diff --git "a/data/dm_maths/full_data_1/11139_11255.jsonl" "b/data/dm_maths/full_data_1/11139_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11139_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(l) be the second derivative of l**6\/360 + 59*l**4\/6 + 122*l. Let c(r) be the third derivative of x(r). Let z(y) = -90*y**2. Determine z(c(g)).\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -25*d**2 + 26*d - 3. Give r(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/15477840 and 46\/19173.\nAnswer: 170256240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4224023 (base 5) to base 13.\nAnswer: -26131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 1489601*b + 744797*b + 744799*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/13 + 50*j**3\/13 - 232*j**2\/13 = 0?\nAnswer: -29, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394 is divided by 1597.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/49 in 2\/23, -4\/7, -0.1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) + (sqrt(200)*4)**2) + 5.\nAnswer: 10*sqrt(2) + 3205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (3 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507933 is divided by 1507439.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664.89l in millilitres?\nAnswer: 4664890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c - 1825. Let q(d) = -8*d + 2. Give 6*l(p) + 3*q(p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2112.7 + -2250. Let g = 137 + b. Let d = -3 + 3.3. What is the third smallest value in g, d, -0.9, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - p - 20 = 0, -4*p = 2*t + t - 12. Suppose -t*i = -5*i + 3, u + 5*i = -19985. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -13 - -27) + (-1 - -6) - 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 0 + (-44 - -42)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/(1\/(-3)). Suppose -57 = h - 2*v, -8*h + 6*h = -2*v + 104. Is i\/(-1) - (2 + h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 2\/177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27611 by -11.\nAnswer: 27611\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 944131, 944160, 944189, 944218, 944247, 944276?\n\"Answer: 29*i + 944102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 89) + -5815 + 5807?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 840*t**3 + 44510*t**2 + 775320*t + 4259645.\nAnswer: 5*(t + 13)**2*(t + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*t - 10, r - 3*t = -2*t - 2. Factor -47*u**2 + 3 - 184*u - 32 - 4*u**3 - 73*u**r + 67*u.\nAnswer: -(u + 29)*(2*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i + 6*i. Let x be 12\/8 - i\/(-4). Suppose -v - x + 4 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 12 = -4*l + 8*w, -2*w + 12 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9575955 is divided by 503997?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 123*x + 304. Calculate r(64).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 9:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352908358.\nAnswer: 2, 11, 283, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let d = 1 + b. Suppose 3*o - 5*k = 7*o + 25, -3*o + k = -5. Solve 3*p = -d*u + 1, o = -4*u - 5*p + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254 (base 15) in base 6?\nAnswer: 53411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -37?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22 + 18)\/((-2)\/(2\/1)). Let f = 0.6 - 0.1. Which is the second smallest value? (a) f (b) 2\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (937*k**2 - 2016*k**2 + 731*k**2)*(-2 + 2 - 2*k) to y*k**2 + r + v*k**3 + f*k and give v.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 22. Let q be j(9). Suppose 20 = -0*p - q*p, 0 = 5*t - 2*p - 865. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131281 is divided by 373.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = h. Let b be (-2)\/(-4) - 3\/14. Sort 3\/8, h, b.\nAnswer: h, b, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1 + 0 - 2*l**2 + 0*l**2 + l. Let g be q(-1). What is the common denominator of g + 77\/20 + 1 and 79\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 23, 31, 39, 47?\n\"Answer: 8*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358857 to the power of 1\/2, to the nearest integer?\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0223 - -2.0223. Let s = 16 + -3. Let b = s + -16. What is the third biggest value in b, 5, o, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8 and 17\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 648030611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/761008 and -89\/64?\nAnswer: 3044032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8902933 to the power of 1\/2, to the nearest integer?\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1100 + -547. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -65*y + 71*y - 7. Solve -23*l + 24*l - 5*c + 18 = 0, -5*l - y*c - 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -98 + 14 + 0 + -18 + 83?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 82*v**2 + 11*v - 19. Let k be t(12). Let u = -166975\/14 + k. What is the common denominator of u and -65\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*z + 134808275 - 134786259 for z.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/100 - 7*z**5\/150 - z**4\/10 - 9*z**2. Find u, given that k(u) = 0.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.44*-132993.\nAnswer: -58516.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5424, -1, -2 in decreasing order.\nAnswer: 5424, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36399 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3*v**2 + 5*u**3*v + 4*u**2*v + 103*u + 2*v**2 + 3 wrt u.\nAnswer: -6*u*v**2 + 30*u*v + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1602 and 7008?\nAnswer: 1871136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-30 + -13 + 11)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let g be -1028*204*(-9)\/(-48). Is g\/(-9) - 0\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4712 is divided by 126.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 1, o: 4, u: 1, j: 3, y: 1}. Give prob of sequence ooou.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13458456 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6*2*2. Suppose -3*a + 13 = -3*v - 17, -4*v = -4. Calculate the least common multiple of a and (-1 - 0) + (k - -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/6 - 1\/2. Let s(r) = -6*r + 11. Let w(h) = 2*h - 4. Let k(p) = -2*s(p) - 7*w(p). Let o be k(4). Is l at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 0*q - 3\/2*q**2 + 0*q**5 + 3\/2*q**4 + 0*q**3 - 1\/2*q**6 - 5. What is o in p(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220\/397 >= -0.99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2\/4 - (-11 + 11).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -880 - 15*c + 883 - 20*c in the form p + o*c and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 7. Let k be (-22)\/(-77) + 80\/14. Let h(a) = 4*a - 18. Let o(d) = -d - 17. Let m(s) = 3*h(s) - 2*o(s). Determine k*m(q) + 17*i(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265108 divided by 1?\nAnswer: 3265108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137927384713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-7 - 21) - 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95729 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-2 + -3 - (sqrt(720) - (sqrt(720) - 1*sqrt(720)) - sqrt(720))\/sqrt(10).\nAnswer: -6*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - w + 4*w = 49, -4*w = 5*d + 65. Let q = 26 + d. Solve 0 = 3*p - q, 4*k + p - 5 - 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 949, 2, 0.5, -1\/51 in increasing order.\nAnswer: -1\/51, 0.5, 2, 3, 949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:23 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34717 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j - 61464 = 106*j. Let w be -2 + 1 - (-113554)\/(-24). Let g = w - j. What is the common denominator of -101\/22 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:20 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14017*l + 4. Let j(q) = -344425730*q - 98287. What is 98287*g(m) + 4*j(m)?\nAnswer: -14041*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h + 3*m - 3096 = 0, 3*h + 5*m = 2311. Calculate the common denominator of (-1)\/(-4) - h\/36 and -1 - (-1)\/(4\/(-64)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 275 = 121 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*c + 56870, -4*a + 80257 + 33435 = -4*c. What is the remainder when a is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.035? (a) 5 (b) 0.5 (c) -2\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100001 (base 2) to base 12.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93644 + -48247. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 0.1 (b) -4 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47810 and 3852120.\nAnswer: 26964840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -955 + 12*k + 955 - 3*k**2 - 23*k to u*k**2 + n*k + h and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u - 4. Let j(x) = -x**2 - x - 1. Give -b(s) + 3*j(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*r = -42*r - 16*r - 8400 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-1)\/12)\/((66\/9)\/1).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*y + 35*y**2 + 150*y in the form f*y + n*y**2 + x and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30449911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -151, -295, -435, -571?\n\"Answer: 2*z**2 - 150*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1176)\/645 - (-189)\/105. What is the third biggest value in 1, p, 12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 7. Suppose 4*k - m*k = 185. Let x = k + 110\/3. Put 5, x, 2\/11 in decreasing order.\nAnswer: 5, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 197675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaaaahaahaaaaaaaaaa. What is prob of sequence hh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*v - 12 = 0, 0*q - 4*q + 20 = 5*v. Suppose 4*a - 5*p = 498, q*a - p + 510 = 4*a. Let s = a - 891\/7. Is -3 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 13 = -2*d - 5*r, 0 = -d + 5*r + 27. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/(-69))\/(3\/(-30))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -278*p - 829. What is u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6 - 0) + (-1 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*x - 77735 - 100675. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3859 - 1021 = 11*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/91 + 378\/2457. Let n = 0.3 + -2.3. Put -14\/9, n, v in descending order.\nAnswer: v, -14\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 327, 638, 935, 1212, 1463, 1682, 1863?\n\"Answer: -q**3 - q**2 + 321*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - g - 2683 = 0, -2*g + 5*g = -3. Is a\/(-17) - 16\/(-136) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(0 + (-4)\/(-16)). Let k be (-20)\/14 + 3366\/1386. What is the second smallest value in k, -5, m, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let d(j) = j + 6. Let f be d(-4). Let r be w(f). Suppose 2*z + 4*h = 0, -r*z + 2*h + 10 = h. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 1059*q - 1049*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252) + sqrt(252) + -1)*-2.\nAnswer: -24*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1645)\/1316)\/((-370)\/16)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + -4 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.39 - -0.29. Suppose p - 5*p = 5*y - 17, -y - 3 = 4*p. Which is the second smallest value? (a) 0 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 - -10040?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14179 is divided by 954?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from znzzzzzznzzz.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235*j + 338*j - 1556*j.\nAnswer: -3453*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:15 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 121 = -p - 245, 4*z + 4*p = 472. What is the remainder when 144 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:47 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*i - 18 + 42, 3*g = -i + 13. Let p be ((-30)\/(-25))\/(2\/g). Let t(x) = x + 4. Calculate t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 - l - 2. Determine b(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*c**2 + 7 + 5*c + c - 175*c**2 = 0. What is c?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Let d(m) = 5*m + 4. Suppose 3*t + 0 - 6 = 0. Suppose t*q + 2 + 2 = h, -q = h - 1. Calculate q*d(j) + 4*z(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + q. Suppose 8*a = 65 + 39. What is the remainder when j(2) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**6\/10 + 71*k**5\/10 - 21*k**4\/4 - 27*k**2\/2 + 124*k + 5. Find the third derivative of r(t) wrt t.\nAnswer: 72*t + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163358467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, -159 in ascending order.\nAnswer: -159, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1715, 0.505, 0.29?\nAnswer: 0.505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 + 266\/(-6). Let n = -26 - t. Let p be (-2)\/(n + -1)*2. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.03 - 182.97. Let x = c + 185.4. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 0*l**2 - 2*l + 63*l**3 - l - 5*l**2 - 3.\nAnswer: 63*l**3 - 4*l**2 - 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71275, -73942, -78387, -84610?\nAnswer: -92611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -896 + 18818\/21. What is the fourth smallest value in 2\/5, i, 1\/5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231474)\/(-43485) - (-64)\/(-10)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24160968 divided by -4026828.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 65 = 9*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -12 - 0. Suppose -a*z = z. Suppose 28 = -z*b - 4*b. Let f(j) = -j**3 - 6*j**2 + 6*j + 1. Give f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:54 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -17*c**3 + 4*c + 177899 + 3*c**3 - c**2 - 177895. Give f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -5948.\nAnswer: 3\/2974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31200461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 527188 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**0)*c**(24\/5)*c assuming c is positive.\nAnswer: c**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 5*p**2 + 9*p - 5. Let d(f) = 26*f**3 + 6*f**2 + 3 - 8*f**3 - 5*f - 17*f**3 - 3*f**2. What is 3*c(q) + 5*d(q)?\nAnswer: -q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 12*m**2 + 12*m - 11. Let f be 41\/(-246) + (-82)\/12 + -6. Calculate x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Let i = 44 + n. Suppose 0 = -7*w + i + 9. Solve 3*b + w + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l - 15. Let t(h) = -16*h + 44. Calculate -17*p(q) - 6*t(q).\nAnswer: -6*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*z + 13*z + 16264 = 116*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.539mg to grams.\nAnswer: 0.812539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(-13*6\/(-702))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135.326 * 4.\nAnswer: -541.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from expvpxjppjjejexx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 33 + 6)*(25*c**3 + 2*c**3 - 3*c**3) - c**3 - 3*c**3 + 8*c**3.\nAnswer: -860*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 776 - 727. Let h(r) = -3*r + j*r - 26*r + 7*r + 51*r. Let n(m) = m**2. What is h(n(i))?\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4975*f = 77579 + 469671 for f.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.96438ml in litres?\nAnswer: 0.05096438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*x - 5111*x + 8419 = -38477 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)**13*f**3*f**0 assuming f is positive.\nAnswer: f**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 28. Let b = r + 4. What is the remainder when 51 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1 + 1 + 2*q**2. Suppose 56 = 5*a - 34. Let k(o) = 2*o**2 + a*o - 18*o. Give c(k(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y. Let u(q) be the third derivative of q**4\/2 - 87*q**2 - q. Calculate l(u(n)).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 6*d - 6*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59210)\/(-17638659)*(-18)\/(-10)?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21815579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 - 4*w + 11. Let q be p(3). Let a = q + -45. What is the least common multiple of 2 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -268*d**3 - 61*d**2 - 6*d - 173. Is h(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 3788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000361204 to 7 decimal places.\nAnswer: -0.0000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3798 + -16743464.\nAnswer: -16747262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -4980336?\nAnswer: 498033.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*c - 254 = 1858 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*i - 3*z, -4*i + 3 = i + z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -1\/6*f**3 + 0*f**2 + 2*f + 1. Let s(m) be the first derivative of y(m). Let t(p) = p. Give s(t(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -565 (b) -1\/2 (c) -0.24 (d) -3 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*l + 26, 0*f + l + 20 = -3*f. Let j = 1124615 - 1124619. Sort f, j, -2, 0 in increasing order.\nAnswer: f, j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((147\/4)\/(-7))\/((-1)\/12). Let w = -207 + j. Is (-4)\/(4\/w*2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -23*r**2\/2 - 14*r - 46. Let x be a(-4). Suppose 59 = -x*t + 79*t. Is t not equal to 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167550847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 260630 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/(d\/d**(2\/13)*d))))*d)\/(d*d**(-1\/4)*d)*(d**2*d)**(-18))**(4\/7) assuming d is positive.\nAnswer: d**(-393\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2390, 54, 4, -7, 0 in ascending order.\nAnswer: -7, 0, 4, 54, 2390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 120*q. Let l(p) = -7*p + 2. Determine i(l(u)).\nAnswer: 98*u**2 - 896*u + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2412, 252, 3 in increasing order.\nAnswer: 3, 252, 2412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 times 1885.9?\nAnswer: 17916.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2 + 1238*r - 413 = 0?\nAnswer: -413, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19183*k - 38386. What is g(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: aa305 (base 11) to base 4\nAnswer: 213011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40069?\nAnswer: 17, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 113 - 17 - (-2)\/(2\/(-1)). Suppose 0 = -35*y + w + 185. Solve -r + y = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3709*s + 281910. Give c(-76).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 903\/2*f - 108 + 15*f**4 - 97\/4*f**2 - 4319\/4*f**3 = 0.\nAnswer: -3\/4, 1\/3, 2\/5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -50*u - 1194. Determine r(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*x**3 - 45*x**3 + 98*x**3 - 2*x**2 + 720*x wrt x?\nAnswer: 168*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04247 times -29?\nAnswer: -1.23163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*n - 4, 8*n - 3*n = -p + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 6. Let k = -20 + 26. Let w be u(k). Solve w = -2*m + 4*c - 26, m - c = -2*m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 23*q**2 + 17*q. Let t(k) = 8*k**2 + 6*k. Let o(d) = 17*t(d) - 6*u(d). Let y(r) = -21*r**2 + 2*r. Calculate o(y(b)).\nAnswer: -882*b**4 + 168*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 166634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 526 and 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(16 + 10 - 2)*(-2*b + 3*b + 3*b).\nAnswer: -192*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302855 is divided by 8965.\nAnswer: 7010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 7*s)*(s**4 - 2*s**4 + 2*s**4) - 3*s**5 + 5*s**5 - 3*s**5 + (3*s**5 + 3*s - 3*s)*(1 + 0 + 2).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1230980337\/222838 + -522\/15917. Let k = r + -5527. Calculate the common denominator of k and (-7 - (-637)\/63)\/((-1)\/6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrrr when four letters picked without replacement from {y: 1, h: 2, r: 5, c: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**7\/1960 - q**6\/210 - 3*q**5\/280 - 4*q**3\/3 - 2. Let h(c) be the third derivative of u(c). Factor h(r).\nAnswer: -3*r*(r + 1)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5548712 minus 2?\nAnswer: -5548714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456491 rounded to the nearest one thousand?\nAnswer: 456000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 3*t = -224, 5*t = 10. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -5*r, -2*f = -4*r + 2*r - 34. Differentiate f*b**3 - 14*b**3 - 8 - 15*b**3 + 0 wrt b.\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*4\/8*(-9)\/(-18). Let g(t) = -25*t + n + 0*t - t**2 + 21*t. Give g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsaawbsbwasawbwws. What is prob of sequence asw?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11909*g**4*z**2 + 2*g**4 - 23796*z**2 wrt g?\nAnswer: 47636*g**3*z**2 + 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*p**3 - 3*p**4 - 2*p + 91*p**3 - 16*p**3 + 191 - 34*p**3 as z*p + v*p**4 + o*p**2 + r + i*p**3 and give r.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 3, c: 13}. What is prob of picking 3 c?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*r + 355, 3*t - 3*r = -2*r + 211. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374261, 374263, 374265, 374267, 374269, 374271?\nAnswer: 374273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let l be 3\/(-1 - 22\/(-16)). Let i = l + n. Solve 0 = -5*r + 2*x - 9, -i*r + x - 6 = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i + 120196 - 240591 + 120395.\nAnswer: 45*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqg when three letters picked without replacement from {g: 5, q: 2, m: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428 a factor of 78521520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 25*o**2 - 25*o - 31. Let s be n(26). Let q = s + 57. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(162))**2 - sqrt(162)) + ((sqrt(162) - -2*sqrt(162))*5)**2 + 2*((-2 + sqrt(8))**2 - -2*sqrt(200)) + 5.\nAnswer: 33*sqrt(2) + 35831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 + 1100112001?\nAnswer: 1100121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 632044000 to the nearest one million.\nAnswer: 632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*g*p - 2*f*g + 9083*f*p + f + 298297*g*p - 2*g - 2*p wrt g.\nAnswer: f*p - 2*f + 298297*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -1\/4*d**4 - 7*d + 209 + 1\/2*d**2 + 0*d**3. Let u be (-2)\/4*(3 + -3). Calculate v(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*s + 128, -5*g + 2*s + 33 - 160 = 0. Let o be 15*3\/g*-3. Let y(i) = 3*i**2 - 9*i + 20. What are the prime factors of y(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 4*m - m)*(0 - 2 + 3) + ((-4 + 1 + 2)*(-1 + 1 - 2) - 4 - 1 + 4)*(-2*m + 0*m - 2*m) to the form w*m + s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -857*y + 41998. What is j(49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwhbhbwbhbhhhhhh. What is prob of picking 1 h and 1 b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1536758 and -0.44.\nAnswer: -676173.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 377, 11, 29\/8?\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17032, -17004, -16960, -16894, -16800?\nAnswer: -16672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-18)\/t)\/t**(-40))**(-35) assuming t is positive.\nAnswer: t**(-735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2. Suppose 3*j = -2*j - 10. Let q(v) = -v**2. Determine j*x(s) - 9*q(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 2, -2\/15, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 12. Let j = 7 + f. Let z be ((-2)\/j)\/((-1)\/(-15)). Which is greater: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-160)*2*(-40)\/45.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3325825 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23262162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12490316 divided by 6245158.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14998 - -14997.869336. Let t = b + 0.134. What is t rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 273. What is the lowest common multiple of 24 and z?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 951 = 3*r + 193, -5*r - 4*s = -1288. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a**2 + 5*a - 9. Let d be j(3). Let w = d + -79. Put 5, w, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 93.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8583.852 micrograms?\nAnswer: 0.000000008583852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3 + 15, -2*h = -3*r + 302. Let v = -50 + r. What is the remainder when v is divided by ((-181)\/362)\/((2\/104)\/(-1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15226217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 2)*(c**3 + c - c) + (-357 - 206 - 9)*(2*c**3 - 2*c**3 + c**3) + c**3 - 2*c**3 + 3*c**3 to o + t*c**3 + l*c + m*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11676 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 107 + 57 = h, -2*a - 2*h - 48 = 0. Sort a, -11, -4.\nAnswer: a, -11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*w - 25 = 0, 20720*u + 5*w + 120 = 20719*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6229 and 85.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -916*t**2 - 6*t + 6. Let i(o) = 1838*o**2 + 10*o - 11. What is -3*i(f) - 5*n(f)?\nAnswer: -934*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3, 2, -4007, -3, -1\/4 in decreasing order.\nAnswer: 3, 2, -1\/4, -1\/2, -3, -4007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-10992.\nAnswer: 1099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*u, 2*m = 3*u + 5 - 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -895770 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2. Let f(x) = -9 + 2 + 8*x**2 + 7. What is f(r(q))?\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by -24371.\nAnswer: 79\/24371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 9.5 (c) 11.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 178949762 to the power of 1\/2, to the nearest integer?\nAnswer: 13377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1455, -5 in descending order.\nAnswer: 1455, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = k - 271752, -2*k + 339693 = 77*n - 72*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 + 34 = -3*j, -4*d = 2*j - 34. Let c = 9 - d. Let u be c\/(-4) - 77\/(-28). Solve -u*r - 4 = -7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, 340, 944, 1798?\n\"Answer: 125*r**2 - 21*r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose -5*b + a = -10*b, b + 5*a = 0. Determine w so that b*w**2 + 2*w**s - 3*w + w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51 and -495.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41794 + 41794.54714. Round t to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 14*y - 12*y. Suppose y = x - 28. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-19 + 52)) + 1 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*i + 2. Suppose -4*y + i = v - 2*y, 5*v - 50 = 2*y. What is the least common multiple of 9 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((30\/(-6))\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose 12 = v + 2*v. Suppose v*b + 14000 = h*b. What is b rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*w**2 - 5*w**2 - 4*w**2 + 3)*(627 - 627 + 136*w) to h*w**2 + f*w + z + m*w**3 and give f.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/13 (b) 20 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/157, -122, -215?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (0 + -3) - (-20 + 27 + -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 34. Suppose -3*u - 16 = -5*o, q*o - 3*o - 5*u = -30. What is the units digit of -1 - -1 - ((-556)\/4 - o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/43)\/i*i**(6\/11)*i assuming i is positive.\nAnswer: i**(236\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 226 - 14843122020\nAnswer: -14843121794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/(2 - (-150)\/(-72)). Suppose -2*v = -o*r + 21882, r = -2*r + 5*v + 16408. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5012.0024552 + 5012. What is m rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19798.\nAnswer: 2, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 16.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419 - 136. What is the remainder when c is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327*j**3 + 19565*j**2 - 125134135*j wrt j?\nAnswer: 1962*j + 39130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 46212.\nAnswer: 7\/11553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 78849774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3 + 1 + 1. Let z(g) = -2*g - 2. Suppose 0 = -3*m - 11 - 4. Let p(h) = m*s(h) + z(h). Differentiate p(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*d**2 - 66*d**2 + 139 - d**4 - 2*d + d - 104 wrt d.\nAnswer: -12*d**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -143 + 11 - (-2)\/2. Let v = h + 221. Suppose 5 - v = -5*l. Does l = 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2*q - 4. Suppose 0 = 9*b - 6*b + 18. Let z be d(b). Suppose z = 4*i - 264. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 3*t**2 + 3*t**2)*(0*t**2 - 5*t**2 - t**2) + (-79*t**4 - 179*t**4 - 17*t**4)*(2 + 1 - 2).\nAnswer: -263*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + 0)**2*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k + 5. Let f(w) = -17*w - 8. Calculate -4*d(r) - 3*f(r).\nAnswer: -21*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -17.6468.\nAnswer: -15.6468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(343) - sqrt(343)*-5)*2)**2 + (2*sqrt(343)*3 - ((2*sqrt(343))**2 + 4)).\nAnswer: 42*sqrt(7) + 146800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.11 (b) -2\/7 (c) 0 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*r**3 - 16*r - 3085?\nAnswer: 27*r**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.065 - 14. Let j = 30.065 - n. Let i = j - 30.17. Which is the closest to -1? (a) i (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 + 5 - (1 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 107 = -4*j, 541*s + 6 + 22 = j + 538*s for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 15*r**2 + 38*r - 132. What is c(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 958 = 4*m - 1261 - 101. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = v, 0*o + 1 = -o. Let s(g) = -g**2 - 6*g + 2. Let m be s(4). Let u = v - m. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 + -0.1. Let h = -3 + s. Suppose 0 = j + 2*m + 7, 10*j = 3*m + 22. Which is the smallest value? (a) -4 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/580 and (16 + -19)*(-595)\/(-986).\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3628 = -7*m - 9791. Let n = m + 2810. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:13 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2667*z - 1542*z - 1 - 600*z + 1294*z.\nAnswer: -3515*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 880 + 15*c - 8*c - 6*c - 890. What is z(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 160 = -t. Let w = -10 - t. Suppose 116 = 3*b - w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:50 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -688982203 less than -15.8?\nAnswer: 688982187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38 + 0.36. Let t = 2.98 - l. What is the third smallest value in t, -4, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11454 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -58537373 equal to -58537374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 10 + 3 = -6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117320898 is divided by 5427?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/70)\/((-18)\/(-7) + -2). Let x = 17.5 - 17. Which is the closest to h? (a) -1 (b) 4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1212?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7*j - 15. Suppose -19 = 3*t - j*a, -3*a + 11 = -t - 2. Solve -2*f + 2*k - 4 = 0, -4*k - k + 10 = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 244\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 - 370613*p + 59*p**2 + 0 + 370613*p - p**3 + 2 in the form d*p**2 + x + h*p + m*p**3 + y*p**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87066 * 3.\nAnswer: -261198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.99? (a) 0.51 (b) -2\/9 (c) -0.2 (d) -0.95 (e) 1\/6 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012522729676 to 7 dps.\nAnswer: -0.0125227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 106*s**2 - 117*s + 647. Calculate k(52).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(88\/(-42)) - -5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15355, 15415, 15477, 15541, 15607, 15675?\n\"Answer: y**2 + 57*y + 15297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (4 - 10) + 100\/15. Let s = 13.711 - -0.289. Which is the third smallest value? (a) 2\/9 (b) 0.4 (c) s (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*d + 35 = d, -5*x = 3*d - 90. Let y be (-3)\/(1 - 24\/x). Solve -3*b + r = 12, 5*b + y*r + 22 = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgrlngu. Give prob of picking 1 r and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -60*m**3 + 3*m**2 - 23*m - 114. Let q be g(-5). Round q to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from xfffcccfffc.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 0.02, -5, 13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v\/((v*v*v**(9\/2)*v*v)\/v))\/v))\/(v*v**(1\/45)) assuming v is positive.\nAnswer: v**(583\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 62*x**2 + 3121*x + 1420. What is s(95)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24718 (base 12) to base 14.\nAnswer: 14016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/3, 0.1, 3, -0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 21*c**3 - 5*c**2 - 4*c - 5. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - y + 11. Let l be b(-4). Let u = 31 + l. Let w be (u - (1 - 2)) + 5. Solve 12 = -w*r - 2*s + 6*s, 0 = -r - 2*s - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61044180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 124659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-8 + 23 + -20)) + -45.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316382 is divided by 2132?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 386459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 252401042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5044561760 + 2*t**3 - 5044561760.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -39 + 8 - 8. Which is the biggest value? (a) -4 (b) 0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 0)*(21 - 12 - t + 2) to v + h*t and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**5\/30 - 3*d**2 + d. Let k(m) be the first derivative of n(m). Let p(r) = -5*r. Calculate p(k(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 15 - 21. Calculate the remainder when 40 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.996 - -10.896. Sort 0, f, 2\/11, 1, -7 in ascending order.\nAnswer: -7, f, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9291 greater than or equal to -9292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t - 2*t - 2*t + (-5 + 5 - t)*(5 - 5 - 5))*(-2*t + 20*t - 3*t) to i*t**2 + j*t + y and give i.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -261.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -39. Suppose -d - 7 = -2*w, 4*d = -w + 4*w - 3. Determine z, given that -5*z**3 - 6*z**2 + l*z**d - 3*z**2 + 12 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 + 2*a - 7. Let x be r(5). Suppose i - x = -2*i. Let o(v) = -3 - 4 - 4*v + i + 4. Give o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*b + b - 4*b)*(2*b - 4 + 4)*(1 - b - 2 + 0*b) to o*b**2 + m + s*b**3 + k*b and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2 and 17\/80179?\nAnswer: 160358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a - 2. Let x be u(9). Let v = -11 + x. Calculate the remainder when 126 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122020212022 (base 3) to base 13\nAnswer: -bb772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10488 and 79\/104481?\nAnswer: 19224504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Let c(u) = u**3 - 4*u**2 + 4*u + 1. Let d be c(o). Let t = -707\/5 - -141. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*v**2 + 63180*v**3 - 126429*v**3 - 242*v**2 + 63255*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, 45, 82, 99, 90, 49?\n\"Answer: -f**3 - f**2 + 61*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - q + 182*q**2 - 180*q**2 + q to o*q + g + s*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*p**2 + 0*p + 3*p**2 + 0*p + (2*p - p + 2*p)*(-3*p + p + 4*p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1010, 26.\nAnswer: -1010, -2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18449196971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*s - 10. Suppose j - 24 = 3*j - s*w, 8 = -2*j - 2*w. Let m(c) = 5*c**3 + 3. Let r(d) = -14*d**3 - 8. Determine j*m(t) - 3*r(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - -32. Let f = n + -118. Is (6 + 0)*(f - 0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4863751 (base 9) to base 2.\nAnswer: -1010000100100111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.044, 0.2, 4 in ascending order.\nAnswer: 0.044, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 20*k - 8486284, 35*k + 4*n + 1272971 = 38*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-21) - 6657\/(-49). Let k = j - 89. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 2406*i - 34272.\nAnswer: 3*(i - 816)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 10\/473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11546 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -57. Let a(y) = -3 - 23*y + 19 + k*y**3 + 9*y**2 - y**2. Let o be a(16). Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 133602007*y + 14647 = 133601856*y for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 54*b**2 - 559*b - 72. Let h be k(9). What is u in h - 1\/4*u**3 + 1\/2*u + 1\/4*u**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 - 7*h + 6. Let t be f(6). Suppose 2*d = -t*d - 5*i + 62, d = i + 24. Suppose 134 = 2*n + d. Is 27 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 3*d + 2*d**2 + 3*d)*(d - 4*d + d)*(1 - 2 - 1).\nAnswer: 8*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121252*z + z**2 - 121397*z + 364050*z - 121401*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222110 (base 3) to base 15.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 6*t = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/9 + 10\/45. Let v(w) = -w + 3*w - 3 - z. What is the units digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - 5*h**2 - 7*h - 7. Let y(x) = -3*x**3 + 2*x**2 + 3*x + 3. Let o = -790 - -793. Calculate o*z(m) + 7*y(m).\nAnswer: -6*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 8*h**5 - 572*h**4 + 280*h**3 + 284*h**2 = 0?\nAnswer: -1\/2, 0, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 + 1 = 0. Let w = 3551 - 3550.5. Which is the second smallest value? (a) 3 (b) w (c) -0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = f - 8*z + 11*z, -2*f = 5*z - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/60 - m**4\/4 - 11*m**3\/6 - m**2. Let a be n(8). Solve 5*d - 2*d + 9 = 3*y, -2*d + a*y = 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-574)\/287)\/(2\/(-6)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-42)\/(-6) - -11) + 1. Let k(o) be the first derivative of -19\/3*o**3 + 23*o**2 + p*o + 28. What is the second derivative of k(y) wrt y?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -25. Suppose -5*y + y = -n. Suppose -y*o = 4*w - 13 - 10, -5*w = o + 8. Calculate the greatest common factor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 32 - 8 = 0. Suppose -k - 63459 = -2*l, -i*k + l - 63455 = -7*k. Let a = k - -131451. Round a to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 5.7. Let h = -1.947 - 0.053. Which is the biggest value? (a) r (b) h (c) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 + 11*q + 2. Let l(r) = 3*r**2 + 4*r + 1. Suppose -3*m + 3*k + 33 = 0, -2*k - 2*k = -4. Suppose -a - m = 2*a. Calculate a*i(n) + 11*l(n).\nAnswer: n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + -3. Let j = -27 - p. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(14)\/(sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)))**2 - sqrt(7)*1*-2*2.\nAnswer: -2*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53720743 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 974905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 12*j - 56. Determine r(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnin when four letters picked without replacement from {i: 1, n: 3, e: 12}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2\/5*k**5 + 0*k**4 - k**2 - 4 + 0*k**3 + 0*k. What is the second derivative of l(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 18 + 28*g - 86*g + 26*g + 23*g.\nAnswer: -9*g + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -317 - -3162?\nAnswer: 2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = -2*d + 27, 4*u = 3*d - 51. Suppose -4*a + d = -5*w + 6, 2*w + 8 = 2*a. Let z be 1\/4*(w + 3). Which is smaller: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1942 - -1946. Let a(l) be the second derivative of -3\/2*l**3 + 1\/6*l**d - 10*l + 0 + 0*l**2. What is the second derivative of a(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-16 - 1 - (-117 - -96))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (12 + -2) - 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/7046986 and -22\/57?\nAnswer: 21140958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*p - 8. Let o be (1 - 2)\/((-2)\/(-10)). Which is the biggest value? (a) -1\/4 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101010 - -10001110010000001001?\nAnswer: 10001101111111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2. Let o(j) = -14*j - 12. Determine o(s(x)).\nAnswer: -84*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 + -3 + -557. What is r rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 2, q: 1}. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42059 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31126496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) -0.2 (c) -1\/4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(500) + -2)**2*6 + (0 + sqrt(500) + (sqrt(500) + (sqrt(500) + 2 - sqrt(500))*-1 - sqrt(500)))**2.\nAnswer: 80*sqrt(5) + 3510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5737300 or 5737293?\nAnswer: 5737293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*h + 356 = 0, 0*f - h = -4*f + 700. What is the remainder when f is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002492 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*l**2 - 4*l + 10?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 2. Let d be b(2). Let y be (-6)\/(-2) - d\/2. Which is smaller: 2\/29 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138.78 + 132. Round a to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(513) + 2*sqrt(513)*-2)\/(-1*sqrt(36)))\/(sqrt(18)\/(sqrt(726) + -2*sqrt(726))*4))**2.\nAnswer: -62073\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2108594008 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63500 = 7*v - 2*v. What is v rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2576\/(-3381))\/(8\/12)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/33 and 115\/54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:41 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -12*h + 14*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.6 - -67. Let f = -0.6 - h. Let j = -3 - f. What is the third smallest value in j, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 2*a - 6296. What are the prime factors of a?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 43*p**3 - 30*p**3 + 100*p**3 + 3 + 27*p**4 + 9*p - 27*p**3 to n*p + q*p**3 + r + t*p**2 + c*p**4 and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6482.2 + -6485.2. Let n = 0.3 - 0.2. Sort 0.2, n, l, 5 in increasing order.\nAnswer: l, n, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 127*t + 1. Let a(h) be the second derivative of 4*h**3\/3 - 2542*h. Calculate u(a(c)).\nAnswer: 1016*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 44. Let f(a) = 6*a - 221. Let r(z) = 2*f(z) + 11*l(z). What are the prime factors of r(0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -591?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523657?\nAnswer: 523657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 198631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 2*x + 25, -9*i = -4*i + x + 37 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + 13.1. Let b = 14 - w. What is the second smallest value in b, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**2 + 64*g**2 - 38*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 6252 (c) 3 (d) 4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 64. Let l be w(7). Let d(r) = -24982*r + 24982*r - l*r**2. Let y(q) = 13*q. Give y(d(b)).\nAnswer: -104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x + 1. Let a be l(-1). Suppose 3*o = -3*v - 6, 2*v + a*o - 1 = 4*o. Suppose u - v*z = 4*u - 24, -13 = -5*u + 4*z. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-1 - -2) - (-20 - -18 - -13).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4163*t + 8295. What is g(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 427*d**2 - 6*d**4 - 427*d**2 + 1 + (3 - 3 + 2*d**2)*(-2*d + 0*d - 2*d)*(0*d - 2*d + 3*d) in the form r + l*d**4 + t*d**2 + u*d + g*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aattatattaaaatttaatt. What is prob of sequence aa?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16723 = 5*p + 2*n - 15890, -5*n = -20. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.9 + -12.9. Suppose -3*f - 20 = f. Which is the closest to i? (a) f (b) -3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**2. Let s = 73 - 73. Let x(w) = -w + s*w - w + 5*w. Calculate x(t(k)).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, y: 7}. Give prob of sequence yyy.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4340, 4333, 4326, 4319, 4312, 4305?\n\"Answer: -7*f + 4347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 - 140. Which is bigger: o or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 + -4 + 1. Suppose -3*v = 4*r + 2, -3*r - 9*v + 4 = -4*v. Is t bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15)\/(((-192)\/25632)\/(36\/(-54)))\nAnswer: 89\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - (1 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from iddfdddamiididieddmi?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -76\/3. Let c = -64 + 78. Let l be 63\/c*4\/(-6). What is the second biggest value in h, l, 15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a79 (base 12) in base 3?\nAnswer: -11110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 13) to base 5\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -16. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -938.6877 - 7.0523. Round g to the nearest 10.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:50 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -32*q + 1796. Suppose 0 = -5*d + 20, v + 96 = -4*d + q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36000 and 11124?\nAnswer: 11124000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 times 2.50527?\nAnswer: 0.8016864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 35 = 7*i - 11*i, 2*i = -3*y + 25. Suppose 0 = 2*o + i*o - 30. Solve 3*s + 3*n - 15 = 0, o*s - 21 + 2 = -5*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/17)\/z)\/z)\/z**(-1\/10))**36 assuming z is positive.\nAnswer: z**(-5454\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10.986 (b) 0.4 (c) 3\/7 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -71+4\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11) + 2)**2*-2*4 - (1 + -3*(sqrt(11) + 0)**2 + sqrt(22)\/sqrt(2)*5).\nAnswer: -88 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331022101 + -12?\nAnswer: 331022023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -521*y**2 + 155*y**2 - 38*y + 184*y**2 + 176*y**2 - 5 to the form f + p*y**2 + v*y and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 14) in base 10?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -747 (b) -52.38 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/18*20\/6. Suppose 2*h - n*h + 15 = 0. Let a(b) = 11*b**2 + 9 - 2*b - 10*b**2 - h*b. Give a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 11 - 28 - 12. Let d be v(-9). Suppose d = j + 13. Solve 0*s - 9 = j*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(0 - (-6)\/10). What is the second derivative of b**o + 4*b - 2*b**5 - 2*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) -77 (b) -1\/9 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1012, -2015, -3018, -4021, -5024?\nAnswer: -6027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.63 to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49400 divided by -247.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.85, 5, -44, -2, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*s - o - 62, -2*o - 40 = -3*s. Suppose s*q - 11*q - 32 = 0. Calculate the greatest common factor of q and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - x + 11. Let b be v(8). Suppose 2*z - 35 = 5*u, b*z - 25 = 2*u + 22. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 10, -2 in descending order.\nAnswer: 10, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - 2. Let f be u(-2). Let c(y) = -y**3 + 8*y**2 - 6*y - 5. Let j be c(7). What is the first derivative of -f*l**2 + 2*l**2 + l**j + 1 wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25316550?\nAnswer: 2, 3, 5, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -225, -349, -531, -771, -1069, -1425, -1839?\n\"Answer: -29*x**2 - 37*x - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 11*n**2 - 12*n - 6. Let d be o(12). Let b = -344 - -345. Let f be b\/((-5)\/5*1). Do d and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-11)\/3*-3. Suppose -p*m = -13*m - 60. List the prime factors of m\/(-5)*(-150)\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 4 (c) -0.1 (d) -169.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 - 9*w + 4. Suppose 12 = -0*m + 2*m. List the prime factors of f(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*o**3 + c*p + 3*o**4*p + o**3*p + o**2 + 81 wrt o?\nAnswer: -12*c + 72*o*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-10)*550\/(-20). Suppose -z = z - n. Suppose -5*t + z - 17 = 0. Calculate the lowest common multiple of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h + 1. Let l(p) = 4*p**3 + 2*p - 1. Let t = -12 - -11. Let y(i) = t*l(i) - 2*n(i). Differentiate y(q) with respect to q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 10 - 11)*(-b + 0*b + 3*b).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3681*o**2 + 7163*o**2 - 3663*o**2 - 23*o to m*o**2 + r*o + k and give m.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*r = 455*r - 666. Calculate the highest common factor of r and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -0*u - 169. Suppose 10*v + 9 = u*v. Which is smaller: v or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23556 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34+177911922385\nAnswer: 177911922351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/1136773 (b) -1\/2 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(17\/(-935)*11).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*5 + -2 + 0. Let b(j) = j**3 + 31*j**2 - 27*j + 166. Let h be b(-32). Differentiate -t + 14 - 12*t + h - l*t with respect to t.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*w = 94, -4*w = 2*h - 25 - 47. Let d = -13 + h. Let u = 964\/3 - 321. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 292 = -2*n + 225, 0 = -4*k + 5*n - 687. Let f = k - -424. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 73950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/11*i**3 + 0 - 6\/11*i**5 + 2\/11*i**4 - 18\/11*i**2 + 4\/11*i = 0. Calculate i.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*b - 9268 = -340*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138931884.9 rounded to the nearest 1000000?\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 16, 20, -1 in increasing order.\nAnswer: -5, -1, 6, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-221))\/((1\/6)\/((-7)\/(-14)))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 33*g - 322. What is the hundreds digit of p(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)*5 - sqrt(11)) + (sqrt(11) + -2)*3.\nAnswer: -11 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36701*g - 36701*g - 9039*g**2.\nAnswer: -9039*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**7\/70 + o**6\/20 + 3*o**2\/2 - 5*o. Let r(k) be the first derivative of a(k). Let r(j) = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3876522 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 75*p - 47. Let k be j(29). Let y = k + -3363. What are the prime factors of (-2)\/(-6) - y\/57?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -80*m + m**2 + 32 + 160*m - 76*m. Calculate the least common multiple of 40 and u(-6).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*z + 79, 5*z = -3*v + 20 + 23. Let -v*i**2 - 2*i**4 - 5*i**3 + 12*i**4 + 21*i**2 = 0. What is i?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365165443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 4*v**5 + (3*v - 5*v + 3*v)*(2*v**4 - 6*v**4 + 2*v**4) + 0*v**5 + 2*v**5 + v**5.\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607 + 624 - 64*f + 130*f - 64*f.\nAnswer: 2*f + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:11 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (271 - 74) + (-56 - 18)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/210 - 59*w**4\/42 + 39*w**3\/7 - 3992*w**2. Determine r, given that k(r) = 0.\nAnswer: 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -14) + 10 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*f - 91920 = 97790 - 74122 for f.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(1008)*1 + (1*(sqrt(1008) + sqrt(1008)*-2) + 3)**2.\nAnswer: -144*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) - (-1980)\/(-1925).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.07 (c) -11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 + 66*t + 24. Does 24 divide m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-2*3\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -546.0188 rounded to the nearest integer?\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/120 - w**5\/20 + w**4\/4 - 13*w**3\/6 + 11*w**2 - 2*w. Determine k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-323)\/(-38) + -6)*(0 - (-24)\/20). Solve 19 = -4*c + w*f, 3*f - 7 = -25*c + 26*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(912)*1 + sqrt(57))\/(sqrt(3) + sqrt(12)\/sqrt(64)) - ((sqrt(19) + -1 + sqrt(19) + sqrt(38)\/sqrt(2))*-1 + 4))**2.\nAnswer: -70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.983 - -0.017. Let o = v - 30.9999882. What is o rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688526089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1\/3, 5, -6.68, 30?\nAnswer: -6.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 36*q - 88 = 0, -92*q + 18 = -2*w - 87*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.35 - -26.52. Sort -2, x, -3 in increasing order.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + 4 + 2*sqrt(304) + 3)**2 - ((sqrt(304)*2 + 5 + 1*2*sqrt(304))**2 + 0)).\nAnswer: -7328 - 224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8378 and 0.5.\nAnswer: -0.4189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 26. Let s(m) = m**3 + 14*m**2 + 12*m - 6. Let n be s(-13). Let c be x(n). Sort 4, c, 6, 0 in decreasing order.\nAnswer: 6, 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/35 and 41\/32298.\nAnswer: 161490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, 1 p, and 1 r when four letters picked without replacement from prrytyhoyyyyyrpoytry?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/7 in 0.3, -1\/9, 451, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54877 + -1920648\/35. Let o = 342443\/440 + -8574\/11. What is the common denominator of p and o?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -t - 3, -3*t - 5*k = -5*t + 21. Solve 5*c - t*s + 4 = 17, -c - 5*s = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let s be r(-1). What is the remainder when 48\/3*(-1)\/s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20460 is divided by 341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 8 - 2. Let j = -36 + 42. Let d be 980 + m + (j\/3)\/1. Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148161 = -s + 5*r + 710779, -1125211 = -2*s + 5*r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f + f)*(-2*f**3 - 3*f**3 + f**3) + 2*f**4 - 5*f**4 - 2*f**4.\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -9 - -3 - (14 - 4) - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 58 = -38. Let z be x\/(-64) + 11\/(-4). Let g(p) = -p**2 + p + 1. What is g(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 - 4*x + 5. Let c = -20 - -18. Suppose -4*i - 3 = 1. Let s be ((-14)\/c - 3)\/i. Calculate o(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487960.\nAnswer: 2, 5, 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*a - 23 = -2, 0 = 3*d + 5*a - 22. Let j be d + 0 - (-7)\/6. Let 0 - j*i**2 - 1\/6*i = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -11, 0.05, -0.1.\nAnswer: -11, -0.1, -2\/35, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s = -i + 68*s + 43, 0 = 4*i + 2*s - 84. Let y(h) = 5*h**2 + 2*h - 2. Let b be y(2). Suppose i*l - 5 = b*l. Solve -l*z + 13 = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/21 + 4480\/96?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from tyjeyvc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, p: 4, j: 1, k: 1, n: 5}. What is prob of sequence npxk?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -288, -289, -290, -291, -292?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, 4, 5, -3 in increasing order.\nAnswer: -3, 2, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - z + 3*z + 23)*(196599 + 867*z**2 - 196599).\nAnswer: 1734*z**3 - 7803*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 110951, -4, 1 in decreasing order.\nAnswer: 110951, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:23 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h + 2*h**2 + h**3 - 16*h - 6*h - 6 - 13*h. Let p be c(-5). What is the highest common divisor of 198 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*b + 31*b + 980 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from abrbbaahhbaahrh.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 41*d - 2. Let w be l(-13). Let r = w - -762. Calculate the remainder when r is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/77 (b) -60 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 5, j: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-2))\/(((-35)\/(-21))\/(-5)). Let j = 17 - n. Solve -j = -y - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2. Let v(t) = 2*t**3 + 4*t - 4. Let a be v(1). Let h(r) = a*r**2 - 8267*r + 8267*r. Give n(h(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13606 + 27215\/2. Let d(v) be the first derivative of -26 + 0*v + g*v**2 + 1\/3*v**3. Factor d(u).\nAnswer: u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = 5*k - 32, 5*k - 40 = -5*s. Solve 0*z + k = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 102 + 32 = 24*p + 628 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6520*k**2 - 2 + 2218*k**2 - 1912*k**2 + 2. Let f(s) = 2*s**2. Give f(c(p)).\nAnswer: 93188552*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*v - 105 = 0, -5*h = -v + 4*v + 132. What is the remainder when 71 is divided by (-1 - 6\/(-10))\/(h\/810)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93091 minus -0.767?\nAnswer: -93090.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:23 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15747 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7316 (base 8) to base 13\nAnswer: -1957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -146 in 0.5, 2\/27, 1, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 91 = 2*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 75*i**3 - 43677*i**2 - 87575*i - 43824.\nAnswer: (i - 176)*(i + 1)**2*(i + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**4 - 5*w**3 - 7*w**2 + 7*w + 2. Let s(b) = 19*b**4 - 20*b**3 - 27*b**2 + 29*b + 8. Let y(u) = -2*s(u) + 9*v(u). Find f, given that y(f) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + 2*v + 9. Let d(o) = -15*o**2 + 11*o + 46. Let y(z) = 2*d(z) - 11*x(z). Differentiate y(m) with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0266 times -18547.5\nAnswer: 493.3635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j**2 - 23*j + 21. Calculate b(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68583 - -102728.\nAnswer: 171311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70416238 is divided by 6886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -1036, -2828, -5918, -10654?\nAnswer: -17384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)\/k)**(3\/35)*(k*(k*k\/k**(-6))\/k)\/k**(1\/3)*(k**(-3)*k*(k\/(k*k**(-7)))\/k)**(13\/4) assuming k is positive.\nAnswer: k**(2161\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 483, 479, 473, 465, 455, 443?\n\"Answer: -s**2 - s + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - k + 8. Let a(q) = -q**3 - 2. Let o be 6\/12 + (-1)\/2. Suppose 16*c - 3*c - 286 = o. Let v(i) = c*a(i) + 6*y(i). Factor v(t).\nAnswer: 2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(110)\/(sqrt(10) - sqrt(40)) + -2*(4 + sqrt(22)\/sqrt(2)) + 5.\nAnswer: -4*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*l**2 + 337 - 104*l**2 - 337 + 142*l**2.\nAnswer: 181*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 6*f**2 + f - 6. Let m be j(6). Let y(n) = n**2 + m*n - 2 + 0*n. What is the remainder when 19 is divided by y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/21)*p)**34 assuming p is positive.\nAnswer: p**(680\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19052 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1431323 - -12?\nAnswer: -1431311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 119, -31, 43 in descending order.\nAnswer: 119, 43, 5, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/6171 and 15\/217233599?\nAnswer: 651700797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3\/5)*(j*j**(-5))\/j)\/((j*j*j**(-3\/14))\/(j**(-5\/7)\/j)) assuming j is positive.\nAnswer: j**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005555592 to seven dps.\nAnswer: 0.0000556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 8*d - 60. Let c = 17 - d. Suppose -2*u = -5*f - 71 + 27, 0 = 4*u + c*f - 136. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60243303 is divided by 7530410?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 21*y - 98. Let b be t(6). Solve b = 5*r + 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -8*f, d - 5*f + 2 = 0. Let g be (-27)\/(-1) - (1 - 2). Let q = g + d. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 3*y + 1486, -4*u = 5*y + 1482. Let w = -201 - u. Calculate the remainder when w\/(-8)*(-1 + -1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, q: 2, f: 3}. Give prob of picking 3 k.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 8, w: 4}. Give prob of picking 1 f and 1 w.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2127 - -40469.\nAnswer: 40468.7873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 1. Let r = 3 - 2. Let i be z(r). Factor -3*c**i - 3*c + 5*c - 5*c**2 + 4*c**5 + 5*c**4 - 3*c.\nAnswer: c*(c - 1)*(c + 1)**2*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n**2 - 1486*n - 462. Determine y(-114).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1686*a - 1069*a + 3730*a + 2028*a + 650250 for a.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-13)\/(a*a**0)**(-21) assuming a is positive.\nAnswer: a**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1488692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6983 = -25*f - 2410 + 2452. What is the remainder when f is divided by 102?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/(1\/(-12)) + 6. Let k be (-139)\/10 + 2 + (-16)\/r. Is k < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 45*x**3 + x**2 + 2*x + 1. Determine w(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*r - 61*r + 10. Determine q so that 0 - 21\/2*q**5 + 0*q - 3*q**4 + 0*q**3 + 0*q**r = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 517584*q + 3105648.\nAnswer: -4*(q - 6)*(q + 129402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.04, 0.02, -7, -2\/83, -0.3, -19, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**4\/6 - 5*v**3\/3 + 198*v**2. What is h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154 divided by 2?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2324.1 + -2326.1. Which is the nearest to 1? (a) 0.37 (b) k (c) -0.3 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*a - 8. Solve -2*o = 3*x + 2 + 3, 5*o = a*x + 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4543 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 18*m = -10*m + 40 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136645429 to the power of 1\/2, to the nearest integer?\nAnswer: 11690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1651 divide 842217832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Suppose -c - 1 = -s*c. Let h = -4 - 1. What is the closest to c in h, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -121772*z**2. Let h(b) = -3*b. What is q(h(x))?\nAnswer: -1095948*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -10. Let m = y + -49. Calculate the remainder when 114 is divided by 279\/9 - (2 + m).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1225810 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 * 38.4067.\nAnswer: -107.53876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*x - 14*a + 157 = -8*a - 3*a, 5*x + 2*a - 36 = 3*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 1\/2 (b) -0.074 (c) -3\/10 (d) 1\/3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 245949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1036.193 + 10.207. Round j to the nearest 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 478, 458, 428, 388?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j - 855*j**2 + 17*j + 7*j - 35*j in the form g + n*j + i*j**2 and give i.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 9:53 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 330 = -318. What is the remainder when 5782 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d**3 - 2*d**2 + 7*d. Let i(m) = 36*m**3 + 7*m**2 - 23*m. What is -2*i(b) - 7*k(b)?\nAnswer: 12*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 1. Let z be a(1). Suppose -f + 3*g + 13 = -0*g, 0 = -z*f - 4*g. Calculate the lowest common multiple of (-32)\/(-6)*60\/40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65332 - 12784 = -631*t - 275*t for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 - (-5 - 0\/1). Let u(p) = -11*p - 35. Let g be u(l). Let i be 330\/9 + (-6)\/g. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s + 5. Let p(c) = -6*c**3 - 14*c**2 + 31*c - 11. Let i(w) = -5*w**3 - 14*w**2 + 30*w - 10. Let o(x) = 7*i(x) - 6*p(x). Let d be o(12). Give l(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*(-24)\/(-9)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(363) + -2)**2.\nAnswer: -132*sqrt(3) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 s when three letters picked without replacement from wgygws?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-6 + 4) - 3. Let q(i) = -9*i**3 - 23*i**2 - 23*i + 12. Let x(z) = -4*z**3 - 11*z**2 - 11*z + 6. Let t(o) = h*q(o) + 7*x(o). Calculate t(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/1617 + 151381\/32340. What is the common denominator of 109\/2684 and q?\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 2\/7 (b) -0.5 (c) 0.3 (d) 1.539 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 23. Let h(c) = 12*c + 73. What is 7*d(x) + 2*h(x)?\nAnswer: -4*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*y**5\/7 - 3426*y**4\/7 + 5190*y**3\/7 - 1488*y**2\/7 + 120*y\/7 = 0.\nAnswer: -10, 0, 1\/6, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eljejlljljaleelajl. What is prob of picking 1 e and 1 l?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 182, -3\/2, 111\/2, -0.05, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 0.5, 2\/7, 2\/11, -1\/248?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 15) in base 3?\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.06726693?\nAnswer: -0.06726693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1783 divide 16166461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 4*x**2 - 5*x**2)*(0*x + 3*x - x) - 567*x + 284*x - 5304 + 285*x + 2*x**2 + 2*x**3 as u*x**2 + j + o*x**3 + s*x and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/((-57)\/(-2166))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*a - 3*a**4 + 560*a - 4*a**4 - 31*a**2 + 2*a**3 - 27*a**2 + 59*a**2 as s*a**2 + n*a**3 + u*a**4 + t + i*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -43.32940868 and -57.\nAnswer: -100.32940868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3120 + -1223031444?\nAnswer: -1223023324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488346 is divided by 326?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 55 + 35)*(2*g - 3 + 3).\nAnswer: -154*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4359\/18 + 2\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72\/5 of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.409993439 + 79.41. What is j rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 36534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 5*l**2 - 2. Let q(p) = 10*p - 1. Let i be q(2). Suppose 15 = 5*v + 5. Suppose -2*b - 25 = -5*f, i = -6*b + b - v*f. Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Suppose -2*f = 2*z - k + 15, 3*z - 4 = 2*f. Let j = z - -5. What is the lowest common multiple of j and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**1\/v)**(-33)\/((v\/(v*v\/v**(2\/3)*v))\/v)**(1\/10) assuming v is positive.\nAnswer: v**(-1973\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/10 - 5*w**4\/12 + w**3 - 3*w**2\/2 - 18*w. Calculate the remainder when p(2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 0*r + 3*r + (25*r - 39*r - 17*r)*(3 - 4 + 3).\nAnswer: -61*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let z be v(2). Suppose s - z*s = -7. Let t = -41 - -46. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c*c**(7\/2)*c)\/(c*c*c*c*c**(1\/4)*c)**31)**(-7\/6) assuming c is positive.\nAnswer: c**(7357\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose 11 + 7 = 9*f. Suppose -2*r - 35 = -5*c + 3*r, 4 = 4*c + f*r. Calculate the smallest common multiple of c and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 3*p + 4. Let n(h) = 13*h**3 - 17*h + 17. Let f(t) = -3*t**3 + 4*t - 4. Let k(l) = -9*f(l) - 2*n(l). Calculate 7*k(m) - 4*u(m).\nAnswer: -m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2842010, -5683849, -8525688, -11367527, -14209366, -17051205?\nAnswer: -19893044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123930 and 220?\nAnswer: 2726460","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**5\/5 + 92*s**4\/5 + 156*s**3\/5 - 268*s**2\/5 - 64*s + 336\/5 = 0.\nAnswer: -21, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:56 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/25))\/f**(-21))\/((f*f*f*f\/(f*f*f*f*f\/f**22*f)*f)\/(f**(-2\/3)*f)))**(-25\/4) assuming f is positive.\nAnswer: f**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:58 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c. Let p(y) be the first derivative of -y**4 + 7*y**2\/2 + 4. Let n(i) = -p(i) - s(i). What is the second derivative of n(v) wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424764 (base 8) in base 15?\nAnswer: 187a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 39, 49, 63, 81, 103?\n\"Answer: 2*x**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -2, -5 in increasing order.\nAnswer: -5, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -34 - (-328 - (-190 + -122))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m - 5*x = -59*m + 27730, -3*m = -x - 16626. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 89\/19 (b) 174 (c) -1\/3 (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.071\nAnswer: -0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) 22\/29 (c) -3\/4 (d) -0.5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445060657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 84 = 2*o - 86, -22 = -o + 3*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1572254 or 1572251?\nAnswer: 1572254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(245) + (sqrt(245) - -4*sqrt(245))).\nAnswer: sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c + 1. What is d(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -81 (b) -455 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -b + 14, b = -0*b - 2*y + 21. What is the remainder when 187 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 518133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -255303?\nAnswer: 255311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 4*n + 1. Let g be h(-4). Let t be (-3128)\/(-32) + g\/4. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2)*16\/(-2). Let m(z) = -z**3 + 11*z**2 - 10*z + 1. Is m(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 779?\nAnswer: -75f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 + -10.7. Let z = 1420\/11 - 129. Put z, l, 0.3 in descending order.\nAnswer: 0.3, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65760*p**2*w**2 + p**2 + 14*p*w**2 - 9*p*w - 1907*w**2 wrt p?\nAnswer: -131520*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6124 (base 7) in base 2?\nAnswer: -100001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -689 - -730. Find the third derivative of q*p**2 - 538*p**4 + 2*p + 538*p**4 - 166*p**5 wrt p.\nAnswer: -9960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 11*n**2 - 2*n + 16. Let u be o(11). Let k(l) = -l**3 - 6*l**2 - 4*l - 6. What is the tens digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -45.7. Let m = -4.236 + -0.064. Let r = c - m. Sort -5, r, 0.4 in decreasing order.\nAnswer: r, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041119932 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(63)\/(-1*sqrt(9)) + -4 + 3.\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-6)*56\/(-14). Suppose -d*j - 567 = -35*j. Calculate the remainder when 692 is divided by j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93750\/259 or -361?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672078 is divided by 35219.\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6244?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*12\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**30*d)\/d)\/(d*d**31*d))\/((d\/d**(2\/7))\/(d\/(d**(-17)*d))))**(-40) assuming d is positive.\nAnswer: d**(-4000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.839689cm?\nAnswer: 28396890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10746 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 219 = -171 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5300? (a) 0.09 (b) 0.1 (c) -7691\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0114 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*h - 5*k, 2*k = 2*h + k + 17. Let j(f) = -f**3 - 7*f**2 - 7*f - 4. Let b be j(h). Solve -2*g + b = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407 is divided by 1468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5115 + -5117. Which is the biggest value? (a) m (b) 2 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14*s - 44. Let f be o(-10). Suppose 84*t = 81*t + f. Let m = t + -31. Solve 0 = -5*p + m + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 2}. What is prob of picking 2 w and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (6 + (3 - 5) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -724 * 122.67.\nAnswer: -88813.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.03 (b) 2\/283 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -706 + 4?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*h - 18 = i, -4*i + 27 = h. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47915, 397124, 1344975, 3190790, 6233891, 10773600, 17109239?\n\"Answer: 49887*s**3 - s**2 + 3*s - 1974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 424247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by -69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.9, 0, -229 in decreasing order.\nAnswer: 7.9, 0, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 354832481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 104*z**2 + 259*z + 2959. Calculate o(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2001 + 1130. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 10388*l - 17760349. What is v(-2158)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 + 1.7. Let k = 0.78 + y. Let f = 19 + -59\/3. Which is the smallest value? (a) k (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 48*w**3 + 6*w + 151*w**3.\nAnswer: 103*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26915908, -53831811, -80747710, -107663605, -134579496, -161495383, -188411266?\n\"Answer: 2*k**2 - 26915909*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8852504161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*6\/(-24) + 5\/(-4). Let j be (57\/(-18) - -1) + 2. Let r = -0.1 + 0.3. Which is the nearest to w? (a) r (b) j (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 4. Let s(f) = -3*f - 10. Let l(r) = 5*h(r) - 2*s(r). Let z(n) = -16*n. Let a(q) = -20*l(q) - z(q). Let i(m) = 8*m. Calculate a(i(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58, -196, -414, -712?\n\"Answer: -40*y**2 - 18*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23142*z**2 - 3909*z. Let c(p) = 11569*p**2 - 1955*p. Let x(t) = -7*c(t) + 3*d(t). Find the second derivative of x(h) wrt h.\nAnswer: -23114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*z - 17, -3*z - 5 = -3*b - 2*b. Solve 3*g - g = b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/9 - 65\/(-78)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -636 times 0.31723\nAnswer: -201.75828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 9*u**3 + 42*u**2 + 21*u - 12 = 0?\nAnswer: -4, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(4\/4)\/(-3)*(-4)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214177311 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 18*a - 15. Let s(k) = k**3 + 16*k**2 + 25*k - 59. Let j be s(-14). Determine t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1300293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aakakkkkkaaaka. What is prob of sequence aaak?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3989 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10929, -10974, -11045, -11148, -11289?\nAnswer: -11474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 6*d. Let r be z(-2). Let v(l) = -l**2 + l + 1. Let c(f) = f**2. Let u(b) = 7*c(b) + 6*v(b). Give u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + 389. Let g = n + -414.99999829. Round g to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.052 - 0.211. Let d = -0.037 + l. Let w(k) = k - 10. Let c be w(7). Sort d, c, -1\/11 in descending order.\nAnswer: -1\/11, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 35?\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1659, -8550, -20019, -36054, -56643, -81774, -111435?\nAnswer: -145614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49140623.7 rounded to the nearest 10000?\nAnswer: 49140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012679m in micrometers?\nAnswer: 12679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -2*o + 3*o. Suppose -o + 478 = 4*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*i + 15*i**3 - 285*i**4 - 5*i**5 - 455*i**2 + 1210*i**2 + 30*i**4 = 0.\nAnswer: -51, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 25*q**2 - 3*q - 83. Let x be m(-25). Does 13 divide ((-96)\/40)\/(0 + x\/4420)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1908033*v**2 + 3444695 wrt v.\nAnswer: 3816066*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164 - 10?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 20. Calculate the common denominator of 5\/14 and (-741)\/(-180) - (-2)\/f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3044563553 to the nearest integer?\nAnswer: 55178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 50 = 2*h - 5*h, -28 = 2*h - 2*f. Let w = h + 18. What is the greatest common divisor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000174558 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from mxtffxzzmxxfxztttx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 5*p**2 + 1 - 7 + 9*p. Let h be l(6). Suppose s + 3*s = h. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - r = -48, s + 12 = -2*s - 5*r. Let b = -1 - s. Suppose -b = -x - 0*x. Solve 0 = 3*p + 2*g - x, -4*g = 2*p - 7 - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n**3 + 4*n**2 + 132*n - 409. Let l be b(3). Solve -75*j = -l - 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5106.962 years to millennia.\nAnswer: 5.106962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1622406 - 2622406. Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9535656 and 50024?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (28\/((-70)\/(-5))*(-3)\/6)\/((-5)\/(-95))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (2 + -19 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -193751664 divided by 19?\nAnswer: -10197456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -55. Suppose -n*m - 4*m + 18 = 0. Let b(l) = l**2 + 7*l + 2. Let z be b(-7). Solve -15 + 6 = -m*h, -z*i + 2*h = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4494438688?\nAnswer: 2, 140451209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*w - 21*w - 14*w - 14*w - 2507 as v + x*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 804*w**5 - w + 27.\nAnswer: 16080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6400 and 782464?\nAnswer: 39123200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7.2, -0.7, 2, 2\/23, 0?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23\/20 - 3\/4. Let h = -18 + 18.1. Which is the nearest to h? (a) -4 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9*b - 7*b = 10, 0 = -5*v - 3*b + 15. Solve -4*y - 23 = -6*y + 3*h, v = 5*y - 5*h - 45 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/4 + h**3 + h**2 + 3*h - 1. Let w be u(-2). Suppose -2*k - l = 4*l - 19, -9 = -w*l. Solve v = -k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2712608 to 3 dps.\nAnswer: -2.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/((b\/b**(-2\/9))\/b*b)*(b**(-6))**(8\/5) assuming b is positive.\nAnswer: b**(-622\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-279) + 8\/(-36). Solve 11*o + 10 + 12 = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278184846 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(72) + 2 - sqrt(72) - sqrt(72))*-1 - -4*sqrt(72)*-1)**2 + 4.\nAnswer: 72*sqrt(2) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 1006 - 1005 + o**3 + o**2 + 6*o to the form b + r*o + t*o**2 + k*o**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 12 = -4*h - 0*l, h - 5*l - 22 = 0. Let w = 582\/5 - 116. Let k = 438 - 439. Which is the closest to k? (a) h (b) w (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -65*u**3 + 531*u**2 - 27*u. Let b(w) = 13*w**3 - 105*w**2 + 5*w. Give -11*b(t) - 2*n(t).\nAnswer: -13*t**3 + 93*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.2 - 10.8. Let h = g + -10. Let z = h - -61.000039. Round z to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 k, and 1 a when four letters picked without replacement from akkpkpkaapkafaj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*h + 12, 2*d + 3*h + 12 = 6*h. Suppose d*f - 4 = -2*f. Let n be f*(114\/39 - 3). Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -20, -13, 12, 61, 140, 255, 412?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -9*w + 8*w + 7, 0 = -4*w - 2*b + 34. What is the second derivative of 20*r + 20*r**2 + 17*r - 5*r + w*r wrt r?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*n + 0 = -392*n + 5. Suppose 0 = 4*j - 1 - 11. Sort n, j, -2 in increasing order.\nAnswer: -2, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q**2 - 90*q - 21. Let w(h) = -h**2 - 9*h - 2. Let i(l) = -2*t(l) + 21*w(l). Factor i(f).\nAnswer: -3*f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**2 + 40. Let w be s(0). Calculate the highest common divisor of 45 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28402560 plus 852008?\nAnswer: 29254568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 10956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.2 + 3.8. Let h = 31.36 - m. Let t = h + 13. What is t rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-2)\/6)\/(-1))\/((-37)\/(-3219)). What is the nearest to 1 in -3\/7, -5\/2, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/10*(-1904)\/(-5236).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = -k. Suppose -66 = 175*r - 208*r. Solve 3 = r*x - k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*4301.\nAnswer: 215.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 17 + -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 460 - 1864. What are the prime factors of ((-3)\/4)\/(13\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 24, -5 in ascending order.\nAnswer: -5, 24, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c - 4*c - 4*c)*(0 - 1 + 3)*(-2 - 1 + 2) to the form m + o*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5484 rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*q + 658*q - 40 = -8*c, 3*c + 20 = 7*c + q - 6*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*(-4 + (-2045)\/10). Let t = l + 41. What is the highest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 22244 = 46511. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 19*m + 7. What are the prime factors of i(7)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85811 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -28. Suppose 0*w = 2*n - 5*w + 213, -a*n - 323 = -4*w. Let c = -76 - n. What is the highest common divisor of 231 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2) + -12 + 20. Suppose -4*r - 5*p = -13, 3*p - j = -5*r + 1. Suppose -5*t = -2*t. Solve r*y = -0*a - a - 5, -5*a - 2*y - 1 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -8025?\nAnswer: -80.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 + 2*t**2 - 6. Let z be (8\/((-64)\/(-90)))\/((-1)\/4). Let h be 1 + 5 + z\/15. What are the prime factors of a(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.31 (b) 8 (c) 2\/9 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.424 * 3.\nAnswer: -1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3802*m - 3344. Calculate v(-1).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:54 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1)*((-144)\/54)\/2. Solve 3*m + 37 = -5*v, -p*v - 32 = -m + 4*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13849 = 31*z + 91529 + 316. Round z to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 3*r**2\/2 + 2. Let a(h) be the first derivative of -2*h**3\/3 - 7. Determine a(k(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Is k - (3 + -35) - 2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (sqrt(245) + sqrt(245) + -2 + sqrt(245)*1 - (sqrt(605) + sqrt(605) + 3 + 1))))**2.\nAnswer: 16*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**3 + 15*p**2 - 8*p + 13. Let r(u) = -15*u**3 - 31*u**2 + 16*u - 26. Let l(h) = -6*r(h) - 13*y(h). Let g be l(-10). Is 9 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 3 (c) -174 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -3. Let n be 2\/y + (-360)\/(-14). Let c = 63 - n. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-45)\/(-1))*(-16)\/2.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.16 + 8.01. Which is the biggest value? (a) -0.07 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 8 = 8. Suppose -6*p - 2*x + 10 = -4*p, 0 = -w*p + 2*x - 2. What is the closest to 1 in 0.5, 0.1, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:11 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + x - 5)*(42 + 93 + 130) in the form i*x + o and give i.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - a - 1. Suppose -3 - 21 = -12*u. Suppose u*l = 6*l - l. Let y(g) = l*g + 65*g**2 + 5*g - 4*g + 2 - 61*g**2. Determine -5*f(b) - 3*y(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n**4 - 2*n)*(37 - 79 - 56)*(-1 - 10 + 4 - 2 + (-1 - 2 + 1)*(-1 + 2 + 0)).\nAnswer: 2156*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 280 = 17*x. Let w = 69 - x. Put -2, 0, w, -4 in increasing order.\nAnswer: -4, -2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 2. Let s(f) = f. Let m(x) = d(x) - 6*s(x). Let r be m(8). What is the highest common factor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**6 + 482*d**4*p - 15*d**2*p - d**2 + 59*p wrt d?\nAnswer: 1200*d**3 + 11568*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 2054721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2730 and 674814?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 25*v + 109. What is o(7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 + 27*l**3 + 5*l**3 + 3*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let f(n) = -n**3 + 4*n**2 + 6*n - 4. Let v be f(5). Let m be v\/w*(1 + -1). Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/9*4\/2. Let w(x) be the first derivative of x**2 + 41*x - 29. Let f be w(-23). Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/12*a**4 + a + 1\/60*a**5 + 0*a**2 + 0 + 1\/9*a**3. What is d in m(d) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from mlhlh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.078, 5 in descending order.\nAnswer: 5, 0.078, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.282682 to 1 decimal place.\nAnswer: -89.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -41*w + 1. Let b(h) = -19*h - 23. Calculate b(t(q)).\nAnswer: 779*q - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**3 + 1742934*x**2 - 1742934*x**2.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199256 by 199256.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.095 + 0.295. Let b = 0.2 - 0.5. Let i = n + b. What is i rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - 38 - (-12 - -25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:44 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -94, -100, -108, -118, -130?\n\"Answer: -q**2 - q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286580 and 87220.\nAnswer: 2006060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -1, 25, 65, 119, 187?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165039 is divided by 5457.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12378043?\nAnswer: 12378043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 3, v: 2, z: 3, x: 4, n: 6}. Give prob of picking 1 x, 1 j, and 1 z.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzwzzwwz. What is prob of sequence zw?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1529\/8 + 120863\/632. Find the common denominator of j and -111\/10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*0.05523.\nAnswer: -0.104937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -7 + 11 + -5 - -13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(5*(2*sqrt(700) - sqrt(700)) + sqrt(700) + (sqrt(700) - (sqrt(700) - (0 + 2*sqrt(700)))))*2 + 0)*4 + -2.\nAnswer: -3200*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11 - 12 - d + 22. Let j be f(-4). Suppose 15 = 3*k, -2*g + 2*k = -j*k - 585. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132221772 + 4?\nAnswer: 132221776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -18. Let q be (-21)\/14*y*-1. Suppose 0 = 4*o - q*o + 44. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 32?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 - 8 - 30 - -121.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81001232?\nAnswer: 2, 13, 151, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37*-4*(-23)\/((-828)\/(-18)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6649 and 33245.\nAnswer: 33245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 5*s**2 - 35. Calculate p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2319 + 2324. What is the biggest value in -1, 0.8, -1\/21, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 18*i + 12. What is a(-15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -466755\/106 less than or equal to -4404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 3*s - 3*s**4 - 106 + 108 + 0*s in the form m*s**4 + d*s**3 + b*s**2 + k*s + j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 985\/6 + -164. Which is smaller: x or 8\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192801, -192929, -193031, -193095, -193109, -193061?\nAnswer: -192939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126116 (base 7) to base 8.\nAnswer: -56261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678664358.\nAnswer: 2, 23, 14753573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1176)\/504*(-39)\/(-7) + 278\/20.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, q: 1, m: 1, i: 1, f: 6}. Give prob of sequence xfiq.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*w - 50 = 58*w. Solve 4*j + 10 = -w*i, 2*j - 3*j - 6 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, i: 1, r: 4}. What is prob of picking 1 s and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 1, 16\/5, -5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.077 - 18. Let h = g - 7.177. Let a = 7 + h. Is -0.1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwhwvhhjhyhhjlvwyj. Give prob of sequence jvl.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 232 = -0*a. Let x = -78 - a. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 231550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 6708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/28)\/((-6)\/8). Let s = -427.505 - -0.505. Let w = -426 - s. Which is the nearest to w? (a) 2 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -59. Suppose -6*b = -11*b, m*b = i - 100. Calculate the remainder when i is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:39 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttuttttttt. Give prob of picking 2 t and 1 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*k - 40 = 2*n, 15*n - 33814 = 5*k - 33834 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m**2 + 71*m + 2. Give g(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14 + 20 - 4 - 4*u. Let n be i(6). Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -40, -105, -196, -313, -456, -625?\n\"Answer: -13*c**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 57 = -3*x. Suppose x*f + 4 = 20*f. Solve 0 = f*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j - 0*j, 2*z - j = 14. Suppose 5*w - 4 = 9*w + 2*u, z*u = 2*w - 10. Determine l so that -1\/4*l + w - 5\/4*l**2 - 3\/4*l**4 - 7\/4*l**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 23. Let q be b(25). Let x(f) = 134 - 71 - 63 - 28*f**q. Let i(v) = 2*v**2. What is x(i(w))?\nAnswer: -112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 3433*r**4 - 108692*r**3 + 475996*r**2 - 489744*r = 0. Calculate r.\nAnswer: -3401, -36, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 1 = 2*y. Which is the second smallest value? (a) -1\/3 (b) -3\/5 (c) -5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:46 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 469 = -184. Let f be (-4 - -3) + 0 + 9. Let t = f + p. Calculate the highest common factor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssppsss. Give prob of sequence pps.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -0.7. Suppose 2*g = -2, -3*g = -k + 2 - 1. Let f = -0.2 + 0.4. What is the nearest to 0.1 in f, x, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v + 5. Let j be a(-5). Suppose -j*i + 52 = -48. Calculate the remainder when 57 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 891\/346, -2.\nAnswer: -34, -2, 891\/346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*t - 2883 + 8799 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -53) + -41 - (8 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 24*b + 73. Calculate d(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 12. Let g be t(8). Solve -5*a = -b - 25 + g, a - 7 = 3*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 6*q**2 - 8*q + 9. Let s be m(7). Suppose 0 = -0*z + 2*z - w, s*w = z + 6. Differentiate -4*i**z + 6*i**2 - 6*i - 3 + 6*i with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252015 is divided by 543.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -60*h + 540. Let m be g(9). Solve m = 6*v - v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 88, 304, 722, 1408, 2428, 3848?\n\"Answer: 11*q**3 + 2*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - -7 - (0 + (-8 + 24 - -20)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1614918 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117051 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -430, -556, -374, 110, 890, 1960?\n\"Answer: -t**3 + 160*t**2 - 599*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 5*y - 2. Let w be a(4). Suppose 4 = s, w*j - 4*j = 3*s - 82. Let i be -1 - (-5)\/(j\/6). Sort -4, -5, i.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.4, -18, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33399?\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -6\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6858*w**2 - 7*w - 7. Let s be t(-1). Suppose 2*f = q + 4573, 3*f + q - 2*q = s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)*o**9)\/(o**(-2\/11)*(o\/(o**2\/o)*o)\/o))**(-2) assuming o is positive.\nAnswer: o**(-944\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 n, and 1 i when four letters picked without replacement from rnrnbrtnninkr.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -80*y + 1584. Let p(w) = -57*w + 1056. Give 7*p(l) - 5*v(l).\nAnswer: l - 528","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 2 + 6)*(-2*b**2 - b**2 + b**2).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25734, -25589, -25348, -25011, -24578?\nAnswer: -24049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f - 4. Let y(m) = -m**2 + 5*m + 6. Let g be y(6). Let w be a(g). Let k = 7 - w. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + s**4 + 0*s**2 + (-11*s - 28*s - 36*s)*(8*s**3 + 12*s**3 - 15*s**3).\nAnswer: -374*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, x: 1, o: 4, s: 3}. Give prob of picking 2 p.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -20 + 57 - 18 + 4*i - 18. What is l(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by -2*(196\/(-7))\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -41*p + 2. Let w(a) = -2*a**2. Let h(g) = g**2. Let j(s) = 7*h(s) + 4*w(s). What is v(j(l))?\nAnswer: 41*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29230 divided by 2.\nAnswer: 14615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 - 29*u + 23. Let m(z) = 5*z**2 - 28*z + 22. Let b(y) = -6*g(y) + 7*m(y). Let i be b(-22). Suppose -6*l + i = -50. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) -6 (b) -1 (c) 0.174 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 + 5 = 0. Suppose -z*h + l = -294, 0*h - 5*h + 293 = -2*l. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 8 = 0, -13*y - 12 = 2*r - 9*r - 18*y - 34 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 18*c**2 + 18*c + 39. Determine u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 37 - 10 - -9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = 17 - 827. Let n(c) be the first derivative of 2\/5*c**5 + 54*c - s*c**2 + 8 + 24*c**3 - 5*c**4. Factor n(h).\nAnswer: 2*(h - 3)**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (6 + (-394 - -381 - (-17 - -1))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 147. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:43 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u - 20*u + 23*u + 12*u - 12*u + 13*u.\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 11*m**2 - 11*m - 13. Suppose 0 = 8*s - 72 - 0. What is the units digit of b(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/5040 - 2*n**5\/15 - 15*n**2. Let v(g) be the third derivative of i(g). Let x(a) = 2*a - 1. What is -v(t) - x(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 676020 and 1911832?\nAnswer: 544872120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/3)\/(c*c**(-4\/9)*c) assuming c is positive.\nAnswer: c**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-49))\/(-21 - -12)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 + d + 2. Let p be o(2). Suppose 3*u - p = u. Suppose -2*n = -u - 2. Which is the nearest to -2\/5? (a) n (b) -2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 43*m\/2 + 44.\nAnswer: -(m - 88)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 24 - 14 - r**2 to a*r**2 + g + i*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w. Let d(z) = -3*z. Give d(u(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t, b = -t - 451 + 458. Solve -2*z + b*g = 21 - 36, -3*z + 2*g + 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-295*o + 97 + 919 - 239*o + 531*o).\nAnswer: 3*o - 1016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1332 + -1331.9. Which is the fifth biggest value? (a) 0.5 (b) -0.2 (c) 4 (d) i (e) -0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 3*d**5 + 3*d**5 + (115*d**3 + 212*d**3 + 218*d**3)*(-d**2 + 2*d**2 + 2*d**2) - 2*d**5 + 0*d + 0*d.\nAnswer: 1635*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/30*(-32)\/64.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346351 a multiple of 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - v + 80. Let c be d(0). Is c\/6*(-957)\/(-116) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = 0, -4*p + 4*k + 412 = -p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666382853 rounded to the nearest one hundred thousand?\nAnswer: -666400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - 2) + -4 + -3 + 6 - 26.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461 + 824. Calculate the lowest common multiple of 21 and q.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 22*g - 21*g - 8 = 0, -5*v + 2*g - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from ifqlzflffqiqfflilljl?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 11*o - 9. Suppose q - 4*n - n - 10 = 0, n = -4*q + 40. Calculate p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260*l*n**2 + 35*l*n + 5*l - 601557*n**2 + 4989*n - 2 wrt n?\nAnswer: -520*l - 1203114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**5\/20 + v**4\/12 + 2*v**3\/3 - 2*v**2. Suppose -7*n - 21 = -0*n. What are the prime factors of w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, 1 p, and 1 m when four letters picked without replacement from {j: 1, e: 1, m: 1, a: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 130237537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*4\/(-6) + 2. Let j(b) = 3*b + 1794. Let y(w) = -2*w - 998. Let a(m) = 5*j(m) + 9*y(m). Determine a(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 368 + 467 + r + 531 - 5*r**2 - 6*r**3 + 1266 - 3*r**4 wrt r.\nAnswer: -36*r**2 - 36*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79145, -158295, -237447, -316601, -395757?\nAnswer: -474915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*q + 45*q + 96. Solve -3*y + 29 = a - 6*a, 4*y - 5*a - q = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/11, 2, 7, -2 in ascending order.\nAnswer: -2, 10\/11, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -63*l**3 - 20*l**2 - 4*l - 7. Let p(g) = 32*g**3 + 11*g**2 + 2*g + 4. Calculate 4*o(i) + 7*p(i).\nAnswer: -28*i**3 - 3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66646657 and 2.7566.\nAnswer: -66646654.2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.256141 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)\/(1\/1). Let h be (a\/2)\/(3\/246). Let l = -26 - h. Solve t = 4*t - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from ppppxppxpppppxpppppp?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 64 - 32. Let b be (-1 - -2)\/((-4)\/t). What is the second derivative of 6*g + 4*g**2 - 3*g**2 - b*g**2 wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(k**2 - k**2 + 2*k**3) + k**3 - 2 + 2 to r*k**3 + h*k**2 + o*k + n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 - 29*v**2 + 16*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*c*t**4 + c*t**3 + 11*c*t**2 + c*t + 3*t**2 + t - 151 wrt t?\nAnswer: 396*c*t**2 + 6*c*t + 22*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17475, 17473, 17471, 17469, 17467, 17465?\n\"Answer: -2*k + 17477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*b = -808 + 88. Solve -3*m - 4*k + 20 = 10, b*m + 24 = 5*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -601\/4 + 149. Suppose 4*f - 7*f = -144. Let z be (-5 - -8) + f\/(-14). Sort x, z, 4 in decreasing order.\nAnswer: 4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Let w(n) = -2*n + n + 56*n**2 - 9*n**b. Let a be w(-2). Round a to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -13 + (88 - -4) + (-2 - (-1 - -1)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15107 - 702 + 3916 - 5489)*(2*w - w + 3*w) to s*w + q and give s.\nAnswer: 51328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -72. Which is the third smallest value? (a) f (b) -4 (c) -0.7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -6955 + 1837. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and 17.\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*a - 166*a + 231 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**3\/3 + k**2 - k - 437. Suppose -5*d - 7 = 3*p + 10, 5*p - 5*d = 25. Let b(x) = -x**2 - x + 1. Calculate p*g(i) + b(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 275513807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4410 - -4408.6. What is the closest to q in -2.1, 4, 5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3314 + -3319. Let u = -16 - -10. Let c = 8 + u. What is the nearest to -1 in 5, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 199, 1, 4\/3, -2\/7 in decreasing order.\nAnswer: 199, 4\/3, 1, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 - 2*c**2 - 3*c**2 + (1 - c - 1)*(5*c - 5*c + 4*c) in the form j + r*c**2 + b*c and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1134 divide 3532946382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -5790\/1489?\nAnswer: -5790\/1489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f**(-9)*(((f*f\/f**(-1))\/f)\/f*f)**(-35) assuming f is positive.\nAnswer: f**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 233000500 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)\/m)**(2\/27)*(m*m**(1\/4)\/m)**5*(m\/(m\/(m**(6\/5)*m))*m**(2\/7))\/(m\/(m*(m\/m**(-1))\/m)*m)**(-1\/7) assuming m is positive.\nAnswer: m**(13841\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + (-4 + 3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(1\/14)\/(w*w**(-1\/4)*w)**46 assuming w is positive.\nAnswer: w**(-4509\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -74 (b) -13 (c) 1\/1902\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(135\/(-162))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2277477165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2430 divide 102985830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 + (-222)\/(-27). Let d be 2 + -2 - -4 - 1. Solve 0 = 4*i - 5*v + x, -4*i - d = 2*v + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6*m - 57. Let c = 19 - m. Suppose -4*r + 10 + 38 = c. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 87. Let t be (1 - (-39)\/(-126)) + (-3)\/g. Do 0 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327 + 457. Let h = 358 + -237. Let s = n - h. What is the closest to 2 in 3\/5, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*3\/84*-1)\/(16\/(-280))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1))\/(((-10)\/(-100))\/(2\/(-30))*6)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 5. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 2. Suppose -3*u + 4*c = -32, 0 = 4*u - 0*u + c - 11. Suppose u*m + 30 = 5*m. Calculate the remainder when m is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2\/7))**(-2\/9))**(-2\/19))**(-41) assuming t is positive.\nAnswer: t**(-164\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 31. Let s be t(10). Let l = s - -273. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/3)\/q*q\/(q\/(q*(q**(-13\/5)*q)\/q)))\/(q**(-9)\/q)**(-23) assuming q is positive.\nAnswer: q**(-3524\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.4, 1\/5, -2, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 0, -9, -1 in decreasing order.\nAnswer: 8, 5, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 508 - 1?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-36))**(-1\/2) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 28 = 18*i + t, -5*i = 5*t - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/8 - 733*h**2\/8 - 7552*h + 30943\/2.\nAnswer: -(h - 2)*(h + 97)*(h + 638)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50626305 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 282.02 + -282. Suppose -7*v = -8*v. Let o be (-2)\/8*-2*v\/30. What is the biggest value in r, o, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10036 divided by 2?\nAnswer: -5018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197847179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 4. Let i be s(5). Let l = 45\/4 - 11. What is the closest to 1 in l, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71.219 + 0.219. Let n = -70 - y. Which is the closest to n? (a) -5 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22592527411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -22. What is the units digit of 167\/1 - (a + 0 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*g + 18061 = -5879 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 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: List the prime factors of 13772.\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-40)*3\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*r, 2*r = g - 4. Solve -4*w + 3*y - 28 = 0, -3*w - 2 = g*y - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**3 + 6*y**2 - 6*y - 3. Let w(h) = h**4 + h**2 + h + 1. Suppose -2*a + 4*z = -7*a + 11, -3*z = -5*a + 18. Let i(n) = a*w(n) + v(n). Factor i(c).\nAnswer: 3*c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*-4*1.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3614014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054843349?\nAnswer: 3, 59, 2251, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107 and 643.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683804 and 1210.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 - 4*u**3 + 5*u**3)*(-106 + 106 - 12*u).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(((j*j\/j**(-12))\/j)\/j)))**50*(j*j**(2\/7))\/(j*(j\/(j\/(j*j**(-3))))\/j*j) assuming j is positive.\nAnswer: j**(4216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**2 - 4*t + 4. Let g(u) = -7*u**2 - 5*u + 5. Calculate 3*g(h) - 4*l(h).\nAnswer: 3*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -4, -5.6 in decreasing order.\nAnswer: -0.04, -4, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x - 12. Let g(l) = 6*l - 7. Let d(s) = 3*c(s) - 5*g(s). Let z(w) = -1 + 36*w + 2 - 35*w. What is d(i) - z(i)?\nAnswer: 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-2))\/(6\/(-36)*-9). Let c be 2\/p + -81*7\/14. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 6*t + 10. Let x(c) = -3*c**2 + 5*c - 10. Let g(h) = 4*n(h) + 5*x(h). What is the units digit of g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddddededddd. Give prob of picking 1 d and 1 e.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1079 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -1 + (4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = 4*q - 22. Suppose x = -4*f + 320, f - 88 = 2*x + q. Calculate the least common multiple of 6 and f.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 3:19 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010032133 (base 4) to base 13.\nAnswer: -15c696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 1955?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from xfxjfvvxjxfxxxxx?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4680725390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303883.8812 - -303821. Let i = 0.3212 + x. Let p = i + 63. Round p to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000322687 to 6 dps.\nAnswer: 0.000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, e: 1, q: 2, j: 2}. Give prob of picking 1 q, 2 j, and 1 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -10.2. Let n = c + 1. Let a = n + 0. What is the nearest to 2 in -3, 2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 0, c + 11*o - 6*o = 20. What are the prime factors of (c\/(-2))\/((-16)\/3200)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(6\/5)\/j)\/j**(-2\/13))**(-2\/7)*(j\/(j*(j\/(j\/(j**(-2)*j)))\/j*j*j))\/(j**1*j)*j**(1\/8)\/(j\/((j\/j**1*j*j)\/j)) assuming j is positive.\nAnswer: j**(-7193\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 65 + 28 + 20 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 - 1401*h**3 - 60*h**2 + 2954*h + 6.\nAnswer: 20*h**3 - 8406*h - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 110, -3, -49, 0, 9, 4 in increasing order.\nAnswer: -49, -4, -3, 0, 4, 9, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/81)\/((-4)\/(-18)). Suppose 0 = 2*u - 8, 2*v - u - d*u = 2096. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -11*x**8\/10080 + x**7\/1260 + 7*x**5\/15 - 22*x**2. Let o(a) be the third derivative of f(a). Find s, given that o(s) = 0.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-15)\/27 + -3. What is the nearest to 0 in o, 2, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(4\/(-36)). Solve -2*h = -5*h + p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 6*w - 27. Suppose -c + w = 6. Let o be -1*c - 1118\/(-221). Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1040850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuxk when four letters picked without replacement from xkuiuululxxk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let i(l) be the third derivative of 0 + 0*l**4 - 9*l**2 - 7\/10*l**5 + 0*l**3 + 0*l. Give u(i(d)).\nAnswer: 3528*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6465776833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/9)\/((-1)\/(-9)). Suppose 3*f - 41 - 13 = -q*n, -2*f + 4*n + 66 = 0. Calculate the common denominator of f and 318\/16*1\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113414, 226701, 339988, 453275, 566562, 679849?\nAnswer: 793136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176 * 933559.\nAnswer: 164306384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**3\/3 + 18. Let g be (2 - (-1 - -1)) + 0. Let y(f) = g*f + 4*f + 2*f. What is y(p(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Suppose -10 = -2*q, -3*q + 29 = -x + 2*x. What is the remainder when l is divided by 2\/7*49\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 = -17*b + 19022. Is b a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 18 - 12*n + 11*n. Let k = -14 + 5. What is the units digit of u(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -110?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(6\/(-10) + (-4)\/(-40)). Suppose 0 = -g*c + 13 + 17. Let d(n) = -3*n**3 - n**2 + 1. Let m be d(-1). Solve m*k = k - c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 85*d**2 + 4*d - 79*d**2 + d**2 + 14*d**2 + 21*d**2 - 2*d**2 + 1 - 1 + (0 + 0 - d)*(d + 0*d - 3*d) + 0*d**2 - 4*d**2 + 5*d**2.\nAnswer: 43*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = -3*a, 3*a - 1514 = w - 1507 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.17, 4, 5, 0.04 in ascending order.\nAnswer: -0.17, 0.04, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.9 - 10.6. Round x to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*(15\/(-2))\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by -3880441\nAnswer: 202\/3880441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*(-3)\/99*2. Let n = a + 61\/66. Let u = -0.43 - -0.03. What is the closest to 2\/9 in -0.3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196 - 194. Suppose -3\/2*a**4 + 0 + 3\/2*a - 9\/2*a**r + 9\/2*a**3 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -3 (c) 6\/155 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 63175292 divided by 2\nAnswer: 31587646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + (-1)\/4. Let i = -3245 - -3240. Let p = -1525\/14 - -217\/2. What is the closest to k in i, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*s - 16, -2*s + s - 10 = -4*b. Suppose b*w + 66069 = 30*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1*2\/2. Let k(a) be the second derivative of -a**6\/360 + a**5\/120 - 5*a**4\/12 + 4*a. Let t(z) be the third derivative of k(z). What is t(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g + 16*g - 10*g)*(-1 - 2 + 4).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.525872 nanograms in grams?\nAnswer: 0.000000004525872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.52 (b) 1 (c) -4.7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 2. Let k be n(4). Let v(i) = i**3 - 10*i**2 + 8*i - 3. Let j(h) = h**2 - h + 1. Let q = 2 - 5. Let z(g) = q*j(g) - v(g). What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -22. Suppose 8 - 28 = -c*y. Solve 0 = -2*h + 4 + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 87146.87km?\nAnswer: 8714687000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 237*v. Let x(l) be the second derivative of l**3\/6 - 4*l + 130. Give x(y(f)).\nAnswer: 237*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n + 587. Determine v(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 466387 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7342788, -14685558, -22028328?\n\"Answer: -7342770*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.310685 months in decades?\nAnswer: 0.135922375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8490116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 8:17 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 7*n**2 - 7*n + 12. Let k(v) = 2*v**3 - 6*v**2 + 7*v - 11. Let f(h) = 7*k(h) + 6*t(h). What are the prime factors of f(3)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10 + 4*s + 3*s**2 - 5 + 5*s**2 - 21*s**3. Suppose 0 = 6*r - r - 5. Let n(q) = q**3 - q - 1. Let w(y) = r*t(y) + 5*n(y). Determine i so that w(i) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175806 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6630 - -6601. Let u = -26 - 3. Let q = f - u. What is the closest to q in 1\/6, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 166*i + 136. Let d be c(5). Let v = -967 + d. Sort 127, v, 3 in descending order.\nAnswer: 127, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -2, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byfdfffykfbyydfb. What is prob of picking 1 b and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 - 146086010*k - 10670561158860050.\nAnswer: -(k + 146086010)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 70, 81, 114, 181, 294, 465, 706, 1029?\n\"Answer: 2*l**3 - l**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31529403 and -968?\nAnswer: 31528435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 13 - 11 + 3 - 3 - 1 + (0 + 4 - 2)*(4 - 3 - 3) + 3 + 3 - 4 - 3 + 5 + 0)*(3*g - 2*g + g).\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585549299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48102, -96145, -144132, -192063, -239938?\n\"Answer: 28*k**2 - 48127*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*k + 92*k - 2. Suppose 95 = -k*w + 3*w - h, 5*w + h - 493 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Suppose a + h = 5*a - 2711, 3*a = -n*h + 2062. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/7))\/x**(-12)*x**(3\/2)*x**8 assuming x is positive.\nAnswer: x**(323\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -26*y. Let d be r(-2). Let w be 16\/6 - (-8)\/(-12). Suppose -5*z + z = -w*m - d, -z = 5*m + 9. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173d4 (base 14) to base 3.\nAnswer: 2222002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 294*f**3 - 12590 + 4*f**4 + 12590 + (-2*f - 2 + 2)*(3*f**3 - 5*f**3 + 3*f**3) in the form a*f**3 + w*f**2 + z*f**4 + q + i*f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -0.005 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 + 17710*n**4 - 70895*n**3 + 88640*n**2 - 35460*n = 0 for n.\nAnswer: -3546, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281 + -9. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3\/9 + 21436*m**2\/3 = 0. Calculate m.\nAnswer: -16077, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j**6 + j**3 + 37*j**2 + 2. Let q(v) = 80*v**6 + 5*v**3 + 186*v**2 + 11. Let a(r) = 11*b(r) - 2*q(r). What is the third derivative of a(m) wrt m?\nAnswer: 1920*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 + -259.61.\nAnswer: 130.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 74. Let n = 116 + w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58041*m**2 - 400085 wrt m.\nAnswer: -116082*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -3\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0438 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3304 by -1.\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768187609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3656407 is divided by 1711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2484924.6.\nAnswer: -993969.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73341 less than -5?\nAnswer: -4.26659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1\/3)*39. Suppose s + d = 3*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 28 = -10*y. Suppose -y*b = -b. Solve -5*a + 0*a = 2*l - 5, b = 2*a + 3*l + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 25*k + 90. Let n(p) = -5*p - 54. Let h be n(-4). Is x(h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - m = -18146 + 18126, 25 = -3*u + 2*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7351578 divided by -13?\nAnswer: 565506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657504484.\nAnswer: 2, 7, 13, 1806331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -876147 (base 12) in base 15?\nAnswer: -2c5e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -0.08 (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**2. Let m(h) = -2*h**2 + 124. What is m(v(u))?\nAnswer: -392*u**4 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22142110973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -407, -365, -319, -281, -263, -277?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1529, -5, 4, 4220 in descending order.\nAnswer: 4220, 4, -5, -1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 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: Are -0.03 and 20.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*u = 5, 0 = o + u + 277 - 273 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51104 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:12 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2780 divide 25612140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*d**4 - 4 + 34*d**4 - 3*d**3 + 0 - 15*d**2 wrt d?\nAnswer: -432*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = 4. Suppose 5*d - f - t*f = 281, -2*d = f - 119. Suppose -d = -5*y + 2*m, -4*m - 5 = 11. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6293.8 + -6293.9. Let n be 14\/(-10) - 3\/(-15). Sort b, -2, n, -1\/8 in ascending order.\nAnswer: -2, n, -1\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9067530 is divided by 46500?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-21) + (-1252)\/(-12). Suppose -7*x + s = 2*d - 5*x, 0 = -4*d - 2*x + 198. Calculate the remainder when 1501 is divided by d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28171 is divided by 9387.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1218828 and 16731.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. What is the second derivative of -y*v**3 + 9*v**3 + v - 10*v + v wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(117) + sqrt(117)) - sqrt(117))\/(sqrt(90)\/sqrt(40)) + 3.\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -643 + -677. Let r = 2579 + a. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43333466 - 5?\nAnswer: 43333461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -19. Let i = 622 - 258. Suppose -i = -4*h - 4*y, -3*y = -5*h + 2*y + 485. What is the remainder when h is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -2895626585.\nAnswer: -2895626588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 7*j**2 - 3*j**2 + (3*j - 2*j + j)*(-j + 5 - 5).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*o**4 + 5*o**3*t + 3*o*t - 5*o + 3*t wrt o?\nAnswer: -300*o**2 + 30*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*k**5 + 27*k**2 + 4.\nAnswer: 13380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*42\/(-210))\/(14*7\/35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -918, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1598027*0.5.\nAnswer: -0.07990135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:43 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 5754650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 13*c**2 + 29*c + 24. Let x be h(15). Suppose 4*i - 5*v = 620, 0 = 11*i - x*i - 2*v - 310. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 204, 408, 612?\n\"Answer: 204*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 6. Let k be h(-5). Let l(m) = -2*m - 2. Let g(b) = -2*b - 2. Suppose 0 = 13*u + 2*u + 75. Determine k*l(v) + u*g(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -9, 2\/15, 3, -48\/11 in descending order.\nAnswer: 7, 3, 2\/15, -48\/11, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**3 - 8*u**2 - 3*u + 6. Let w be k(-4). Let y = w + -246. Is -34 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -83 + 78 - (-1 - 4). Let y(f) be the first derivative of 4 + f + i*f**2 - 1\/3*f**3. Factor y(a).\nAnswer: -(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t - 8. Let v(f) = -f - 3 + t*f - f. Suppose 2 = j - 1. Give v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14b7 (base 14) in base 7?\nAnswer: -13520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163 plus -16?\nAnswer: 5147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 5. Let l be q(-2). Let f = l + 17. Differentiate f + 27 + 11*v - 17 wrt v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 6*r + 105. Let c be r\/(-6) + 8\/(-16). Suppose -2*v + 0*v + 6 = 0. Solve -v*d + x + 0 = -14, -1 = -d + c*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 9*q + 8. Let r(o) = 9*o**2 + 17*o + 15. Let s = -2 + 6. Let v(x) = s*r(x) - 7*g(x). What is f in v(f) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o**3 + 4*o**2 + 6*o - 7. Let i be (-1752)\/248 - 8\/(-124). Let d(a) = -8*a**3 + 3*a**2 + 5*a - 6. What is i*d(t) + 6*s(t)?\nAnswer: 2*t**3 + 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*j, -3*j + 5 = -2*t - 0*t. Let a(m) = m. Let s(n) = 2 + 3*n - 3*n - n + 5*n. Give t*s(g) + 3*a(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10010000110?\nAnswer: 10010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -17*z**4\/12 - z**3\/2 + 14*z. Let p(h) be the first derivative of h**2\/2 - 176. Give p(k(o)).\nAnswer: -17*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -79. Suppose -c*w + 2*t = -24, w + 2*t = -t + 12. Calculate the highest common factor of 8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(2\/3))*h)**9*h**0*h**(-2\/39))**(-1\/16) assuming h is positive.\nAnswer: h**(-583\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 40651.\nAnswer: 7\/40651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136149.662 + 135926.661644. Let b = r - -223. Round b to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -527769 (base 10) to base 3.\nAnswer: -222210222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33535*j**4 - 22*j**3*m + 26*j**3 - 128*j**2*m + 6*j**2 - 25*j*m - 24*j - 3*m wrt j?\nAnswer: 804840*j - 132*m + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 2*l**2 + 0*l**2)*(-6 + 7*l**3 + 6) - 5*l**5 - 134*l**3 + 134*l**3.\nAnswer: -19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 565079 (base 10) to base 7\nAnswer: 4542314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -123. Let u(c) = -5*c + 5*c - c**d. Let w(h) = -5*h + 4. Let k(g) = -11*g + 9. Let o(n) = -4*k(n) + 9*w(n). Give u(o(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = z + 1, 2*z - 7757*y - 23 = -7754*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*l - 38 = 0, -2*n - 4*l - l = -22. Suppose 0 = -6*t + 2*t + n. Suppose t + 1 = j. Solve -13 = j*x + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, 7, -1117 in ascending order.\nAnswer: -1117, -5, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + t**3)*(0*t**2 + 4*t**2 + 4*t**2) - 3*t**4 + 3*t**4 + 2*t**5 + (-2*t**3 + 1 - 1)*(-3*t + 3*t - 2*t**2) - 3*t**5 + 3*t**5 - 2*t**5.\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 46*n**2 + 2*n + 100. Suppose 4 = 3*m + 4*b, 0*m = -5*m - 4*b + 20. Calculate the smallest common multiple of m and w(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5757, -15752, -32405, -55716, -85685, -122312, -165597?\n\"Answer: -3329*h**2 - 8*h - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 2, o: 2}. Give prob of sequence hm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37164, -37406, -37810, -38376, -39104?\n\"Answer: -81*y**2 + y - 37084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**3 - 332*o**2 + 2*o**3 - 1 + 4*o - 7 + 337*o**2 wrt o.\nAnswer: -12*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v*v*v*v\/((v\/(v*v\/(v\/(v\/(v**(-7)\/v)))))\/v*v*v)*v*v*v*v)))\/(((v\/(v*v**4\/v*v))\/v*v*v)\/v)*v\/(v**6\/v)*v**(2\/11) assuming v is positive.\nAnswer: v**(167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = 0, -1128 = -5*u - 4*h + 65. Let k = 2135\/9 - u. What is the nearest to 0 in k, -4, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4.4. Let m = 3.3 + -2.9. What is the closest to m in -3, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 9. Give m(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 + 4*m)*(3*m**3 + 3*m**3 - 2*m**3) + 176 - 176 - 5*m**4 in the form f*m**4 + n*m**3 + b*m**2 + u*m + q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 15}. Give prob of picking 2 y and 1 j.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 1. Let p be t(1). Suppose -3*u + 2*u - 3 = -g, 2*g + 4*u = 18. Suppose -8 - 7 = -g*a. Solve -a*v + p*v + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 4. Let r = -13 - -9. Suppose -3*i = -5*c + 3, -2*c = 5*i - 4*c - 14. Let b(y) = 3 + 4 - 3*y - i. Calculate r*s(d) - 5*b(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(162)*-2 + (0 + -1*sqrt(2)*3)*-2)**2.\nAnswer: 20808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -7*v**4\/12 + v**3\/3 + 5*v**2. Let m be i(1). Let h be 5\/(20\/m) + 19. Solve 0 = -6*f + 2*f - h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let y(c) be the second derivative of 2*c**3\/3 + 4*c. Give q(y(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1065, -1075, -1085, -1095, -1105, -1115?\n\"Answer: -10*m - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-77) + 19\/(-44). Let k = -0.242 + -0.158. Which is the smallest value? (a) k (b) n (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 303, 574, 851, 1134, 1423, 1718, 2019?\n\"Answer: 3*s**2 + 262*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12*w + 1 - 10*w)*(-4*w**3 + 2*w - 2*w).\nAnswer: -8*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 1140?\nAnswer: 50160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*b + 13, 58*i + 10 = 56*i - 5*b. Let m(j) = -j**2 + 6. Calculate the least common multiple of m(0) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o = 98*o - 5*m + 30, o - 2*m + 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztz when four letters picked without replacement from zmttmtmtzmttmmmmzt?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(78\/(-9) + -31 + 40). Solve 5*m = 5*z + 25, r = -z - 6*m + m + 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-27 - (15 - 16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 11. Let j be -3*4\/(-12) + -4. Calculate the least common multiple of (210\/14)\/(j\/(-2)) and q(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 8400.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-40)\/3920)\/(2\/21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 399.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q + 3. Let i(c) = -58*c**2 - c. Give s(i(o)).\nAnswer: -348*o**2 - 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174783 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 228.7 and 30778458466.\nAnswer: 30778458694.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889, 2047, 3203, 4357, 5509?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4, 0*p + 4*p = g - 892002. Round p to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*w - w + 5*g, 0 = -5*g + 10. What are the prime factors of (w + 0 + 3)*37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 349516?\nAnswer: 1747580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/1443 - (-38)\/780) + (3 - 0)\/6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/10 - f**4\/3 - f**3\/3 + 5*f. Solve j(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5775*h**5 - 5*h**4 - 9*h**3 + 2595744*h**2 + 2*h?\nAnswer: 346500*h**2 - 120*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (2 - 3)) + (7 - (-24 + 4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*s - 138*s - 131*s + 388*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*b**2 + 6*b - 2*b**3 - 22*b**2)*(-2*b - b + 6*b + (-2 + 3 + 0)*(2*b - b + 0*b)).\nAnswer: -8*b**4 + 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88616 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -181, -168, -77, 98, 363, 724, 1187?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27551624305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136115 + 136115 + 2329*f)*(-1 - 5 + 4) + 0*f - f + 0*f.\nAnswer: -4659*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:46 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 108*h - 129*h - 112*h + (1 + 2 - 4)*(h - 3*h + h) in the form l*h + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(684\/16)*(-30)\/(-20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/2*8\/(-20) - 6. Let y(o) be the second derivative of -5*o**3\/6 + 17*o**2\/2 - 2*o. Let d be y(i). Solve 0 = b - l + 8, 4*b + d = -l + 6*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*u + 30 = -87*u. Suppose -i + u = i. Solve 0 = -4*a + i + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhthhmutmtt. Give prob of picking 1 t and 3 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*o**3 + 332*o**2 + 360*o + 64.\nAnswer: 4*(o + 1)*(o + 8)*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 287479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4605314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 8*t + 8190 = t. Calculate the remainder when t is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134 times 2.3?\nAnswer: -0.3082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.73*-0.24\nAnswer: -0.1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((-5 - -3 - 14) + 14 + -52)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53365?\nAnswer: 5, 13, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 971, 1096, 1229, 1376, 1543, 1736, 1961, 2224?\n\"Answer: s**3 - 2*s**2 + 124*s + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7734646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11613, 46589, 104885, 186501, 291437, 419693, 571269?\n\"Answer: 11660*y**2 - 4*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7078826 > 7078825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h = 35*h - 32 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 + 230. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q. Let x(j) = -8*j**3 - 10*j. Suppose 3 = 2*z + 5. Let d(m) = z*x(m) + 6*b(m). What is the second derivative of d(l) wrt l?\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 17 = -5*l, -5*l - 8 = 3*w + w. Let u = 4 - w. Suppose -7 - u = -4*h. Solve h*o + 8 = -4*y, 2*o + 2*o = 5*y + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + 4*t**5 + t**5 + (-14*t - 6*t**2 + 14*t)*(0*t + t**3 + 0*t) + 2*t**5 - 2*t**5 + 4*t**5.\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + (-144)\/(-14). Suppose a = 4*k - 4, -2*a = 5*k - 9 - 9. Let h be a + -1 - 1*-87. Calculate the highest common factor of d and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 0*j**3 + j**3 + (j**2 - j**2 + j**2)*(0*j + 5*j - 6*j) - 18*j**3 + 22*j**3 + 21*j**3 in the form m*j**2 + a*j + h + o*j**3 and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -5*o**4\/8 - 83*o**3\/6 - 53*o**2. Calculate the remainder when 25 is divided by s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33408\/11 or 3038?\nAnswer: 33408\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3, 4, -56 in decreasing order.\nAnswer: 4, 3, 1, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2\/5*s**3 - 2\/5*s**5 + 7\/10*s**4 - 3 + 0*s + 0*s**2 + 1\/15*s**6. Determine z, given that j(z) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 less than or equal to -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54900 and 3096.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6049 - 4024. Suppose 4*n = 8*t - 3*t + 2023, -4*n + o = -3*t. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 5*k + 7*k + 101*k**2 - 1 + 5*k**2. What is the remainder when j(-1) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 55. Let q = 1.1 - 1. What is the closest to q in o, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 - 290 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 127539681, 510158720, 1147857119, 2040634878, 3188491997, 4591428476?\n\"Answer: 127539680*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20\/19 - 61\/76. Let i be 8\/(-20)*2\/(-4). Which is the closest to -0.13? (a) 5 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 + 4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c**2 - 717*c + 13. Calculate s(-26).\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(931))*-2 + -3 - (-4*(sqrt(931) - (sqrt(931) + -1)) + 0))**2.\nAnswer: -84*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = b + 20, -2*f - 35 = 2*b + 3*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 12, 0*a + 68 = a - c. Suppose 8*h = a - 16. Calculate the greatest common divisor of h and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 30 = -7*c, -6145*q - 25 = -6140*q - 4*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/1*((-18)\/(-8))\/(-9)*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)\/(2\/6). Suppose -8 = -d*r - 5. Which is smaller: 2\/39 or r?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1092\/(-10) - 2\/20*-2. Let u = n - -327. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 11. Suppose 44 = -9*j + 179. Let s be b(j). Let n be (243\/3)\/((-1 - s)\/3). Calculate the highest common divisor of 27 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97908.3 + 97948.8601. Let w = a - 0.0601. Round w to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 298*b**2 + 5. Calculate p(149).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017077 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:17 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 44 and -11.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11230 - -5?\nAnswer: -11224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 645057608*x**5 - 2*x**4 - 75147336*x + 2 wrt x?\nAnswer: 12901152160*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750821794 is divided by 9972.\nAnswer: 9970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 2538.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 370 + -366. Sort 15\/7, p, 0.2, 3 in descending order.\nAnswer: p, 3, 15\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(63\/6)*1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 - 69 - 53 - 65.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1216 + -1216.0857. Let m = -0.0673 + o. Round m to three decimal places.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3 + 2*a**2 + 1168*a + 3432 = 0.\nAnswer: -22, -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*o - 46*o - 37*o = -279*o - 316*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -50. Let s be (-5)\/((-80)\/(-12)) - (-21)\/28. Solve -3*x = a*x + 4*y - 24, -3*y + 3 = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 = -4*t. Calculate the least common multiple of 16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 6102928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39079135.\nAnswer: 5, 541, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 - 72. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06369 - -0.07369. Which is smaller: i or -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 - 920*q + 19044 = 0 for q.\nAnswer: 23, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1143242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13968*c**4 + 48696 wrt c?\nAnswer: -55872*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -25*p + 13. Let m(i) = -10*i. Calculate m(f(l)).\nAnswer: 250*l - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 156 - 306 = 79*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*-6*14\/(-588)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blvl. Give prob of picking 1 b and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v)*(-11 - 9 + 67)*(-4*v**4 + 0*v**4 + 0*v**4).\nAnswer: 188*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 1. Let b be y(6). Suppose 3*i - 5*z = -z + b, -13 = i + 3*z. Is (-4)\/(-8)*(-2998)\/i*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35571 is divided by 7066.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*1*(-5)\/15. Suppose 0 = 3*g - q*g - 4, 0 = 3*n - 3*g + 54. Let l be (-80)\/(-182) + 4\/n. Which is the biggest value? (a) -5 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27254 + 3*c**3 - 27254.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -204, -273, -342, -411, -480?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.022, -2\/7, -2.\nAnswer: -2, -2\/7, -0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-447)\/(-3576))\/(1\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*d**5 - 2*d**3*p - 85*d**2*p + 3*d**2 - 16*d*p + 585*d wrt d.\nAnswer: 380*d**3 - 12*d*p - 170*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 3\/(0 + 1). Suppose 4*i + 4*s - 36 = 0, -3*i + 3*s = -4*i + 13. Let v(j) = -3*j**2 + 2*j**2 + 6 + 4*j - i. Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*x**2 + 17260503*x - 17260503*x.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69769 is divided by 4098?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/30 - 43*l**4\/24 + 5*l**3 - 1339*l**2 + l. Give d(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 2*m + 11*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*a - 2, 5*a - 1896*k = -1892*k + 42 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 23*n + 60. Let l be m(-22). What is the tens digit of (l\/2 - 3)*105\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*g + 60*g**3 + 68\/3*g**2 + 16\/3 = 0. What is g?\nAnswer: -1, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 229716.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**7\/4200 - 13*i**6\/1800 + 34*i**3 - 108*i**2. Let n(y) be the first derivative of p(y). Find d, given that n(d) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 4 = 3*r. Suppose 1 + r = 2*j. What is the units digit of (1\/(-3))\/(j\/(-114))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-5*2*(-2)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3.8 (b) 0.161 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tktk when four letters picked without replacement from {k: 2, t: 9, u: 8}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94599, 189231, 283863?\n\"Answer: 94632*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-133)*((-2394)\/(-6))\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20313 - 12?\nAnswer: 20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p\/(p*p*p*(p\/(p*p**(1\/7)*p))\/p)*p)))\/(p**(2\/7)\/p))\/((p\/p**(2\/5))\/(p\/((p*p**3)\/p))))\/(p**7*p*p\/p**(7\/2))**(7\/5) assuming p is positive.\nAnswer: p**(-591\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**6 - n**4 + 1. Let h(p) = 11*p**6 - 6*p**4 + p**2 + 6. Let y(o) = 6*b(o) - h(o). What is the third derivative of y(l) wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let q(c) = c**2 + 4*c. Let l be q(-3). Calculate k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-130))\/((-72)\/20)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 125. Let x(l) = -3*l**2 + 38*l - 6. What is the remainder when x(f) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 2*r - 5. Let z(l) = -3*l**2 - 3*l - 6. Let v(f) = -4*w(f) + 3*z(f). Give v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 8790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31716, -63391, -95066, -126741, -158416, -190091?\nAnswer: -221766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.1, -1\/7, -12\/7, -1\/12, -2\/7, 1.676?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, n: 6, j: 1, f: 3}. What is prob of picking 2 f and 2 n?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16 - (-44)\/80?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085*x + 57 = -1081*x + 5*i, -2*x + i = 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:44 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15861 > 13699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/65 and -8\/7?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00134004 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-344)\/12)\/((14\/10)\/(12264\/(-5840)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -32?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 102.2 (b) 3 (c) -3\/4 (d) -61 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11.4, -0.3, 1, -3\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33 + -5.01285865.\nAnswer: -4.68285865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 32\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19247*x + 18836 + 137638 = -6832*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 548728141 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/3*o**4 - 7*o - 20\/3 + 19\/3*o**2 + 7*o**3 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + ((-66)\/(-693) - 149\/21). Factor -2\/3*i**4 + 2\/3*i**k + 0*i**3 + 0*i + 0.\nAnswer: -2*i**2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 16\/((-352)\/814)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Suppose 3*i + 18 = r*c, -c = 2*c - 5*i - 18. Suppose -v - o = -22, 2*v + 4*o = 7*v - 92. Solve -v = -c*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 533509 - 226088. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14 and 1149155674188.4?\nAnswer: 1149155674174.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10495 - -15695. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62856, 62819, 62766, 62703, 62636?\n\"Answer: p**3 - 14*p**2 - 2*p + 62871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1418526718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2358*b - 6. Let q(j) = -131*j. What is q(c(o))?\nAnswer: -308898*o + 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w**2 + 19*w - 91. Let k(t) = 19*t**2 + 39*t - 183. Let i(m) = -7*b(m) + 4*k(m). What is the hundreds digit of i(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(4*k**3 - 3*k**3 + 7*k**2 - 3*k**2).\nAnswer: 2*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*l - 9 = 0, -5*a - 8 = -2*l - 27. Let g be 106\/318 - (-1 + (-1400)\/a). Round g to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-6)*(-1 + 2). Let s = -510 - -512. What is the closest to s in 0.2, x, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 766848?\nAnswer: -766850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8465 (base 10) to base 6\nAnswer: -103105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33481 is divided by 3717.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l, c = 2*l - 0*l + 9. Suppose 4*g - 14 = -2, 5*w - 1061 = c*g. What are the prime factors of w?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 20*q. Let h(v) = -v**2 + 5*v + 5. Let w be h(5). Let z = w + 10. Let b(c) = -3*c. Let j(u) = z*b(u) + 2*f(u). Let y(l) = l. Give j(y(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*j + 3*q, -5*j + 7*q - 4*q - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2850 and 651700?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpd when three letters picked without replacement from {r: 1, p: 6, h: 1, y: 1, d: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**4 + 16*z**3 - 52*z**2 + 52*z - 24. Let f(n) = -n**3 - n**2 - n - 2. Let j(k) = -2*f(k) + u(k). Find d, given that j(d) = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - -16.49?\nAnswer: 17.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10824832 and 95\/18?\nAnswer: 97423488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 6*sqrt(66)*-2)\/sqrt(6) - (sqrt(11)*-1*-3 + 3).\nAnswer: -14*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83199807 is divided by 6374.\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2 - 12*p - 3*p**3 + 14*p)*(p + 4*p - 2*p).\nAnswer: -3*p**4 + 6*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250025 (base 6) in base 3?\nAnswer: 22020020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2487920762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/3)*b*b\/(b**(-1\/4)\/b)*b*b**0*b**(-3) assuming b is positive.\nAnswer: b**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8282 - -13196. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 9.07. Let q = f - -7. Let i = 0.5 - 0.2. Which is the closest to -1? (a) q (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.7 + -10. Which is the closest to 9? (a) -4\/5 (b) y (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 988.076 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + 1001?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17239292 greater than or equal to 17239291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 6:36 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((7 + 2 - 4)*(0 + 2 + z + 0*z) + (0 + 4 - 3)*(2*z - z - 2*z))*(273*z + 872*z + 1848*z) to b*z + m*z**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*m + 5*t + 2, -3*m - 5*t = -46. Suppose 2*n - m = 13. Solve n = 4*f + f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.013, 4, 9, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1124 - 32632?\nAnswer: -34056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 39. Let y(r) = 2. Determine -n(v) + 4*y(v).\nAnswer: -5*v - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 532*u**3 + 77587*u**2 - 1763496*u - 1841616.\nAnswer: (u - 252)**2*(u - 29)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47447 + -47445. Suppose m - 25 = -4*d - 0*d, 2*m = -3*d + 25. Solve 2*b = c*b - m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1056 - -1058. Solve 0 = z*u + 10, -v - v - u = 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -925557003 divided by -3\nAnswer: 308519001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123125 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 a(q) = 2*q**2 + 15*q - 7. Give a(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.7, -0.1, 0.2, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4678172 and 125\/3048?\nAnswer: 28069032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzzzzyyyyyy. Give prob of picking 4 y.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30374 bigger than 30353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 11 - 8. Suppose 9 = b*j, -219 = -2*u + 6*j - j. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5671 or 5668?\nAnswer: 5671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**2*p)\/p*p)\/(p\/p**(-17))*p\/p**(-7\/3)*p**(1\/2) assuming p is positive.\nAnswer: p**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 = 53*v + 804 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/23 - 206*i\/23 + 1860\/23.\nAnswer: 2*(i - 93)*(i - 10)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1496 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 8*p - 5. Let a(d) = -13*d**2 + 33. Let c(i) = -3*i**2 + i + 8. Let s(q) = 2*a(q) - 9*c(q). Determine 6*g(z) - 5*s(z).\nAnswer: 7*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548 - 871*y**3 - 548 + 771*y**3.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x + 128 = -4*l, 2*x = -3*l + 91. What is the first derivative of 65*g**4 + 9 - 53 - x - 10 wrt g?\nAnswer: 260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 7*i + 2465. Let j = i + -489. Solve 6 = -u + j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, -13\/8, -2\/5, 0, -3\/10 in decreasing order.\nAnswer: 127, 0, -3\/10, -2\/5, -13\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 3\/7, -52\/27, -3, 7\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1, -3*f = -3*z + z - 635. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/20 + b**4\/2 - 2*b**3\/3 + b**2 + 2*b. Let t be s(6). Let f = -14 - t. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 68315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 84, 214, 386, 594, 832?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 767616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -55*q**3 + 388*q**2 + 280*q - 2. What is the first derivative of r(a) wrt a?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = 0, 0 = -n + 2*k + 6 + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccu when three letters picked without replacement from {u: 1, y: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 v when four letters picked without replacement from bbbbvbbbbbbvbvb.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggjk when four letters picked without replacement from {j: 10, g: 2, k: 2}?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 8. Suppose 28 = 6*s - 2*s. Let a be y(s). Let c = 109 - a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 22 + 90. Is t at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 + 146 + 4*l**2 + 0*l**2)*(68*l - 125*l + 59*l).\nAnswer: 8*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*r + 9 = 0, -r + 3 + 0 = 5*c. Suppose g = 5 - c. Solve -m - g*v + 18 = 0, 2*v = 4*m - 7*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806615725?\nAnswer: 5, 37, 872017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5723 and 1067?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-10))\/(4\/10))\/(105\/70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:13 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 - 3466*j**2 - 483648*j - 16247880 = 0.\nAnswer: -66, 1865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74090 (base 10) to base 4.\nAnswer: 102011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-20)*-6*(-5403)\/(-18)*44.\nAnswer: 2, 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 22 - 14 = 0. Solve 2*l - w = -2*o - 6, 14 = 2*o - 4*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*x - 6. Let i(u) = u**3 - 7*u**2 + 4*u + 12. Let q be i(6). What is the biggest value in x, -3\/8, -0.05, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49627653 to the nearest integer?\nAnswer: 7045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*v, -z + v = -6*z + 15. Let j = -15 + 61\/4. Factor -1\/4 - j*c**z + 1\/2*c.\nAnswer: -(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u**3 + u)*(3 + 7 - 4)*(-4 - 2 + 5)*(4 - 3 - 3).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -21*k - 3*k. Suppose -s + 53 = k. Calculate the remainder when s is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -732 divided by -183?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 178 and -2519107?\nAnswer: 2519285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-1 + (-8)\/(-4)). What is the greatest common factor of g and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 5*y**4\/4 + y**3 - y**2 - 6*y + 3. Let a(r) = -6*r**3 - 3*r**2 + r + 6. Let f(i) = -4*a(i) - 5*n(i). Calculate f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.19 - -14.49. Round s to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/567*(-1)\/3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:13 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**6\/40 + 11*m**5\/120 + m**4\/12 - m**3\/3 + 3*m. Let f(x) be the second derivative of y(x). Solve f(p) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 15*q - 5. Let b be p(4). Let c(j) = j - 10. Let w be c(13). Suppose r - f = 178, -w*f = -r + b + 135. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39751, -79503, -119257, -159013, -198771, -238531, -278293?\n\"Answer: -r**2 - 39749*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 248223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/7)\/(-8))\/(1*(-10)\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*t - 24, 4*x + 4*t = 22 + 6. Suppose 19*w - 366 = 15*w + x*n, -n = -1. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(5)*-4)\/(sqrt(11) - -4*(sqrt(11) + -3*sqrt(11))).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/78553 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*z - 75 + 75)*(4 - 4 + 8) + (1 - 2*z - 1)*(-4 + 2 - 1) in the form t*z + c and give t.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from cceeecc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -5. Find the third derivative of -3*v**2 - v**2 - 3*v**s + 4*v**6 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nczrsrrcccscncccz. Give prob of sequence rc.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 10*q + 85 = 9*q - 7*f, 5*q - q + 60 = -4*f for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -14. Let f = -251 + 251. Suppose f = 6*i - 2002 + 2050. Which is greater: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149488 is divided by 29897.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1261 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -11, -45, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (130 - 5*h - 90 + 161)*(-1 - h - 2 + 3*h) as d*h + w + q*h**2 and give w.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2)\/((-42)\/(-7))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 9*v + 6. Let p be z(12). Let d be ((-1)\/(-7))\/(p\/(-49)). What is the nearest to 0.3 in 1\/2, d, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 - 21*r - 90. Let b be w(-4). Suppose b*c = 104*c + 6. Calculate the remainder when 14 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 13 = k + 5*a, 0 = k - a + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = -3. Suppose -y*j = -136 + 26. List the prime factors of 1 + (j\/1 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184158 and 19675.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**15*s\/s**(-5\/8) assuming s is positive.\nAnswer: s**(133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 4*r**2 - r + 6. Let i(y) = y**3 - 2*y**2 + y - 3. Let c(s) = 7*i(s) + 4*q(s). Let u be c(3). Solve -u*z + 16 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3375.2 to the nearest ten.\nAnswer: -3380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 270.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 20 = -4*w, 19*g - 8 = -3*w + 15*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37 + 3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/968 and -17\/2904.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f - 1\/3*f**3 - 8 + 0*f**2. Let q(y) = 9*y. Calculate i(q(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777*q + 3350 = -727*q. Solve -11*z = 45 - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Suppose -60*l + 18 = -58*l. Calculate the smallest common multiple of l and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 + -174 + 176\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:11 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - 6. Find the common denominator of 51\/14*(-4)\/c + 1 and -16\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 66 + 110. Solve -8*t = 6 - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*n - 36*n - 104 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = -3*x, 27 = 4*x + 3*q + 2*q. Suppose 2*d = x + 35. Let u be (22 - d) + (-25)\/7. Which is the closest to 0? (a) -0.2 (b) -5\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*u - 21, 0*o - 3*o = 3*u. Suppose 21 + 6 = 2*q + o*s, 11 = q + 4*s. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**7\/1260 - c**6\/360 - c**5\/30 - c**4\/12 + 2*c. Let p(r) be the third derivative of i(r). Factor p(u).\nAnswer: 2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + (0 - -1) + 0. Suppose -6*c + j = -c. Let t(d) be the first derivative of -d**3\/3 + 3*d**2\/2 + d - 14. Give t(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 237?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 3*m**2 - 7*m + 25. Let p be l(3). Let c(k) = k**3 - 7*k**2 + 5*k + 6. Let r be c(6). Solve f - 5*h - 18 = r, -3*f - h - p*h = 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37530936?\nAnswer: 2, 3, 383, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 559544 + 207266. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*19\/(-722)*(-54)\/135\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 345 - 336. Let x(v) be the third derivative of v**5\/60 - v**4\/3 - 3*v**3\/2 - 5*v**2. What is x(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = f - 2*v - 53, 0 = 3*f + v - 136. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - h - 2 = 0, 4*h = 6*h + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3420*h = -4*d + 3422*h, 0 = 3*d - 4*h - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 38. Let w be d(5). Suppose -4*o + 473 = -3*o. Calculate the highest common factor of w and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28\/10)\/((-12)\/(-240)) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-798)\/(-2128))*2\/(8*6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/14*10\/(-30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -792053, -1584090, -2376113, -3168122, -3960117, -4752098?\n\"Answer: 7*b**2 - 792058*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (-9678 + -1 + (-12)\/(-6)). Suppose 43*u - y = 30*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2039771 or 2039856?\nAnswer: 2039771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 43 + 7. What is the fourth smallest value in -1, f, 5\/11, 0.4?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700753.\nAnswer: 31, 83, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 40.34531 centimeters?\nAnswer: 0.4034531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 295*j**3 + 2*j - 299*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*g**2*v**2 - 80*g**2 - 4*v wrt v.\nAnswer: 152*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12891, -12874, -12841, -12786, -12703?\nAnswer: -12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8626142 is divided by 145.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3*x**3 + x**4)*(-907 + 1667 + 1347).\nAnswer: 2107*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1460 and -41\/4630?\nAnswer: 675980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 1 - 158*u**2 + 23*u**2 + 18 - 40*u**2.\nAnswer: -175*u**2 + u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-3 + 82) - ((8\/1)\/2 - -1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 74739, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**7\/1260 - 7*p**6\/720 - p**5\/30 - 2*p**2. Let n(b) be the third derivative of a(b). Does 7 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 5*a - 6. Determine t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11978404.2us?\nAnswer: 0.0000198055625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Suppose o - 2 = m. Suppose -m = 2*s - 4*x, -22 = -3*s - 2*s + x. Solve -2*g + 5 = -s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4*(-7916)\/(-9895)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11197 and 692.\nAnswer: 7748324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhihllkkvhbhbhhbi. Give prob of picking 1 l and 1 h.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - 3*j**2 - j + 16. Let n be s(4). Let u = -79 - n. What is the remainder when u is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Let t = x + -3.941. What is t rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lesnneaenne. Give prob of sequence la.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-4*(-16)\/(-14016).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*s - 18, -i + 2*i + 5*s - 24 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195381*w**5 - 58033*w wrt w.\nAnswer: 3907620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 104*w**2 + 4*w + 2. Let y be d(-1). Suppose 0 = -3*o + 2*o + y. What is the greatest common factor of o and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478300 divided by 478300.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 23, 35, 47, 59?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrri when four letters picked without replacement from irrrriiiiirrirrrii.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 4*i. Let x(a) = -a**2 + 4*a + 1. Let f be x(5). Let w(y) = 18*y + y**2 - 25*y + 2*y + 2 - 2. Calculate f*w(p) - 5*j(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23756681 divided by -266929\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.14, 13, -70?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.172, -6, -1\/3, -0.3 in decreasing order.\nAnswer: 0.172, -0.3, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -7*u. Let v(o) be the first derivative of -o**2 - 1. Let r(w) = w. Calculate u*v(m) - r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (2781\/18)\/(3 - 171\/58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 30. Let m be a(11). What is the second derivative of -m*n**2 + 30*n - 8*n**3 + 19*n**2 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 7. Let a = 9 - 6. Suppose -3*k - 2*k - 20 = 0, -4*o - a*k + 8 = 0. Suppose o*c = -f - f - 35, 0 = 4*c + 20. Give n(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:43 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1257667 and 49\/7546002.\nAnswer: 7546002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1283517)\/6*(5 + -19). Suppose 17*l + 49535127 + h = 0. What is l rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 1. Let y = -19.048 - j. Round y to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - -4 - (590 - 657)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/78 - 8*r**3\/39 - 12*r**2\/13 - r + 128. Determine j so that a(j) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*r**3 + 2*r**2 - 560*r**3 - 757*r**3 + 2*r.\nAnswer: -1424*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 37. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -89*k**3\/6 - 5*k**2\/2 - 17*k - 4. Let h(u) = -178*u - 12. Let r(f) = 5*d(f) - 2*h(f). Let g(b) = -b**2. Give g(r(j)).\nAnswer: -7921*j**2 - 178*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/532)\/(2\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/7 + 24122319*o**2\/7 - 96489312*o\/7 + 96489324\/7 = 0. What is o?\nAnswer: -8040777, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 61311\/41730 + (-2)\/(-65). What is s in 99*s**2 + 3267\/2*s + 0 + g*s**3 = 0?\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*o = 4 - 0, -j - 2*o = 2. Solve 0 = -3*y + 5*f - 15 - 6, j = 3*y + 4*f - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 + 1050799?\nAnswer: 1050758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.9 - 7. Let i = 5.7 + -9.8. Let d = i + y. Round d to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = 3*v + 3*w, -v - w - 6 = 0. Let q be 3269 + 2 + 4\/v. Suppose 0 = 5*r - 5*x - q, -r = -3*r + 5*x + 1305. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 99?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-5 + -1) + 1. Suppose 0 = v*d - 3*z - 2*z - 10, 3*d - z = 15. Solve 2*a - d + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-219)\/(-27) - (-6)\/(-54). Suppose -m - 5 = y - 1, f = -2*y - m. Let i = -1 - 1. Put 5, i, y in increasing order.\nAnswer: y, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100.5 - -94. Let f = o + 1.5. Let m be -1 - 14\/(-4) - 1. Put m, f, 2 in ascending order.\nAnswer: f, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-1)\/2*(-2386)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeeoooeeooo. What is prob of sequence eeoo?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*y**3 + 38 - 5*y**2 - 40 - 101*y**3 wrt y.\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 2*s - 2. Let z(u) = -2*u**2 + 3*u**2 - u + 2*u + 5*u**2 + 1 - 5*u**2. What is -l(r) - 2*z(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(156) - sqrt(156)*-1) + sqrt(156))*-1)\/(((sqrt(432) - (-1*sqrt(432) - sqrt(432))) + sqrt(432))*-6))**2.\nAnswer: 13\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -9) + 1*4. Let d(h) = -p*h**3 - h + 4*h**2 - 3*h + 6*h - 5. Let y(q) = -q**2 - q + 1. Give -d(x) - 4*y(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -332476.93 and -0.7?\nAnswer: 232733.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 2. Let s(h) = 4*h - 3*h - 3 + 2*h - 1. Calculate 3*s(t) - 5*y(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -6\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.4, 32\/7649?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 4064013 = 4061153 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36 - -6377969659.\nAnswer: 6377969659.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*v - 2*v + 26, 0 = l + v - 3. Let b(g) = 15*g + 6. Let r(j) = 5*j + 2. Let o(t) = 2*b(t) - 7*r(t). Give o(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3 + 2*z + 17 - 11. Let o(g) = 2*g**2. Give o(t(x)).\nAnswer: 8*x**2 + 24*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r + 1, 4*r - 1 = -3*k. What is the third biggest value in -0.11, 4, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -5*b + 5*x - 12, b = -5*x + 26. Let i = 65 - b. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/13 - -25\/26. Let d(j) = j**2 + 3*j - 10. Let l be d(-5). Determine x so that h*x**4 + 0 + l*x + 1\/4*x**5 + 0*x**2 + 1\/4*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 15540.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60926339 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556060.4g in nanograms?\nAnswer: 556060400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/210 and -24\/175225.\nAnswer: 7359450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8509000 rounded to the nearest one hundred thousand?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1 + 5*l + 1. Let g(u) = -2*u + 2. Let a(r) = r**2 - 3*r + 3. Let j(h) = -2*a(h) + 3*g(h). What is p(j(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 25*g - 1 - 5*g - 24*g)*(-3 + 1 + 1)*(4*g - g - g)*(8 + 7 - 7).\nAnswer: 48*g**3 + 64*g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -157\/4, -6\/7, -0.5, 2\/31763?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -5 (b) 15 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(363) + ((5*-4*sqrt(363))**2 - sqrt(363))) - (sqrt(363) + (sqrt(363)*2)**2*-3 - (sqrt(363) + 2)*1)).\nAnswer: 730358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + -20?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 + 25396*y**2 + 2500664*y + 2475264 = 0. Calculate y.\nAnswer: -96, -1, 6446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 12*w**2 + 20*w - 156. What is the remainder when h(7) is divided by 83?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -19\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 + 22 + (-1 - 4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 881 - 880.999993586. 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: Which is greater: 66763 or 400585\/6?\nAnswer: 400585\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-103)\/(-6) - 4\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 1 - 1)*(15*y + 22*y - 3*y) + (2 - 4 + 0)*(2*y + 0*y - 3*y) + 2 + 2*y - 2.\nAnswer: 378*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24460236.051 + 24479218. Let p = -18865 + c. Let y = 117 - p. What is y rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4540, 9079, 13618?\nAnswer: 18157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.2 + 6. Sort -0.1, c, -5.\nAnswer: -5, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + v - 8 + 8. Let a(t) = -10*t**2. What is h(a(r))?\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2744 + -2747 + -22 + -1 + 1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - (-45)\/(-12))\/(3\/8). Sort 1, 4, 13, x.\nAnswer: 1, 4, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m + 107*m = 3520. Does 71 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3255\/1116 + (-2)\/(-24). Let r(w) = w**3 - w**2 + w - 1. Let q(v) = -6*v**3 + 3*v**2 - 3*v + 3. Calculate p*r(n) + q(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242*l*x**2 - 2*l*x - 89*x**2 wrt l.\nAnswer: -242*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564282.\nAnswer: 2, 782141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 994, 3120, 6918, 12598, 20370?\n\"Answer: 35*z**3 + 626*z**2 + 3*z + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-14)\/(-84)*(6 - 0). Let p(u) = u**2 + 5*u + u + 3 - 5*u + u**3. Give p(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 11. Let l be f(-8). Let d(y) = y**3 - 5*y**2 - 1. Let h be d(l). List the prime factors of h\/(0 - 1\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t - 3. Let i be -2*(2 - (-51)\/6). Let n be 161\/i - 4\/(-6). Is k(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byhy when four letters picked without replacement from {b: 1, i: 3, h: 11, y: 4}.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109417848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/2 - -2. Let a = -4 + 6. Suppose 0 = 3*p - 3, y - 2*p = p - a. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmfm when four letters picked without replacement from {z: 1, f: 1, m: 7}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8246272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21286 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.38, -0.2, 4, -5, 2 in ascending order.\nAnswer: -5, -0.2, 0.38, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 - 15)*(-2*r**3 - 1 + 1).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 59763800 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*j**4 - 3*j**2 + 385*j - 1275735?\nAnswer: -276*j**3 - 6*j + 385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -5, -19, -41, -71, -109, -155?\n\"Answer: -4*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + -165 + 165 - (-2 + 0 - -16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169626?\nAnswer: 2, 3, 17, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -138*g - 2. Let f be r(-1). Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/38 and 81\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:33 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681198338.\nAnswer: 2, 10169, 181001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 289*z**4 + 3076*z**3 + 5004*z**2.\nAnswer: z**2*(z + 2)*(z + 9)*(z + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 75*d. Let l(i) be the second derivative of -i**6\/180 - 19*i**3\/2 - 36*i. Let r(c) be the second derivative of l(c). What is s(r(p))?\nAnswer: -150*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*k - 16 = -0*m, m = k + 6. Solve -5*t = -m + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-12))\/((-2)\/8). Solve w = -5, -c*f = -f + 2*w + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-12 - -8) + 4 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900193958 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 500554 (base 10) in base 3?\nAnswer: 221102122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -25\/2*k**4 - 19 - 33*k + 0*k**3 + 0*k**2. What is the derivative of v(j) wrt j?\nAnswer: -150*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t**2 + 6*t - 6. Let k(c) = 12*c**2 - 5*c + 5. Let x(i) = 5*b(i) + 6*k(i). Let f(q) = -5*q + 2*q + 2*q. What is x(f(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxpxxpxxpxpxppx. Give prob of picking 4 p.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/4 - 249*t - 23256.\nAnswer: 3*(t - 408)*(t + 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13 + v**2 + 4*v**2 - 3*v**3 - 7*v + 2*v**3. Let c be -15 + 18 + 1*(-4)\/(-4). Let h be p(c). Solve 5 = -q + w, -w + h = -q + 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 - 37962*u**2 - 4101885*u + 4139850 = 0. What is u?\nAnswer: -12545, -110, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9918 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 40*x - 752 = -34*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-2*g**2 + 2*g**2 - g**2) + (-557 + 32*g + 557)*(3*g - 4*g - g))*(3*g - 3*g + g + (-3*g + 0*g + g)*(-4 + 0 + 3)).\nAnswer: -189*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 673674 (base 8) in base 15?\nAnswer: 4750a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32553 - 35709.4. Round h to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201260 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(18\/5))\/j)\/j*j**(-15)*j)**(-18) assuming j is positive.\nAnswer: j**(1026\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630346 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 333, 763, 1369, 2151, 3109?\nAnswer: 4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1 - (-5 + 17 - 2)\/(-9)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112595 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3478 + -194?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134820*y**6 + 2*y**2 - 28*y + 189.\nAnswer: -16178400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -44. Sort 8, -5, y in descending order.\nAnswer: 8, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2286803 or 2286802?\nAnswer: 2286803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26265408677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260721024?\nAnswer: 2, 3, 109, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -1273017.\nAnswer: -1273016.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*r**2*s - 555*r*s - 4*r + 46660190*s wrt r.\nAnswer: 216*r*s - 555*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d**2 - 9*d**2 - 11*d**2)*(1 - 1 + d + (-2*d + 0*d + 4*d)*(3 + 3 - 4)).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39161, -39197, -39249, -39317?\nAnswer: -39401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 16, k: 1}. Give prob of picking 3 x.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 - -8374.085.\nAnswer: 8436.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6)*(-2)\/(12\/9). Which is the closest to -3? (a) 0.3 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56489486 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: Collect the terms in 70732*z**2 + z**3 - 70732*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*q**3 + 0 + (8*q**2 + 125 - 125)*(0 + 0 - 1)*(-20*q - 6 + 6) + 0*q**3 + 9*q**3 + q**3.\nAnswer: 168*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -5 - 19685\/2159 - 21\/(-102)*326?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2c88 (base 13) to base 14\nAnswer: 254a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6017818?\nAnswer: 2, 71, 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -0.05, 2 in decreasing order.\nAnswer: 2, 0.14, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 4, q: 2, a: 3, h: 1, u: 1}. What is prob of picking 1 h, 1 u, and 1 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-18))\/(111\/(-999)). Calculate the greatest common factor of 1078 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10589, 10591, 10593, 10595, 10597, 10599?\n\"Answer: 2*z + 10587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/279*(-4 - -1)*-3. What is the nearest to 1 in 0, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*f*l**3*v + f*l**3 - 35*f*l**2*v - 2*f*l - 130*f*v - 2*f - 109*l**3*v - 2*l wrt l.\nAnswer: -1266*f*v + 6*f - 654*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -56. What is i in -3 + 6*i**p - 4*i**5 - 9*i + 6*i**3 - 3*i**4 - 5*i**5 + 6*i + 6*i**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*-3)\/((2*sqrt(35))\/sqrt(7)) + 4.\nAnswer: -3*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78725, 85207, 91689, 98171, 104653?\nAnswer: 111135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11))**2*x*x*x*x*x**(3\/4)*x*x*x\/x**(-8\/7) assuming x is positive.\nAnswer: x**(2627\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4901, -3, -1280 in increasing order.\nAnswer: -4901, -1280, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/151 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(18) + (2*sqrt(180))\/sqrt(10))*2)\/(-1*sqrt(1089) - sqrt(576)\/sqrt(4)).\nAnswer: -2 - 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4124 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -157.803472662.\nAnswer: -158.003472662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**2 - 2 + (z - 2*z - 4*z)*(3 - 4*z - 3))*(0 - 1 - 1).\nAnswer: -42*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*m + 274, 0*m - 10 = -5*m. Let o = q + 31. What is the remainder when o is divided by -27 + 140\/5 + (26 + -2 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(85\/325 - (-198)\/(-429)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3\/7, 1, -1 in decreasing order.\nAnswer: 21, 1, 3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 20*a + 38. Calculate the remainder when 130 is divided by r(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyk when three letters picked without replacement from yvyyyhakk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*j + 4, 102*j - 38 = 3*z + 100*j for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5 - 375*r**4 - 17476*r**3 + 10336*r**2 + 69936*r - 35344 = 0.\nAnswer: -94, -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(1 + sqrt(12)\/sqrt(4)) + 3*(sqrt(972) - sqrt(27))**2 + -4) + 2.\nAnswer: 30*sqrt(3) + 12158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, w: 2, i: 1, h: 1, c: 1}. What is prob of picking 4 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d + 2. Let m(n) be the first derivative of 4*n**2 - 2*n + 13. Let o(p) = -6*m(p) - 7*r(p). Determine o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scwc when four letters picked without replacement from scctwt.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-4) - 11*23\/(-506)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*m - 187, 2 = -2*n + 8. Let f = -1703 - -1726. Calculate the remainder when m is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.5. Let a = 0.1 + 0.1. Let w = 0.034 - -2.966. Sort a, y, w in descending order.\nAnswer: w, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**8\/504 + 2*g**7\/315 - g**6\/180 + g**2 + 9*g. Factor c(f).\nAnswer: -2*f**3*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(165))\/sqrt(5) - sqrt(33))\/(sqrt(3) + sqrt(432) + -2*sqrt(432) + sqrt(432) + sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 2*r - 398004137*r**2 - 1 + 398004846*r**2.\nAnswer: 709*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -14*z - 60. Let r(t) = t**3 + 6*t**2 + 4*t - 3. Let x be r(z). What is the tens digit of x\/4*-12*6\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**4\/(a**3\/a**(1\/9))*(((a\/(a*a**(-6))*a)\/a)\/a**6)\/(a**(-1\/2))**37 assuming a is positive.\nAnswer: a**(281\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 35241.\nAnswer: -7\/11747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 times -3816?\nAnswer: 1026504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1321, 1340, 1367, 1402?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 6*x + 2\/13*x**5 - 1 - 1\/39*x**3 + 0*x**2 + 1\/78*x**4. Let s(o) be the first derivative of r(o). Find a, given that s(a) = 0.\nAnswer: -1\/4, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*i**2 + 54*i**4 + 14*i**2 - 64*i**4 + i**4 + 2)*(2 - 2 + 4).\nAnswer: -36*i**4 - 580*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*f + 2*a + 420, -f = 5*a - 128. Is 23 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4943.\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (2 + -4))*-3. Let f = 85 - z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 76*h**2\/7 + 68240*h\/7 - 7184\/7 = 0.\nAnswer: -898, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 4584128.\nAnswer: 41257152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 2*i - 9. Let a be x(-5). Let s be (4 - a)*2 - -2. What is the common denominator of (s\/(-10))\/((-12)\/320) and -62\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310 + 3?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 93 + 31*w**2 + 280*w**2.\nAnswer: 311*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (-3 + sqrt(704) - sqrt(704)) + (sqrt(275) + 4)**2 - (-1 + -2*sqrt(99) + -2)**2) + -5.\nAnswer: -122 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 76.7. Let o = h - 22.3000103. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 7*s**2 - s + 9. Let a be v(7). Suppose a*x - 3*h = x + 19, -2*h - 57 = -3*x. Solve -5*f = 4*c - x, f - 2*c = -0*c + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6935 = 2*t, 4*t = -z - t + 1410. Suppose -z = -4*k + 3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2 - -2)*(20 + -21). Let a be ((-3)\/(-2))\/(3\/(-4)). Let p = a + r. Round p to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 + -cbae6?\nAnswer: -cbb28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*p + 5313 = 1323 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 177 + 69. Suppose 3*p - j = 47. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**4*q**2 + 75*j**4 + 8*j*q - j - 12*q**2 wrt j.\nAnswer: -36*j**2*q**2 + 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691, -2713, -2731, -2739, -2731?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 - 60*d**4 - 13*d**3 - 2*d**2 + 1481?\nAnswer: -240*d**3 - 1440*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*d**2 - 5)*(-1 + 1 - d) + 4*d**3 - 5*d**3 + 2*d**3 - 2 + d**3 + 2 + (d**2 + 1 - 1)*(2*d - 3 + 3) - 5 + 5 - 2*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 292.87 and -4?\nAnswer: -1171.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500))*-5 - sqrt(500) - (0 + sqrt(500) + sqrt(500) + 1 + sqrt(500)))**2 + ((sqrt(30)\/(sqrt(6)*1))**2 - (-3*sqrt(245) - sqrt(245))).\nAnswer: -1592*sqrt(5) + 40586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180622 - 180622 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4089 and 3364203.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4968 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 19 = 5. What is the second derivative of -k*q - 12*q**3 + 9*q + 12*q wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1980 and 3740.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 12*r - 57. What is the least common multiple of 110 and v(-12)?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001859701296 rounded to 6 dps?\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*d**3 - 25*d**3 - 27*d**3 + 14*d**3 + 61*d**3 + 200 - 35*d**2 - 170*d = 0. Calculate d.\nAnswer: -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11))**(-15\/4) assuming b is positive.\nAnswer: b**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(2 - 2 - 1)*(-95*q + 645 - 645).\nAnswer: -190*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128154 is divided by 9858.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/5708 and -61\/336?\nAnswer: 479472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42374 and 2?\nAnswer: 42374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37371 * -2.8.\nAnswer: 1.046388","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -35*z. Let i(v) = 11*v**2. What is u(i(r))?\nAnswer: -385*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 - 4*c - 3. Let v be q(-2). Let d(y) = -v + 2 + 9*y**2 + 3. Let b(n) = n**2. What is b(d(l))?\nAnswer: 81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from {n: 3, i: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4002\/505 - -9986\/1515. Let o = 1 - 0. Let r = o + 0. Which is the nearest to r? (a) -3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-8)\/(-36)). Let j be 10\/k*48\/(-5). Let m be 2\/(-9)*24\/j. Which is the second smallest value? (a) m (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2265*t - 2733. Let z be v(-4). Which is smaller: z or 6326?\nAnswer: 6326","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254015121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215406 and 1302.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -256*h - 79459. What is z(-303)?\nAnswer: -1891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - sqrt(13)) + 1 + sqrt(13) + -1 + 3.\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -15, -2\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/164)\/5*8\/(-12). Which is the nearest to -0.7? (a) 2 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*140\/(-1428)*-17.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*i*j*x**2 + b**2*i*x**3 + 2*b*i*x - 6*b*j*x**3 + 2*i*j + 8*i*x**2 + j*x**2 wrt x?\nAnswer: 6*b**2*i - 36*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6702 - -9799. What are the prime factors of o?\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*t + 12*t + 33. Solve -8 = 5*b - t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44082*y**3 - 758435 wrt y.\nAnswer: 132246*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8018, 15713, 23400, 31073, 38726, 46353?\nAnswer: 53948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-11) - 4\/22. Suppose -h - o = -3 - 4, -3*h + n*o - 9 = 0. What is the first derivative of -7*q**2 - 2 + 7*q**2 + h*q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -10*w**3\/3 + 7*w + 771. Let u(d) = d**2 - 1. Give 2*a(k) + 14*u(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43203 (base 8) in base 3?\nAnswer: 220202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17126708, 17126709, 17126710?\nAnswer: 17126711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 138 = 30. Let g be ((-5)\/(-2) - 3) + 151053\/q. Let b = g + -2791. What is the common denominator of 61\/8 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1.026 times 27\nAnswer: -27.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001232 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o = -162*o - 896 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89\/(-18957))\/(2\/(-12)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 229409056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -2694?\nAnswer: -2694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*z = 4716, -3*z - 3604 = -3*g - 61. What is the highest common divisor of 220 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 3 - (-1 - 1). Let k(f) = 40*f**3 + 15*f**2 + 2*f + 10. Let n(q) = -19*q**3 - 6*q**2 - q - 4. Let b(l) = 2*k(l) + 5*n(l). What is b(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*c + 9, l + 3*c = -l - 18. Let r be (-2 + -4)*35\/l. What is the greatest common factor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288213?\nAnswer: 3, 23, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3020600 and 28.\nAnswer: 21144200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6548.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 561120, 0.5 in descending order.\nAnswer: 561120, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 591027886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.4 + -6.1. Which is the second smallest value? (a) -5 (b) f (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 36*q. Let m(z) = 13*z**2. What is d(m(b))?\nAnswer: 468*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.795246802 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 4*o + 6. Suppose -g - b - 6 = 0, -5*g + b = 4*b + 28. Let w be s(g). Let j be w\/(4\/5 - 1). Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 786717.729 to the nearest ten thousand.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 1. Let x be b(1). Let q be 6 + -2 + 2\/x. Suppose 3*a = q*n + 24, -3*a = 2*a - 2*n - 40. Calculate the lowest common multiple of a and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271673\/90 or -3019?\nAnswer: -271673\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -c4?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z - k - k, -8 = 2*k. Suppose -4*a = y - 98, 6*a - 4*a = -4*y + 42. What is the highest common divisor of a and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/3 + (-1 - 0). Let c = b + -12. Suppose -7*a - 1 = -6*a, 5*q - a - 191 = 0. Calculate the remainder when q is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**2. Let p(b) = -5*b**2 + 6*b. Let t(v) = 4*v**2 - 5*v. Let w(c) = -5*p(c) - 6*t(c). Calculate i(w(u)).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63978*g*q + 320035*g - 2*q with respect to q.\nAnswer: 63978*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = h + 5*j - 51, h = -j + 66. Suppose 0 = 17*m + h - 335. Solve -6*p + 4 = m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 3*v**2 + 2*v + 1. Let a = -5 - -4. Let m be l(a). Calculate the highest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3160*i. Let m(v) = -4*v + 138. Give m(a(g)).\nAnswer: -12640*g + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450 (base 6) to base 12.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m. Suppose 15*z - 8*z = -20*z + 6*z. Let d(y) be the third derivative of 0 + z*y - 1\/30*y**5 + 0*y**4 + 0*y**3 + 19*y**2. Determine u(d(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011111010011000011001 - 1?\nAnswer: -11010011111010011000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/(-6)*(-28710)\/((-50)\/5) - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 0*s - 2 - 4*s + 4*s + 0*s - s + (2 - 1 + 0)*(2 + 4*s - 2).\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 4, z: 3, k: 3, y: 3, t: 2}. What is prob of picking 2 z and 1 y?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 8 = -8*x. Suppose r - 125 = -x*r. Suppose 3*j = c - r, -2*c = 3*j - 2 - 3. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/9682 and 19\/6.\nAnswer: 29046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2688 and 5145.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101000010101010?\nAnswer: -101000010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*m + 441*m - 886*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165 - -164.9882. What is b rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(171)*-3 + sqrt(171)).\nAnswer: -3 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18\/7 (b) 0.4 (c) 2 (d) 4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144705224 + 2*f - 144705224.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 948*t**4 - 18644*t**2 - 59554412?\nAnswer: 3792*t**3 - 37288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + (sqrt(343)*-3 - sqrt(343)) + -2*sqrt(7)*-1).\nAnswer: -150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**8\/112 + 5*x**7\/7 + 39*x**6\/10 + 79*x**5\/10 + 53*x**4\/8 - x**2 - 647. Find t such that g(t) = 0.\nAnswer: -1, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1791*j**2 - 1212*j?\nAnswer: -3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 3. Let k(q) be the second derivative of q**3\/6 + 5*q**2\/2 - 8*q. Let u be k(-7). Sort u, i, -5 in increasing order.\nAnswer: -5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 - 5*v. Let z(y) = 3*y**2 + 4*y. Let f(j) = -2*r(j) - 3*z(j). Let s be 4\/(-8)*0 - 2. Let i be f(s). Solve p + p - 8 = i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 440760051?\nAnswer: -440760055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205.27 - 204.87. Which is the closest to 2\/3? (a) 2 (b) 2\/43 (c) -2\/7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 3*p**4 - 3*p**4 + 2*p**5 + p**4 - p**4 + (2*p**2 + p**2 + 0*p**2)*(-301*p**3 + 649*p**3 - 280*p**3) - 2*p**5 + 2*p**5 + 2*p**5.\nAnswer: 206*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 390807 - 875407663\/2240. Calculate the common denominator of h and -115\/48.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let d(t) = -29*t**2 + 7*t + 6. What is d(b(j))?\nAnswer: -29*j**2 - 7*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22691068 to the nearest integer?\nAnswer: 4764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*a = 12, 3*v + 15 = -3*a + 6*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + 76. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*20\/6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 2*p**2 + 5*p**2 - 58 - p**2 - 25*p. Calculate the remainder when l(-19) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 643986 and 151506.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z**(1\/16) assuming z is positive.\nAnswer: z**(-49\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267*k**2*n**3*r**2 - 10*k**2*n**2*r**3 - n**3*r**3 - 11*n**2*r**3 + 2*n*r**3 wrt n?\nAnswer: -1602*k**2*r**2 - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864178175?\nAnswer: 5, 7, 4938161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30, 41, 46, 39, 14, -35, -114, -229?\n\"Answer: -l**3 + 3*l**2 + 9*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 2*w + 3. Let f(i) = 12*i**2 + 70 - i - 6*i - 60. Let p(b) = 2*f(b) - 7*y(b). Differentiate p(s) with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 452 and 25086.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 6. Let g = m - 7. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*g + 559*c**2 + 4*c*g + 7*g wrt g.\nAnswer: -2*c**2 + 4*c + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945924780.\nAnswer: 2, 3, 5, 15765413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 34*f**2 - 36*f - 3. Give u(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 7:20 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:25 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 425?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(-10 + 10 - 6*m)*(-679 - 118 - 695).\nAnswer: -8952*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -b + 5, 2*b - 9 = -2*v + 7*b. Suppose 10 = -v*c + 6. Which is smaller: c or -9\/16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51684968.\nAnswer: 2, 43, 150247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -4, 15\/208, 2\/7?\nAnswer: 15\/208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 5*m**2 - m - 4. Let p(f) = 1 + 3*f - 7 - 4*f**2 + 1 + 6*f**2. Let o be p(-3). Let u be i(o). Solve 0 = -5*w - 3 + u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from wwppppppwppppp.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, h: 7}. Give prob of sequence ahah.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -18 + (19 - 48)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 7537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - -34. Let g be 369\/117 + (-2)\/13. Let o(i) = i**2 - 4*i**3 - q*i + 74*i + 1 + 9*i**g. Determine o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -312, -554, -730, -744, -500, 98?\n\"Answer: 16*t**3 - 111*t**2 + 9*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {v: 2, w: 11}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10736)\/7 - (-28)\/(-98). Find the common denominator of f\/(-130)*5\/18 and -41\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1109156, -2218281, -3327408, -4436537?\nAnswer: -5545668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/3 - 30*b**2 + 3078*b - 48114 = 0 for b.\nAnswer: -99, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -8 - (-13 + -1)) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196*i**4 - 196*i**4 + 159*i**5 + (2 + 0 - 4)*(0*i**5 - i**5 + 0*i**5).\nAnswer: 161*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 14.9. Let j = z + 13. Which is the biggest value? (a) j (b) 2\/3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -53, -49, -45, -41, -37?\n\"Answer: 4*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60dd90 (base 14) in base 10?\nAnswer: 3265290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**7\/210 - g**6\/20 - 3*g**5\/20 + 7*g**4\/12 - 2184*g**2. Factor p(k).\nAnswer: k*(k - 7)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.2 and 111843.\nAnswer: -581583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 71. Suppose 5*h - 4*v + 70 = 0, 4*v = -h + 3 - 17. Let p = x + h. Solve -p*i = -i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 6:42 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739469336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6183100*k**2*y - 5*k*y**2 - 1868088*y**2 - 2 with respect to k.\nAnswer: -12366200*k*y - 5*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6010604 nanometers to centimeters.\nAnswer: 0.00000006010604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4704\/5*q - 940 - 4\/5*q**2 = 0 for q.\nAnswer: 1, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Let x(k) = -2*k**2 - 11630*k + 14. Give d(x(q)).\nAnswer: 4*q**2 + 23260*q - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0\/6)\/2)\/(5 - 2). Let t(s) = f*s + 6*s**2 - s - 2*s + 2*s. Determine t(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 35. Let k(b) = 0 - z*b**3 - 1 - b + 0. What is k(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -52, -88, -132, -184, -244, -312?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/12 - 5*r**3\/2 - 2*r**2 - 9*r. What is the remainder when g(-14) is divided by (7\/4)\/(6\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(312)\/(sqrt(72)\/sqrt(6)))\/(sqrt(150)\/sqrt(3)) + 2))**2.\nAnswer: 36*sqrt(13)\/5 + 1017\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/44 and 101\/227862532.\nAnswer: 2506487852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 3:44 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -1 + 67 - (4 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let a(c) = -4*c + 8. Let l(h) = h**2 + 149*h + 156*h + 2 - 306*h. Let z(b) = a(b) - 4*l(b). Calculate z(o(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2750647110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89834.999962877 + -89835. Round f to seven decimal places.\nAnswer: -0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 - 160. Solve -y = 4 - w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 + 8*z + 29. Let o be b(11). Let y(t) = -t**3 - 2*t**2 + 5*t + 1. Give y(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in 4, -3, 0.1, 18, 1\/564, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 44757924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 137 + 17 = w, 968*z - 971*z + 6 = 6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 813141?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**3 - o**3)*(3*o**2 - 2*o**2 + o**2) + 2 + 3*o**5 - 4*o**5 - o**5.\nAnswer: -10*o**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -21\/1116161?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4757.82197 to the nearest 10.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -45*g - 326. Give b(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*f - 2, -3*n - 3*f - 16 = -8*n. Suppose n*q = -q + 3*m + 99, 2*q = 4*m + 58. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -93. Let m be (-1)\/2 - 5481\/(-2). Is m\/30 - (-1)\/i*-1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3515897790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1297 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21213805 (base 9) in base 12?\nAnswer: -3511212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 348*m**2 + 3892*m + 694. Calculate b(-162).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2 + sqrt(80) - (sqrt(80) + 0 + -4)) + 4)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 5*s**4 + 2*s**4)*(-7*s + 3*s + 2*s) + s**5 + 0*s**5 + 0*s**5 + (-4*s + 4*s + s**2)*(17*s**3 - 169*s**3 - 36*s**3).\nAnswer: -185*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 15. Suppose 3*i = -5*l + 28, -i = -v*i + 4*l + 26. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(2\/9)*n*n)\/n)*n)\/(n**(1\/2)*n))\/(n*(n\/(((n*((n\/n**(2\/3))\/n)\/n)\/n)\/n))\/n*n*n)**37*(n*n**(1\/2))**(-16)\/(n**8*n**0\/n) assuming n is positive.\nAnswer: n**(-4345\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 168 - 11*w + 173 + 171 - 506 + 3*w**2 + w**3 + 2*w**3 as d*w**3 + g*w**2 + h + k*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/5 + 33*p**3\/5 + 9*p**2 - 81*p\/5 = 0.\nAnswer: -9, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -3 + 0 - (57 - (47 - -2)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 35 = 10, 3*i - z - 5 = 0. Let b(v) be the first derivative of i*v**3 + 1\/8*v**2 + 4 - 1\/16*v**4 + 0*v. Factor b(r).\nAnswer: -r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4670105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 20*s - 6. Suppose b = 2, 0 = s*j - 3*j + 5*b - 28. Find f, given that 9*f**3 + 4*f**2 + j*f**3 - 4 - 17*f**3 + 2*f = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5\/2)\/c**(6\/5))**(-1\/59))**(-8\/5))**33 assuming c is positive.\nAnswer: c**(-4884\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, r: 6}. What is prob of sequence tt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1005 - -1005. Sort 1, q, -105, -2 in decreasing order.\nAnswer: 1, q, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3451 from 0.3.\nAnswer: 3451.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4*1092\/(-60). Let j = -47 + g. Let n(h) = h**2 + 6*h + 4. Let q be n(-4). What is the second biggest value in q, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 3*l)*(191*l**2 + 10*l**3 - 191*l**2 - l) to v*l**2 + d*l**4 + y*l**3 + t + f*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 533 by 122352.\nAnswer: 533\/122352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*k + 50*k - 343 + 46*k - 145*k to d*k + n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136225144 divided by 174424.\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2. Let u(f) = 17*f**2 - 1. Give r(u(l)).\nAnswer: -1445*l**4 + 170*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -106014, -212028, -318042, -424056, -530070, -636084?\n\"Answer: -106014*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2239*r - r**2 - 2239*r. Let x(g) = 17*g**2. Let w(n) = 4*n**2. Let a(y) = 9*w(y) - 2*x(y). Give k(a(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -236960\/9 at least -26328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.3, -1\/148, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 626962.\nAnswer: -1\/313481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -1\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(153)*4)**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*t - 1 = 0, 2*t + 93 = 83. Let y be -2 - (2 + (-36)\/4). Suppose -5*z + 4*f - y = 0, -5*z + 2*f = -5 - 0. Sort z, -3, s in descending order.\nAnswer: z, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 219, 2, -2, 33, 1, -4 in increasing order.\nAnswer: -4, -2, 1, 2, 32, 33, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 502, 744, 986, 1228, 1470?\nAnswer: 1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -2*k. Suppose 2*f + k + 0 = 0. List the prime factors of f\/(-5) + 318\/30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 32 = 4*i, 0 = -4*i + i + 5*v + 28. What is the smallest common multiple of i and 149?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182204 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isaaiawssemaiae. Give prob of picking 1 i and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 65. What is the greatest common divisor of 231 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/429*(-45136)\/651\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*d + 8, d - 12 = -4*a. Suppose -238 = -c + 4*u, c = -3*c - a*u + 992. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 6. Suppose -u + 9 = -4*k, -2*u = u - k - 5. Let f(j) = -3*j + j**3 + u + 3 + 2*j - 3. Calculate f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 63 + 22 + 25 - 322*m in the form b + d*m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:14 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-518)\/570 - -1)\/((-48)\/12) and 83\/4.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1 + 0) + -21. Let z = m - -35. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let m be j + 0 - (-11)\/11. What is the second derivative of m*a**5 + a**5 + 2*a - a**5 + 0*a**5 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o + 12751 = 5*p + 42*o, 3*p - 7644 = -4*o. Suppose 394*j - 383*j = p. What is the greatest common factor of j and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190 - -193. Factor -2\/3*z**4 + 4\/3*z + 0*z**2 - 4\/3*z**v + 2\/3.\nAnswer: -2*(z - 1)*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658*j**2 - 659*j**2 + 2626*j**2 - 653*j**2 - 661*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/3)*t*t\/(t\/((((t*t*(t**(-27\/7)\/t)\/t)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3930.171 millimeters to centimeters.\nAnswer: 393.0171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 7*h**2 - 11*h - 6. Let i be z(-8). Let g(b) = 2*b - 22. Let f be g(i). Let t = 20 - f. Solve 3*a + 10 = v + 6*a, -3*a = -3*v + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 26*k + 98. Determine x(-25).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2612, 2575, 2476, 2285, 1972, 1507?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 560642481*f**4 - 410*f + 824417?\nAnswer: 6727709772*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 - 84*q + 400 = 0?\nAnswer: -25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o**3 - 4 + 8*o**2 + 4*o - o**3 - 2*o**2 + 2*o**3. Let x(z) = 3*z**2 + z. Calculate the smallest common multiple of k(-5) and x(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 8) + (1 - -4) + (-6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxyx when four letters picked without replacement from xyyyxyyyyxxyx.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507257*d**3 + 2*d**2*n + 293*d*n + d - 16 wrt d?\nAnswer: -3043542*d + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25592500 and 3530000.\nAnswer: 102370000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 436b?\nAnswer: 4381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104249 + 105795 + 4*u**2 + 6*u**2 - 210044.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.14 (b) 17 (c) -1 (d) 0.3 (e) 0.5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q - 1. Let s(l) = 11*l + 1. Let a(i) = 5*f(i) + 4*s(i). Suppose -5 = 2*k + 3*k. Let r be a(k). Solve r*z = -4*m + 1 + 31, 2*z - 17 = -3*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Let i(s) = s - 2*s + 0*s. What is the remainder when i(-4) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73094 - 191517 = 17319*b + 245016 - 42014 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25735 times 0.3?\nAnswer: -7720.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let u(o) be the third derivative of o**5\/60 - o**4\/24 - 3*o**2. Give -j(l) + 2*u(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.54 + 0.04?\nAnswer: 495.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + l - 11 = 0, -4*s + 21*l = 26*l - 23. Solve -3*w = -4*y - 31, -19 = s*w - 5*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c + 4 - 4)*(3 + 77788*c**2 - 77777*c**2 + 1) to t + s*c**2 + h*c + w*c**3 and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-33)*17 + 3)*1. Which is the closest to 3? (a) -0.5 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61, 70, 201?\n\"Answer: 131*d - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 26 = -36*k. Suppose 2*q = 4, -k*q - 2*q + 8 = 2*h. Suppose 6*i + 15 = i. Sort h, -4, 5, i in descending order.\nAnswer: 5, h, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 15. Determine x(13).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:52 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*p + 2*i, p - 18 + 1 = -4*i. Suppose -p*t + 46 = 4*y, -64 - 12 = -5*y + 3*t. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281356 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -109b236 (base 13) to base 7\nAnswer: -61264214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24290)\/1015 - -37) + (-2)\/29\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23741493564.26 plus 0.136?\nAnswer: -23741493564.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 - 30*f**4 - 15*f**3 + 80*f**2 + 60*f = 0. What is f?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + 0 - (0 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7373, 14747, 22121, 29495, 36869?\nAnswer: 44243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -54?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(832)*2))**2.\nAnswer: 3456*sqrt(13) + 120132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2)\/((-1)\/(-39)). Suppose -2*d + 2*a = -30, -2*d = 3*d + 4*a - y. Suppose -2*f - 1 + d = 5*g, -f = 0. Let i(p) = -5*p - 1. Give i(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -422 + 591. Is 170 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9242 + 0.4242. What is the nearest to 0 in -1\/49, y, 0.1?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 20140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f + 1. Let q be v(-5). Let h = 33.85 + -34. Let i = h - -0.55. Which is the nearest to -0.1? (a) q (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13999*g*x - 24721*x wrt g?\nAnswer: 13999*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmbtbv. What is prob of sequence mm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7407053.4 * 3.\nAnswer: 22221160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**8\/168 - 8*r**7\/105 - 13*r**6\/60 + 14*r**5\/3 - 2113*r**2. Solve u(n) = 0 for n.\nAnswer: -4, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4590 and 100317.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953878 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5853, 24612, 55871, 99630?\nAnswer: 155889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - -5) - -2 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*f - 13 - 0, 4*f = -4*w - 4. Suppose -p - f*l = -67, 51 = 5*p + 4*l - 272. Find the second derivative of -63 - 2*r**2 + p + 2*r wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 11:13 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 5*q - 71. Let v(m) = 5*m**2 - 15*m + 143. Let i(c) = 7*s(c) + 3*v(c). Calculate i(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 0*w**2 - 2*w**2 + (-w + w + 3*w)*(4 - 4 - w) + 0*w**2 - w**2 + 2*w**2 - 3*w**2 + 4*w**2 + 0*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 2*w**5 - 2*w**5 - w + 2*w**5 - 2*w**5 + w**5 + (4*w**4 - 3*w**4 - 2*w**4)*(-4*w + 0*w + 3*w) + 0*w**5 + 4*w**5 - 2*w**5 - w**5 + 3*w**5 + 0*w**5.\nAnswer: 7*w**5 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011010101001102 + -1?\nAnswer: -10011010101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*((r*r**1)\/r)\/r*r*r)**(-31)*(r**3\/r)\/r*r\/r**6)**(-23) assuming r is positive.\nAnswer: r**2944","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 2*f - 3, d = 5*f + 4. Let r be (-14)\/4*(d + 10\/(-14)). Solve r - 4 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30104 (base 7) in base 3?\nAnswer: -100221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16408 - 16404. Solve t*g = s + 2*s + 4, -5*s + 5 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107\/428)\/(1\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z. Let p(r) = 10*r + 7*r - 17*r - 36*r**2 + 160*r**2. Give p(h(q)).\nAnswer: 1116*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*s + 0)*(-2*s**2 + s - s) + s**3 - s**3 + s**3 - 26705*s**2 + 45*s + 49*s + 26706*s**2 + 5*s**3.\nAnswer: 2*s**3 + s**2 + 94*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 14*v + 3*k - 1007088 = 0, 5*v = 2*k + 1678473. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 13017?\nAnswer: 143187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 - 8 = 0. Let i be 69\/46*10\/x. Suppose -q + 0*q = -2. Solve -a + q = i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9*(4 - 31). Suppose -23*f = -20*f - j. Suppose 23 = 4*g + 5*a, -7*a - 32 = -g - f*a. Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 209\/5. Let g(h) = -h**2 - 14*h - 14. Let z be g(-12). Let y = z + -5. Which is the biggest value? (a) i (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/4)*n*n**(-8))\/(((n**(-2)*n*n)\/n)\/(n*(n\/n**(-2\/9))\/n)) assuming n is positive.\nAnswer: n**(-145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 28. Give z(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 34*p - 2 = 0. Suppose -14*u = -13*u - p. Solve -4*q + i - u*i = -22, -5*q = -2*i - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-360)*-15*-4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 692 + -708. Let x(f) = f**3 - 8*f**2 - f - 2. Let b be x(8). Let p = b - j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-2*f - 2*f + 5*f + (0*f - f + 2*f)*(-2 + 3 - 3)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 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 n be 4 - (5 + (8 - -10)). Let q(l) = -l**2 + 2*l + 1. Let p(b) = -b**2 + 2*b + 2. Let i(g) = 4*p(g) - 3*q(g). Let k be i(6). Is n at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxyi when four letters picked without replacement from {y: 3, x: 2, i: 2, b: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 201?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -3, -9, 7060?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 + f**5\/60 - 23*f**3\/6 - 43*f**2 - f. Determine y(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56993\/3 + 573443\/30. Let v = -117 + n. What is the nearest to 0 in 0.2, v, 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10788.15*0.296\nAnswer: 3193.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 6 (c) -1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.94. Let l = -0.02 - o. Let d = 0.32 - l. Which is the second smallest value? (a) -4 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000724083669 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + 6.15. Let j = 9.45 - g. Which is the nearest to -1\/6? (a) -2 (b) -2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Suppose 2*i + 3*f = -5, -10*i + 7*i - 5*f = 9. Suppose l = m - i. Solve u + 17 = 2*u - 4*r, m*u = -2*r - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**2 - 12*w**2 - 5*w**2 - 8*w**2 - w to h*w**2 + v + s*w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:04 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 3*y**3 + 2060 - 3*y**3.\nAnswer: y**3 + 2060","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13730205*k**2*x**3 - 29506*k**2*x - 47*k*x wrt x.\nAnswer: -82381230*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4532 is divided by 309.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0587838 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10148037.\nAnswer: 3, 23, 147073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 61*f**2 - 79*f - 29. Let w be y(2). What is the greatest common factor of 3287 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -847 - -839. Let q be (z - 1 - -15) + 64\/(-11). Suppose -q + 2\/11*o + 2\/11*o**2 - 2\/11*o**3 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 55 = 10*f. Solve 5*x - 13 = f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.8 - 0.2. Let y = 7.93 - -0.07. Let v = j + y. Which is the third biggest value? (a) 3 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8536163.26 to the nearest one hundred thousand.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -11?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.3 + 4.7. Let u = 20.999981 - i. Round u to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 12*z**4\/13 - 62606*z**3\/13 + 635574*z**2\/13 - 1666290*z\/13 + 260350\/13 = 0.\nAnswer: 1\/6, 5, 5207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/40)\/(-1 + 10\/4). Let m = -650.8 + 651.8. Which is the smallest value? (a) 0.8 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80002 * 1.401\nAnswer: -112082.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1476*-0.2\nAnswer: -295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24269290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/6 + 4 - -1105. Suppose -h + 2*b = -209 - 18, -3*b = 5*h - t. Suppose -7*o = -6*o - h. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10573 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119660 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120, 327, 696, 1245, 1992, 2955?\n\"Answer: 3*o**3 + 63*o**2 - 3*o + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 + 33529*g - 1208048 wrt g.\nAnswer: 6*g**2 + 33529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2 - 7*b. Let v(r) = -6*r**2 + 5*r. Let p(a) = -a**3 - 3*a**2 - a + 2. Let u be p(-3). Let q(j) = u*x(j) + 7*v(j). Let m(g) = 3*g. Give q(m(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-76 - -72) + -2 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - 9) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 3*c**2 + c**3 - 2 - 4*c**3 + 2 + (4*c**2 + 2*c**2 + 0*c**2)*(-10*c - 3*c + 7*c) as l*c**3 + k*c + z*c**2 + q and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 48 = 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 9*y**2 + y + 13. Let v be q(-9). Let k(b) = b + 3*b**2 - b**3 - v + b**2 - 8*b**2 + 0*b**3. Give k(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2182a8 (base 11) to base 14\nAnswer: 90a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1939 or -0.453?\nAnswer: -0.453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1114257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55747, -222998, -501753, -892012, -1393775, -2007042?\n\"Answer: -55752*l**2 + 5*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**3 - t**2 - t - 1. Let v be a(-1). Suppose v + 15 = 3*x. Differentiate -7*o**4 - 9*o**4 + 8*o**4 - 6*o**4 + x with respect to o.\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1185627 and 0.5?\nAnswer: -592813.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1142\/(-19414))\/(-2*(-1)\/2).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 - s + 2. Let y be -1 + 24\/(-3) + -1. Let u(a) = -a**2 - 10*a - 5. Let g be u(y). List the prime factors of o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**4*s + 5*g*s**3 - 100*s**3 with respect to g.\nAnswer: 4*g**3*s + 5*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.69 - -0.69. Let s = -78 + 388\/5. What is the closest to s in f, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4269 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11217.643 + -418?\nAnswer: 10799.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 967200 and 5803200?\nAnswer: 5803200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.8699 + 18.9. What is z rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*z**2 + 326*z**2 + 330*z**2 + 313*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52723936 and -0.5.\nAnswer: 52723935.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287080 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.833, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 376 + -369. Solve -4*b - 1 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 26. Let w(q) = 262*q**2 + 262*q**2 - 523*q**2. What is w(v(t))?\nAnswer: 16*t**2 - 208*t + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 108a4?\nAnswer: 10904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14986?\nAnswer: 2, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2810*w + 3503*w - 74*w - 752*w to h*w + p and give h.\nAnswer: 5487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 - 5*r**2 + 5*r + 38. Let x(g) = 4*g**3 - 4*g**2 + 4*g + 39. Let z(v) = -5*i(v) + 6*x(v). Is 20 a factor of z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (9 - 6 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 364*b - 24 + 76 + 10 as d*b + l and give d.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 + 0*h**2 + 0*h**2)*(-229 - 140 - 13).\nAnswer: -2674*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -2041302?\nAnswer: 2041244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/3, -6\/13 in increasing order.\nAnswer: -6\/13, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 1. Let p be w(-3). Let g be (5 + p)*-1*1. Is (8\/(-3))\/(3\/g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2791344 and 6000.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 + 1001220101?\nAnswer: 1001221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -151*r**4 - 439*r**4 - 608*r**4 + (-4*r**2 + 0*r**2 + 3*r**2)*(-3 + 3 + r**2) + 0*r**4 - r**4 + 2*r**4.\nAnswer: -1198*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (15 - -106 - 26).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3790*i*o**2*v**3 + 2*i*o**2*v**2 - 35*i*o*v**2 - i*v + o*v**3 + 6*v wrt o.\nAnswer: -7580*i*v**3 + 4*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j - 2*j + j**2 + 17*j - 7*j. Let m(h) = h**3 - 9*h**2 + 2*h - 13. Let i be m(9). Calculate the smallest common multiple of 10 and z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 14 - 15) + 0 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 0 (c) 141 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78285, 78307, 78331, 78357, 78385, 78415, 78447?\n\"Answer: v**2 + 19*v + 78265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/(-24) - -4*(-6)\/(-36) and -51\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1767*a**3*l**3 - 14375*a**3 - 3*a*l**3 + 2*a*l wrt l?\nAnswer: 10602*a**3*l - 18*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634454661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v - k, 5*k = -2*v + 4*k + 10. Suppose 0 = -v*c + 23 - 67. Let o = c + 38. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 3*y - 3*y + (-4*y + 5*y - 5*y)*(3 - 6 + 1) + 30*y + 0*y + 64*y.\nAnswer: 104*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + y)*(-1 - 5 + 3)*(132 - 29 - 13).\nAnswer: 270*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u**3 - 3185*u**2 - 160550*u - 2471625 = 0.\nAnswer: -65, -117\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05411663 and 47?\nAnswer: -2.54348161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 4:23 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127\/86 + -1\/43. What is the third biggest value in 1\/8, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2548 or 2531?\nAnswer: 2548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 218 + 232 = 0. Let c = 2 + -1. Suppose 3*s - 7*m = -3*m + 8, s - 3*m = 6. Solve v - g - c = s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -294.18 and -2.\nAnswer: -296.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {n: 1, i: 1, y: 8, j: 4, d: 6}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-22)*((-63)\/(-9))\/21?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1132\/191 + 3*-2. Let c = j - 6629\/764. Find the common denominator of -3 + 3 + (-82)\/(-64) and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*t + 22*t - 18*t**4 + 10*t**3 - 9*t**3 - 34*t**3 + 3*t**5 + 180*t**2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:55 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/20*1220\/305?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -21, -89, -225, -453, -797, -1281, -1929?\nAnswer: -2765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 2447, 542 in decreasing order.\nAnswer: 2447, 542, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - p + 13. Calculate t(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -8241.9712108192.\nAnswer: -8238.9712108192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7813 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(100)\/(sqrt(10) - (sqrt(10) - (sqrt(30)\/sqrt(3) + sqrt(10)))) - (sqrt(60)*-1)\/sqrt(6)))\/((sqrt(480)*-2)\/(sqrt(6) + sqrt(18)\/sqrt(3)*5)).\nAnswer: -27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 1 - (-24 - -13) - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -692, -689, -686, -683?\n\"Answer: 3*o - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 74. Suppose 0*r - 112 = -o*r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 220\/6 - 437\/(-1311). Let h(g) = g**3 - g**2 - g + 1. Let d be h(2). Solve t = 4*n - 5*b, d*n + 4*b + 8 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/2 - (1 + -1). Let j(g) = 16*g - 20. Let l be j(2). Let y be (l - 5) + q\/(-2). Solve -p + 4 = -y*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*j + 15, -j + g = -0*j - 9. Let h be (48\/8 - 8)\/(4\/426). Let n be -5*(h\/(-60) - 3)*-32. Calculate the greatest common divisor of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*c**2 - 554*c**3 - 10*c**2 - 7 + 556*c**3 with respect to c.\nAnswer: 6*c**2 - 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 11*g - 57. Let q be r(-15). Let m(u) be the first derivative of -40*u**q + 0*u - 5\/6*u**6 - 55\/2*u**4 + 6 - 8*u**5 - 45\/2*u**2. Factor m(j).\nAnswer: -5*j*(j + 1)**2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuouwbwu. Give prob of sequence ob.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkikkkkkk. Give prob of sequence ikk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7930)\/(-1716) + (-2 - (-1 - -2)) and -83\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 0*x - 8*x. Let n(s) be the second derivative of s**6\/360 + 5*s**3\/6 + 2*s. Let m(b) be the second derivative of n(b). Give v(m(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 4*q + 0*q**2 + 0*q**3 + 1 + 0*q**4 - 4\/5*q**5. What is the derivative of f(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.07 (c) -11\/6 (d) -0.4 (e) 3 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-12)*(-6)\/(-2). Suppose -3 = -3*j - 126. Let p = 4 - j. What is the greatest common factor of p and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + z + 11 = 0, 146*z - 141*z - 13 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3534 - 153?\nAnswer: 3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let t(h) = 2 + 24*h**2 - h**2 - 7*h**2 + 6*h**2. What is b(t(v))?\nAnswer: -484*v**4 - 88*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-116 - ((541 - 551) + (1 - -32))).\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2658, 23900, 81540, 193776, 378806, 654828, 1040040?\nAnswer: 1552640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465369 is divided by 1465361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2\/3, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*p + 2 - 8 = 0, 4*p - 8 = 5*t. Suppose -2*w + 49 = -0*s + s, w = t. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a)*(-a**2 - 1 + 1) + 0*a**3 + 4*a**3 - 2*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*a + 790*a - 411*a - 13*a**3 + a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 20*o - 33. Let t be h(-18). Let k = 0.098 + -0.498. Which is the third biggest value? (a) k (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -561424.\nAnswer: -1122848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + 4*t - 1. Let o(z) be the third derivative of z**5\/15 + 5*z**4\/24 - z**3\/6 - z**2 + 7. What is 5*a(k) - 4*o(k)?\nAnswer: 4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*z - 6 = 0, 5*o - 6*z + 36 = -3*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.19999804 + -1.2. What is k rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1667559 * 0.05\nAnswer: -83377.95","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-18) - (-4)\/2. What is the third smallest value in j, -4, 2, -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8*l - 15. Is n(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102396 divided by -25599.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156632153 + 1?\nAnswer: -156632152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/169378980 and -173\/237130572?\nAnswer: 1185652860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.7, -148.763, 2 in decreasing order.\nAnswer: 2, -7.7, -148.763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -137113379?\nAnswer: -137113379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -485, -514?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 200 in decreasing order.\nAnswer: 200, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = -5*u - 4, 3*f - 20 = 2*u. Suppose 0 = -m + f*m - 12. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 76*g**2 - 84*g - 432. Give t(-77).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:26 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 13*b**2 - 18*b**3 + b**3 + 23*b**2 to c*b + w + o*b**2 + r*b**3 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 + 12*s + 11. Let z(n) = -n - 1. Let g(a) = w(a) + 6*z(a). Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0879 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/57, 1\/13, -1, -4, 2.3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - j**3 + 9*j**2 - 4*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 19640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 336, 338, 340?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3937, 7864, 11779, 15676, 19549?\nAnswer: 23392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 3*n + 5. Let g be p(3). What is the smallest value in 0.1, 20, -2\/19, g?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -3\/10, 1482, 0.1 in descending order.\nAnswer: 1482, 0.1, -3\/10, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -546 - -555. Suppose -u + 4*k = -255, -3*u - c*k + 850 = -4*k. What is the remainder when u is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73837199 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0.21 (c) -1 (d) 13 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 10. What is c(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 5640 = -43*t + 5568 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaxax. What is prob of picking 3 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17040*m**2*v**2 - 20*m**2 - 11*m*v - 51118*v**2 wrt m.\nAnswer: 34080*v**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -10, 11?\n\"Answer: 21*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 + 114 = 26*s. Let n be 13 - 20 - (-417)\/s. Put -0.5, n, 2 in increasing order.\nAnswer: -0.5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88237.\nAnswer: 88237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 - 5. Let l = 0.7 - -0.8. Let c = l + v. What is the biggest value in 0.1, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 132. What is the highest common divisor of 44 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 18 = -12. Solve -l*z - k - 4*k - 10 = 0, 2*z + 4 = -4*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.502, -1\/9, -4, 0.1?\nAnswer: -0.502","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1816575 - 2*t**2 + 3633050 - 1816475.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 + -104. Let k = 66.08 - j. What is k rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 2*i**2 + 6*i**2 + 63*i - 1 - i**2 - 58*i to the form y + j*i**2 + o*i and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 4 + 4 = 0. Let w be 2*(-13 + 1)*18\/(-54). Let f = -2 - -6. Solve f*u + x = -x + 6, -2*u + 4*x + w = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from ttonint?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 10 + c**2 + 13 + 35*c + 1 - 10*c = 0. Calculate c.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55742 + 55742. Let s = 0.1 - 7.1. Which is greater: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.74 take away 11825?\nAnswer: -11822.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:29 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*k**5 + 529*k**4 - 628*k**2 - 25?\nAnswer: -25320*k**2 + 12696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*k - 16 = -4*l, 45*l - 5 = 69*l + 4*k - 101 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1 - sqrt(70))*4 + sqrt(70)*1*-1 + sqrt(70))\/(6*3*sqrt(640)*-2).\nAnswer: sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 + 4. Suppose 2*j - h = 2. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/((2\/(-21))\/((-40)\/70))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.0279, 5, 0, -0.2, 0.6, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + o = 2*z - 1066, -4*o + 1056 = 4*z. List the prime factors of z + 3 - (0 - 4).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -7\/2, 2\/27, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -5 + -1 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 50*m**2 - 3*m + 10. Let d(k) = -50*k**2 + 4*k - 14. What is -2*d(w) - 3*j(w)?\nAnswer: -50*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(75) - (sqrt(75)*-1 + 2)))**2 + -2*(-3*(sqrt(243) + -1) - sqrt(243))*-6.\nAnswer: -1232*sqrt(3) + 6116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -6, -5, -3, -537 in increasing order.\nAnswer: -537, -6, -5, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -547346*c + 6568152. Calculate q(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + (314 - 312) + -23.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303\/(-38885)*917\/(-1179).\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 10*q + 31 = -0*q. What is the remainder when 550 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13097672.6 rounded to the nearest 10000?\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33300 (base 5) in base 3?\nAnswer: -10012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = m + 2*u, 5*u = 3*m + 10. Suppose m = 2*y + y + 297. Let x = y - -791\/8. Is -1\/4 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 66*g**2 - 14*g. What is the remainder when 555 is divided by k(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25452 + 25456. Let d(f) = -6*f**3 - f**2 + f. Let m be d(1). Let o(j) = -j - 1. Let p be o(m). Is c <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138166.6 decades in years?\nAnswer: 1381666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 414839429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**3 - 3*j**3 + j**3)*(-6*j + 3*j - 2*j + (1 - 8 - 2)*(-j + 0*j - j)) as d*j**2 + k + o*j + t*j**4 + x*j**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 24311082.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*f - 5515, -5*d - f = 4*f - 13800. Suppose -6*g + d = 203. List the prime factors of g.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2514419um?\nAnswer: 0.0002514419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 + 7*w - 1. Let a be n(6). What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 567*b - 4535. Give t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and -2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 66*n**2 - 112*n - 1701. What is c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 15*m**2 + 16*m + 35. Let u be z(-14). Suppose -13933 = -u*q + 18358. Suppose 0 = 13*x + 999 - q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -448*y - 1. Let r(o) be the first derivative of -5*o**3 + 8226. Give v(r(c)).\nAnswer: 6720*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 290, 326, 362, 398?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*a - 35. Let m be 2\/7 - 68\/a. Suppose 4*z - m = 5*j + 27, 3*j - 22 = -z. Calculate the remainder when 50 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/2)\/(-48) + (-159)\/636.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 649300 and 103586.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 11124960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7280 and 0.3626.\nAnswer: -2639.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -38*p**2. Let l(s) be the third derivative of -s**5\/15 + 402*s**2. Give l(k(u)).\nAnswer: -5776*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14543703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by -1.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1300188 + -a?\nAnswer: -1300197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 56. Let x = w + -24. Let o = 0.2 - 0. Which is the nearest to o? (a) -0.5 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**7\/14 + 28*d**6\/15 + 43*d**5\/4 + 45*d**4\/2 + 26*d**3\/3 - 28*d**2 - 1018*d. Solve g(t) = 0 for t.\nAnswer: -14, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1981335553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 33*h**2 - 37*h + 2. Give d(34).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32*q - 674. Give p(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -26 - -114) + 19 + -1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:18 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651.5 - 646.5. Is o greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25332427.\nAnswer: 197, 128591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128.9 + -123.9. Put -0.4, -1, q, 15 in increasing order.\nAnswer: -1, -0.4, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 - 71. Suppose q + 5 = 2*v - 21, 5*q + t = -4*v. Let c = 0 - q. What is the greatest common divisor of c and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43604169 and 9?\nAnswer: 130812507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1604430*w**4 - 3869*w + 105 wrt w.\nAnswer: 19253160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 293*h + 322137. What is the highest common factor of 189 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564937 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 106*n**2 + 27*n + 9. List the prime factors of z(-4).\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = 3*h, 0 - 4 = 2*h - 2*t. Let f = -0.7 + 4.5. Let z = f + 0.2. Which is the second smallest value? (a) h (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + -0.5. Let h = -3 - o. Let j = -3553786\/255 - -209048\/15. Put j, 1\/10, h, -2\/15 in increasing order.\nAnswer: h, -2\/15, 1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. Let c = -6.9 + j. What is the nearest to 1 in -2\/7, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -0.26. Let k be (-9)\/(99\/(-20)) - 2. Which is the closest to k? (a) 1\/8 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (65\/390)\/(1\/378)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2497 or 2495?\nAnswer: 2495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*x - 10, -32 = b - 4*x - 34 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2118, -4235, -6352?\n\"Answer: -2117*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(5\/4)*c*c**(-15))\/(c**4)**(16\/3))**(-30) assuming c is positive.\nAnswer: c**(2045\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2004\/(-6072)*-12. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31041184.\nAnswer: 2, 17, 43, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 2*d + 144 = 0. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 6. Suppose -3*o - 2*u + 18 = -u, -5*o = -4*u - 47. Let b = 13 - o. What are the prime factors of h(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148519475.\nAnswer: 5, 13, 149, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -150*b + 908. Calculate the least common multiple of 502 and n(6).\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47176 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f - 62. Suppose 0*h - i = 2*h - f, 30 = 2*h + 2*i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141651*f + f**3 - 5*f**4 + 141651*f + (2*f - 2*f + f**2)*(f**2 + 3*f**2 - 3*f**2).\nAnswer: -4*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b + 7*b - 8326. Let q = -358 + b. What is the greatest common divisor of 16 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39323*d*v**2 - 284*d*v + 10*v wrt v?\nAnswer: 78646*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -134386 * -5\nAnswer: 671930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(2*y - y - 2*y + (-2*y + 0 + 0)*(2 + 2 - 2) + 7 - 7 + 17*y)*(0 - 7*y**2 + 2*y**2 + 2).\nAnswer: -360*y**3 + 144*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(216))\/sqrt(2) + -1 + -4)**2*3.\nAnswer: -180*sqrt(3) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*0\/4. Solve -3*j + a*j + 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2804356 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 76. Factor 2 + 3*u + z*u**2 - 21*u + 10*u**2 - 32*u**3.\nAnswer: -2*(u - 1)*(4*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (4 - -4 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m**4 - 69840*m**3 + 7565882*m**2 - 8334260*m + 1479200 = 0 for m.\nAnswer: 2\/9, 8\/9, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2507.06 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2576\/17 + -112484\/119. Which is greater: i or -793?\nAnswer: -793","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w + 3. Let z be o(3). Suppose k = t + 2, 8 = 2*t + k - 0*k. Let v(l) = l - 2. Let c(r) = -3. Calculate t*c(d) + z*v(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 6. Let o(l) = l + 1. Let i(s) = -j(s) + 5*o(s). Let g be i(2). Let b(x) = 7*x - 3. Is 6 a factor of b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v - 5170*v**2 + 5195*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {w: 6, f: 4, d: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -s, 0 = 3*l + s - 32. Suppose 5*h + l = 0, -5*o + 9*h - 4*h + 10 = 0. Let v(a) = -2*a**2 + o*a - 2*a - a**2 + a**3 - 3. Determine v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2. Let p(z) be the third derivative of -z**6\/90 - z**3 + 8*z**2. Let j(a) be the first derivative of p(a). What is j(w(k))?\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 257237 (base 14) in base 10?\nAnswer: 1287377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:43 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 10. Suppose -u = 2*j + 14, -27 + 1 = 4*j + 3*u. Let z be t(j). Suppose -2*a + 20 + 10 = -z*k, -4*a + 68 = -2*k. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + 2*y**2 + 2*y + 4. Let f = -534 - -525. Let j(i) = -15*i**3 + 9*i**2 + 9*i + 17. Calculate f*r(s) + 2*j(s).\nAnswer: 6*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = h. Let j = 20 + h. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 4)*(-2*n + 6*n - 3*n)*(-2*n**2 + 3*n**2 - 3*n**2).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0403074 minus 257951?\nAnswer: -257951.0403074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237003?\nAnswer: 3, 13, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280505 is divided by 4831?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 12 = -9*n. Suppose -n*p = 3154 - 7949. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 20*r + 7*r**2 + 3 + 5*r**3 - 11*r**2 - 4*r**3 in the form t*r + i*r**3 + d + j*r**2 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51712*f**6*q - 3804*f**3*q + 227*f**2*q + 4030*f*q + 308 wrt f.\nAnswer: -6205440*f**3*q - 22824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 14 + 41 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + (-9119)\/99 - (-2)\/18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -722.8 + 749.8. Let z = 27.559 - 0.159. Let x = y - z. Put -0.3, 4, x in increasing order.\nAnswer: x, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 1.01. Let n = w - -1.1. Let o be 2\/(-5)*(-2)\/(-4). Do n and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21804 + -0.2\nAnswer: 21803.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78361767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**4\/8 - 11*q**3\/6 - 9750*q**2. Let h(v) = -3*v + 11. Calculate 5*c(m) + 4*h(m).\nAnswer: 3*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - j + j)*(75 - 1201758*j - 1201783*j + 2403691*j) to v + i*j + a*j**2 and give i.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 5*k - 4*k. Let y(n) = -3 + 4 + 2 + 3 - 8*n. Let j(u) = 15*u - 11. Let r(d) = 6*j(d) + 11*y(d). Give q(r(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36b23c (base 14) in base 9?\nAnswer: 3466416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91899955?\nAnswer: 5, 7, 653, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 15. Let v be c(13). Let q(m) = 4*m - 3*m + 2*m + 8 - v*m. Determine q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 13*c**2 + 11*c + 6. Let n(i) = -i**3 - 7*i**2 - 6*i - 3. Let a(s) = -2*l(s) - 5*n(s). Let z be a(-8). Solve -d = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, -0.4, -0.1, -3130, -0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 47811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 15) to base 10\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 + 2. Let l be (14\/42)\/((-2)\/(-48))*-1. Let x be l\/20*(2 + -7). What is t(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/13, 0.5, 2\/23?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 1\/30*c**5 + 0*c**4 - 17*c + 0*c**3 + 2*c**2 + 0. Let n(l) = 155*l. Give n(p(s)).\nAnswer: 310*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6246094 - -12.7.\nAnswer: 6246106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 14*w)*(69 + w - 69)*(9 + 2 + 6) to the form v*w + q*w**2 + l and give q.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7*z = 5*z + 24, 0 = -11*z + 165 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11c (base 15) to base 7\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310152 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o + 35*o - 15*o - 556187186 + 556187186.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - j**2 - j. Let w be r(-1). Solve -1 = -w*o + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 9. Let i(q) = -q**3 + 4*q**2 - 3*q + 6. Let x be i(4). Let k be v(x). Solve -13 = k*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 84*z\/5 - 83\/5.\nAnswer: -(z - 83)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**1\/d))\/d*d\/(d\/(d*d**(-9)*d)*d*d))**(-2\/105) assuming d is positive.\nAnswer: d**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*h = -591 - 11441 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74312214 or 74312216?\nAnswer: 74312214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 9*p + 10. Let g be a(-7). Let t = g + 4. Let b(l) = 13*l - 42. Let i be b(3). Sort t, -2, i in decreasing order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36455, 36411, 36285, 36035, 35619?\n\"Answer: -7*q**3 + q**2 + 2*q + 36459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = m. Suppose m = -15*k + 6*k + 36. Let o be (k + -2)\/((-3)\/(-6)). Solve -g + o*l = 2, 0 = g + 2*l + 2*l + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 13043?\nAnswer: 13038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 2, t: 8, r: 5}. What is prob of picking 1 n and 2 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 57*t**2 + 21*t - 14. Let z be o(-11). Suppose 3326 = 2*f + b, f + 3*f - z = -3*b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f**5\/2 - 234*f**4 + 2031*f**3\/2 + 11910*f**2 + 14262*f + 4560 = 0. Calculate f.\nAnswer: -19, -5, -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-2 + 3)*9. Suppose 3*g + 56 = 4*z - 5*z, 5*g - 5*z = -60. Let m = y - g. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63099 is divided by 15719.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2185709640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 11*k**2 + 12*k - 10. Let d be t(-11). Let u be d\/(-6) - 4\/6. Let i = u - 20. What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 520422890.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*m - m - 5 = 0, -4*m = 4*w - 4. Solve -o + w = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 31. Calculate the common denominator of (-4)\/x + (-211)\/(-40) and ((-1)\/(-2))\/((-702)\/26 - (-2231)\/83).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**5\/4 - 5*c**4\/6 - 5*c**3\/6 + 24*c - 32. Let t(g) be the first derivative of b(g). Factor t(n).\nAnswer: -5*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 g when four letters picked without replacement from jggjgjjggggjjgjjgjgg.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5141407 (base 9) to base 7\nAnswer: 32214466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*b + 18700 = 0, 2*b - 1235 = -y + 3427. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 26*z - 2*z - 2 + 14*z - 11*z - 11*z.\nAnswer: 10*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -631*y**4 + 7*y**3 + 32*y + 30. Let w(v) = -316*v**4 + 3*v**3 + 16*v + 13. Let x(g) = 3*q(g) - 7*w(g). What is the second derivative of x(f) wrt f?\nAnswer: 3828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96126493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 5*r + 9. Let x be k(-6). Calculate the least common multiple of (-4 + -1)\/(x\/(-30)) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3916274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-3\/16)*(z**(3\/19))**(35\/6) assuming z is positive.\nAnswer: z**(127\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 - 11*t**2 + 34*t - 7. List the prime factors of u(5).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d + 3. Let m be f(4). Suppose 0 = -4*h - 5*w + m, -h = -2*h - 2*w + 14. Find the third derivative of h*r**2 - 2*r**3 - 2*r**3 - 9*r**2 wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/17, -406.3, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/3 - 75020*i**2\/3 + 41229092*i\/3 - 1861414364.\nAnswer: -4*(i - 269)**2*(i + 19293)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*i - 3*i + 29 = 0, 7*n = 9*n + 4*i - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 + u - 2. Calculate the lowest common multiple of 8 and a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 326*u - 860. What is the remainder when f(89) is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1505 + 1516. Let i(p) = -p**3 - 4*p**2 + 8*p - 3. What is the remainder when i(-6) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011010100011110 + 100?\nAnswer: 11100011010100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q. Let z(a) be the first derivative of 2*a**2 + 62. What is b(z(m))?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2827187986 to the nearest integer?\nAnswer: 53171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(78)*3 - sqrt(78))\/sqrt(6) - sqrt(13)) + (sqrt(13) - ((sqrt(39)*1)\/sqrt(3) - sqrt(13)))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 10*b + 898. Round b to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 9*k**4\/4 + k**2\/2 + 3. List the prime factors of u(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83406189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110010 + 10011001010000101?\nAnswer: 10011001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 - 166. Suppose 2*x - j*w = 6, 5*x + 0*w = 2*w + 15. Solve -1 = -r + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1592134 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 13*p - 1. Suppose 123*w - 129*w = -114. Calculate the remainder when j(-9) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*i = -3, c + i - 27 + 24 = 0. Let k(z) be the third derivative of z**5\/10 + z**4\/12 - z**3 + 3*z**2. What are the prime factors of k(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493913.88 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1972296 and -119\/108.\nAnswer: 1972296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgqmmgmbqjjbjmvqvvqv. Give prob of sequence gm.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 4451?\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = z - 1, z + 6*s = s + 9. Let m be (-119)\/(z\/(-25008)*-1). Suppose 2*o = -m - 14824048. Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (-6)\/(-8) + 2286\/24 + -7?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2005 + 2005. Factor -1\/2*a**5 - 2*a**2 + 0*a**3 + 3\/2*a**4 + d*a + 0.\nAnswer: -a**2*(a - 2)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 9:18 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 24*m + 5. Let q = 75 - 51. Calculate the smallest common multiple of v(q) and (-6)\/(-21) - 54\/(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 36996?\nAnswer: 258972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 79 + 261. Suppose a = 3*x - 5*i, -5*x + 9*i - 4*i + 50 = 0. Calculate the lowest common multiple of x and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/10? (a) -2 (b) 1\/4 (c) 2 (d) -4\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3121313022 (base 4) to base 2.\nAnswer: -11011001110111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25667.96 + -25668. Let h = 0.73 - -0.07. Is u smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 45 = -4*a, -99*k - 5*a = -99*k - 75 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/(-42)*(644\/(-276))\/((8\/3)\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34452 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*b - 9 + 25\/4*b**3 - 205\/4*b**2.\nAnswer: (b - 9)*(5*b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -0.2261, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774904, -774892, -774878, -774862, -774844, -774824, -774802?\nAnswer: -774778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -128, -253, -378?\n\"Answer: -125*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 55315669*d\/2 + 3059823236917561\/4.\nAnswer: (d - 55315669)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54069 is divided by 6756.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146754 by -4734.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 3*k**2 - 2*k + 12. What is f(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a - 2506790 - 9558671 = 4079483. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -762 - -681 - (-135 - -9).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19030 - 10854 = 918*v - 9688 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 12*t - 176 = 0. Let h(l) = -l**2 + 10*l - 2. Let q be h(4). Calculate the highest common factor of q and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from mppcmpnppcmnnop.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)\/(j*j\/j**(-2\/7)*j))**(-2\/99)*(j*j\/(j*j*j*j**(-4\/5)*j)*(j*j*j*j\/j**(-7))\/j)\/(j**(2\/3)\/j)**11 assuming j is positive.\nAnswer: j**(14429\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1074 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (808\/(-303))\/(3*18\/(-567)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10030 - 5159. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22*w**2 - 25739*w + 51386. What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 420, 938, 1456?\n\"Answer: 518*o - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/5)\/((-17)\/(-255)). Suppose -3 = n - o*h, n = 4*h - 5*h - 3. Let m = -5 + 0. Which is the closest to 0.1? (a) m (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 12*u + 24 + 39*u**2 - 75*u**2 + 18*u**2 - u**3 + 3*u**4 - 2*u**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1085515 and 516917?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q + 1. Let s(a) = -4*a**2 - a. Let k be s(-1). Let r = q - k. Solve 6*m = 2*m + 4*d - 24, r*d = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d - 60*d - 168*d - 51*d + 305*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/4 - 1975*f**4\/4 + 349865*f**3\/4 + 713575*f**2\/4 - 530733*f\/2 = 0.\nAnswer: -3, 0, 1, 199, 1778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*v = -2*w + 30, 5*v + 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/2 + 1625415*n - 3250832 = 0?\nAnswer: -3250832, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89795 is divided by 44875?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -557*a**2 + 19628*a + 19627. Calculate l(-1).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven quarters of a year?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897534627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/89 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(52)\/sqrt(4)*-4)**2*-6.\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1691\/6 (b) -5 (c) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5869172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 193*c + 125. Let q be r(-38). Let z(n) be the first derivative of 0*n - q + 1\/2*n**4 - 4\/3*n**3 + 0*n**2. Find t, given that z(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - x + 4121 + 44129 = 0, -4*j + 5*x - 48258 = 0. Let o = j - -21762. Round o to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/12 + 4*l**3\/9 + 5*l**2\/6 + 277. Factor o(f).\nAnswer: -f*(f - 5)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368449615 to the power of 1\/2, to the nearest integer?\nAnswer: 19195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227446955 and 925.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 23. Suppose -c - 3*c + 36 = 0. Suppose 13*z - 8 = c*z. Let j(d) = -2. What is z*v(k) - 22*j(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -2*t. Let s = -1261 + 1271. Solve -5*p + t + s = f, 5*p - 2*f = 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 + 3*z - 1. Let j(w) = -7*w**3 + 5*w - 2. Give 6*j(n) - 11*m(n).\nAnswer: 2*n**3 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/12*a**4 - 2*a - 17\/2*a**2 + 3*a**3 + 5. Factor n(g).\nAnswer: -(g - 17)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 4) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3588.529 + 3580. Let t = 0.029 + v. Let n = -8.4999985 - t. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/135*(-1)\/(-1)*-10. Suppose -u*h + h - 4*r = -12, -5*r = 3*h - 9. Let o be ((-96)\/9)\/(h\/(-12)). Calculate the greatest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-4))\/(6\/(-80)). Suppose i = -0*i + 16. Suppose -i*x + 14*x = -40. Calculate the highest common factor of x and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2192*8910.\nAnswer: -19530720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.2. Let d = -0.9 + j. Let b = d - -0.9999. What is b rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22578?\nAnswer: 2, 3, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9502 = -30*v + 10012 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31766*t - 31028*t + 124240*t - 31459*t - 31251*t.\nAnswer: -1264*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.8 - 8.4. What is the closest to 0 in w, 2\/19, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - l**3 - 69*l**2 + 69*l**2 - 2 - 29 + 2*l as v*l**3 + s*l + j*l**2 + y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101002 (base 3) in base 15?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 + 4*x - 4. Let m be d(4). Let k(v) = -39*v - 232. Let h be k(-6). Suppose 2*n = 3*z + 7 + 9, 0 = -z + n - 4. Sort m, h, z.\nAnswer: z, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -217*v - 79*v + 53*v - 1701 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k - 1690 = -81*k. What is the remainder when k is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oow when three letters picked without replacement from {w: 2, o: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n**2 - 15*n**2 + 9*n**2)*(1 - 1 + 2)*(2*n - 5*n + n).\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose 5*s - j + 16 = 0, -o*s + 7*s + 36 = -4*j. Let b = -8 - s. Let w(t) = -t**2 - 4*t + 1. What is w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/(6\/27). Let r(u) be the first derivative of -2\/9*u**g + 0*u + 2 + 0*u**2 + 1\/12*u**4. Factor r(x).\nAnswer: x**2*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = 0. Suppose 2*k + 4*k + 78 = z. Let c(q) = -q**2 - 12*q + 13. Let o be c(k). Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 + (-2 - -2) - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8062 and 0.072.\nAnswer: -580.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*x - 1932 = -84*x. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r - 31. Let a(k) = k**2 - k - 31. Let l = 1 + -4. Let t(q) = l*a(q) + 2*z(q). What is the remainder when t(0) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u - 13. Let q be w(-4). Suppose -q*t + 205 = -10*t. Let f(s) = -s**2 + 10*s - 2. What is the remainder when t is divided by f(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = t, 5*h - t - 5*t = 34. Let x(y) be the second derivative of 0 + 37\/6*y**3 + 16*y**h + 21*y. Differentiate x(n) wrt n.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -429*c + 6254. Give l(15).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (702\/(-48))\/((-678)\/3616).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or -1389019?\nAnswer: -1389019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 1. Let v be j(-1). Suppose -d = d + v. Let u be -1*3*(-3)\/(-9). Is d <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/2315430 and -35\/7100652?\nAnswer: 106509780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*b**2*u**3 + b**2*u + 49*b*u**3 + 11*b*u**2 + 7*b*u - 2888*u**4 - 12058*u**2 wrt u?\nAnswer: -108*b**2 + 294*b - 69312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5741819 - -26.52.\nAnswer: -5741792.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 p when three letters picked without replacement from {o: 3, p: 4, f: 1, c: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/(-14) - (-16)\/56. Suppose h*a = 3*a + 6. Solve t = -2*t - 2*l + 23, -a*l + 28 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 340 + 108?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61177266 to the power of 1\/2, to the nearest integer?\nAnswer: 7822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, a: 9}. What is prob of picking 1 a and 2 h?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -255*w - 15966. Calculate m(-63).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1579.6 and -0.1874275?\nAnswer: 1579.7874275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 9, d: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*j**2 - 91*j**2 + 115*j + 47*j + 75*j - 61*j**2 - 72*j**2.\nAnswer: 7*j**2 + 237*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkgkskgkgkk. Give prob of sequence sk.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -4467, -14995, -35433, -69069, -119191, -189087?\nAnswer: -282045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5 - 575*v**4 - 6249*v**3 - 25461*v**2 - 45738*v - 30456 = 0?\nAnswer: -564, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) - (-4)\/(-1188)*-93. What is the nearest to 0 in f, 1, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 240*r + 484. Let j be s(-2). Solve 2*g + 3*c - 2 + 11 = j, 0 = 3*g + 5*c + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(4 + 2 - 3)*(23*r**5 + 47*r - 47*r).\nAnswer: -138*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29806 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 4:06 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 46 = -2*p, 2170*p = 2169*p for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 - 373*w + 87. Let t be r(62). Solve -t*z + 105 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 6:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 1. Let m(f) = 2*f**3 - 2. Let j(x) = -5*x**3 - x**2 - x. Let s be j(-1). Suppose -3*t = 5*p - 23, s*t - 2*t - p = -1. Give t*m(n) + 2*v(n).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6828 and -146.\nAnswer: -6974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 - 11*n + 11. Let b be j(-6). Solve -2*q - b*o + 27 = 0, 11 = q + 6*o - 4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**11)*u)\/u**(-1\/9))\/(u\/u**(-7)*u**4*u))**(1\/26) assuming u is positive.\nAnswer: u**(-4\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2. Let s be 2\/(-1) - -7 - (1 + 0). Let j(n) = -41 - n**2 - n**2 + s*n - 4*n. Determine j(p(q)).\nAnswer: -18*q**4 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - 10\/(-4). Let v be 25\/i - 1\/(-2). Let j be 3*65\/45*3. What is the greatest common factor of j and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/14)\/((-10)\/70). Suppose -14467 = -37*m + c*m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 12561*j - 4179*j - 11 - 4183*j - 4175*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 30. Solve 5*t + 25 = -5*h, 5*h + 3*t = h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816 (base 10) to base 6.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35726 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34634, 34638, 34642, 34646?\n\"Answer: 4*d + 34630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g + 4 = 4. Solve g = 4*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 16*a**2 - 96*a + 536. Give i(-22).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 4\/5, 0, 0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44442830*r + 88885671*r - 44442841*r + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14813, -2\/7, 3\/2, 2\/7 in increasing order.\nAnswer: -2\/7, 0.14813, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35854 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 3*p**2 + 2*p - 3*p**2 - 4*p**3 + 5*p**2 - p**2 to v + r*p**2 + m*p**3 + h*p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 - -4) - -5 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11647 and 3547431?\nAnswer: 67401189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose o - 13 = -5*c, t*c + 2*o - 10 = c. Suppose -49 = -c*g - 3. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -1. What is the remainder when 23 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 12}. What is prob of picking 2 z and 1 l?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 106*d**2 - 147*d**2.\nAnswer: -254*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-21) - 26\/91. Let o = 36 - 34. Let r = 3 + o. Which is the third smallest value? (a) r (b) l (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 6)*(2*j - 2*j - 2*j + (-5 - 3 + 4)*(0*j - 2*j + 5*j)) + 2*j + 1 - 2*j - 2*j.\nAnswer: 54*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-1 + (-7455)\/10). What are the prime factors of q\/5 - 57\/95?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*r + 25 = 0, -8*h + 4*r - 24 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - b + 1. Let o(x) = x**2 + 5*x - 7. What is -6*a(f) - o(f)?\nAnswer: -7*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:15 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/30 - 14\/(-12). What is the closest to 8 in a, -2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y - 5 = -c + 76*y, -20 = -2*c + 4*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + 0 + -1 + -187 + 894 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -58. Let s = 98 + k. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 37*r**5\/20 + 33*r**2\/2 - 19*r. What is the derivative of o(b) wrt b?\nAnswer: 111*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 742758.6 decades?\nAnswer: 7427586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - r - 6 = -0*h, -h + 6 = r. Let p(d) = -6*d - 1. Let x(c) = -1 - c + 2*c - 4*c - 4*c. Give h*x(m) - 5*p(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-6) + (-2)\/(-3). Sort w, 1, -2.\nAnswer: w, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0168011 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = -6. Let i(m) = -2*m**2 + 0*m**2 - 3*m**2 + 4*m + 6*m**2 + 10*m**3. Let b(y) = 9*y**3 + y**2 + 3*y. Let c(t) = x*i(t) + 4*b(t). What is c(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -645 + 663 + 12*m**4 - 40*m**4 + (2*m**2 - 3*m**2 + 2*m**2)*(m**2 - 3*m**2 + 3*m**2) as f*m + p*m**4 + r + i*m**3 + y*m**2 and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16357633 + 2539361.\nAnswer: -13818272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-4)\/1 - -118. Suppose -7*w - 102 = -4*r - 2*w, q = 4*r + 5*w. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:04 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 79. Let r be n\/(12\/4 - 2). What is g in -105*g**r + 55*g**2 + 4*g**3 + 35*g**2 + 6*g**3 + 5*g = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/((-3)\/(-2)*2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*h**3*r**2*t**2 + 15*h**3*r**2*t + 15*h**3*r*t**2 + 2534*r*t + 8*t**2 wrt t.\nAnswer: 228*h**3*r**2 + 30*h**3*r + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/8)\/(-9)*0 + 0. Let s be (n + -8)\/((-2)\/1). Solve -s*j - j - 6 = -a, 4*a + 2*j = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 10*o + 2. Let d be g(-5). Factor -j - 45*j**2 + 3*j**3 + 41*j**d + 4 - j - j**3.\nAnswer: 2*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = 0. Let w = 2 + p. Let f(v) = -2 - 3*v + 4*v**w + 8*v - 9*v**3 + 8*v**3. Calculate f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4196 + -2229. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2056 = -304. Does 6 divide k\/(-6) + 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28203 and 244902.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2*-2 - -12. Suppose -19 = -3*s + l. Is (s - 2)*(13 + -3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.7 in 4\/487, 10, 1?\nAnswer: 4\/487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 20*r - 9063. Calculate a(-62).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**4\/2 - 777*s**3 + 516*s**2.\nAnswer: 3*s**2*(s - 172)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -39269 plus 985?\nAnswer: -38284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-134 - -131) + -1 + 306\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85117913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**4\/7 - 75*x**3\/7 - 162*x**2\/7 + 96\/7 = 0. What is x?\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 39.07796 millimeters?\nAnswer: 0.03907796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -285 (base 15) to base 12\nAnswer: -3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 18 = -2*n. Let v = -4 + 4. Solve v*u - 5*u = n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93129, 744663, 2513015, 5956593, 11633805, 20103059?\nAnswer: 31922763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 15 = 17*b. Suppose -b*y - 267 = -2*y. Let s = 87 + y. Let m(i) = -i**3 - 3*i**2 + i - 1. Let l(g) = 2*g**2 - g + 1. What is s*m(f) - 3*l(f)?\nAnswer: 2*f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 87\/13936?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 797057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5633343 (base 7) in base 8?\nAnswer: -2522231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 11, -3, -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.1807 + 0.1807. Is -14 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 306 = 6*l. Suppose -4*m + 18 = 6. What is the second derivative of l*v**3 - 28*v - 7*v**3 - 14*v**m wrt v?\nAnswer: 156*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.358 + -3?\nAnswer: -5.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gnnnuguzgunuznggu?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 + 581. Suppose -7*y + 987 + t = 0. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 100 = 347*h - 350*h, -2*h = -4*s + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-672)\/(-108)*(-18)\/(-4). Let j be (6\/(-15) + 0)*-75. Suppose z - j = -g. Solve -g + 1 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, -0.2, -3, -0.5, -53, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**(-4\/9)\/g*g))\/g))\/g)**32\/(g**(-1\/3)*g*g)**43 assuming g is positive.\nAnswer: g**(-773\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/10*(-19)\/(-36). Let i = o + 1\/24. Determine b, given that i*b**2 + 0 + 0*b - 1\/5*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 5*z**2 - 4*z**2 + (-3*z + 9*z + 5*z)*(-6 + 2*z + 6) - 3*z**2 + z**2 + 4*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8470570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 19364 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3412*y**3 - 3*y**2 + 52*y + 118. What is the ten thousands digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-464)\/(-48))\/(12\/(-360)*-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 3, t: 2, q: 4, x: 2}. Give prob of picking 1 q, 2 v, and 1 x.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1161666.\nAnswer: -1\/580833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 1, 4 in decreasing order.\nAnswer: 4, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**5 - 12*b**4 - 5*b**3 + 16*b**2 + 7*b - 4. Let d(o) = -o**4 + o**2 - o. Let p(w) = -d(w) + g(w). Solve p(l) = 0 for l.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-3 + (-45)\/(-10)). Let z = 154.7 - 163. Let g = -4.3 - z. Which is the fourth biggest value? (a) j (b) g (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 5*z + 756. Let x(p) = -2*p + 379. What is -2*w(n) + 5*x(n)?\nAnswer: -2*n**2 + 383","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 600, 5862, 20122, 47868, 93588, 161770, 256902?\nAnswer: 383472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -33899?\nAnswer: -33912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27829073 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/3)*m**3*(m**(-1)*m)**25 assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230407*k*t**2 - 255445*k*t + 2*t wrt t.\nAnswer: 460814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 - 5*r**2 - 3*r - 1. Let l(m) = -2*m - 4*m**2 - 590*m**3 - 1 + 292*m**3 + 301*m**3. What is -2*f(v) + 3*l(v)?\nAnswer: v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 10*i**2 - 2*i - 14. Let w be 22\/77 + 72\/(-7). What is the remainder when 11 is divided by h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 2*m. Suppose -m*n + 19 = 4. Suppose 4*s - 128 = -n*g, 5*s + 13 = -7. What is the highest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 - 12*g + 2 as d*g + o and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:05 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 + 2*l - 9. Let s be m(6). Let y(f) = -f - s + f + f. Let z(u) = -222*u - 663. Let d be z(-3). Determine y(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 12 - (90 + -23 - 60)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 4 + 5)**2.\nAnswer: 18*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 684889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5188, -20787, -46786, -83185?\nAnswer: -129984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from flbzfzlbfbb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -13.1, 1\/9, 0.3 in ascending order.\nAnswer: -13.1, -5, 1\/9, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 1925.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose 0 = h*z + 4*g - 59, -3*z + 4*g + 6 = -z. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676 a factor of 59170104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*t**2 - 90*m**3*t - m**2*t - 5*m**2 + 1030*m*t**2 + 2*m*t - m - 3*t**2 wrt m.\nAnswer: -6*m*t**2 - 540*m*t - 2*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23987*0.5.\nAnswer: 0.119935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/92, 4, 0.064, 39, 3.\nAnswer: -11\/92, 0.064, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3242, -6512, -9812, -13142, -16502, -19892, -23312?\nAnswer: -26762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2. Let z(c) = -5*c + 4. Let r(k) = -k + 1. Suppose 0*n + 3*n = 60. Suppose 2*q + n = 7*q. Let s(b) = q*r(b) - z(b). What is y(s(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0656 greater than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*a - 420 = 0, -2*k - 29*a + 26*a + 210 = 0. Suppose 20 = 115*p - k*p. What is the lowest common multiple of p and 257?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 127. Let m be q(7). Let s = -1083\/7 + m. Which is the nearest to 0.1? (a) -1\/5 (b) s (c) -8 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqzqqzqq. Give prob of picking 3 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**2 - 9*m + 3. Let z(b) = -28*b**2 - 28*b + 8. Let h(c) = 16*a(c) - 5*z(c). Find r, given that h(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*v - 108 = 0, k = v + 3*v - 36. Let q be ((-207)\/k + -6)\/((-10)\/(-8)). What is the closest to -0.02 in -4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (301\/1 + 1)\/(-2). Suppose 0 = 3*p - l - 19. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -791 - -800. Solve 8 = x*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54512*l**3 + 3*l - 54448*l**3 - 3*l + (-2*l**2 + 0 + 0)*(-3*l + l + 0*l) to f*l**3 + d + h*l**2 + y*l and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/11 - 6*h**2\/11 - 4*h + 48\/11 = 0.\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-748)\/440 + (-6 - -9 - 10\/4)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llxx when four letters picked without replacement from {l: 2, x: 9, a: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 9*g + 4 + 4.\nAnswer: -9*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.53 + 1131650?\nAnswer: 1131142.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.158 or 0.9?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 - 13.66. Let i = -11 - p. Put -1, 6, i in ascending order.\nAnswer: -1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364178351 is divided by 2924.\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + ((2 + sqrt(2299) - sqrt(2299) - sqrt(2299)) + sqrt(2299))**2 - (sqrt(2299)*-1*3)**2) + -1.\nAnswer: 20686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*j - 2*j, -5*f + 4*j + 12 = 0. Let o(z) = 2*z + f + 2*z + 0*z**2 + z**2. Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/39 or 0?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 78\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 3*y + 379 + 23*y - 132.\nAnswer: 2*y + 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.5. Let x = 10.9 - 5.9. Which is the smallest value? (a) -4 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 87534?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4 + n**3 + 3*n**2 + 91*n. Let o(q) = 36*q**2 - 17*q - 17. Calculate -6*o(s) - 17*y(s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/33)\/((-2)\/36). Suppose 8*q + 2*f - r = 3*q, -6 = -q - 4*f. Suppose a = 4*a + q*i - 89, 0 = -4*a + 2*i + 100. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(5*-2*sqrt(252))\/((sqrt(36) + sqrt(144))\/sqrt(4)))**2 + 1)*-6.\nAnswer: -67206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*w**3 - 119*w**2 + 119*w**2)*(2 - 2 + 1)*(-1 + 9 + 0) to the form m*w + d*w**2 + o*w**3 + f and give o.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, 2\/9, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**46*c**(3\/5)*c\/(c*c**5*c*c) assuming c is positive.\nAnswer: c**(428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4159934149 rounded to 3 decimal places?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600 + 198 + 202 + 200 - 8*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1321?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23052 + -14561. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j*j**0\/j)**(-33)\/(j\/(j*j**9)*j**(3\/7))**32 assuming j is positive.\nAnswer: j**(8373\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 4. Let u be r(-2). Let n be ((u + 6)\/(-4))\/(-1) - 2. Let z(s) = -s**2 - 12*s + 1. Let c be z(-12). Solve n*h = -h + c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 5*z - z - 219. Factor 0 + 1\/7*h**4 - 1\/7*h - 3\/7*h**3 + 3\/7*h**z.\nAnswer: h*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 55?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*h + 17311 - 1286 = -5269 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(-168)\/1456?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0469 + 0.1\nAnswer: 0.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 - -204. Suppose -y*l + 938 - 50 = 0. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*h - 46*h - 1347*h - 1070*h to the form x + k*h and give k.\nAnswer: -1949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 630*y - 3779. Let p be v(6). What is the closest to p in 3, 4, 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1891be (base 15) to base 5\nAnswer: -301221104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2518432?\nAnswer: 22665888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -3 (c) -2 (d) 13600\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 85, 80, 75, 70, 65, 60?\n\"Answer: -5*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -k, -9 = -4*i - 6*k + k. Suppose x - 18 = 3*d - 1, -4*d - i = 3*x. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 175462.\nAnswer: -10527.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1550 at most as big as 604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (-6 + 9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 9. Let q be d(-7). Let w be 8\/24 + q\/6. Let y(b) = b + w*b + 8 + 0*b. What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10))\/(17\/(-255))*(-1736)\/(-84). Is c > 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 48 = -4*t - 0*t, 2*x - 46 = 3*t. Let j be 52\/14 - 4\/t. Find the second derivative of 4*s + 0*s**3 + 2*s - j*s**3 - 2*s wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -491\/3 - -162. Suppose -10 = -10*z + 15*z. Is p <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 94 = -31*x - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -262. Suppose 5*x - q = 105. Let r be ((-4)\/((-24)\/x))\/(4\/40). What is the greatest common divisor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from fkhfkvhvf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-8494.5.\nAnswer: 33978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105.8 - -105.3. What is the closest to -8 in l, -3, 1\/4, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -40.036. Let q = i + 0.164. Put 1, 0, q, -2\/13 in descending order.\nAnswer: 1, q, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29aa5a (base 11) to base 16\nAnswer: 725e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2121, 2446, 2809, 3210?\n\"Answer: 19*g**2 + 268*g + 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 116666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + a0c9436?\nAnswer: a0c9431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-30) - 2)\/((-20)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1001, -983, -891, -689, -341?\n\"Answer: 6*r**3 + r**2 - 27*r - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1436*q + 5750. Let j be g(-4). Solve 0 = -a + 4*k + 4, -k - 7 = a - j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0375 - -2.0375. Which is the smallest value? (a) 0 (b) 15 (c) r (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -168, 0, 57.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(25) + sqrt(225)\/sqrt(9) + sqrt(25))\/sqrt(5).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -158, -346, -562, -806, -1078, -1378?\n\"Answer: -14*g**2 - 146*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -441.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + h + 77, -2*h = -5*o - 6*h - 133. Let x = 121 - o. Suppose 3*t + n - x = 0, -3*n - 200 = -4*t + n. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2 + -1) - -2. Suppose -3*v = -2*i + 21, -9 = -3*i - w*v - 0*v. Solve 0 = -2*k + i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4037+0.02\nAnswer: -4036.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33523 - -6383. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**4 - 5*p**3 + 5*p**2 + 5*p - 7. Let a(l) = -l**4 - l**3 + l**2 + l. Let s(x) = -5*a(x) + r(x). What is the first derivative of s(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + z)*(-4 + 3 + 0) + 3 - 3 + 2*z)*(-3*z**3 + 0*z**3 + 4*z**3).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.8 + -4. Put -1\/3, -5, b, 2 in decreasing order.\nAnswer: 2, b, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, -1, 120.952 in descending order.\nAnswer: 120.952, -4\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**5 - 4*d**3 + 2207*d**2 - 33*d - 1913 wrt d.\nAnswer: 40*d**3 - 24*d + 4414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:53 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + q = -5*s + 27, -2*s + 8 = -q. Let h(c) = 5*c**2 - c - 1. Let i be h(-1). Suppose i*w = 4 - 14. Put 1, s, w in descending order.\nAnswer: s, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 2*q**6\/3 + 5*q**5\/4 + 5*q**4\/12 - 20*q. Factor y(g).\nAnswer: 5*g**2*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 584 and 56.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + (12 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 2*h + 147. Let x(g) = g**2 - 18*g + 4*g**2 + 6*g + 4*g - 3*g + 734. Let b(i) = 11*o(i) - 2*x(i). Let c(s) = -s. What is c(b(k))?\nAnswer: -k**2 - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5216739\/28301120 + 4\/88441. Find the common denominator of c and -73\/32.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*s - 4*i, -5*i - 24 + 7 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 60197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(9)*3)*-1)\/((sqrt(4) + (sqrt(144) + sqrt(4))*6)*6).\nAnswer: -sqrt(3)\/774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13606, -108795, -367162, -870295, -1699782?\n\"Answer: -13598*f**3 - f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/5)\/j*j**(7\/5)*(j\/(j*(((j\/j**(-1\/10)*j*j)\/j)\/j)\/j))\/((j\/(j**(-5\/4)\/j))\/j) assuming j is positive.\nAnswer: j**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose j = -4*r + r. Suppose 3 = v - r. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v + 7. Let o be s(6). Suppose -l + c + 47 = 4*l, -c = 3*l - o. Is 2 a factor of -1*(-6)\/l*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1001, 2006, 3003, 4004, 5021?\n\"Answer: 2*m**3 - 16*m**2 + 1039*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108165856907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16*o. Let q(z) = 5*z. Give d(q(f)).\nAnswer: -80*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 + -9. Let i = -136791\/2 + 480183\/7. Let n = i + o. What is the common denominator of n and 93\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ioviiqqioiioq.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**7\/30 + 7*x**4\/8 - 5*x**2 - 21. Let r(f) be the second derivative of i(f). What is the second derivative of r(l) wrt l?\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 24*d**2 + 2*d - 42. Let u be f(24). Let t(j) = -2*j - 8. Let h be t(-6). Suppose -h*o - o + 20 = 0. Solve -o*n + 2*n = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926983 is divided by 154417?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (397 - 397 + 11*x)*(-x - 2*x + 5*x + (0*x + x + 2*x)*(2 + 0 + 0)) to s + q*x + t*x**2 and give t.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6220 - -6218. What is the fourth smallest value in 1.3, 1, 0.3, -5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535, -536, -537, -538?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 92. Determine x(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -14, -36, -60, -86?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79508751, 159017492, 238526229, 318034962, 397543691, 477052416?\n\"Answer: -2*w**2 + 79508747*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.402 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 25*v + 1. Let w(f) = -15*f**2 + 82*f - 3. Let d(t) = 2*w(t) + 7*z(t). Let r(i) = -i**2 - 6*i + 1. What is 3*d(b) - 5*r(b)?\nAnswer: -b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-42)*-3*(-2)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtttttrrrvtrrttvtvt. What is prob of sequence vrtt?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11909.\nAnswer: 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:58 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-3) + 5\/(175\/478). Let z = -496\/35 + m. What is the common denominator of 54\/5 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -22.714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 36*i + 17 - 15*i.\nAnswer: -4*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3\/4, 2\/5, 0.0466?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -212, -713, -1684, -3281, -5660, -8977, -13388?\nAnswer: -19049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:54 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - a, -5*q - 2 = -2*a - 3. Calculate the lowest common multiple of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 20 = -4*c + 14*r, -3*c = -5*r - 21. Put c, 10, 41 in ascending order.\nAnswer: c, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232073813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5114978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-5 - (4 + -15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -43\/12305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 130.7. Let p = l - -5.4. Let d = -3 - p. Put -4, 3, d in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/12*4 - 130\/(-6). Suppose 2*h + a = -899. What is the units digit of h\/30*(-6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 1482?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*k + 24378 = -966*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106)\/12 + 5 - -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20810*o*w**2 - o*w - 38*o + 552*w**2 + 3971*w - 3 wrt o.\nAnswer: -20810*w**2 - w - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240315403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.7 - -6.3. Let i = 30.07 - u. Let s = i + 1.93. Which is the closest to -2? (a) s (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/16684744 and 61\/13520396.\nAnswer: 784182968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3896, 7800, 11702, 15602, 19500, 23396, 27290?\nAnswer: 31182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -31*d - 6. Let g(o) = -1. Calculate -c(v) - 2*g(v).\nAnswer: 31*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 22 (c) 8.9 (d) 12\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2473 - 2657. Let r be 2\/(-11) + t\/(-627). Solve -2*d + r = 3*q, -q = 4*q - 5*d + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5 - 45*w**4\/4 - 65*w**3\/2 - 20*w**2 - 184*w + 103. Let r(k) be the first derivative of c(k). Factor r(b).\nAnswer: 5*(b - 8)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(33) - sqrt(1188)))\/(sqrt(1980)\/sqrt(5)).\nAnswer: -25*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 3724\/197, 6, 1\/7, -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - u**3 - 2*u - 9*u + 21*u - 3*u**4 - 2*u - 3*u to the form s*u**4 + d*u**2 + g*u + f*u**3 + v and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -70, -104, -138, -172?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-28))\/(3*(-18)\/(-32))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1573) + 0 - 2*sqrt(1573)*3)*-4)**2.\nAnswer: -1760*sqrt(13) + 629216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340 (base 6) to base 8.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15567, 48535, 98903, 166665, 251815, 354347?\n\"Answer: -s**3 + 8706*s**2 + 6857*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, w: 1, o: 1, q: 2, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1718656 and 11474992?\nAnswer: 7408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000304923 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 + -291. Suppose 0 = -3*i - 0 + 6. Solve 0*j - t*j - i*g = 1, 10 = -2*j + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259031394 to the nearest integer?\nAnswer: 16094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/2 - 2145*p**3 + 1790679*p**2\/2 - 91878930*p + 2752127334.\nAnswer: 3*(p - 649)**2*(p - 66)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and 21222.\nAnswer: 21190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*((a\/a**5)\/a)\/a))\/(a\/(a\/a**(-1)*a)))**(-2\/67)\/((a**(2\/7)\/(a*a\/a**(-2\/7)))\/(a**(2\/5))**(-3\/4)) assuming a is positive.\nAnswer: a**(999\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. Let d be ((-5)\/(-6))\/(-4 + (-26)\/(-6)). Let n = x + d. What is the second smallest value in -1\/4, n, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 442*r + 692. Calculate the lowest common multiple of n(0) and 248\/14 + (60\/35)\/6.\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:40 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 - 7*f**4 + 5*f**4 + (-3*f**4 - 3*f**4 + 2*f**4)*(2 + 0 - 3).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 + (1 - 6) - -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-6)\/4)*5\/(-30). Let h be -1 - 7\/(-3) - 1. Put v, h, 2 in decreasing order.\nAnswer: 2, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/5)\/(y*y**3)*y*(y*y*y**(1\/3))\/y*y**(1\/8) assuming y is positive.\nAnswer: y**(-281\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -44. Calculate the lowest common multiple of f and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 61*f - 803. Let l be w(-19). Let j be -2*3\/6*1. What is the nearest to 1\/27 in j, l, 2, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 4, -1\/3, -2\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 10:24 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**13*f**(-10\/3))**6)**(-12) assuming f is positive.\nAnswer: f**(-696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-402)\/(-9))\/(2\/(-6)*-2). Suppose 16 = -63*h + z*h. Suppose 4*c = -5*a + 40, -12 = -0*a + 2*a - h*c. Calculate the lowest common multiple of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2602, -3619, -4636, -5653, -6670?\n\"Answer: -1017*w - 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g**3 + 246*g**2 - 20*g. Let t(q) = -26*q**3 - 488*q**2 + 45*q. Give 9*a(z) + 4*t(z).\nAnswer: 13*z**3 + 262*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7439904 divided by -3488\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -34. Let y be ((-12)\/v)\/(((-21)\/(-162))\/7). Factor 36\/5*k**3 - 64\/5*k + 27\/5*k**5 + 16\/5 - y*k**4 + 64\/5*k**2.\nAnswer: (k - 2)*(k + 1)*(3*k - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 29*n + 1 + 5*n**4 - 10*n**4 + 1 + 0*n**4 + 0*n**3 + 2*n**3 to the form m*n**3 + q*n**4 + o*n + x + y*n**2 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/19, 2\/9, 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 41 = -c. Let h(t) = 1 + c + 6 - 12 - t. Determine h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63908 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 628 - 1181 + 907 - x**2 as f*x**2 + o + b*x and give o.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 13*q**2 - 6*q - 8. Give a(-6).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + (-113490)\/1495 - ((-1376)\/46 + -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8*(-13 - -37).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*65\/(-10)*(-3)\/3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3569.\nAnswer: 28552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1404 and 2319?\nAnswer: 1085292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 528535394529 take away -0.2?\nAnswer: 528535394529.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 125?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (80\/60)\/((-24)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -43?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-7) - (-630936)\/756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3594 - 3593.99985855. What is r rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*i + 346 + 239. Which is the closest to -0.2? (a) i (b) -6\/7 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(242)*-3 + sqrt(242)))\/sqrt(11))\/((-3*1*sqrt(8) + sqrt(8))\/sqrt(4)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 261127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-607 - -588) + (3 - (3 - 1) - -122)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/7)*g*g)**(-42)\/(g**(-10)*g)**(10\/7) assuming g is positive.\nAnswer: g**(-666\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 22111020?\nAnswer: 22110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1017, -4, -1.\nAnswer: -1017, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 37.9. Let g = 0.58 + -2.18. Let k = g - q. What is the closest to 2\/3 in 3, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24354 (base 6) to base 12\nAnswer: 20ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 247437*0.413\nAnswer: 102191.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/2 + 771*q**2\/2 - 387*q = 0. What is q?\nAnswer: -258, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*f - 8*f**3 + 28*f - 1 + 1 to the form c*f**3 + y + g*f**2 + n*f and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21160586.\nAnswer: 2, 59, 179327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-14)*9\/(-153)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 2. Let f = -1.2 - 3.8. Put 1, o, f in ascending order.\nAnswer: o, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let a(b) = b + 1. Let t be a(-6). Let j be 5\/(i\/2) - t. Solve j*w = -w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -519, -575, -631, -687?\n\"Answer: -56*h - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203*o = 24161 - 2507 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6558 - -9085. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62576, -50404, -38230, -26054?\nAnswer: -13876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 39. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times 1847?\nAnswer: 48022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826*c = 1800*c - 7176. Put -8, 1, 2, c in ascending order.\nAnswer: c, -8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -772 + 807. Solve c = -2*o + 5*f, -o - 4*f = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w*w**(-2\/5))\/w))*w)**(-34)\/(w*w**(-2\/15)*w*w*w**(-1\/5)))\/((w**(-2)*w**(-1\/2))\/((((w*w*w**(2\/7)\/w)\/w)\/w)\/w)**(2\/25)) assuming w is positive.\nAnswer: w**(-21739\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31882 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28153 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 4*f + 0*f)*(-13*f**2 + 38*f - 38*f) - 2*f**3 + 3*f**3 + 2*f**3 in the form b*f**3 + s*f + i + l*f**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 3*x**3 + 3*x**3 + (2*x**2 + 3 - 3)*(-3*x**3 + 4*x**3 - 2*x**3) - x**2 - 2*x**2 - 5*x**5 + 9*x**5.\nAnswer: x**5 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 316 - 311. Put 16, 3, -5, q in descending order.\nAnswer: 16, q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36b9 + -12?\nAnswer: -36cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*o - 38*o + 69*o - 11605 = 0 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*n = -2377, 9*z + 7139 = 6*z - 5*n. What is z rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -244*w + 33151. Give u(136).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3055 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-516)\/(-1419)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 12*t**2 + 13*t - 8. Let r(f) = 32*f - 203. Let b be r(6). Determine q(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4 - 2645*b**3 - 7850*b**2 + 200660*b - 348744 = 0?\nAnswer: -2642, -11, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -218.6, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 14 + 1)*(f - f + 3*f**2) + (f - 2 + 2)*(-1 - 3*f + 1).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -7035*i**2\/2 - 6460*i + 4226. Differentiate n(z) wrt z.\nAnswer: -7035","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 98*y**2 + 3*y + 100*y**2. Let b(h) be the third derivative of -h**5\/30 + 18*h**2. Calculate a(b(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9))**(-7)\/(s**10*s\/(s*(s**(2\/27)\/s)\/s)) assuming s is positive.\nAnswer: s**(-280\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 75. Let t(r) = r**2 + r + 2. Let j be t(-3). Let o be a\/6*j\/10. Solve o = -4*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -50 + -48 - (9 + -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*b*l - 2*a**2*b*n + a**2*b + 16*a**2*l + 4*a*b*n - 51*a*l + 5*b wrt a.\nAnswer: -4*b*l - 4*b*n + 2*b + 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*q)*(-4 + 4 + 2)*(q**2 - 2*q**2 - 2*q**2) + (-q + 29 + 15 + 7)*(-4*q + q**2 + 4*q) in the form b*q + l*q**3 + a + r*q**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from xufufxxffxwuxwxuvgw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12*10)\/(56\/(-168)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21191\/8 + -27 + 1085\/40?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 22 + 7*g**3 - 2*g**3 - 3*g**3 in the form i*g**2 + v*g**3 + m*g + n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 59365 = -3*z + 22202, -2*z + 81568 = -y. Is (-2 + 7\/3)\/((-10)\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280692829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -2*m + 12, 2*m - 85 + 77 = 2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - m + 2 = 0, -4*g - 4*m = 71 - 79. Solve g = -4*i - 2*q + 16, -4*i + 3*q + 25 - 19 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 457*m\/6 + 12599.\nAnswer: -(m - 586)*(m + 129)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8159*p - 2276*p - 56209 = 6003*p + 288989 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1989*q + 1864. Determine p(-1).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 2. Let f be j(-2). Suppose 0 = -2*x - x + f. Let a be ((-27)\/30)\/(7\/((-105)\/9)). Is a smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7645 divided by 9221?\nAnswer: -7645\/9221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 less than -68.33?\nAnswer: 17.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(4\/14*(-1218)\/(-24012))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1147c - 2?\nAnswer: -1147e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3941*m**3 + 20*m**2 - 8*m + 7. Does 10 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0 + 0*c + 2\/7*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.7 - -13.4. Which is the closest to 2\/61? (a) j (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24905*c**5 - 7*c + 396 wrt c?\nAnswer: 498100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 451926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235 and 3265.\nAnswer: 153455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -506 in descending order.\nAnswer: 3, -4, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + p + (17 - 1 - 3)*(44*p + 57*p - 28*p))*(2 - 2 - p + (-3 + 4 - 2)*(0*p + 4*p - 2*p)).\nAnswer: -2841*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 8) in base 14?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 + -62)*-1 - -3)\/((-18)\/(-30)). Suppose -4*t - 7*g = -3*g - 136, 0 = -t - 5*g + 30. What is the highest common divisor of i and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -451877.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1 + 0*a - 6*a**2 - 2*a - 10*a**2 + 4*a - 6*a**3 + 14*a**2. Let c(j) = j**3 + j**2 - j - 1. Determine 2*c(r) + t(r).\nAnswer: -4*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -4)*(-94)\/3. Let j = -60 + q. Suppose k + k = j. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 242137?\nAnswer: -242137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*1\/2 + (136 - -16). Let j = m + -143. Let y = -3 + 6. Calculate the greatest common factor of y and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 45402.\nAnswer: -45399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*f)*(-7 + 2 - 1)*(2*f - 60 + 58 - 17*f)*(-f - 3*f + 2*f)*(6 - 1 - 3).\nAnswer: -1440*f**3 - 192*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 v when three letters picked without replacement from {v: 5, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (1 + (-6)\/15 - 2632\/470). Let w(j) = 3 - 7 - 2*j + 3. Determine w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-105)*-3*(-10)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnhinnifnnninnhhnf. Give prob of picking 2 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23831, 23769, 23589, 23231, 22635, 21741, 20489?\nAnswer: 18819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/6))\/(q\/(q\/q**(-2\/79))))\/(q\/(q*q**17*q))**(-4) assuming q is positive.\nAnswer: q**(-33721\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 1347, 2216, 3221, 4368, 5663, 7112?\nAnswer: 8721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/sqrt(324) - 1*sqrt(216)\/sqrt(8))\/(sqrt(9) + (sqrt(9) + sqrt(9) + 2*sqrt(9) + sqrt(9))*-2 - sqrt(9)*4*3).\nAnswer: 5*sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 11. Let q(o) = 3*o**2 + o - 10. Let j(d) = 4*b(d) - 5*q(d). Let g = -17 - -21. What is the units digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y. Let m(n) be the third derivative of 23*n**4\/12 + 5*n**3\/6 - 144*n**2 - 4*n + 2. What is m(t(k))?\nAnswer: 138*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (0 - 3 - -2). Let t be p\/27 + (-16)\/(-9). Suppose t*z - 7*z = -10. What is the greatest common factor of z and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 3*s**3 - s**3)*(10 + 8 + 10).\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7650671*w**2 - 1. Let j(g) = g. Give m(j(h)).\nAnswer: 7650671*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-24)\/160 + 25\/12\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 985*k - 60. Let s be z(9). Suppose 13*b = -290 + s. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-seven fifths of a hour?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/6 + (-110)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:38 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = -3*n, -3*j + 0 - 3 = -2*n. Let z be ((-156)\/8)\/(1\/(-4) + 0). Suppose -z = n*u - 5*u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 + 7*f**3\/3 + f**2\/2 + 7*f + 1. Let q be -1 + 2 + -2 + 7. Is w(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-38))**8 assuming d is positive.\nAnswer: d**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 1722 = -111*v. Sort -4, v, -5, -3 in decreasing order.\nAnswer: v, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284 - -283.54. What is the third biggest value in 0.3, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34\/3, 2\/17, 2, -3?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 4*t + 14, 27 = -3*v + 3*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -190*z**3 - 5*z**2 + 45*z + 175. List the prime factors of o(-6).\nAnswer: 5, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*s = 0, 4*k - 5*s - 18 = -7*s. Suppose 12 = -k*m + 6, -5*q + 3357 = 4*m. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*p - 20 = -9*p, 4*u + 5*p - 25 = 0. Solve -5*v + u = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:49 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/13, -0.0788.\nAnswer: -2\/13, -0.0788, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:29 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 1. Suppose -n + 2*n - 5*p = -14, -4*n + p + 1 = 0. Let a be 270\/50 - (0 - (-15)\/(-25)). Let j(v) = -3*v + 6. Determine a*h(r) + n*j(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -450.0425 rounded to one dp?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkff. What is prob of sequence gk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12052514520 + -1?\nAnswer: -12052514521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9329345, -18658687, -27988029, -37317371, -46646713, -55976055?\nAnswer: -65305397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/30 - 5*j**4\/8 + j**3\/2 - j**2. Let q(m) be the first derivative of s(m). Differentiate q(i) with respect to i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*o**4 - 328 - 20 - 378 wrt o.\nAnswer: -432*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/9*15\/(-18)*(-414)\/460.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 + 9*r - 21. Let z(w) = w**3 - 5*w**2 - 5*w + 11. Let c(n) = 4*q(n) + 7*z(n). Let p be c(-4). What is p rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -28*c + 36 - c**3 - 22*c + 88*c - 16*c**2. Let v be t(-18). Which is smaller: -1\/150 or v?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56318603 is divided by 301.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 567?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199890571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4 - 0. Let b be -31*(-7)\/28 + 3\/(-4). Let t be (5 - b)\/(-1 + g). Put 2, -0.2, t in decreasing order.\nAnswer: 2, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 140 = -5*s, -3*n + 38 = 4*s - 25. Calculate the remainder when 81 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258 - 152. Suppose -f = -2*f + 28. Calculate the remainder when s + (-4)\/(-10) + (-26)\/(-10) is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (48 + 23 - 81 - (0 + -8)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3 + 41094*b**2*q**2 - 10032*q**2 + 3*q wrt b?\nAnswer: 3*b**2 + 82188*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 37. Suppose 5*w - 100 = t. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*y + 4)*(3 + 2 - 3) + 7*y - 12*y - 3*y + 3*y - 2*y - 3*y + 0*y - y + 2*y + (2 - 2 - y)*(-1 + 6 - 3) + 3*y - 3*y - y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1100) + 1 + sqrt(1100)) - sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 0 + 4))) + 4 - (sqrt(1100)*2 + sqrt(33)\/(sqrt(15)\/sqrt(5)))*-1.\nAnswer: 14 + 131*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2494 + 1258 - 18*s + 1204 as w + k*s and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 58*l + 17 = t, -t - 1 = -l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04521 - -28.06021. Let v = 144.015 - 144. Let r = s - v. Which is the second biggest value? (a) r (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 282697\nAnswer: -59366.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) + (sqrt(119) - 3*sqrt(119)))*-6*3)\/((sqrt(70)*4)\/sqrt(10) + (sqrt(7) - (sqrt(7) + sqrt(448))*-1 - sqrt(7))).\nAnswer: 54*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/4 + 7*n**3\/3 + 2*n**2 - 30*n - 791. Give p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 10*f**2 - 10*f + 10. Let a be q(9). Solve a = -v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2 - 0. Suppose -3*c = -4*c + p. Solve c*u = -8*w + 3*w + 30, 0 = -5*w - u + 25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*c + 2. Suppose o + c = 9. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1068, 1065, 1060, 1053?\n\"Answer: -m**2 + 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = -192*n + 231*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 1)*(0 + 2 - 3) - 4 + 3 - 1)*(-978*o**2 - 21*o - 2*o**3 + 978*o**2) + 5*o**3 - o**3 - 3*o**3.\nAnswer: -o**3 - 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p - 1. Suppose 0 = 5*w + 9 + 11. Let i(h) be the second derivative of 5*h**4\/12 - h**3\/3 - 5*h**2\/2 + 2236*h. Calculate w*s(b) + i(b).\nAnswer: b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/6, 2\/9005?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4 - 4)*(-3 + 5 + 0)*(0 + s + 0).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:55 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1312697 rounded to 3 decimal places?\nAnswer: 2.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 3293?\nAnswer: 8\/3293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/2)\/q**(-1)*((q\/(q*q*q**(-8)\/q*q))\/q)\/((q**(-5\/3)\/q)\/q)*((q\/(q**(-2\/7)*q))\/q)**(3\/8)\/((q**(-1\/15)*q)\/q**(-1\/5)) assuming q is positive.\nAnswer: q**(9043\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 407194880 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -57 + 9 + 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.93 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -77 (b) 524 (c) -0.02 (d) -3\/442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154346, -2\/11, -3 in ascending order.\nAnswer: -154346, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w + 22. What is f(10)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -13. Is (-1)\/2 + 6114\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3)*6\/(-1))\/((-352)\/(-80))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17160 and 164?\nAnswer: 703560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:15 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53036924201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -24, -34, -44?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03233 rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**5 + 63*o**4 - 63*o**4 + (-13*o**2 + o**2 - 5*o**2)*(3*o**3 + 3*o**3 - 10*o**3).\nAnswer: 61*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -71. Is 59 a factor of ((-210)\/w)\/((-5)\/260)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 302\/(-4)*(-25 - -23). Let q = m - 148. Let u(h) = h**3 - 2*h + 1. Calculate u(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 84\/15 - 4\/(-10). Let y(w) = 0 - w - 5 + n. Let i be (105\/(-126))\/((-2)\/12). Determine y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3422 + 3494. Calculate the highest common factor of j and 2556.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2395*n - 11981. What is p(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1303 - -900. Let y = a + 403.00000438. What is y rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -12*d + 70. Let n = 34 + 2. Sort d, 3, n, -4 in descending order.\nAnswer: n, d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.66 and 591.\nAnswer: 390.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226750.\nAnswer: 2, 5, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21668, -43335, -65002, -86669, -108336?\n\"Answer: -21667*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16353178.7 to the nearest one thousand.\nAnswer: 16353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 + -2 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -d. Let h = -15 + d. Suppose -s = -3, 0 = 5*t + h*s - 32 + 3. Solve 8 + 8 = t*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4a8e260?\nAnswer: 4a8e263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 221*b**5\/20 + b**4\/8 + 130*b**3\/3 - 133*b**2 - 2*b. What is the second derivative of f(w) wrt w?\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/11)\/(2760\/(-1012))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 217 = 4*n + 13*x, -5*n - 232 - 28 = 5*x + x for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37522489 is divided by 138.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - o - 1. Let v(c) = -727*c**3 - 15994*c**2 - 7997*c - 7997. Give 15994*g(b) - 2*v(b).\nAnswer: 1454*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 12710\/((1\/(-1))\/(0 - -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -12. Solve 0 = -u + 4*m + 7 + 11, 2*u + 4*m = -h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5595 by 1119.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 249d62?\nAnswer: -249d5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 647 + -643. Suppose -3*v - 6 = l*z, -4*z - 1 = 4*v - z. Solve 2*m = 0, s + s + 10 = -v*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/20 - (-128)\/160.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.044005 centuries in years?\nAnswer: 104.4005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 5*t**4\/12 - 19*t**3\/2 - 87*t**2 + 1. Give m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 12*d + 7 - 5*d**2 + 2\/3*d**3. Factor s(w).\nAnswer: 2*(w - 3)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 2. Suppose -4 + 12 = 2*h. Let x(w) = -5*w - 3. Let r(s) = h*x(s) + 5*c(s). Calculate the lowest common multiple of 14 and r(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*d + 3*a + 9, -d - 5*a - 15 = 0. Let u be -2 + 3\/(3 + d). Sort 4, u, -3 in descending order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b**4 + 30*b**3 + 128*b**2 - 114*b - 36 = 0.\nAnswer: -3, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 4 = 0. Let b be ((-2)\/(-4))\/(1\/8). Suppose 8*x - 2*u = 3*x + 14, -4*u - 4 = -b*x. Solve -y*r + x = 5*w - 10*w, r + 4 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, -0.5, 5\/7, -126610 in increasing order.\nAnswer: -126610, -0.5, 2\/7, 5\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 14964 + 32796. Suppose -18*n + 10*n = -h. What are the prime factors of n?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.748527 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**2)\/b)\/(b**3\/b*b))**(47\/3) assuming b is positive.\nAnswer: b**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34824560*j**4 + 7664*j**2 - 25*j + 12?\nAnswer: -835789440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -242, -1101, -2556, -4589, -7182, -10317, -13976, -18141?\n\"Answer: 3*h**3 - 316*h**2 + 68*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -14*a + 19*a + 9*u + 40, -a - 16 = -3*u for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 3 - 5*r - 3*r + 2*r**5 + 6. What is the derivative of p(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -401, -1008, -1827, -2852, -4077?\n\"Answer: u**3 - 112*u**2 - 278*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v**2 - 305*v + 84*v + 221*v + 41*v**2 - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -11c3c?\nAnswer: -11c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.74 - -2.94. What is the nearest to -1\/3 in 0.06, a, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*g = 205*g - 125 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8040100 divided by -185\nAnswer: -43460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52745214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5784 or -50?\nAnswer: 5784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6669.799 micrograms in nanograms?\nAnswer: 6669799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-239)\/5)\/(8\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.0131 + 0.0131. Which is the biggest value? (a) -1\/4 (b) u (c) 2\/3 (d) -16\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -234\/7?\nAnswer: -234\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403108 and 897864.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/((n\/(n**(2\/7)*n))\/n)))\/n**3)\/(n**(-1\/2)*n**2))\/((n*(n*n**(-2))\/n)**(5\/12)\/(n**(2\/7))**(-14)) assuming n is positive.\nAnswer: n**(-787\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let q be o(-2). Suppose 8 = q*r - 0. Let z(d) = d + 7. Let h be z(-6). Sort -1, h, r in descending order.\nAnswer: r, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - w - 4*w - 17 = 0, -4*f = 3*w. Let k(c) = -4*c - 6. Let a be k(-4). Put a, f, -3, 0 in descending order.\nAnswer: a, f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(432)*4)**2 - ((sqrt(216)\/sqrt(36))\/(sqrt(16)\/sqrt(2)*6))**2.\nAnswer: 5308415\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 13406 = 66650. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6146 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47153623?\nAnswer: 11, 29, 53, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2. Let f = -71 + 131. Suppose -a = 2*a - f. Let t(l) = a - 20 - 2*l. What is g(t(w))?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 97. Let l = 56 - 78. Calculate the common denominator of (4 + 2)\/(z\/l) and -43\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 2*q**2 + 13. Let g be l(0). Suppose -g*w = w. Let p(j) = j**3 + j**2 + 4*j + 86. Is p(w) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10083 + 10085. Solve 4*w + 27 = -5*m, -x*w = 2*m - 42 + 54 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3837, -64, 7 in descending order.\nAnswer: 3837, 7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1.6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**5 + 3*p**4 - 6844*p**2 - 11703330*p.\nAnswer: 100*p**3 + 36*p**2 - 13688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*p - 291 + 62*p - 142*p + 14*p**2.\nAnswer: 14*p**2 - 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 18 + 3*g - 2*g**4 - g**3 + g + 17 - 3*g to the form f*g**4 + p*g**2 + a*g + o + m*g**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78*((-3)\/(-70)*-2)\/(397\/(218350\/660))?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.45, 22, -185, 5 in descending order.\nAnswer: 22, 9.45, 5, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 - 46001301*p\/7.\nAnswer: 3*p*(p - 15333767)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 e when four letters picked without replacement from ehehhhehhehhhhheeh.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/226 and -95\/44.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5.61359\nAnswer: -22.45436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -19793*y. Let m(t) = -102*t. Let q(n) = 82*n. Let l(c) = -4*m(c) - 5*q(c). What is h(l(v))?\nAnswer: 39586*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2096 + x**3 - 2096.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**2 - 16*z**2 + 102*z**2.\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8007407.\nAnswer: 8007407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 0 - 1 - 7 - 0. Put 5, 2, 119, r in ascending order.\nAnswer: r, 2, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*l**3\/3 + 664*l**2\/3 - 1300*l\/3 = 0. Calculate l.\nAnswer: 0, 2, 650\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2163, 16813, 56417, 133449, 260383?\nAnswer: 449693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 14*c + 19. Let h be w(8). Differentiate h + 8*k**3 - 79 + 29 with respect to k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 15*b = -32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 30 = 84 - 24 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 3. Let k(b) = b. Let v(o) = 2*k(o) - r(o). Let w be v(-4). Let u(l) = 28*l - 5. Is u(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -14957\nAnswer: 3\/14957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/680*(0 + 8\/9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 8. Let f be d(-4). Let s = 1 + -1. Let z(g) = s*g - 5 + 0 - 2*g. Give z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 1. Let j be y(-3). Suppose -a - 8 = 2*t + 7, 0 = -3*a + 2*t - 5. Let k = a - j. Solve -3*p - 18 = 5*f, k = -2*f + 4*p + p - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -7. Suppose -26 = -c*w + 4. Is 2\/w - 62\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.134 - 0.934. What is the second smallest value in -1\/51, 4, h?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 88. Suppose 6*f = -o*f + 90. Sort 2, f, 1 in decreasing order.\nAnswer: f, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 82 - 19. Let p(l) = -l**2 - 7*l + 3. What is the remainder when p(-5) is divided by (-14)\/(-4) + i\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 13 = -4*n, 4 = n + 7. Is z\/(10\/(-384)) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*u + 10 = 2*u, -3*v - u + 7 = 0. Differentiate 3 - 4 + w**v + 5 wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1. Let g(u) = -u - 4. Suppose 6*o + 11 - 5 = 0. Determine o*g(m) + 5*r(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -6.\nAnswer: -6, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16675899048304041\/209176 + -79721856468. Let x = -17\/2377 - p. Find the common denominator of x and 137\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 216, 355, 496, 639, 784?\n\"Answer: o**2 + 136*o + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 409447 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -12. Let p = k - 0.1. Is 2 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**4\/8 - 3*f**2. Let c be y(-2). What is the second derivative of 0*l**3 + c - 6 + 2*l + l**3 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, j: 13}. Give prob of picking 1 z and 3 j.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 186\/5. Let g = -16.08 + 0.08. Let m = g - -20. What is the third biggest value in -3\/4, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 d, and 1 z when four letters picked without replacement from {d: 3, a: 2, z: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*f + 9 = -6*v, -5*f = 4*v - 37. Suppose -v*m = 2*m - h - 1451, 3*h = 12. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(252) + sqrt(252))*-1 + -6*(sqrt(252) + -1)**2.\nAnswer: -1517 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*m**4 + 18*m**4 + 17*m**4)*(-5*m + 3*m + 3*m + (-m + 4 - 4)*(4 + 0 - 2)).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -194459439 divided by -519?\nAnswer: 374681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 - 42 = 5*t, 25 = g - 4*t. Factor 45 + 12*a + 23*a + 5 + g*a**2.\nAnswer: 5*(a + 2)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) 11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 10*j + 21. Calculate z(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.17 + -16.07. What is the third biggest value in 2\/57, a, -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.06 - -0.06. Let b(l) = 4*l. Let d be b(1). Let s be (-1)\/(-40)*d*-2. What is the third biggest value in 0.2, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*l - 198, 3*w + l - 297 = -l. Calculate the remainder when w is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 51 = 5*k, 3*m = 4*k - m - 52. Suppose 3*f = 3 + 9. Suppose 0 = f*r - r - 9. What is the remainder when k is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*b = -682, 0 = -4*a - 75*b + 73*b - 2728. Do -683 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-54 - -103 - 31)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1385185, -2770231, -4155141, -5539915, -6924553, -8309055, -9693421?\nAnswer: -11077651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*o**2 + 1666*o wrt o.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -133. Suppose -r = -3*t - 4, -3*b = 2*t - 68. What is the greatest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*88\/(-11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -12. Suppose -l*u + 15 = 3. Solve u*w - 6 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.1396, 5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 94. Suppose f*o - 544 = -3*o. Suppose 69*x = o*x. Solve -2*h - 2 = x, 14 = -7*z + 2*z - 4*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.45 - 1.395. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 9:19 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -26, -4 in descending order.\nAnswer: 3\/2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 3*z + 2. Let f be n(3). Let b(g) = 2*g**2 + g**2 - 4*g**f. Let j(c) be the second derivative of c**4\/4 - 307*c - 2. Calculate 5*b(h) + j(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 13*l**3 - 24*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 94, 172, 374, 760, 1390, 2324?\n\"Answer: 10*o**3 + 2*o**2 + 2*o + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 11 - -12) + -5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216137?\nAnswer: 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifddiiliqiiqq. Give prob of picking 1 f and 1 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -120*u + 281*u - 267*u. Let o(g) = -88*g. Calculate o(k(l)).\nAnswer: 9328*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -76 in decreasing order.\nAnswer: -2, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 - 3*x. Let n be h(2). Let b = -29 + n. Let r = 49 + b. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.52. Let j = -0.02 - v. Let g = j - 1.3. Round g to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 9, h: 2, p: 6, c: 2}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.366046 litres to millilitres.\nAnswer: 4366.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8457613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17499 - 17473. Let h(r) be the first derivative of -20\/3*r**3 + 0*r**2 - t - 25\/4*r**4 + 0*r - r**5. Factor h(x).\nAnswer: -5*x**2*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -z + 4*z + 3*l, -94 = 2*z + 4*l. What is the remainder when 27 is divided by z\/(-9) - (20\/6 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853 + 613 + 2*b + 240.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10*7\/(-175) - (-248)\/(-20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 17*t - 116. Let l(w) = 4*w**2 - 12*w - 9. Let d be l(4). Let n be h(d). Solve 4*i = 2*v - 18, -n*v + 23 = -5*i - v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 65.25\nAnswer: -68.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, z: 2, k: 3}. What is prob of picking 2 z and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 + 220*u. What is z(44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310\/9, -5, -0.1, 2 in increasing order.\nAnswer: -5, -0.1, 2, 310\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97580 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 962*m\/7.\nAnswer: -2*m*(m + 481)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21349.8 years in millennia?\nAnswer: 21.3498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 8*o + 12. Calculate f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.06, 0.6, 1, 3, -718?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o + 0 + 0*o**5 - 7\/6*o**3 - 1\/4*o**4 + 10*o**2 + 1\/24*o**6. Let f(u) = u + 1. What is 6*f(m) + h(m)?\nAnswer: 5*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 25. Let b = -28081 - -28232. Calculate the remainder when b is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13217664 to the power of 1\/2, to the nearest integer?\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10 and (-433355)\/(-1205032) + 6\/(-16)?\nAnswer: 13330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.924*4\nAnswer: 11.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342389 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -1\/3 (c) -0.4 (d) -4\/7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 317492 and -0.5?\nAnswer: -158746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 16*u**2 - 8*u**2 + 14*u**2.\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (10 + 12 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t*u**2 + 49*t + 28091*u - 282 with respect to u.\nAnswer: 2*t*u + 28091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 - 2*a**2 + 4*a**2)*(7 - 3 - 2) + 1 - 1 - a**2 + 3*a**2 - a**2 - a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeieieiiiiiee. What is prob of sequence ei?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -121787?\nAnswer: -121787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 5.2. Let t = n + -6.1. Let p = -0.8 + 1. What is the closest to t in -3\/8, p, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/490 - l**6\/70 - l**5\/28 - l**4\/28 - 8*l**2. Factor v(u).\nAnswer: -3*u*(u + 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) -0.1 (c) 1 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 - (-1 - -5) - 1). Let r(j) = 2*j**2 + 11*j - 2. Let k be r(-6). Suppose 2*o = k*u - 154, -2*o = -i*u + 3*u - 112. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 54 = 2*h. Let j = 0 - -1. Let c = j + h. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 63 - (22 - (0 - 2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466654915?\nAnswer: 5, 19, 37, 132761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413696 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 131. Is (k\/(-4))\/(28\/(-168)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 6*j**2 + 2*j**2 - j**2 + 6. Let z be v(-8). Let w = z + 487. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.7 (b) -4\/5 (c) -5 (d) 2\/29 (e) 3.3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 36 + 5*x - 21 + 11*x**2 + x**4 - 15 + 7*x**3 = 0. What is x?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 14.5.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npzf when four letters picked without replacement from pfnhpzhhh?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 104 = -88 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 44. Let h be l(18). Solve -h*x = -5*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 339550844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32735156?\nAnswer: 2, 8183789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 1, f: 2, w: 3}. Give prob of sequence fjiw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134446, 140133, 145820, 151507?\n\"Answer: 5687*i + 128759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + y)*(-2*y**4 - 2*y**4 + 5*y**4 + (4*y - 6*y + y)*(5 - 5 + 12*y**3) - 2*y**4 + 0*y**4 + 0*y**4).\nAnswer: 13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37090*c + 37164*c + 2886 = 0 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, -5, -0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 3031?\nAnswer: -3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 126321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 7*v**3 + 5 + 1 + 0*v**3.\nAnswer: 5*v**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from absbssssssbsb. Give prob of sequence bsa.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*g**4*o + 3*g**4 - 2*g**2 - 497*g*o wrt g?\nAnswer: -1368*g*o + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(4 + -1) - 270. Let l = 1346\/5 + j. Which is the biggest value? (a) 2 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from fdfdfeffefo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/(-6 - 310\/(-50))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 617*d**4\/4 - d**2 + 3*d + 88. List the prime factors of y(1).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94850, 93773, 92696, 91619, 90542, 89465?\n\"Answer: -1077*v + 95927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12330646 divided by -148562?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.46, 16249, 0.5, 1\/4, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y + 4*y)*(0*y + 0*y + y) + 0*y**2 + y**2 - 2*y**2 - 2*y**2 + 3*y**2 + 5*y - 4*y in the form f + q*y**2 + u*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 42086426, 5 in descending order.\nAnswer: 42086426, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/6 + 35*p**4\/6 - 39*p**3 + 241*p**2\/3 - 407*p\/6 + 41\/2.\nAnswer: (p - 3)*(p - 1)**3*(p + 41)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66554?\nAnswer: 2, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431992 divided by 75368?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463138, 463144, 463164, 463204, 463270, 463368?\nAnswer: 463504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 334, 5, -27, -5 in increasing order.\nAnswer: -27, -5, 1, 4, 5, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - d + 129. Let k be m(0). Suppose -7*t + k = -4*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/129? (a) -3 (b) 0 (c) 3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.031938691\nAnswer: -0.095816073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 148*n**2 + 1064*n + 1568.\nAnswer: 4*(n + 2)*(n + 7)*(n + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = f, -2*g + 16 + 2 = -2*f. Let u be (-1 - 0)*(-2 - 2 - -1). What is the closest to 1 in u, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12441 (base 6) to base 3\nAnswer: 2121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 82\/6 + 1\/3. Let s be -2 + (-7)\/(h\/(-60)). Factor 16*g**3 + 10*g**3 - s*g**3 - 2*g**4 + 3*g**4 + 2*g - 1.\nAnswer: (g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12225.05 + 11851. Let x = 374 + o. Does 31 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 + 165\/1080\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 49. Let h = -4781.305 + 4823.30567. Let f = h + i. What is f rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*l - 5*l = 20, -285*h - 4*l = 766 - 152 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = l + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/24 - 8)\/(9\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w + 88*w - 22*w)*(7 + 2 + 2).\nAnswer: 825*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 10*r**2 - 3*r + 5. Determine p(-7).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38235 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-525)\/340*(-688)\/602?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20714*q**5 - 12326*q**5 + 3752*q**5)*(3 - 2 - 3).\nAnswer: -24280*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 7*w**2 + 5*w - 9. Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36902, -73803, -110730, -147683, -184662, -221667, -258698?\n\"Answer: -13*l**2 - 36862*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 - 4*c**2 + 3*c**2 + (-71*c + 110*c + 112*c + (4*c - 3*c + c)*(4 - 3 + 1))*(2*c - 3*c + 2*c) in the form t*c**2 + q*c + b and give t.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, o: 3}. What is prob of sequence jojj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2 - 4*u - 1. Let l be z(-6). Find the common denominator of (-38)\/133 - 2\/l and 15\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*s**2 + 1912*i**2 - 1260*i*s**2 with respect to s.\nAnswer: 2*i**2*s - 2520*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89927 divided by -21?\nAnswer: -89927\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 10:04 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.3765 minutes to days.\nAnswer: 0.604428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -684241*b. Let s(u) = -5*u. What is n(s(k))?\nAnswer: 3421205*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 556379607 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let x be r(0). Suppose -9 = -g - x*g - 3*p, -g - 9 = -3*p. Suppose -6*q + q + 60 = g. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * -4327.\nAnswer: -9952.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5 * 0.09114.\nAnswer: -0.68355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) -28.7 (c) -1\/8 (d) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or -396?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5849 divide 87738788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23632 (base 7) to base 10\nAnswer: 6148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(28) + -1 + sqrt(56)\/(sqrt(40)\/sqrt(5)) + ((1 + sqrt(7) + 5)*3)**2).\nAnswer: 333*sqrt(7) + 1158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 65.4. Which is the third biggest value? (a) -0.5 (b) -4 (c) z (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*z + 14 = 0, 4*v + 28 = 4*z + 12. Let b be ((-81)\/(-84))\/((-6)\/(-16)*-1). Is v > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30382045 to the nearest integer?\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.064 and -1348.\nAnswer: 86.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 4*q**2 + 5*q - 4. Let s be y(2). Let z be s + (-608 - (1 + -1)). Is (4 - 4\/2)\/((-4)\/z) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mouommmojjmomommmjmm. Give prob of sequence jj.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1898.\nAnswer: 3\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-16 - -16 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o - 3*o)*(-2*o**3 + 2*o**3 - o**3) + (-357*o - 47397 + 47397)*(2*o**2 - o**3 - 2*o**2).\nAnswer: 356*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 18*n - 20. Let h be a(19). Let c be (-1 - h)*2\/2. What is the closest to 1\/4 in c, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - 7.06. Let h = k + 2. Let p = -22406.2 - -22406. Put 3, 0, h, p in descending order.\nAnswer: 3, 0, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5, 2 = 2*k - 5*u + 3. Let q(l) = 4*l**2 + 1. What is q(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 35141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1479, -50, -4 in ascending order.\nAnswer: -50, -4, 1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*z)*(-5*z + 4*z + 0*z) - z**2 - 43*z**2 + 13*z**2 + 2*z**2 - z**2 - 2*z**2.\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 25. Let z be g(-6). Let s = -59 - z. Calculate the remainder when ((-8)\/(-6))\/((-16)\/s) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 954503496 divided by 4.\nAnswer: 238625874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -28. Calculate the highest common divisor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -55.9. Let z(k) be the first derivative of k**2\/2 + k + 2. Let i be z(2). Is i >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m**3 + 3*m**2 + 3*m + 5. Let q(k) = k**2 + k + 1. Determine -3*q(w) + t(w).\nAnswer: 17*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 - 4*v**2 + 5*v**2)*((-v - 2*v + v)*(182 + 27 + 19) - 3 + 2*v + 3) in the form m*v**2 + c + x*v**3 + g*v and give x.\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o**4 - 26*o**2 + 26*o**2)*((-5 + 3 + 0)*(1 - 3 - 2) - 1 + 1 - 1).\nAnswer: 98*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6964927.2 nanoseconds?\nAnswer: 0.000001934702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -449 (base 13) to base 2.\nAnswer: -1011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*(-21)\/56?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 45. Suppose -q - k - 5 = -c, 5*q - 5*k - 145 = 0. Let y = -14 - -28. Solve 5*v + 3*h - 2*h - q = 0, -y = -2*v + 4*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1035?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11879063 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from {l: 2, r: 4, a: 7}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddahd. What is prob of sequence dhda?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2530*q - 6234. Let t(k) = -2522*k - 6236. Let r(x) = 5*t(x) - 4*v(x). What is the first derivative of r(p) wrt p?\nAnswer: -2490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14298? (a) -5 (b) 0.8 (c) -2\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.8, 4, -0.5, -32?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.771589 decades to years.\nAnswer: 57.71589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(1\/1) - 1680\/(-140).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.27 + -0.4. Let n = 0.13 + k. What is the closest to 1 in 0.1, n, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246 - -242. Let o = 17.6 - 12. Let i = -6 + o. What is the third smallest value in 0.4, x, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 - (-2)\/8. Let t = 4.06 + -0.06. Which is the closest to n? (a) 0.2 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b291 (base 14) to base 12\nAnswer: -33bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -5*x + 2*b, -1 = -3*b + 8. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6144331.\nAnswer: 37, 166063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 2)*(-1 + 1 - 1) - 3 + 8 + 2 - 2)*(-56 - 37*i + 56).\nAnswer: -74*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -72.3 and -376811.\nAnswer: -376883.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + p - 2*p = 195, -12*f - 5*p + 3216 = -17*f + 3431 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49931\/5 - -9982. What is the second smallest value in 0, -0.4, -3.3, g?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.2, -1\/3, -3\/2 in decreasing order.\nAnswer: 12, -0.2, -1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 6 (c) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u**2 + 109*u - 25. Give t(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8457 + 8450. Let c(i) be the first derivative of i**5\/60 + i**4\/4 + i**3 - 3*i**2\/2 + 1. Let l(p) be the second derivative of c(p). Determine l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127752*v**5 + 237660*v?\nAnswer: 2555040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 171, 178, 199, 240, 307, 406?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 + -17)*(-18 - -1). Let c(r) = -r**2 - 18*r - 5. What is the lowest common multiple of 12 and c(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(3\/5)*s)\/s)\/s**(1\/4)*(s**(-1))**(1\/38))**(-2\/29))**(-17) assuming s is positive.\nAnswer: s**(8551\/5510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 133840*p**2 - 133841*p**2 - 3 - 4. Let u be -8 - (-3 + (-4 - -4)). Determine m(u).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2 - 807*i + 14222. What is w(18)?\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 29 = 2*o - 2*f, -5*o - 2*f = -27. Suppose -o*y - 28 = -14*y. Calculate the lowest common multiple of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185 - -1297\/7. What is the closest to -1 in -5, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305306467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 t, and 1 r when four letters picked without replacement from tegqrredrerdtq?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 14) to base 2.\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let l be 19\/3 - (-2)\/(-6). Let j(b) = -4*b**2 + 32*b + 559. Let v(g) = -g**2 + 8*g + 131. Let u(a) = 4*j(a) - 17*v(a). Give l*m(o) - u(o).\nAnswer: -o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2484159 divided by -17.\nAnswer: 146127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*l**5 - 2*l**2 + 12*l + 1 wrt l.\nAnswer: -15960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74928735.\nAnswer: 3, 5, 7, 79, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - 22) + 32 - -16\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116512 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2661102um?\nAnswer: 0.0002661102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*s + 3*o, -o + 1 = 4*s - 3*s. Solve -11 - s = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2617, -2638, -2659, -2680?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414, -2\/13, -5, 0.4.\nAnswer: -5, -2\/13, 0.4, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17674451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y + 1 = 41*y. Let q be (1 - 0)*y - 162\/(-243). What is the nearest to q in -0.1, -5, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = -4*m, 0*b + 5*b = 4*m + 23. Sort -4, -9, 1, m in descending order.\nAnswer: 1, m, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + -405623?\nAnswer: -406020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:52 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 2)*(3*x - 2 + 2).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 568 and 46?\nAnswer: 13064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.54795 times 408?\nAnswer: 1039.5636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/6230543 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 290?\nAnswer: 7\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13701 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4049 = -545*t + 15827 + 2937 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 98*m**2 - m - 4. Let g(p) = p**2 + 1. Let q(w) = 2*g(w) + x(w). Is 33 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -616911 by -205637.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -19. Let c(i) = 7*i**2 - 9*i + 0*i - a + i**3 + 3. Let p be c(-8). Sort p, -1, 2 in descending order.\nAnswer: 2, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3584 - 3584.000005906. Round q to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s. Let h(j) be the first derivative of 0*j - 13\/3*j**3 + 0*j**2 - 35. What is h(f(c))?\nAnswer: -2925*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3941493947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/(78\/(-27)). Which is the third biggest value? (a) 5 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1236693*d + 344838?\nAnswer: 1236693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*u = 12498 + 6521. What is the highest common factor of u and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1065.395 - -0.0051677\nAnswer: 1065.4001677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + n**2 - 9*n**2 - 2*n + 224*n.\nAnswer: -n**2 + 222*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 5*t**2 - 6*t - 1. Let c be a(-4). Let z(w) = w**2 - 3*w - 4. Is z(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49e8 (base 16) in base 12?\nAnswer: ab48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19000272 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, p: 2}. Give prob of picking 1 p and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.3 - 2.3. Which is the nearest to 2? (a) y (b) -5\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2468*2710.\nAnswer: 6088.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.67994ns?\nAnswer: 0.00367994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*sqrt(56)*2)\/(sqrt(88)\/(sqrt(22)\/sqrt(2)))*2.\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/4 + 2\/8. Suppose -1\/2*l + 0 + 0*l**3 - 2*l**4 + 3\/2*l**v = 0. Calculate l.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-24 - -11) - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170849.8 millilitres to litres.\nAnswer: 170.8498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828 is divided by 100?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = 3*o. Let i = o + 5. Suppose 4*v - 12 = 4*a, 4*v - i*a - 17 = a. Solve -b = b - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**6 - 2*k**5 + 5568*k**4 - 506092*k**2 wrt k.\nAnswer: 240*k**3 - 120*k**2 + 133632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + k**3 + k**4 + 5*k**4 - k**4 + 0*k**4 - 1 + (9323 - 9323 + 112*k)*(3*k**3 - k**3 + 0*k**3) to t*k**4 + c*k**3 + i*k**2 + d*k + w and give t.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*(28\/16)\/1 - 3. Suppose -10*k - 5*g - 17 = -6*k, 4*k - d = 2*g. Solve 5*y = -0*y + 2*a - 26, 2*a = -y + k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 9, f: 2, g: 8}. What is prob of picking 2 f, 1 w, and 1 g?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - 8) + -12550*(-5)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:32 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -379*t**2 + 17*t + 378*t**2 + 65*t in the form k*t + g*t**2 + s and give k.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/136 and 10\/27.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3\/3 - 11*c**2\/2 + 11*c + 186. Let l = 16 - -1. Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q - q + 2*q + 278*q - 1300*q - 387*q + (1 + 2*q - 1)*(3 + 1 - 2).\nAnswer: -1407*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 21, 46, 81, 126?\n\"Answer: 5*n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1008 + 1956. Is s a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3 + (-2 + 1 + 4)*(2 - 4 + 3) - 2 - 1 + 4 + 1 - 1 + 2)*(-511*y**2 + 745*y**2 - 419*y**2).\nAnswer: -1295*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10381*y + 5156*y + 5106*y.\nAnswer: -119*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 19. Suppose 3*h = s, 24 - 2 = -3*s - t*h. Is -1082*(1 - s\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 3 - 2 + t - 4*t**3. Suppose 0 = -2*k - 3*k - 5. What is the units digit of y(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16927 - -15193?\nAnswer: 3100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(((-3976)\/142)\/5040)\/((-6)\/40)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-168)\/(-2) - -4*1. What is the highest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019439166 rounded to seven decimal places?\nAnswer: 0.0001944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428 and 5243.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 82*y - 359. Determine v(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 - 1161\/(-15)) + 6\/(-15) is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(85) + (sqrt(85) - -1*sqrt(85))) - (sqrt(85) - sqrt(85)*1 - sqrt(85))*5)\/(-4*sqrt(5)*2 + 1*sqrt(30)\/sqrt(6) + sqrt(5) + sqrt(5))*-2)**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + 30\/(-3))\/(-1). Suppose n - 4*o + 6*o - 27 = 0, 27 = n + h*o. What is the greatest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*u**2*y - 54463*u**2 + u*y + 724*y wrt y.\nAnswer: -61*u**2 + u + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7786*j*k**3 - 256*j*k**2*o - 3*j*k*o - j*k + 2*j + 7*k**3*o - 13*k**2*o wrt k.\nAnswer: -46716*j + 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/15)\/(6\/(-180)). Let l = 23 + t. Find the first derivative of -4*h + l + 3*h + 6*h wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 0. Let x = n + -6. Let k = 724 + -729. What is the third biggest value in x, 0, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 392, -88, -1.\nAnswer: -88, -1, 26, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u - 50*u + 1392 = 0. What are the prime factors of u?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*-1 - 22152\/(-1560)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386 + -386.1. Let f(a) = 16*a**2. Let d be f(-1). Let x be (2*1)\/(d\/6). What is the third smallest value in k, 2\/13, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5 = 5*b, -1 = 5*b - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/36)\/(((-120)\/180)\/(16\/(-108))).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391538059 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 15. Let s be z(6). Find the second derivative of -7*t - t**3 + 14*t**s - 3*t wrt t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 8. Let g be z(-11). Factor i + g*i**2 - 4*i - 3 - 2*i**2 + i.\nAnswer: (i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 12*y + 10. Let x(q) = -2*q**2 + 23*q - 22. Let a(h) = -7*k(h) - 4*x(h). Calculate a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 6*w - 2*w - 7*w - 5 in the form z + a*w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 10*o**2 + 7*o + 4. Determine d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from {v: 4, p: 3, k: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 544. Let n be p(-22). What is the greatest common divisor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 - 3*h**4 - 6*h**4)*(0 + h + 0*h - 2).\nAnswer: -5*h**5 + 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16 - 3*n - 4*n + 3 + 18*n**2. Let k(q) = -q**2 - 3*q - 6. Let i be k(0). Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4625 - -5431. Calculate the remainder when c is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -2*z + 2*h, -3*h = 3*z - 133 - 161. What is the remainder when z is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 2\/3*l**3 - 23 + 1\/4*l**4 + 2*l**2 - l. Determine o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151665 (base 8) to base 10\nAnswer: -54197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:47 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2240 - -2240.198. Is 9 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g\/g**(-41)*g)\/(g*g**22))**(-5) assuming g is positive.\nAnswer: g**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtqqqqqt. What is prob of picking 2 q?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:10 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-627)\/33 + 416\/20\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/28*(0 - 446). Let z = i + -159. Let f = 0.1 + 3.9. Which is the nearest to z? (a) -0.3 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 6:16 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 12 = 0. What is the second derivative of d**q - 2*d**3 - 2*d + d - 4*d**3 wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5674.8 + -5085. What is a rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.1, 2, 5\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/17 - 2306*n\/17 - 502824\/17 = 0. What is n?\nAnswer: -861, -292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -380855\/4 + 93554. Let i = 1674 + h. What is the common denominator of -7\/2 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 116*y = 117*y + 268, 3*y - 252 = -4*h. Calculate the remainder when 283 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907, -3537, -8333, -15631, -25767, -39077, -55897, -76563?\nAnswer: -101411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764, -1533, -2304, -3077, -3852, -4629?\nAnswer: -5408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/129204 and 61\/3182.\nAnswer: 5555772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106614551 - 4?\nAnswer: 106614544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:47 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551870 is divided by 110372?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 3, -69.9, 3\/2?\nAnswer: -69.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or 8738.75?\nAnswer: 8738.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9))**(2\/11) assuming z is positive.\nAnswer: z**(-2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.03*-12648.\nAnswer: 13027.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30\/8*(-4)\/(-12)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**7\/v))*v**7*v*v*((v*v\/(v**(-1\/4)*v))\/v)**(4\/9) assuming v is positive.\nAnswer: v**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:33 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.473 smaller than 1.4376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 13*f**5\/5 + 10*f - 4. What is the derivative of b(y) wrt y?\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.23 - 4.73. What is the biggest value in 1\/4, 0, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 + -4 + (-12)\/(-4). Find the second derivative of -16*v**3 - 7*v + 4*v - t*v wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-11) + 5*12\/(-330). Which is the third biggest value? (a) -0.3 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s**2 - 16*s - 2 + 4*s**3 + 2 + 0*s**2. Let w = 34581 + -34580. Let c(t) = -t**2 - t. Give w*n(a) - 16*c(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 55*k - 104. Let l be j(4). What is the highest common divisor of 551 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1530\/11 + -46241\/330. Let o = -4897 + 48909\/10. Calculate the common denominator of o and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-28) - (-12)\/21. Suppose 3755 = 5*o + s + 4*s, 4*o - s - 3024 = q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033814 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3 - 0)\/(3435510\/(-1035)). Is x greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 37*o**3 + 3 + 1 - 14*o**3 + 15*o**3.\nAnswer: -36*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4026\/5, 12, -1?\nAnswer: 4026\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 847 (b) -1\/19 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 plus -0.54?\nAnswer: -115.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1308*r + 4255 = 1345*r. Let s(o) = -2*o + 5. Let c(d) = -d - 1. Let w(g) = -4*c(g) + s(g). Let f be w(7). What is the highest common divisor of f and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158918023 to the power of 1\/2, to the nearest integer?\nAnswer: 12606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*j - 373 + 746 + 246*j - 373 - 157*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 95532534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m + 75 - 62 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14110 - 14109.998578. What is l rounded to five dps?\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.29 or 2525.8?\nAnswer: 2525.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from cbecvbcceeecbecvvec?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -5130.8 and -42.\nAnswer: -5172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 468 + -666. Let j = 689 + v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.00699? (a) 5\/3 (b) 1\/17 (c) 3 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 843761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4521 + 4536. Solve -114 = -v*s - 23*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:12 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.5, 3861\/5, -4, 1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 248*k**2 - 4*k - 5. Let r be p(-1). Suppose -3*b + 3*l + r + 32 = 0, 4*b - 3*l - 369 = 0. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2279, 2, -15 in ascending order.\nAnswer: -2279, -15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2 - (-4 - (455\/(-26) - -10)). Which is smaller: f or -2\/32907?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 9*z - 21. Let w be d(3). Let o be (3 - 3) + -1 - w\/(-2). What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 - 1761*f**3 + 5256*f**2 + 12*f - 7008 = 0. What is f?\nAnswer: -1, 2, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f = 61*f + 4. List the prime factors of (0 - 13\/2)\/(f\/(-12)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 35 = 4*s - 6, 0 = 2*n + 2*s + 20. Let x = n + 151. What are the prime factors of x?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p - 24. Let b = 22 + p. Suppose 16*s = 12*s + 24. What is the lowest common multiple of s and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283009 by -6.\nAnswer: 283009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159742?\nAnswer: 2, 229, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 90 = -12. Suppose -40 = 5*j + 3*l + 2*l, j = 3*l - 24. Calculate the lowest common multiple of c and (-2)\/8 - 135\/j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11 + 56 = 0. Suppose -m = -6*r + r. Calculate the remainder when -3*(-3)\/((-9)\/(-16)) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-2))\/((4662\/(-84))\/37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 6 = 10*h. What is the nearest to 0 in -24, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*p**3 + 2*p**2 + 7*p**4 + 5 - 6*p**4 - 250*p**3 in the form i + b*p**4 + r*p + m*p**2 + d*p**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 104, 268, 486, 752, 1060?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1.89, 12085 in ascending order.\nAnswer: -4, -1.89, 3, 12085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + d - 4 + 91, -12 = -u - 3*d. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 2 + 3362*d**2 + 3260*d**2 - 7318*d**2 + 0*d.\nAnswer: -696*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934442 equal to 7934444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113036121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203.7 - 195. Let l = d + -9. Sort 3\/5, l, 0.1 in increasing order.\nAnswer: l, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/109 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uimpqmuoppoqup. Give prob of sequence iom.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 182548 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332638165, 665276331, 997914497, 1330552663, 1663190829?\nAnswer: 1995828995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0 + 0*x + 1 - x. Let z be i(-5). Is z*((-16)\/(-6) - 2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14190.8 - 0.010509?\nAnswer: 14190.789491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 68, 57, 46, 35, 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((21330\/(-60))\/(-79))\/(-39)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/12 + 11*c. Let m(w) = -w - 1. Let y(h) = 4*h + 6. Let p(z) = -6*m(z) - y(z). Determine p(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 150 (c) 6 (d) -2\/3 (e) -6\/245 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.3 (c) -12 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -2*g**6\/15 - 5*g**3\/6 + 25*g**2. Find the first derivative of q(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2 + (-2 - 1 + 1)*(-2 + 0 + 0))*(-38*f**2 + 38*f**2 + 7*f**3) in the form a + y*f**3 + c*f + n*f**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 16*q**2 + 3*q + 41. Let p be x(-16). Let s be -50*((-42)\/(-30))\/p. Solve 3*t + c + s = 0, 0 = -5*t - c + 6*c - 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5637306 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -139. Let k = q - -74. Suppose k*w - 1066 + 302 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2107 (b) -8 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 + 48*c + 309. Let t(v) = -9*v**2 - 94*v - 617. Let w(d) = -5*f(d) - 3*t(d). What is the remainder when w(-8) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(896))\/(1*sqrt(8) - ((sqrt(98) - sqrt(98)*-1) + sqrt(98) + sqrt(98) + sqrt(2)))*1 + -1.\nAnswer: -16*sqrt(7)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111567303?\nAnswer: 3, 3209, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345185 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) 662 (c) 1\/17 (d) -2\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*t - 10, t + 5 = -5*c + 22. Is 25 a factor of (-4227)\/(-13) - c\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244365 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 less than -545.80708762?\nAnswer: -576.80708762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10202 - -10?\nAnswer: -10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4132 + 2854?\nAnswer: -1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l = -2*a - 34*l - 2, -4*a - 4 = -2*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5*u - 11 - 4*u + 3.\nAnswer: -9*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5806555 or 5806549?\nAnswer: 5806555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:41 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 28. Suppose 60 = 6*w + 78. Let f be s(w). Is f not equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10365 (base 8) in base 4?\nAnswer: -1003311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc - 56?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 + 3*t + 1. Let h be (-22)\/6 - (-942)\/1413. Let l(j) = 5 + 2*j - 3 + 6*j**2 - 1. Calculate h*l(q) + 2*g(q).\nAnswer: -4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -58\/3, 4, 5.09, 0.1, 5, -0.4 in decreasing order.\nAnswer: 5.09, 5, 4, 0.1, -0.4, -58\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 363\/(-44)*99464\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-19)*g)\/(g\/((g**12*g)\/g*g)))**(-3\/8))**(-1) assuming g is positive.\nAnswer: g**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2664 and 349428?\nAnswer: 2096568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3) - (-1 + sqrt(3) + 2)) + -1)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(117\/27)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -34 - 22 - (27 - 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42b (base 13) in base 7?\nAnswer: -2036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1 + 1 + 2 - 29*z. Let p be j(-3). Let r(k) = k**2 + k + 13. Let a be r(0). What is the highest common divisor of a and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3702, 7536, 11412, 15324, 19266?\nAnswer: 23232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 290194*a. Let d(g) = -5*g. Calculate i(d(p)).\nAnswer: -1450970*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 + 1035 - 9*r**3 - 347 - 343.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13833240 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w. Let l(q) = q**2 - 6*q. Let d = 68 - 45. Let z = d + -27. Calculate z*l(k) - 5*f(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa532 (base 13) in base 11?\nAnswer: -1a0834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -297941.311 rounded to the nearest one thousand?\nAnswer: -298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13201 = 2394*y - 2701*y for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and -25\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y + 10. Suppose 0 = -y*p + 6*p - 32. Is ((-23)\/(-4))\/(p\/224) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -0.1, 0.12 in ascending order.\nAnswer: -32, -0.1, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2 - 5. Suppose -b + 413 = -4*x, 0 = -3*b + q*x + 704 + 535. Suppose b = 5*f - 2*k, 2*k - 3*k = -3*f + 248. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 - 2*p**4 + 2*p**4)*(-16 + 1 - 9) + p**4 + 0*p**4 + p**4.\nAnswer: -70*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m**2 - m + 424. Let g(z) = 6*z**2 + 212. What is -5*g(f) + 2*t(f)?\nAnswer: 2*f**2 - 2*f - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 494\/244*(4 + -6) - (58 - 4092\/66)?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -2, -3.7, -1\/3, 0.2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143144, 286284, 429426, 572570, 715716, 858864?\nAnswer: 1002014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r - 48*r = 24. Let t(k) = -3*k**2 - k - k + 2*k**2 + k**3. Determine t(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 561728 = -151*u. List the prime factors of u.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*w + 8637, 0 = 6*a - 5*a + w + 2879. Let g = -1317 - a. What are the prime factors of g?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 16*i + 475. Suppose 33 = 8*h - i. Suppose -17*m = -h*m - 17. Calculate the remainder when 48 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302*m - 4584 - 4591 + 9178)*(4*m**2 - 3*m + 3*m)*(0*m + 2*m + 0*m).\nAnswer: 2416*m**4 + 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 64 = -24. Solve 0 = 5*s - 2*x + 33, j*s - x = -16 - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4362 (base 7) to base 14.\nAnswer: -7d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 47*r + 248. What is x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:40 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*v - 5, 12 = -l - 2*l. Let j be ((-8)\/6)\/((-2)\/v). Let f(i) = 4*i. Let n be f(1). Solve j*o - 1 = 3*t, -3*o + n*o = 3*t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/110*5\/(-15)*2*-20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/25)\/(-1*2\/20). Suppose 29 + x = 5*j. Suppose 11*k - 14*k = -j. Solve -2*h + k = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 15. Let w = 89 + -87. Differentiate c*k + 6 - w*k**4 - 7*k with respect to k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -10. Let b = w + -15. Let z = b - -22. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -247. Suppose -12*b - r = -14*b. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 6447*s - 5649*s + 529*s + 6*s**2.\nAnswer: 10*s**2 - 11567*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + a**2 - 2*a**2 + 4*a - 4*a - a**2 + (2*a**2 + a**2 - a**2)*(0 - 1 + 3) - 4 + 4 - 2*a**2 - 62*a**2 - 93 + 93.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*l - 1031*l - 1302*l - 1039*l + 5444*l - 1035*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 480347\/24 + -20016. What is the common denominator of u and -83\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/15 - -278\/465. Which is the nearest to 0.1? (a) v (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -492318 and 0.1.\nAnswer: -49231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 8:59 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 10602?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - 7\/4. Let p be ((-7)\/(-4))\/(r\/8). Let n = 713 + -712. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-726)\/770 - 4\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -400619 <= -400616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p + 12*p - 19*p)*(2 + 2 - 2)*(-2 - 2*p + 2) to y*p**2 + j*p + b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3*(-5)\/(-3). Suppose -5*i - 3*c = -22, 23 = 5*i - 0*i + 2*c. Sort i, 4, t in increasing order.\nAnswer: t, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 32. Let d(c) = -10*c - 5. Let y(b) = 5*b + 3. What is u*d(m) - 5*y(m)?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56242 is divided by 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 256626b9 + 4?\nAnswer: 256626c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:10 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 1. Let u(i) = i**2 - 2*i - 4. Let p be u(4). Let q be -3 - ((-39)\/9 + 1). Sort q, v, p.\nAnswer: v, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1234651638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8516531.00146 + 8516608. Let b = 77 - o. Round b to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:19 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7.499 * -1442\nAnswer: 10813.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/16128 and 23\/1088.\nAnswer: 274176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 less than -47011?\nAnswer: -47127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.664 - 2.664. Let i be (16 + -14)\/((-4)\/(-10)). Which is the closest to 0? (a) 21 (b) i (c) j (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.071 - -1367.49.\nAnswer: 1363.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than 22458\/1601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 267.55 and 0.116.\nAnswer: 267.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 20122206772 and 0.4.\nAnswer: 20122206772.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 - 5*k**3 + 1 - 4*k**3 + 0*k**3 + 2*k**2 - 2*k**3 to r*k**2 + j*k**3 + a*k**4 + d*k + b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 191323, 4, -1 in descending order.\nAnswer: 191323, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3*h**4\/4 + 80*h**3\/3 - 61*h**2\/2 + 4*h + 1295. What is the second derivative of z(r) wrt r?\nAnswer: 18*r + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from hhbwhhhbbbhhwbh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20217 by 1478.\nAnswer: -20217\/1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 37050*c + 13455*c + 34495*c. Let r(t) = t - 13. Let k be r(11). Let p be g(k). What is p rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 184 - (-92 - -136)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, h: 2, p: 2, a: 1, l: 2, z: 8}. What is prob of sequence lzp?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v. Let f(t) = -102*t - 3 + 3 - 126*t**2 + 102*t. Calculate f(p(n)).\nAnswer: -21294*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 2 + (-9 - -18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 9) to base 6.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-18))\/(5\/(-20)). Let y be 1\/4 + 13\/(-4). Sort n, -2, y.\nAnswer: y, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 11*g**4\/12 + g**3\/2 + 3*g**2\/2 + 2*g - 5. Let j(f) = 56*f**2 + 16*f + 16. What is -16*i(d) + 3*j(d)?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a - 142. Let i be f(18). Let n(k) = -385 - 384 - k**i + 10*k + 777. Determine n(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (473 + 363 - 1068)*((0 - 2 + 4)*(0*q + 0*q + q) + 6*q - 2*q + 0*q).\nAnswer: -1392*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(18\/(-86)) + 152\/(-684). Let t(s) = 14*s**2 + 5*s - 13. List the prime factors of t(b).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 17. Let k be j(-12). Suppose -16 = -k*r + r. Solve -5*s - a - 3 = 0, r*a + 6 = s + 2*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924 divided by -154.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1505*l - 403 - 2607 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414028 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 - 15*v**2 + 13*v + 16. Let j(c) = -9*c**3 - 29*c**2 + 26*c + 31. Let h(f) = 7*i(f) - 4*j(f). Let z be h(-12). Solve z*u + 2 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*c - 3 + 1, 0 = 4*q + 4*c - 36. Suppose -2*n - 2*a = -65 - 57, q*n - 251 = 3*a. Let i = -36 + n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*a**2*k**3 + 97856*a**2*k**2 + 2*a**2*k + 212*a*k**3 + 36*k**3 + 48 wrt k?\nAnswer: -852*a**2 + 1272*a + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 313, 332, 369, 430, 521, 648, 817?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:58 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/9*3\/(-2). Solve -4*p + 37 = 5*w, -3*w - n*p + 35 - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 51*y - 588. Let g be b(-63). Solve 8*p - 184 = -g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 55 = -3*f, 5*g + 3*f - 131 = 4*f. Solve -g*x - 39 = 143 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2952*y + 3585*y + 1014*y to the form i*y + l and give i.\nAnswer: 7551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8605 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*x**4 + 70*x**2 - 2*x**3 - 78*x**2 - 3 in the form o*x**2 + f*x**4 + i + q*x**3 + t*x and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(1*-1) + 1691\/(-1246).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = 4*j - 2*b, 2*j + b = 2. Calculate the remainder when 17 is divided by j*9\/(-30)*-15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 2*q = 1574, 2*n - 1047 = q. Let l = -233 + n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-174)\/29*2\/(-2*1). Solve -i = -7*y + 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5173 and -0.3.\nAnswer: 0.2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1404 and 133\/12636?\nAnswer: 12636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.4. Let b = 729\/2 - 363. Let m = 0.2 + -0.6. What is the nearest to o in -2, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 8, 42*n - 43*n = 5*w - 10733. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z = 3. Suppose 0*h + 1058 = 4*h + z*l, 4*h + 2*l = 1056. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-7)*((-234)\/390 + (-9)\/15)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.1 (c) -34 (d) 0.4 (e) 1\/2515\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15)*63630\/(-1010)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.089*-4.\nAnswer: -8.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94799.2690953 - 94710.2691. Let r = q + -89. Round r to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 12*h**2 + 16*h + 14. Let s be z(-13). Let g be s\/15*(2 - -1). Sort -2, 4, g in descending order.\nAnswer: 4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.890654 years?\nAnswer: 0.01890654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 7:46 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32627 is divided by 227.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172400443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/3 + (-6)\/(-18). Let u be 3 + (3 - (3 + s)). Let n(p) = 6*p. Let y(b) = -19*b - 1. Let w(f) = u*y(f) + 14*n(f). Differentiate w(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**5\/15 - f**4\/6 + 9*f**2\/2 + 2. Let g(y) be the second derivative of t(y). Factor g(n).\nAnswer: -4*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4758 + 4762. Suppose 1\/4*u**3 + 0*u + 1\/4*u**a + 0*u**2 + 0 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.1076132.\nAnswer: -0.6456792","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 336. Let q = -9564\/1265 - 10\/253. Calculate the common denominator of q and 3\/7 + 3764\/g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w + 77*w = -63 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 7*j - 1. Let k(m) = -49*m + 26*m + 3*m**2 + 36*m + 2. What is 6*k(i) + 11*y(i)?\nAnswer: -4*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 559657 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 237596 - 164090. Suppose -3*c = 12303 - r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.99 from 133.22.\nAnswer: 135.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 122977*x + 1106803. What is l(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w + 1. Let p be z(-1). Let h(x) = 3 + p*x - 2*x + 5*x. Calculate h(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4992000 or 4992005?\nAnswer: 4992005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e1 + -a?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 - t - 6. Let r be l(-6). Suppose 3*v = -r*v. Solve -3*a + 0*a + 9 = v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 116. Let j = y - 43.3. Let a = 7 + j. What is the nearest to -2\/3 in a, -1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 7*h + 9. Let o be w(7). Let g = o - 12. Let l = g - 2. What is the biggest value in -1, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*d - 6107, -6608 = -5*d + 4*c - 497. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -27) + -1 + 2 + -36 + (56 - 47)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -0.3. Let u = 17.6 - 63. Let t = u + 45.2. Which is the nearest to t? (a) n (b) -2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092 + 14940?\nAnswer: 18032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*-4*42\/1120*(-2)\/20.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -220*f**3 - 3*f**2 - 3. Let z(o) = 3300*o**3 + 44*o**2 + 44. Give 44*d(u) + 3*z(u).\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2. Let r(u) = -12*u + 4. Let c(i) = -26*i + 10. Let h(t) = -2*c(t) + 5*r(t). Calculate l(h(f)).\nAnswer: -448*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Suppose 0 = 5*g + m*u - 15, 5*g - 3*u - 12 = g. Suppose 3*i - i - g*n = 22, 5*n = 20. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*n - 125263 = 84401. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)\/(4\/60*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 42 = 10. Let k be (-4 - u)\/(4 + -6). Solve z = -k*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:20 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/60 - 7*v**4\/24 + v**3\/3 - 90*v**2. Let a be n(-7). Factor -1\/3*h + 1\/6*h**a + 1\/6.\nAnswer: (h - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 648 - 647. What is the nearest to 0.6 in 1\/2, -2\/25, 3, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Suppose w + p = 2, 0*p = h*w - 3*p - 1. Let k(r) = 40*r**3 - 2*r**2 + 1. Is k(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x + 2, 24 = 4*j + 4*x. Solve 0 = -2*u, -1 = -3*f + j*u + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -13*c - 32. Suppose 3*f - c*f = -254. List the prime factors of f.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**2 - 176*u + 176*u + (-3 + 2*u + 3)*(-u - 4*u + 3*u) - 1 + 1 - u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*o + 1334 - 1329, 5*t = -2*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + sqrt(180) + sqrt(180) + sqrt(180) + 3 + 5 - (1 + 1*sqrt(180) + -2*sqrt(180)*-1))*6)**2.\nAnswer: 5476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-15)*k)**(-3\/2) assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:37 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 240 = u. Let j(o) = 4*o**2 + 3*o - 4. Let y be j(4). Suppose -a + y = 2*a. Calculate the greatest common factor of a and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b = -156*b + 2860. Solve 6*u - b + 70 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 52*l - 20*l + (-1 + 2*l + 1)*(1 - 2 + 2) + 7*l - 87 + 87)*(2*l**3 - 3 + 3) in the form y*l**4 + g*l + c*l**3 + h*l**2 + t and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 3*g**2)*(-10*g**3 + 6*g**3 + 8*g**3)*(-4 + 1 + 0) + (-g**3 - g**3 + g**3)*(-41 + 41 + 6*g**2).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {t: 2, g: 1, v: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11945, -11927, -11905, -11879, -11849, -11815, -11777?\nAnswer: -11735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011200012 (base 3) in base 4?\nAnswer: -110003123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 3*(-100)\/(-18). Suppose 27*j - 23*j = 12. Solve -j*w = w + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.09 (b) 5 (c) 1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 97 + 0?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 0.007 (c) 2\/43 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49870 plus -0.16?\nAnswer: -49870.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9031733 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r**4\/4 - 711*r**3\/4 + 1599*r**2\/2 - 1233*r + 606 = 0.\nAnswer: 1, 2, 202\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 - -5. Which is the nearest to w? (a) -5 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.5 - -9.5. Suppose 6*n + 253 - 247 = 0. Which is the closest to n? (a) u (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*h - 86 = 10*h, -c = 2*h + 74. Are 2\/7 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 339\/7 - 49. Let j = 75 + -70. What is the smallest value in j, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 477*g + 0 + 6*g**3 + 0 - 494*g. Suppose -24 - 12 = -6*q. Let c(j) = 2*j**3 - 6*j. What is q*m(v) - 17*c(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8896483ug?\nAnswer: 0.0000008896483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*b + 345*b + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - d - 17. Give o(5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*w + 37, -17 = -u + 3*w - 6*w. Let j be 18\/4 + (-1)\/(-2). Find the second derivative of 1 - 1 - k**u - k**j - 2*k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*(-2)\/(-3). Suppose -2*h + 6*h + 20 = 0. Let l(f) = f**3 + 6*f**2 + 4*f - 1. Let w be l(h). Put w, n, -3 in increasing order.\nAnswer: -3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/50273 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*(sqrt(325) + -3))**2 - (sqrt(52)\/(sqrt(4)*5*6 - sqrt(4)))**2) + -4).\nAnswer: -120*sqrt(13) + 1110068\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/4 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -0.5, -2, -0.08 in descending order.\nAnswer: 23, -0.08, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 14. Let o be a(-5). Let p = o + -12. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*y + 516*y + 48 = -5*q, 17*y + 19*y = -4*q + 5*y + 3*y - 64 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693 divided by 183585.\nAnswer: -231\/61195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 1. Let w(d) = 3*d. What is 3*b(l) + 3*w(l)?\nAnswer: 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -9 + 3 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-418)\/(-24) + -1 + 2. Let t = p + -59\/3. What is the common denominator of t and -9\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 18*x**2 + 21*x - 9. Let z(g) = -2*g**3 - 36*g**2 - 43*g + 18. Let y(n) = -7*r(n) - 3*z(n). Does 15 divide y(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**7\/21 - 217*b**6\/5 + 32*b**4\/3 + 5*b**2\/2 + 2*b - 261. Find the third derivative of p(f) wrt f.\nAnswer: -120*f**2 - 31248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72893013 is divided by 70?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f**2 + 4*f. Let c be d(3). Suppose -k - c*k + 32 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(4 + -3) - 2. Suppose p = -a*h - 42, -2*p - 60 = -0*h + 4*h. Let k = 61 + p. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1045, -2217, -3389?\nAnswer: -4561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -22 - 19 - 7) + 2 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 424997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126731\/159666 + -1473\/2047. Find the common denominator of 29\/414 and w.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 4*i. Let u(p) = -2*p**2 - 6*p. Let b(h) = 7*s(h) - 5*u(h). What is the units digit of b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 785*w\/4 - 6817\/2.\nAnswer: (w - 802)*(w + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 113 + 97 - 9*x - 189. Determine a(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 times 718?\nAnswer: 94058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (1 + sqrt(17))**2)*-1 + 2 - (3*(sqrt(612) + 0))**2.\nAnswer: -5488 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17879*m - 35686*m + 17807*m + 2000*m**2.\nAnswer: 2000*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*c - 11 = 0, -2*c = 6 - 2. Let r be (-12)\/10*q\/(-2). Suppose -u = -r, -33 = -3*s - 2*u + 3. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 - 35*k**2 - 191*k - 82. List the prime factors of c(-16).\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 901\/12? (a) 3\/1564 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -61718 - 2*s + 61718. Let v(a) = -5643*a. What is t(v(d))?\nAnswer: 11286*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 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: -907a9 (base 11) to base 14\nAnswer: -36531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -12\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 5. Calculate the remainder when (340\/(-51))\/((-4)\/6) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48625 and -0.5?\nAnswer: -24312.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (126\/49)\/(0 + (-2)\/14). Let o be ((-13188)\/(-24))\/(3\/b). Round o to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/1620 - m**5\/45 + m**4\/3 - 19*m**3\/3 - 3. Let x(o) be the third derivative of a(o). What is n in x(n) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:51 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176555955 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 11:01 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + -5 + sqrt(171))**2 + 5.\nAnswer: -90*sqrt(19) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Solve -x*z - z + 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12025477 = 12025471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150956055.\nAnswer: 3, 5, 41, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-42) - 1\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyllllakask. What is prob of picking 2 y and 1 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 15, -60\/97, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386834211 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10281 and -566335?\nAnswer: 556054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13775 and 35549.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(-2 - 3 + 0)*(-4 + 1208*u**2 - 1196*u**2 - 8).\nAnswer: 60*u**3 - 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 582684 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 53\/3*n**3 + 0 - 35\/24*n**6 - 212*n**2 + 0*n - 1\/30*n**5 + 0*n**4. What is the third derivative of h(g) wrt g?\nAnswer: -1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -7*y**6\/360 + y**5\/24 + y**4\/8 - 4*y**2. Let q(c) be the second derivative of m(c). Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**2*z**3 + 14*t**2*z + 321*z**3 - 4*z wrt z.\nAnswer: 6*t**2*z + 1926*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 14*x - 13. What is k(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.7035 - -0.4\nAnswer: -3.3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 17*g**2 + 39*g + 178. Determine z(-17).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1537 + 1546. Solve -i + y*i = -16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/25 + -99\/100. Let t = 39.961 - -0.039. Let m = -45 + t. Which is the nearest to w? (a) m (b) -1\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/9 - 134*i\/9 - 820\/3 = 0. Calculate i.\nAnswer: -15, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 28. Let x be k(15). Suppose x*n = 3*s - 206, 2*s + 2*n = -s + 202. Let v = 99 - s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4086723111 rounded to the nearest one million?\nAnswer: 4087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*(9 + (-4)\/6 + -9). Put b, 3049, 3 in ascending order.\nAnswer: b, 3, 3049","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.028 + 1.452. Let v = g - 0.5. Round v to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2708, 10831, 24370, 43325, 67696, 97483?\n\"Answer: 2708*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 2*(sqrt(85) + (sqrt(85) - sqrt(85)*1)))*-2)\/(sqrt(5) + sqrt(5) + sqrt(40)\/sqrt(2) - ((sqrt(60)\/(1*sqrt(12)) - sqrt(5)) + sqrt(5))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 1. Let n(b) be the third derivative of -49*b**4\/24 - 7*b**3 - 18*b**2 + 4. What is -42*g(p) + n(p)?\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29336.\nAnswer: 2, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.786372375 + -0.03.\nAnswer: 12.756372375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 11783241.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/1*(-1 + (-3)\/(-4)). Let a be (1 - (-170)\/r) + -3. What is the second derivative of -42*i + 2*i**5 - 9*i**5 - 13*i + a*i wrt i?\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 75 + -3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 2. Let r be c(2). Let j be -1 - 4\/(-1) - -2. Suppose -a - j*w = -21, -5*a = 2*w + 2 - 38. Calculate the greatest common divisor of r and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.03, 2\/103 in descending order.\nAnswer: 0.03, 2\/103, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 18*g - 6. Determine t(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - q + 17*q + (16 - 8 + 5)*(-2 + 2 + q) in the form y + m*q and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b*b*b**(-3)))\/b)\/b**4)\/((b*b\/(b\/(b\/(b\/(b*b*b**(-2\/7)\/b)))))\/b*b**0)*b**(-5)*b**(1\/5)*b*(b**(1\/4))**(-2\/9) assuming b is positive.\nAnswer: b**(-3509\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 49 - 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 16*j**2 + 49*j - 131. Let g be x(-8). Let c(t) = -7 + 6*t - 8 - 11 + 20. Let q(n) = -17*n + 18. Determine g*c(s) - 4*q(s).\nAnswer: 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 359*g + 567. Is f(50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1214 - -1201 - (4 + -1 + -26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -673 + 748. What is the remainder when 287 is divided by n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52705217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-940*d + 356*d + 432*d)*(6 + 11 - 6 + (3 - 6 + 2)*(0 + 1 - 2) - 1 - 1 + 3 - 2 + 2 + 2)*(1 + 1 + 0) to the form i + t*d and give t.\nAnswer: -4560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 6 + -88 + 11 + 29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20164*d**2 + 45724*d + 25921 = 0. What is d?\nAnswer: -161\/142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17748 equal to -17750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let v(r) = 2*r**2 - 3*r - 4. Let j be v(o). Suppose -h + j = -0*h. Solve -2*m + 3*t - 8 = 0, -2*t + h = -4*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from bxghggggghggxghg.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -116*x - 13 + 188*x - x**2 + 1 - 109*x. What are the prime factors of k(-30)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (-69 - -71 - 42)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - p = 976 - 980, 27*p = 4*q - 2*p + 54 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 0.1, 100 in descending order.\nAnswer: 100, 0.1, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -1\/17, -1.3, -5, -1.6, -18?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:57 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.055331l in millilitres?\nAnswer: 7055.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40179 and 1816?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/4 + 2932\/980. Let i = -17399\/490 - x. Calculate the common denominator of 1\/2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46473727 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b + 40 = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5*z - 20772*b**3*l - 36*b**2*l*z - 2*b**2*l + b**2*z + 195*b*l*z wrt b.\nAnswer: 120*b**2*z - 124632*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 24. Give u(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3798 = -2*s. Is s\/6*4\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppzz when four letters picked without replacement from gzzpgpgg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -95.99 * -24.1\nAnswer: 2313.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 221 or 147?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 21. Which is smaller: l or -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2841774268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 4*a + 6. Let x(l) = 1. Suppose 0 - 18 = -3*p. Let c(t) = p*x(t) - h(t). What is the second derivative of c(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11356, -11359, -11380, -11431, -11524, -11671?\n\"Answer: -2*v**3 + 3*v**2 + 2*v - 11359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 9*s + 52. Let p be w(9). Let n = 430 - p. Is n a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 11) in base 8?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 6*g + 10. Let q(c) = -9*c - 48. What is the remainder when l(7) is divided by q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(80) + sqrt(80) + 1*sqrt(80)))\/sqrt(4)*2.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j. Let g(n) = -129 + 22*n**2 + 97 + 58 + 21*n**2. What is d(g(b))?\nAnswer: -430*b**2 - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 42?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -161.6. What is the biggest value in 0.1, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**5\/9 + 124*a**4\/3 + 9248*a**3\/9 + 21088*a**2\/3 - 14784*a - 50112 = 0.\nAnswer: -58, -18, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 6*f + 4. Let h be g(-6). Suppose -4 + 20 = h*y. Suppose -4*u + 3*t = -234, 0 = y*t - 0 + 8. Round u to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 295 - 89. Suppose 1962 = 3*s + 198. Suppose -2*t + s = x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1170\/(-184) - 144\/(-24) and 51\/10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*f + 153*f + 17*f**2)*((-5*f + f - 4*f)*(3 + 5 - 6) - 1 + 1 - f).\nAnswer: -289*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 795979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 2*v = -3*b - 27781, -b + 2*v = -5553. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361380 + 538?\nAnswer: 361918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.7759l in millilitres?\nAnswer: 749775.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617) + sqrt(4617)*-1)\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 + 3*b + 5. Let o be i(-4). Let h = 0 - o. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 553882000 to the nearest 1000000.\nAnswer: 554000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 99371320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2731 - 2416. What is the greatest common divisor of 35 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239825421 a multiple of 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -11 + 25 + -48\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-6))\/((6\/1)\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*r - 14 = -256*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {a: 1, e: 12, z: 7}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 68 + 410 = 0. Find the common denominator of r\/(-84) - 3\/(-4) and -26\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) - (-1 + sqrt(112) + sqrt(112) + 5)**2 - (sqrt(280)*1*2)\/sqrt(10).\nAnswer: -464 - 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -4 (c) -0.5 (d) 19 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 101*n + 161*n + 27*n.\nAnswer: 279*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - w - 31 = -4*w, 0 = -4*h - 5*w + 41 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 - 265. Suppose -v*p - 20 = -25*p. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1, 140 in decreasing order.\nAnswer: 140, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 135*a**2 - 513*a. Let z(m) = 25*m. Determine f(z(h)).\nAnswer: 84375*h**2 - 12825*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1623*u**2 - 3231*u**2 + 1933*u**2. Let q(z) = -4*z**2. What is q(l(k))?\nAnswer: -422500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 7373877.3.\nAnswer: -7373877.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-47)*j*j**(-11))**38)**(3\/34))**11 assuming j is positive.\nAnswer: j**(23826\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -672547 - -0.359.\nAnswer: -672546.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1408 divided by 64\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*p + 4*p. Suppose p*m + f = 5 + 4, -m = -4*f + 2. Let b(s) = s**2 - s + 2. List the prime factors of b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y\/(y**(2\/5)\/y)*y)\/y)*y)\/y*y*y)\/((y*y*y*y\/y**(2\/11)*y)\/y)*y*y**(-8\/5)*y**(-2\/7) assuming y is positive.\nAnswer: y**(-887\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22247325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-k + 3*k - 9*k) to i*k + h and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318 - 151. Suppose h + h + 114 = 0. Let o = a + h. Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuquuqqqq. Give prob of picking 2 u and 1 q.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111100 (base 2) in base 8?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**(-1)\/((z*z**(-4))\/(z*z*(z*z*z**(-2)\/z)\/z))*z**(4\/3)*z\/(z\/z**(-1\/3))*z*(z*z\/(z*(z**(-2\/3)\/z*z)\/z)*z)**(-27) assuming z is positive.\nAnswer: z**(-660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfyyzyf. What is prob of sequence zc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 3, 0 = -3*n + 5*g + 284. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 + 1. Let m(q) = 3*q**3 + q**2 - 4*q - 3. Let p(i) = 2*c(i) - m(i). Let z = -11 + 7. What is p(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09207*-4.\nAnswer: 0.36828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.9 - -15. Let s = -0.19 - m. Let z = 0.31 - s. Which is the smallest value? (a) z (b) 0.1 (c) 0 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u, -5*g + 2*u + 962 = 6*u. Suppose -1 + g = 7*x. Let h be ((-4)\/3)\/((-9)\/x). Solve -3*o + h = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716870?\nAnswer: 2, 3, 5, 151, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*d + 16 + 38 + 58 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24*q**2 + 920*q + 921. Calculate z(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43\/2 + 22. Let i = -0.14 - 0.06. Suppose -4*j = -9*j. What is the closest to j in -2\/5, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 2*g + g)*(702*g**2 + 184*g**2 + 178*g**2).\nAnswer: 1064*g**3 - 1064*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -322 + 0*l**2 + 10\/3*l**3 + 0*l. Let k(i) be the first derivative of 2*i**3\/3 - 1. Determine k(g(t)).\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*j - 1330, -2*j = -5*l - 6*j + 1360. Let c = l - -417. Is 48 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19470 and 777030.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvlvllvvllvvlvvvvvv. What is prob of picking 1 l and 3 v?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546505 by -29.\nAnswer: -18845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -1 - 13\/(-52)*-44?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcfhixiifrirxhfrxhhh. What is prob of sequence hx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38280607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7187454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 20. Let f = -32 + d. Suppose -4*o + f*j + 7 = 0, 4*o - 2*j = -0*j + 10. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 + 2397 = -3*g. Suppose 0 = -36*m + 31*m - 4*j - 18, 4*m + 16 = -4*j. Let v be (60\/(-9))\/(m\/g). What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 10. Suppose -5*o - 3*h - 11 - 5 = 0, 0 = -5*o + h - 28. Let q = w - o. Solve -q = -r - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 320822.7589185833 - -1.8415014167. Let w = 320828 - x. Let n = w + -3.4. What is n rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11411.\nAnswer: 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 15, -5*q + 8 = 6*r - 2*r. Suppose q = -t - t. Put t, 1, 5 in ascending order.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or -436807?\nAnswer: -436807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 6*j - 5. Let d(x) = 3*x**2 - 5*x - 4. Let v(s) = 5*d(s) - 4*i(s). Let t be v(-1). Solve -2*q + t*b = -16, -4*q - b = -2*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123449987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + -3)*2 - (sqrt(125) + -2 + 2))**2.\nAnswer: -120*sqrt(5) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 4)*11985015\/(-210) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.88 - -14. Let n = q + 2.88. Which is the third smallest value? (a) -4\/5 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -444007680 to the nearest one million.\nAnswer: -444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43281?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/8 - -1)*-28. Let u be 1095\/6 + (-4)\/32*-4. Let a be 6\/p + u\/21. Calculate the greatest common divisor of 36 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -9. Suppose 0 = -0*k + 2*k + n. What is the closest to 0 in k, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*b - 35 + 9, q - 2*b + 7 = 0. Let c(d) = -q*d - d**2 + 3*d. Let m(v) = 9*v**2 + 3*v**2 - 11*v**2. Calculate m(c(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262232 = 4138*z + 12751 - 60869 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38626, 35344, 32062, 28780, 25498?\n\"Answer: -3282*h + 41908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111693209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426397635 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01649 rounded to 4 dps?\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1339*i - 2671*i + 1334*i. Let a(g) be the first derivative of -g**4\/12 - 2*g - 2. Let f(o) be the first derivative of a(o). Determine f(b(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Let j = s - 5.4. Sort -4, j, 0.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6218905 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51370, -51436, -51548, -51706?\n\"Answer: -23*d**2 + 3*d - 51350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -5a24517?\nAnswer: -5a24512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/105)\/(75\/15*(-12)\/(-105))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1670, -4, 120645.\nAnswer: -1670, -4, 120645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 40. What is the third biggest value in 5, w, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 9:53 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -204, -457, -812, -1269?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 6*j - j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 98*o**3 + 732*o**2 - 9352*o + 14960 = 0. What is o?\nAnswer: -34, -22, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112760 is divided by 222533.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(12)\/sqrt(6)))\/(sqrt(5) - (sqrt(15)\/sqrt(3)*-4 - sqrt(5))).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-3)\/2)*(-17 - -22)*-6. Solve -u*t - 29 + 104 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249591 is divided by 294.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose h*a + 31 = -89. Let z = a + 46. Calculate the highest common factor of 33 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8*66\nAnswer: 250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 2948 = 0. Is (j\/44)\/(1\/4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20982)\/(-130) + (-4)\/10. Suppose 0 = -3*w + 170 - m. Sort 0, 8, w.\nAnswer: 0, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 55*k**3\/6 - 2*k**2 + 10*k. Let t be (-2 - -7)*((-48)\/(-20) - 1). Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/19)\/(8\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -5. Let k be c\/16 + (-935)\/(-40). What is the highest common divisor of k and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyyqydodo. What is prob of sequence yqm?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033698 to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 26321985*f - 78966000.\nAnswer: 5*(f - 3)*(f + 5264400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**2 - 41*v - 368. Is 27 a factor of l(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (-12 + -19 + 25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 - 1323*y - 19110 = 0.\nAnswer: -14, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/8)*w\/(w**9\/w))\/(w\/(w*w**(-1\/2)*w))**(-3))**(-45) assuming w is positive.\nAnswer: w**(2835\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l - 198 = 72 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:22 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 20, 33, 62, 113, 192, 305, 458?\n\"Answer: w**3 - w**2 - w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76 (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.7, 1.\nAnswer: -0.1, 0.7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 1048862 = -1048810 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 34*f + 65. List the prime factors of (5 - (-18)\/f)*-1114*1.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42139.3 + 42139. Let t = -41 + 38.05. Let h = t - 0.05. Which is the smallest value? (a) h (b) z (c) 2\/17 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4466 * -4.\nAnswer: 17864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Suppose -j + 3*k + 4 = -5*j, 22 = 5*j - w*k. Solve 2*y + 20 = -j*p, y - 10 = -p + 4*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n**2 + 15. Let r(q) = -32*q**2 + 31. What is -11*i(x) + 6*r(x)?\nAnswer: -5*x**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 379932 and 192.\nAnswer: 6078912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*n**2 + 5)*(1025*n + 1144*n + 2699*n + 1867*n).\nAnswer: -13470*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -70.8. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2478 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {m: 2, t: 1, o: 1, z: 1, n: 1, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5003 + 551 + 11110 + 3952)*(-3 + 3 + 2*s) to a*s + i and give a.\nAnswer: 41232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 13. Let g be k(9). Let n(y) = -y**3 - 3*y**2 + 4*y - 4. What is n(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 105. Let c be j(27). Let v(u) be the first derivative of 0 - 3 - u**2 + 2. Determine v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:51 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 408, 1007, 2126, 3927, 6572?\nAnswer: 10223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x + 7. Let t be h(0). Is 26875\/t - ((-57)\/21 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -711, -688, -939, -1602, -2815, -4716, -7443, -11134?\n\"Answer: -23*i**3 + i**2 + 181*i - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663698738 to the power of 1\/3, to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9750\/1125)\/((-2)\/3) + 190\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31\/33 + 14\/11. Let x = c - 1\/9. What is the smallest value in 3\/8, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8445 = 183*w + 153*w + 4124 - 25247 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -m - 4*s, -s + 1 = -m - 2*s. Suppose -3*y = -34 + m. Calculate the highest common factor of 25 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172 and 1376?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:42 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 220 - 12*q - 4*q**2 - 220 in the form m*q**2 + i + g*q and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -18\/11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105012107 to the power of 1\/2, to the nearest integer?\nAnswer: 10248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146664401*h**4 + 96657349?\nAnswer: 586657604*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14888 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 8) in base 2?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.721 - -8.321. What is the third smallest value in 0.4, -5, 3\/7, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b78 - -3?\nAnswer: 1b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*y**4 - 2*y**2 - 404 wrt y?\nAnswer: -4080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-27))\/((-4 - -3)\/12*2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(44))\/sqrt(4) + -4.\nAnswer: -7 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 141744*a**2 + 992094*a + 1133840.\nAnswer: 2*(a - 70865)*(a - 8)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) + (-6)\/20. Which is the nearest to k? (a) -0.5 (b) -2\/11 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 567\/28 - (-2)\/(-8). Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -7259948?\nAnswer: -7259948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*m**2 + 21*m**2 + m - 34*m**2 - 6*m in the form o*m**2 + h*m + u and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2123 + 2173 = -10*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31461869551540.74500077 - 31461869375836. Let q = -175703.005 + y. Let b = 1.74 - q. Round b to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1190*s**2 + 4*s - 6. Let h(m) = -1189*m**2 - 3*m + 4. Determine -4*h(j) - 3*t(j).\nAnswer: 1186*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 21*p - 78. Let c be k(-25). Let q = c - -357. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2007 + -2004. Let q(n) be the first derivative of 0*n + 0*n**2 + 2\/3*n**d - 6. Let s(u) = 18*u. What is s(q(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2608\/153 - 286\/17. Let y = 0.088 + -5.188. Let l = y - -0.1. What is the second smallest value in l, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 335. Suppose -366 = -20*y + 23*y + 4*p, s*p = 6. Sort 5, -4, -5, y in decreasing order.\nAnswer: 5, -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 43 = 13. Solve 0 = -p - 2*p - 3*s, 2*s - o = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**14)\/(q**(2\/45)*q))**(-5\/3) assuming q is positive.\nAnswer: q**(632\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14695?\nAnswer: 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-9))\/5*3\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*g*p**3 - 666*a*p**2 + g*p**3 + 43*g wrt a?\nAnswer: -2*g*p**3 - 666*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 - -3\/5. Let i = -3 + 3. Is q greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:41 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 21*l**2 - 49*l + 5. Give i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p + 14*p + 18*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 8963\nAnswer: 34\/8963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0, -6\/11, -2\/5, 717?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0 - 3. Suppose 0*n - 29 = -4*i + g*n, -i = -5*n + 14. Let l(f) = f**2 + 47*f + 528. Let o be l(-19). Sort 0, o, 2, i in decreasing order.\nAnswer: i, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*x - 4*x + 224 = 0, 0 = -2*i + 3*x + 116. Let g = 32 - 18. What is the remainder when i is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-378)\/(-12))\/((-3)\/(-4)). Suppose w*b + 780 = 45*b. Let l = b + -1304\/5. What is the third biggest value in l, 0.3, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 5792?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006856667 to 7 decimal places.\nAnswer: -0.0000686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 3701741.\nAnswer: 40719151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000063287 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 134?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 5*u**2 - 6*u - 4. Suppose -7*q = -15 + 43. Let i be z(q). Let t(k) = 4*k**2 + 5*k - 15. What are the prime factors of t(i)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, 5, -0.1, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1162*q + 1165*q - 42369. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.81 - 0.61. Which is the nearest to 0? (a) -0.3 (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 4*l)*(5 - 2 - 1) + (1 + 0 + 1)*(-l + 8*l - 3*l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:42 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(180)\/(-1*sqrt(6) - sqrt(6)) + (-1*sqrt(120) - sqrt(120))\/sqrt(4))\/((1*sqrt(120)*5)\/(sqrt(432)*-1)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 97005 + 13722 + 52521 = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.088 and 3.\nAnswer: -54.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 8. Let r be f(1). Suppose r*b - 2*u = 82, 2*b + 4*u - 3*u = 40. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -10*m + 1409. What is the least common multiple of (66\/(-7))\/(1\/(-7)) and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -179. Suppose -14 = -y*i + 35. Suppose 68 = 5*n + 13. Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*w**3 + 2*w**2 - 5*w**2 + 2*w**2 + 62*w**3 + 64*w**3.\nAnswer: 3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.4 + -1.6. Let d = 0.71 + -0.21. What is the biggest value in 6, a, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*n = 2*r + 1450*n + 21, 2*r - 3*n = -11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -346, 1, 9, -36 in decreasing order.\nAnswer: 9, 1, 0, -36, -346","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 2143033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 6*o**2 - 2*o - 2. What is the lowest common multiple of (-2 - -24)\/2 + 3 and f(-5)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015801 is divided by 1024?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/8 - 9*q\/4 = 0. Calculate q.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 6298.\nAnswer: 629.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -7, -4\/5, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-8)*k**(-1)*(k\/(k\/k**17))\/k*k*k**(-3\/2) assuming k is positive.\nAnswer: k**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:45 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162795?\nAnswer: 3, 5, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/7 (b) -94.21 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 26?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*q + 2. Suppose -7*d + q*d = 352. What is the remainder when d is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*k - 31*k + 47*k - 15*k as m*k + w and give m.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 107*p - 106*p. Let x(b) = -19*b**3 - 3*b**2 + 3*b + 5. Let f be x(p). Let w = 1019 - f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 62 - (-29 + 33) - (15 - 7).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 11*u + 17. Let y be v(-8). Let q(h) = h**3 + 8*h**2 - 4*h - 3. What is the units digit of q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*f**2 - 134322*f + 134322*f.\nAnswer: -186*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 + 158186*t\/3 + 263660.\nAnswer: -2*(t - 79098)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*y - 43*y + 1478*y + 600*y to m*y + p and give m.\nAnswer: 2076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 313448732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let s(q) = -21932*q - 124*q**2 + 21946*q - 279*q**2. Give c(s(f)).\nAnswer: 806*f**2 - 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4965 + 0?\nAnswer: -4965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*m - 0*m + 4*v, 5*m - v = 102. Let j = -13 + m. What is the remainder when 26 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffef when four letters picked without replacement from {u: 1, t: 2, f: 4, e: 1, c: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5313?\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 0*f + 1\/9*f**3 + 7 - 5\/6*f**2. Let x(q) = 0. Calculate q.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4026 divide 72951120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2809*p**3 - 615118*p**2 + 628911*p - 160380.\nAnswer: -(p + 220)*(53*p - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*d - 194, z = -4*d + 111 + 34. Let x(h) = -h**2 + 57*h - 20. Let b be x(d). What is the greatest common factor of 160 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*w - 116*w - 113*w + 457*w - 110*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1448 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -13883?\nAnswer: 13885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245*k**4 - k**2 - 1732 wrt k.\nAnswer: 980*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -955*s + 6251. Calculate d(7).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -336\/5 - -67. Let y(v) = 5*v - 1. Let k be y(1). Suppose -p = -2*d + 3, 0*p - 5*p = -k*d - 3. Which is the nearest to p? (a) m (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 135258.\nAnswer: 1487838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2949*f - 212360. Determine s(-72).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 7*r + 23. Let g(a) = a**2 + 4*a + 11. Let d(j) = 9*g(j) - 4*v(j). Let m be d(-7). Solve -25 = -5*o - m*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 9:54 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 14. Which is the fourth biggest value? (a) -0.5 (b) s (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.5 (c) -5 (d) -2692 (e) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 341244?\nAnswer: -341243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2302, 2304, 2306, 2308, 2310?\n\"Answer: 2*n + 2300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 475187783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-18))\/((-99)\/8019)*-2*(-2)\/228?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.826 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let u(c) = 112*c**2 + 16*c - 3. Let n(o) = 114*o**2 + 20*o - 3. Let i(l) = -4*n(l) + 5*u(l). What is i(j(t))?\nAnswer: 104*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 16. Let t be s(-18). Suppose -2*b = t - 110. Let m be ((-60)\/100)\/(1\/(-15 + 0)). Calculate the greatest common factor of m and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003729962 to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-18)*p**(5\/8))\/(p**8)**(10\/3))**(-3\/23) assuming p is positive.\nAnswer: p**(169\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*a - 170*a - 333 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -19. Let r = v + -3. Suppose 2*q - r*q = -5. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, -1\/4, 9, 5 in ascending order.\nAnswer: -2\/7, -1\/4, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 2\/5*q**2 + 0 + 1\/15*q**3 - 1\/25*q**5 + 1\/105*q**7 + 2*q - 2\/15*q**4 + 2\/75*q**6. Determine n, given that x(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = -2*p. Suppose 4*t - 904 = 4*z, -18*t + 674 = -15*t - 4*z. Suppose -2*u + p*q + 161 = 26, 2*q + t = 4*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*d - 90 + 90)*(4*d + d - 3*d)*(-1 + 3 - 3)*(-2 + 2*d + 2) + 7*d**2 - 7*d**2 - 7*d**3 as z + h*d + o*d**2 + t*d**3 and give t.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 + j + 21. Let f(y) = 7*y**2 + 2*y + 24. Let l(h) = -5*f(h) + 6*x(h). Calculate l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*5)\/(-4*4\/8). Let j(a) = a**2 - 4*a - 3. Let s be j(x). Solve 0 = 2*l + s*d + 10, -4*l - 6*d = -3*d + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2420, -5, 98?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:25 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -654 + 689 + t + 3*t. Give i(-18).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5 + 1. Let z = -0.9 - -1. Let v = 0 + z. Is b greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltxe when four letters picked without replacement from tuxuuuel.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*r = 29, -g - 157 + 182 = r for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633675 is divided by 70407.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwawwqwqaqawaww. What is prob of picking 3 a?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -299264.48 rounded to the nearest one thousand?\nAnswer: -299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p + 91*p + 982504 = 0. Suppose -p = -10*s + 729187. What is s rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 753 and 7151232.\nAnswer: 1794959232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/102)\/5 + 110\/(-68)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 87*d**3 + 29*d**2 - 15*d + 16. Let r(p) = 5*p**3 + 2*p**2 - p + 1. Give 14*r(n) - z(n).\nAnswer: -17*n**3 - n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.646 + 1.616. Suppose -3*l - 9 = -2*m, 5*l + 3*m + 1 + 33 = 0. What is the third smallest value in 0.3, f, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 28 = 52. Suppose 3*h - a = -2*j, -2*h + 12 = h. Solve -z - 2 - 2 = -j*w, -4 = z - 5*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/349 - -33813\/1396. What is the common denominator of b and 93\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 2) + -22 + 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10.1. Which is the smallest value? (a) r (b) -3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 2*q + 1. Let b(x) = -1. What is 4*b(c) + m(c)?\nAnswer: -2*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93\/52 - -5659\/780. Find the common denominator of t and 11\/213.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8449095437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1591 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 27*m**5 - 24*m**3 - 3*m**5 - 263*m**2 - 263*m**2 - 52*m**4 + 880*m**2 - 302*m**2 = 0.\nAnswer: -1, 0, 1, 13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8*-13.5355\nAnswer: -64.9704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.7431 + 0.1131. Let o = 11 + x. Let b = o - -0.1. What is b rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45405.\nAnswer: 3, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (-57 - -51) + 0 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1414?\nAnswer: 1414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*j**2 - 16*j**3 + 91*j**2 - 3*j**3 + 4*j**3 - 2*j**3 + (j**2 - 1 + 1)*(-2*j - 2*j + 6*j).\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 174*o**2 - 22*o + 20. Let m be q(1). Suppose 32 = -35*v + m. Solve -v*r + 2*r + 4*a - 18 = 0, -5*a + 18 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.2, -0.0059, 5?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47554\/25 or 1903?\nAnswer: 47554\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-h + 3 - 3) - 118 - 139 - 40*h + 234.\nAnswer: -42*h - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69\/2 of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -63, -74, -89, -108?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29060 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in sixty-nine halves of a millennium?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -536, 5, 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-2\/3))\/j)**(-40)\/(j*j*j**(-3)*j*j*j*j*j*(j*j\/(j**(2\/15)\/j))\/j))**(3\/11) assuming j is positive.\nAnswer: j**(-1088\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 - 2*y**2 - 3*y - 3. Let a = -5363 + 5358. Let b(d) = 7*d**3 + 3*d**2 + 5*d + 5. Determine a*m(c) - 3*b(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - -9. What is the lowest common multiple of 48 and z?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 1248\/7. Let v = 0.2 - 0.2. Let x = -20 + 23. Which is the closest to v? (a) z (b) -4\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + 6 + -8 + (1 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 627a93794 - 1?\nAnswer: 627a93793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-135)\/210)*-1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 9 = -9*o, -4*o = -5*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/91 - 3541\/182. Calculate the common denominator of i and 39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154*r**6 + 50*r**2 wrt r?\nAnswer: -18480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = -8. Suppose -13 = l*f - 67. Suppose -3*c = -3*j - 65 - 37, c - 5*j - f = 0. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2237 (base 9) to base 3\nAnswer: 2021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425634941 is divided by 371.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*l - 59*l - 57*l)*(-2*l - 1 + 1 + (6 - 1 - 4)*(-l - l + 3*l) + 2*l + 3*l - 3*l + 2*l + 67 - 67) to the form d*l + f + v*l**2 and give v.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 7*a**2 - a + 18. Let v be k(4). Let t(d) = 19*d**3 - 2*d**2 + 2*d + 2. Let g(l) = -76*l**3 + 9*l**2 - 9*l - 9. What is v*g(r) - 9*t(r)?\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 + 16*h + 6. Let x be k(-6). Suppose -7*r = -6*r - x. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/9)*t\/(t**1*t)*t*t*t)\/(t**(1\/7)*t**(1\/3)))\/(t*(t\/t**(-1))\/t*(t\/t**(1\/5))\/t)**(-19\/3) assuming t is positive.\nAnswer: t**(4316\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.94 - 7.94. Let p = -3.5 + 4. Which is the nearest to 1\/3? (a) p (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3) + (4 - 6). Let o be (t + 1)*3\/51. Which is the closest to 1? (a) -1 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most as big as -59.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnnhhnhhnhnuhuhh. What is prob of picking 1 u, 2 h, and 1 n?\nAnswer: 108\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*o + 2 + (-3 + 6 + 1)*(2*o - 4*o + o) + (-15 + 11 - 7)*(-4*o + o + 5*o).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-1)*(-24561)\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 2. Let s = 7.1 + y. Let a = s - 4.1. Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2535*d**2 + 85*d - 2030. Let s(p) = 181*p**2 + 6*p - 145. Let l(q) = 6*n(q) - 85*s(q). Find the first derivative of l(t) wrt t.\nAnswer: -350*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4230 by 6.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 449*v + 38179. Give s(-85).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -23 + 14 + -4 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1086, -1059, -1008, -927, -810, -651?\n\"Answer: c**3 + 6*c**2 + 2*c - 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 385, 1536, 3773, 7438, 12873?\nAnswer: 20420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 23\/5, -1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 3*a - 3. Let j(c) = -c**2 + 2*c + 2. Let h(x) = 3*j(x) + 2*t(x). Suppose -2*l + 3315 = 3*l. Let v(m) = -663 + m + l. Determine h(v(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhhhhsshhhhh. Give prob of sequence hhh.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0143668 to 4 decimal places.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, g: 6, e: 4}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 277 + -32. Let o = -244 + b. Put 40, o, 4 in descending order.\nAnswer: 40, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-2)\/40)\/((-2)\/2*-1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 452416781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + -3))**2 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -19*a - 38. Let q be r(-2). List the prime factors of ((-11700)\/(-240))\/(q + (-9)\/(-120)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 1 - ((2*sqrt(104))\/sqrt(8))**2.\nAnswer: -51 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 8:40 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 2\/3, 12.46, 1\/3, 14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4805 + -4789. Solve -3 = 3*p + 3*r, -4*p - 11*r + 13*r - c = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -20. Let o = 0.1 + -0.1. What is the closest to -0.1 in i, o, 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28787 and 5234.\nAnswer: 57574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10341704*z - 4214 = -10341618*z for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 < 1199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4525 + -4083. Is x < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**7\/5 - 77*c**3\/6 + 18*c**2 + 40*c. Let x(f) be the first derivative of o(f). What is the first derivative of x(g) wrt g?\nAnswer: -168*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*w + 136*w - 10578. Does 129 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42234697\/593758 + -28467\/394. Let w = d - -4\/137. Find the common denominator of w and (-1 - (-32)\/14)*-3.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 26*l - 16121 = -351*l for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 75 - 89)*(-2 + 1 + 4)*(2669 - 2667 + 5*t - 3*t + 2*t**3 + 11*t**2) to y*t + j*t**2 + o + d*t**3 and give o.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-35))\/(5\/(-735)*7).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 15 + 7705 + -7752.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 23 = 4*w. Let j = 15 - w. Suppose -2*c + j = -0. Solve 5*p - c = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9555?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0, 0.03, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/21 - (-4)\/(-14). Let w be (2\/(-12))\/(s\/(-18)). Factor 1\/2 - k**3 + 1\/2*k**4 + 1\/2*k**5 + w*k - k**2.\nAnswer: (k - 1)**2*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.16568831 to one decimal place.\nAnswer: -26.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.162809 and -0.4?\nAnswer: 0.237191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.18133 from 30867.\nAnswer: 30877.18133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 1240383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8907.3 - -8907. Which is the second smallest value? (a) -43 (b) 0.1 (c) -4 (d) o (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**5 - 1. Let s(p) = 7*p**5 + 2*p**2 + 8. Let j(h) = 3*s(h) + 24*w(h). Find the third derivative of j(b) wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 23*x + 96. Let l be u(7). Let d = 69 + l. What is the greatest common factor of d and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/36)\/((-4)\/78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-240)\/168)\/(1\/(-25046)). Suppose -4*x - 4*r = -a, 4*x + 0*r + 3*r - 35785 = 0. What is x rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 m when four letters picked without replacement from amaaaaaamama?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from nnnfnefenff?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 2016.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 7*x**2 + 17*x + 9. Let h be c(-2). Solve -h*j = -1 - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 - 674 = -3*a. Let w = a + -267. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60419071.\nAnswer: 17, 401, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15163 + -892. Let d = b + -5348. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:38 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + (3 + -63)\/(-4). Suppose -2 = 2*d + 4*a - 30, 5*a = 3*d - 20. What is the highest common factor of n and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1481, 1489, 1501, 1517, 1537, 1561, 1589?\nAnswer: 1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10235*h + 10 - 3 - 4.\nAnswer: -10235*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 8*j + 35. Let k be n(11). Let w = 1803 - k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3218778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -283?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/14*((-2303)\/(-63) - 37). Determine k so that -2\/21*k**2 + q*k - 722\/21 = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2459 - -2504. Solve 3*p - o = -51 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22 - 0. Let a = b + 0.28. Let p = a - 5.06. What is the third smallest value in 0.1, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = 53*x - 474. Solve x*p = 16*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 457?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 + 7*l + 8. Determine t(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/((-43460)\/1272*(-9)\/10).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 97*i**2 - 8*i - 5. Let a be j(-2). Let p = a + -23. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030208 to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a280 (base 12) to base 3.\nAnswer: -22021100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-18))\/(-7)*1108\/(-4155)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136)*1 - sqrt(136)) + sqrt(136) + sqrt(136))\/sqrt(8) - ((sqrt(119) - 4*2*sqrt(119))\/sqrt(7))**2.\nAnswer: -833 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1204 - 13?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 3*f + 8. Let t = 8 - f. Suppose 3*y + 1 - 55 = k, 5*y - 4*k = 90. What is the smallest common multiple of y and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + -6*sqrt(1216)*2 + -3)**2.\nAnswer: 1152*sqrt(19) + 175143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -871*v + 1775*v + 953 - 905*v as y + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -344, -9.7, 1, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4508 + 4503. Which is the fourth biggest value? (a) w (b) -2 (c) 3 (d) 65\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 + 1 - (-13435)\/(-2687)) + 39.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 20.\nAnswer: -23\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 - 1.08. Let x = -10 - -5. Let f = b - x. Which is greater: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -264\/7, -3, -2 in descending order.\nAnswer: -2, -3, -264\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300332000 + 121?\nAnswer: 1300332121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792771?\nAnswer: 2792771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-135) - (-2 - 33\/(-15)). Solve -5*h + 35 = -y - 4*y, h - 2*y - 11 = c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -422, 3.9, 0.096, 4 in ascending order.\nAnswer: -422, 0.096, 3.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-52))\/((-6)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = j + 5, -4*j + f - 8 = 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -14. Suppose -5*u - o = 0, 4*p - u = -4*u + 24. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 4, -4, 3 in decreasing order.\nAnswer: 4, 3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:57 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -70?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 72*p**2 + 144*p - 8. Determine t(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**3 + 3*f + 14. Let l(q) = -16*q**3 - 5*q - 14. Let k(d) = 2*l(d) + 3*y(d). Find the second derivative of k(r) wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znjz. What is prob of picking 1 j, 1 z, and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*b**4 - 191*b**3 + 402*b**2 + 764*b - 40 = 0.\nAnswer: -2, 5\/98, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -874 - -85651\/98. Which is the second biggest value? (a) -1 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*s**3 - 2*s**3 + 4*s**2 + s**3 - 6*s**2 as r*s**2 + w*s + b*s**3 + x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25933509900 rounded to the nearest one million?\nAnswer: -25934000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1792252 and 28336?\nAnswer: 7169008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6448, -12880, -19310, -25738?\nAnswer: -32164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24be (base 16) to base 14\nAnswer: -35dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18 + 112\/(-63). Let o be (-4 - -2) + a - -4. Let h = 0.2 - 0.1. What is the nearest to h in 3, -2\/17, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 8. Calculate r(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 9\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 493, 509, 471, 379, 233, 33, -221?\n\"Answer: -27*s**2 + 97*s + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*2380\/(-8568).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a centimeter in micrometers?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3821287 (base 10) to base 2\nAnswer: -1110100100111011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45383 + 39511 = 2*f + 4*l, -4 = -2*l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -37*v**2 - 35 + 63 - 28. Let a(l) = -18*l**2. Give -7*a(z) + 4*c(z).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1417, 2865, 4313?\n\"Answer: 1448*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.210842 and 1.\nAnswer: 21.210842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - (-14 - 10\/(-4)). What is the closest to n in 3\/2, 0.2, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 657*a*m**5 + 80*a*m**2 + 69*a*m + 83699*m**6 - 233*m**2 + 10 wrt m.\nAnswer: 39420*a*m**2 + 10043880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690\/160*-44*(-14)\/(-693).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msdssvsf. Give prob of sequence dmsf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 1. Let g be m(-2). Let f = -0.63 + -0.37. Which is the nearest to -0.1? (a) -1\/6 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30495266 and 0.2.\nAnswer: 30495266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*i = -s - 2, -5*i - 20 = 0. Let m(v) = v - 4. Let j be m(s). Suppose -j*y = -2*f + 106, -f - y - 133 = -4*f. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 7. Let v(p) = 2*p**2 - 4 + 3*p + 2 + 2*p**3 - 4*p. Calculate the remainder when v(3) is divided by t(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111\/(-18) + (-1)\/(-6). Let r = n - -16. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491102 - 86532 = 10*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/90 and 59\/46998.\nAnswer: 234990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Solve -3*a + 20 = m*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 - 0.37. What is the third smallest value in f, -0.4, 1, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -17. Let k be (6\/(-18))\/(q\/(-9)). Let m(w) = -7*w - 1. What are the prime factors of m(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1919264 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m. Suppose f = -h + 11, -2*f + 0*f - 20 = -4*h. Let j = h + -3. Solve 16 = -m*q + j*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -1152, -2361, -3992?\nAnswer: -6045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**5 - 162*v**4 - 48*v**3 = 0. What is v?\nAnswer: -2\/7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-20) + 60\/25. Calculate the highest common factor of h and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-2)\/4*-6 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 52 = 4*q. Let x(w) be the third derivative of w**5\/30 - 5*w**4\/6 + w**3\/6 - 37*w**2 - 2. Let l be x(q). Sort 0, 4, l, 3 in descending order.\nAnswer: 4, 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/3 (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 914*w**4 + w**3 + 14022 wrt w.\nAnswer: 3656*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.298 equal to 16282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 508, 762, 1016, 1270?\nAnswer: 1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1345.21763203 and 0.0525?\nAnswer: 1345.16513203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 1, 723, 33 in ascending order.\nAnswer: 1, 33, 48, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 16. Let h(x) be the second derivative of x**4\/4 + 84*x. Determine z(h(c)).\nAnswer: -3*c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m - 6. Let s(z) = -z**3 - 19*z**2 - 17*z + 12. Let d be s(-18). Let v be d\/33 + 408\/66. Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 34*b + 34. Let v be n(1). Solve 3*c - 2 = 2*c + p, -5*c + v = -2*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 66, -9, 5, 2, 6 in ascending order.\nAnswer: -44, -9, 2, 5, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*p + 15. Suppose -3 - 7 = 4*o - 2*h, -31 = p*o + 5*h. Let v be (-3 + 2)\/(1\/7). Is v greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 6*k - b + 14, 4*k = 4*b + 8. Suppose -11*n + 4333 = -k*n. List the prime factors of n.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80642857571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(6*y - 3*y - 2*y) - 37*y + 26*y + 18*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t**3 - 53*t**2 + 8*t + 8. Let u(v) = -9*v**3 + 35*v**2 - 5*v - 5. What is -8*u(p) - 5*y(p)?\nAnswer: 2*p**3 - 15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 61 = -z, 0*a - 3*z = 3*a - 39. Let t be (a\/(-104))\/(6\/85). Let f = -18\/13 - t. Put 3, f, 1 in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*(-5)\/((-15)\/(-18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/9 + 1687*q**3\/9 - 41638*q**2\/9 + 16260*q - 15512 = 0. What is q?\nAnswer: 2, 21, 1662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 534410062 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -42. Which is smaller: 9 or t?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 42435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 1. Let q = 0.4 - 0.9. Let k = -19 + 20. What is the smallest value in k, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -6*x + 8*x + 10, 4*a - x + 7 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**7\/1260 + v**6\/120 - v**4\/6 - v. Let k(o) be the third derivative of z(o). What is the units digit of k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 3109, 6976, 12373, 19300, 27757?\nAnswer: 37744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/3 - 7*h**4\/3 + 10*h**3\/3 + 16*h**2\/3 = 0. What is h?\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = f + 4*o - 2, 4*f - 4*o = 0. Let h be -4 + (-2)\/(-3 + (-57)\/(-21)). Solve h*n + l + 7 = 0, -l + 2*l = 5*n + f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -11. Let o = -4 - -3.96. Let w = -0.36 + o. What is the third smallest value in y, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-90)*(6 - 1). Solve 2*f - 2 = 0, -d*v + 3*f = -0*v - 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/((s\/(s*s*s\/s**(-13)*s))\/s))*s)\/s**37*s**(-2\/31)*s*s*s\/(s*s**(-12\/11)) assuming s is positive.\nAnswer: s**(-17382\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 9*x - 10. Let n be t(6). Let a(y) = 53*y + 29. Is a(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04255235 to 4 dps.\nAnswer: 0.0426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 86*i - 83. Let z be u(44). Let q = -0.48 - -0.4. What is the smallest value in q, -3, -4\/3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42747273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t + 93. Let m be f(9). Which is the nearest to 0? (a) 5\/27 (b) -3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f - f. Let w = 248 + -248. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45016, -89950, -134806, -179584, -224284?\n\"Answer: 39*d**2 - 45051*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.1 and 235182.68997.\nAnswer: 235185.78997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let g = -267 - -3473\/13. Suppose -i = i. Which is the second biggest value? (a) g (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 158*p**2 + 10*p + 20. Suppose 4*w = 132 - 152. Let l be m(w). Round l to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 19. Let f = 26 + 24. Calculate the remainder when f is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 977\/4. Let r = 675 - 670.172. Let t = r + 0.172. Which is the smallest value? (a) t (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 24925\/2472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 9 + (4 - 10) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 114 + 3 = 0. Solve -4*n + l*n = 5*f - 20, 0 = 2*f + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -24. Let o = 13 + s. Suppose -3*f + 2*c = -2, o = -0*c + 2*c - 10. Solve -1 - 7 = -f*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*m**3 + 1145*m**3 - 382*m**3 - 387*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5 - 420*h**4 - 6545*h**3 - 32870*h**2 - 59064*h - 32320 = 0.\nAnswer: -404, -8, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7 + 1. Let z = q - 1. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 2.9. Suppose -u - 2*u = 9. Sort u, -0.1, g in decreasing order.\nAnswer: g, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 + 117*i**3\/5 + 46*i**2.\nAnswer: i**2*(i + 2)*(i + 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/9 (b) 2 (c) -18 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.82932 + -22.8.\nAnswer: -47.62932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -4)\/((-19)\/57*-51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.34072 + 0.\nAnswer: -72.34072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4917463\/2112922 + 119\/8158. Let s = -1\/37 - h. Find the common denominator of 59\/2 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048781819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -566.7 - -567. Put -2\/23, a, 2, 0 in descending order.\nAnswer: 2, a, 0, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4\/4 - 97*n**2\/2 - 1164*n + 1501. Differentiate h(w) with respect to w.\nAnswer: -3*w**2 - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 27 + 0*u**5 + 0*u**2 + 0*u**4 - 36\/7*u**7 + 0*u - 32\/3*u**3 + 0*u**6. What is the third derivative of h(f) wrt f?\nAnswer: -4320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 297336.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from whhwccwyhcw.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 + 6*t**2 + 6*t - 7. Let p(w) = -7*w**3 + 11*w**2 + 11*w - 11. Calculate -11*h(a) + 6*p(a).\nAnswer: 2*a**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 60*k**2 - 819*k + 27. What is q(-39)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1242 and 8694?\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 13 (b) -5 (c) -3625 (d) 1\/4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:41 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2116*u - 2121*u + 2*r = -25 - 10, -7 = u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -27005014\/7 less than -3857859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28742, 0.129, 0.1.\nAnswer: -28742, 0.1, 0.129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -10213752455.\nAnswer: -10213752454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 448. What are the prime factors of p?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l\/(l\/l**(-3\/5)*l))\/l*l)\/l**7*l*l**(-3\/5)*l**7*(l**(-1\/3)*l*l*l)\/l*l\/l**2*l**8*(l*l*l**(2\/3))\/l*l*l assuming l is positive.\nAnswer: l**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 174?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*s + 10 = -33, -4*m + 5*s - 16 = 0. Let k(j) = 5*j + 56. Calculate the remainder when k(m) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21497882 rounded to five decimal places?\nAnswer: -0.21498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 6) to base 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511428, -511451, -511460, -511449, -511412?\nAnswer: -511343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/15 + 70*j**4\/3 + 450*j**3 + j**2 + 218*j - 3. Factor v(d).\nAnswer: 4*(d + 5)*(d + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2*f + 0*f + 4*f) + 2*f - 2 + 2 - 3*f + 4*f + 16*f + (2*f - 3 + 3)*(-1 - 1 + 0) + f + 3 - 3 + f + 0*f - 6*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -10000010?\nAnswer: 1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 162*g**5 - 18612*g**4 - 20974*g**3 + 10824*g**2 + 9312*g - 3712 = 0.\nAnswer: -1, 4\/9, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) - 17\/36. Suppose -g = -2*g + 9. Let x = g + -17\/2. Which is the third biggest value? (a) i (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**3*j**3 - 3076*a**3*j**2 + 10*a*j**3 + 37*a - 4*j**3 + 6*j wrt a.\nAnswer: -60*a*j**3 - 18456*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 3, -1\/4, -1 in descending order.\nAnswer: 3, -1\/4, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7438710391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7796, -6282, -4768, -3254?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/39051 and -85\/1731261.\nAnswer: 5193783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/61842 and -82\/12243?\nAnswer: 22943382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4656?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4301)\/(-6348) - (-6)\/(-9))*1576\/2955?\nAnswer: 2\/345","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8875 = 9*m + 8911 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 11*i**2 + 13*i + 14. Let v be d(-12). Suppose 7*s - 265 = v*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19227 and 1131?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 26 = u. Let l = u - 127. What is l rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c + 1\/2*c**2 + 0 - 2\/3*c**3. Let b = -2 - 0. What is i(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -222.884399758503.\nAnswer: 224.884399758503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*n**2 + 2*n + 4*n + 5*n.\nAnswer: 89*n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 63, 0.1, 2\/9, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - 122121033?\nAnswer: -122120414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k + 1045836 = 71*k. What is the highest common divisor of k and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:23 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2.5 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.11*13.02\nAnswer: 40.4922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -26*o + 44*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 841405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1203840499 to the nearest integer?\nAnswer: 34696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117836.\nAnswer: 2, 89, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {x: 3, e: 1, p: 2, t: 7, y: 5}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157527919?\nAnswer: 1471, 107089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - c = 249, -x + 69 = 3*c - 8*c. Suppose 25*p + x = 32*p. Calculate the highest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**3 - 227*z**2 - 13*z - 65. Is w(39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + (-80)\/30)\/(2\/3). Suppose 0*l - 2007 = -3*l - q, 2*l - 1334 = -r*q. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:32 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 t when three letters picked without replacement from bccctkkkbbtkbbc?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110101 + 10?\nAnswer: 101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165564 and 598892?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 7*i**2 - 5*i + 5. Suppose 11*z - 255 = -46. Calculate the remainder when z is divided by c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 196*x**3 + 7 + 198*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359218 and 20.\nAnswer: 3592180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c*u**3 - 2*c*v - 45*u**3*v - 24 with respect to v.\nAnswer: -2*c - 45*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-252)*-7)\/((-2961)\/15228)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 11*q + 14. Calculate z(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*r + 91827 = 0, 7*r = 9*r + 2. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 2, -4 in decreasing order.\nAnswer: 20, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -8. Suppose s + 33 = -2*k + 4*s, -3*k - 21 = 5*s. Let i = c + k. Solve 0 = i*h - 3*x + 6, 0*h + 2*h = 2*x - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + (2 - 0) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-168) + 43\/60?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(1\/8)*k*k*k**4*(k\/k**(-1\/4))**(-46) assuming k is positive.\nAnswer: k**(-403\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -46. Let t = y - 7. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/17349 and 1\/130782545?\nAnswer: 392347635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2581 + 4412. Suppose -26*z - h = -35*z. Is z a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuzyyztzyyzyzyuu. Give prob of picking 3 u.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10110111000000111?\nAnswer: -10110111000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*c**3 + 135*c**3 + 417*c**3.\nAnswer: 313*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from {j: 5, y: 4, e: 4, t: 1, l: 2, w: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/25*(-1 - -36). Suppose 4*q - 2*u - y = 0, 5*q - 69 = 4*u - 12. Calculate the remainder when 17 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238943249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191142590 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*p + 172*p - 25*p = 8280 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 4*h**3 + 7*h**3 - h**3 - 3*h**3 + 3*h**3 + (3*h**2 + 0*h**2 - 5*h**2)*(-6*h + 3*h + h) + 4*h**3 + h**3 - 2*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0 + 3*f**2 - 5 to the form t*f**2 + w + s*f and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -1.2, 0.1, 6, -14, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102861910 rounded to the nearest one hundred thousand?\nAnswer: 102900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.0498825, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let i(h) = 8*h. Let k(z) = 2*z. Let t(a) = -5*i(a) + 24*k(a). What is -22*d(x) + 6*t(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23094940 and 20785446.\nAnswer: 207854460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 253? (a) 1\/5 (b) -1.2 (c) 28 (d) -1 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -n, 4*n = 2*u + n - 2. Let r = 2 - 1. Let x = u + r. Solve 0 = 3*w - x*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116? (a) -24 (b) -3 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/1400747 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 8*x + 1. Let i(u) = 3*u**2 - 25*u - 3. Let p(b) = -2*i(b) - 7*v(b). Let k be p(6). Which is smaller: -1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 462*t**4 + 92643*t**3 + 4668606*t**2 + 2431200*t + 60000 = 0.\nAnswer: -100, -1\/2, -2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1495.9625 - -1551. Let d = 55 - t. What is d rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/9 + 60*d**2 - 1911*d - 6270 = 0?\nAnswer: -570, -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14688077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.08847.\nAnswer: -0.008847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 7}. What is prob of sequence jj?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464 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 o(l) be the second derivative of 0*l**2 - 11\/6*l**3 - 10*l + 2. Let s(h) = -7*h. Determine o(s(w)).\nAnswer: 77*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 55440*m - 4 + 110877*m - 55437*m.\nAnswer: 7*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 86554739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 25. Suppose 36 = -t + 3*t. Let j = t + n. Calculate the remainder when 11 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njz when three letters picked without replacement from {o: 1, n: 1, z: 1, l: 2, f: 8, j: 1}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 - 144*o**4 - 24*o**3 + 34960*o**2 - 158700*o = 0. Calculate o.\nAnswer: -15, 0, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:53 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 0.18, 0.5, -5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -605*w + 50 + 3 + 655*w. Is s(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 0 - ((7 - 6) + -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1022 + -1013. What is the smallest common multiple of l and (-54)\/(-12)*28\/6?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 1198175 + 0*a**2 + 3*a**2.\nAnswer: -2*a**2 - 1198175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - 4ca0?\nAnswer: -4c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999449 is divided by 230681?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304330 or -840?\nAnswer: 304330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4408\/15 - 294. Let l = 49\/30 + d. Which is the nearest to 6? (a) -0.4 (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -49912.7 (c) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 11 + 1, 4*r = -3*i + 51. Let m be ((-8)\/50)\/((-6)\/r). Suppose -2*k - 14 + 20 = 0. What is the closest to -1\/2 in 1\/6, k, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1151 + -1156. What is the closest to 0 in 9.1, f, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m = 0. Suppose p - 5*v + 10 = m, 4*v - v = p. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 143 = 4*d, 8*b - 2*d = 3*b + 131. Let m be (21\/b + 2\/9)*-531. What is m rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 12. Let p = j + -12. Suppose 0 = 3*v - 4*m - 20, 3*m = 3*v + m - 16. Solve p*g + v = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/55 and 37\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7223?\nAnswer: 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2272, 2 in decreasing order.\nAnswer: 2272, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 664 + -661. Solve -m - 2 = -f*o, 2*o - 7 + 4 = m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282 + 228 - -132 - (-44 + 0)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.61 + 24.8. Let s = 289337771.19000057 - 289337770. Let k = u - s. Round k to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = -0*r. Let u be (5 - (-24)\/(-6)) + r. Sort -26, -3, u, -5 in descending order.\nAnswer: u, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27516 is divided by 5500.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 35, -5955, 2, 3 in ascending order.\nAnswer: -5955, 0, 2, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.3. Let f = 3474 - 3473. Sort j, -5, 3, f.\nAnswer: -5, j, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 45*m**2. Let h(u) = 86*u. What is i(h(y))?\nAnswer: 332820*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(8*s - 8*s + 26*s**2).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1475246 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -9*x + 1316. Let b = 427 - x. Calculate the highest common divisor of b and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2 + 4*m - 4. Let o(r) = 7*r**2 + 5*r - 5. Suppose 24 = 21*q - 81. Let i(p) = q*g(p) - 4*o(p). Let s(n) = -4*n. What is i(s(c))?\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let u = -4 - -31. Let m(g) = -u*g + 22*g + 13*g. Calculate m(v(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231122 + 32102?\nAnswer: 323230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 1, a: 2, d: 1, n: 1, z: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -123*((-1183)\/168 - -7). Is 6 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1db6 + -69?\nAnswer: 1d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 16) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183593092 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b + 8. Let w(d) = 2 - b + d - 1. Let t be w(3). What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 24.9.\nAnswer: 32.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*c = -3*c - 428, c + 144 = z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 8359425*q - 16718838 = 0.\nAnswer: 2, 2786473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 6*w**2 + 6*w - 9. Let s be f(5). Let n be 5\/(-13)*4\/10. Which is the third biggest value? (a) -3 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 18. Determine q(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 44 = -i. Let y = 21 - i. Suppose x - y - 17 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9801344797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 945 and 55?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w - 1. Suppose 5 = 2*h - 7*h. Let p be q(h). Suppose -38 = -p*c - 2. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = -3*c - 414, 5*f - 4*c + 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 863, 1745, 2637, 3545, 4475, 5433, 6425, 7457?\n\"Answer: l**3 - l**2 + 878*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -589*b**2. Let j(a) = 64*a - 498. What is j(m(w))?\nAnswer: -37696*w**2 - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n - 84 + 192 = 0. Factor -2\/3 - 1\/3*o**3 - 4\/3*o**n - 5\/3*o.\nAnswer: -(o + 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*q - 43*q - 100. Let n = q - 22. Solve -n*y - 6 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29848 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p**4 + 380985*p**3 - 389536560*p**2 + 111265060*p = 0.\nAnswer: 0, 2\/7, 1142, 9743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*s = -15, s = 3*d - 10 - 3. Let p(l) = -18*l - 13. Let i(a) = 18*a + 13. Let u(x) = d*p(x) + 3*i(x). Is u(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 11) to base 6\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:08 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2798534 and 528842.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83026 = 2*d + 2*o, -3*d + 4*o + o = -124483. What are the prime factors of d?\nAnswer: 2, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(352)*1 - sqrt(352) - sqrt(352))\/(sqrt(2) + (3*sqrt(2) + sqrt(2))*5).\nAnswer: -4*sqrt(11)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 106346705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1625 + -1638. What is the third smallest value in 5, -0.1, -3\/2, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/(-4)*(-2)\/3. Suppose -3*a + 0*w + 2*w + 6 = 0, -4*a = -w - t. Let f(l) = -2*l + 38. Let u be f(18). Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3113173 is divided by 981.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421716997 to the nearest integer?\nAnswer: 20536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 208*q - 409. What is c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123211000 - -11?\nAnswer: 123211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 + z**2)*(-z + 3*z - z) - 321*z**2 - 2*z**3 + 5*z**3 + 323*z**2.\nAnswer: 5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:53 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -85. Suppose z*o + 68 = 80. What is the highest common divisor of o and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*b + 3*m = -77*b + 3, b + 5*m - 11 = 0. Let h(t) = 9*t - 5. Let o(j) = -3 + 1 - 55*j + 60*j. What is b*o(c) + 4*h(c)?\nAnswer: -9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/16)\/(28*16\/19712*22)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -49*b + 63. Let q(d) = -3*d + 4. Let x(r) = 4*l(r) - 63*q(r). Let k(o) = -2*o**2. Determine k(x(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 5*f + f + (-2*f - f + f)*(2 - 1 + 0 + 1 - 1 - 1 + (-2 + 4 + 0)*(3 - 4 + 3)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/501 and 26\/16867.\nAnswer: 50601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3 + 295*m**2 + 402*m - 45340. Determine k(73).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + 4.209622353?\nAnswer: 53.209622353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13962 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 18580.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8792 - -291. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1508 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -5 + sqrt(2448)*2)**2*-6.\nAnswer: -132342 + 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37\/10175*-55 + 2\/4 + (-31)\/70\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59963 + -25594. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16279, -32209, -47435, -61603, -74359, -85349, -94219, -100615?\n\"Answer: 59*q**3 - 2*q**2 - 16337*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1159127, 2318254, 3477381, 4636508, 5795635?\n\"Answer: 1159127*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5803, -5795, -5789, -5785?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 193164?\nAnswer: -1\/193164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 52235, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -2.44. Let h = 0.84 - 1.24. Which is the nearest to 0.1? (a) h (b) -1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -43*s - 1. Let f be h(-1). Suppose 3*v = -0*v + f. Solve -3*u = 3*d - 30, 0 = -2*d - 4*u + 16 + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31897*j**2 - j**3 - 31897*j**2 + 0*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16935 - 16941. Let u(q) = -2 - 2 - 4 - 3*q + 2*q. Give u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1441*c**4 - 625*c wrt c?\nAnswer: -17292*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -960, -1921, -2882, -3843, -4804, -5765?\nAnswer: -6726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2147*j - 134 = 2157*j, -4*b - 137 = 5*j. Let d = 2197\/8 - 275. Sort d, b, 1\/6.\nAnswer: b, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-1)\/(1 - 0). Suppose 2*y - 4*y = -5*a - 6, 2*a - i*y = 0. Let n be a*(14\/4 - 2). Is -2 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.8 - -51. Let t = -11 - g. Which is the nearest to -0.2? (a) 2\/3 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84.4775 and -0.02.\nAnswer: -1.68955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*m - 146*m - 21*m as y*m + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -66*l**2 - 117*l + 9. Let m(q) = 3*q**2. Give y(m(n)).\nAnswer: -594*n**4 - 351*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9))**(24\/7) assuming k is positive.\nAnswer: k**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 7. Let m be i(5). Let l(r) = -1 + 8*r + 8*r - 17*r + 0. What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 188. Let q(d) = 18*d + 564. Let c(h) = -7*i(h) - 2*q(h). What are the prime factors of c(37)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 157 - 53. Let z be 762\/j + (-20)\/70. Which is the third biggest value? (a) 1\/6 (b) -2 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:59 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344.6122 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 0*o - 6*o + 10*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667145 to the power of 1\/2, to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6, -1, 3 in descending order.\nAnswer: 8, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsshshgngsss. What is prob of sequence hh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*n = -5*n + 795*n - 22704 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(304))**2 - sqrt(2736)*1 - (0 + sqrt(1900)*3).\nAnswer: -42*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, g: 8}. Give prob of sequence ggyy.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322 - -453. Let y = n + -131. Solve 0*i - 2*i - 6 = y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -193, -384, -573, -760, -945, -1128, -1309?\n\"Answer: u**2 - 194*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 1, 0, 1\/4, 6, 4, 5 in ascending order.\nAnswer: -145, 0, 1\/4, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5911 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.0263 milliseconds in nanoseconds?\nAnswer: 389026300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/385 + (-1)\/5 + 0. Let h = 4 - 3. Let i = h + -1. What is the closest to i in -0.2, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26609063 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482482171 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/20 + 3 - (-11)\/(-55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2140 and 4.\nAnswer: 8560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 117 - 229 + 580*u + 434*u as o*u + g and give o.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43120 divided by -10?\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8459489 is divided by 1691896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.04, 36, -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -123, -37, -5 in descending order.\nAnswer: 5, -2, -5, -37, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bagg when four letters picked without replacement from {e: 1, q: 1, a: 2, b: 1, g: 2, d: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 64. What is the third biggest value in -1\/2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 9. Let j = g - -6. Which is the closest to 0? (a) -5 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 1758*x + 189*x - 19545*x**2 + 19547*x**2 + 93*x = 0.\nAnswer: -1020, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 48*q - 15. Let y be s(1). Let i(t) = 5*t**2 - 1. Let k be i(-1). Let f be k\/(-10) + 2171\/65. What is the highest common factor of y and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4379*m + 5 - 3 + 3990*m)*(-4 + 4 + 8*m**3).\nAnswer: -3112*m**4 + 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673940 is divided by 836970.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-210145.\nAnswer: 1260870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091651581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 583816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69095 is divided by 151?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 2}. Give prob of sequence zfzf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 69\/20*b**5 - 2*b**2 - 1\/21*b**7 + 1\/6*b**3 + 0*b**6 - 175*b + 0*b**4 + 0. What is the second derivative of v(z) wrt z?\nAnswer: -40*z**3 + 414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**4 - 444*m**3\/5 - 975*m**2 + 3252*m\/5 + 2052\/5 = 0.\nAnswer: -9, -2\/5, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + -27e56?\nAnswer: -27e78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(20)\/sqrt(160) - sqrt(2))**2 + sqrt(72) + ((2*sqrt(72) - sqrt(72)) + sqrt(72))**2 + 3 + -5.\nAnswer: 6*sqrt(2) + 2289\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55888 and 447104.\nAnswer: 447104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 5 in ascending order.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 2*c**2 + 0*c**2 + (-3*c**2 + 2*c**2 + 2*c**2)*(2 + 2 - 3) - c**2 - c**2 + 4*c**2 + c - c + 2*c**2 + (-3*c + 0*c + 2*c)*(3 - 3 - 2*c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4649290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2134037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 588, 0.1, 14, -0.2, -44 in descending order.\nAnswer: 588, 14, 1\/5, 0.1, -0.2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 137, 214, 279, 320, 325, 282?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/2))**(-17)\/(n*n**(-1\/4))**(-29)*(n**(-2\/9)\/(n**(-1\/9)*n))\/(n*n**1)**(-35) assuming n is positive.\nAnswer: n**(2345\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + -2 + sqrt(192) - (sqrt(108)*-2 - (sqrt(75) + -4)))**2.\nAnswer: -50*sqrt(3) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 - k**2 - 2*k - 3*k + 6*k + 3*k**3 as f*k**2 + u*k + r*k**3 + d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - v**2 + 5*v - 2*v. Let l(p) = 3*p**2 - p - 2. Let w(r) = 4*k(r) + l(r). Factor w(n).\nAnswer: -(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 9*b**5 + 411*b**4 - 15516*b**3 + 112044*b**2 + 35280*b - 508032 = 0?\nAnswer: -72, -2, 7\/3, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -79567 smaller than -79560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25460, -50926, -76396, -101870, -127348?\nAnswer: -152830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016503 rounded to 6 decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 23, -10, -3 in ascending order.\nAnswer: -10, -3, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 228, 372, 542, 744, 984?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 3*o + 102 - 50.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1218164407 * 1.\nAnswer: 1218164407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(34*s**2 + 21*s**2 - 74*s**2 + (0*s + s - 3*s)*(0*s + 0*s + 2*s) - 5*s**2 + 0*s**2 + 4*s**2) to f*s**2 + t + o*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9606 - 20879 = 32834*g - 3204 + 5553 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-72)\/(-42) - 2) + 1\/7*23179?\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-700*f - f**2 + 700*f - 425)*(0 - f + 0).\nAnswer: f**3 + 425*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -6. Let b(w) = -7*w + 17. Let m(t) = -4*t + 9. Let x(j) = -6*b(j) + 11*m(j). What are the prime factors of x(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1625\/6 + 271. Let f(k) be the first derivative of -65\/24*k**4 - 3 - 5\/4*k**6 + 0*k - z*k**2 - 19\/18*k**3 - 31\/10*k**5. Let f(s) = 0. Calculate s.\nAnswer: -1, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/2 + 7461*r\/2 + 154035 = 0?\nAnswer: -2445, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110743 and 28261.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 4*a**3 - 4*a**3 + 3 + 3*a**3 - 2*a**3 + 11*a**3.\nAnswer: 16*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 - 60*m + 127. Give h(-12).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 78.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/5*4)\/(5\/(-525))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9 - -12)*1*((-110872)\/3)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97750252 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: Expand 4*l**2 - 2*l**3 - 4*l**2 + (-5 - 109 + 27)*(46*l**3 + 2607*l**2 - 2607*l**2).\nAnswer: -4004*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/(-4)*9\/27 and -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001704654 rounded to six dps?\nAnswer: 0.001705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -12, -10, -6, 0, 8?\n\"Answer: s**2 - 3*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*i + 31 - 31 + (2*i - 2 + 2)*(4 - 4 + 3).\nAnswer: -65*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3950, 7692, 11222, 14534, 17622, 20480, 23102, 25482?\n\"Answer: -i**3 - 100*i**2 + 4049*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.357 take away 43.8?\nAnswer: -11.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 398*l + 185*l - 1258 - 776*l + 187*l in the form w + f*l and give w.\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693164, -693147, -693122, -693095, -693072?\nAnswer: -693059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -4 (c) 2 (d) 3 (e) 2\/45 (f) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168650*r**2 - 147*r + 181 wrt r?\nAnswer: 337300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 163, -3 in ascending order.\nAnswer: -30, -3, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.9, -14, -5, 17946?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3 + 3)*(2*o - 2*o + 2*o) - 65*o + 65*o + 11*o**2 to m*o + r*o**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 8*d = 5*y - 11, 1 = 2*d + 3*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 23. Suppose -2*j - 25 = -y*j. Suppose -x - r - 4*r = -86, -451 = -j*x - 4*r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-15)*(2 + (-7)\/2). Suppose w - u*b - 229 = 0, 2*w + 2*w - 5*b - 991 = 0. List the prime factors of w.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - v + 8. Let a be z(-5). Find the first derivative of -1 - 63*x + 115*x - 4 - a*x wrt x.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -9, -19, -29, -39?\n\"Answer: -10*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20605542773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76, 96, 122, 154, 192, 236?\n\"Answer: 3*w**2 + 11*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 9*u - 11. Suppose 0 = -2*v - 2*a - 12, -a = 5*v - 6*a + 30. What are the prime factors of x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**2 - 18*i - 3. Let k(n) = 725*n**2. Calculate c(k(m)).\nAnswer: -6307500*m**4 - 13050*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -203\/104878 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 4*p - 41)*(-10*p - 4*p + 24*p + (4 - 3 + 1)*(-4 + p + 4)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 + 121. Let v = -54 - r. Suppose 0 = -3*u + 112 + v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 9*i = -2*c - 14, -53 = 5*c + 2*i. Sort -3, c, 4.\nAnswer: c, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*z + 35 = 0, 3*d + 3*z = 2*z + 20. Let a(x) = x**2 + 3 - 2*x - 4*x + 4 + 3*x - 10. Calculate the remainder when 11 is divided by a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14777 (base 9) to base 15.\nAnswer: 2ee4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(12\/18 - 0). Let p(d) = d + 17. Let s = 11 - 25. Let q be p(s). Calculate the greatest common factor of g and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 2. Let q(z) = 4*z + 7. Suppose 3*y + y = 0. Suppose y = -3*f + 10 + 56. Give f*r(b) + 6*q(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + c**4 - c**4 - 11 - 2*c**3 in the form z*c**4 + b + w*c**3 + l*c**2 + h*c and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(-3)*(-167700)\/(-559)*3\/(-6)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 1, m: 1}. What is prob of picking 2 a and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 2*x + 3*b, -x = -4*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1\/2 + -2. Let u be ((-4)\/q)\/((-6)\/(-18)). Solve 0 = 4*i - 3*c + 13, u = -2*i + 2*c - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8673*t**3 - 184*t**2 - 3*t wrt t.\nAnswer: 52038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1101?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 13. Suppose 0 = o - 4*o - 5*a + 133, l = o - a - 39. Let x = 13 + -2. Calculate the remainder when o is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r + 2. Let y be x(-6). Suppose -3*t = -4*k - 8*t + 16, 3*t + y = 2*k. Solve -2*j - 3*p - 2*p - 15 = 0, k*j + p - 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + 71. Let y = -82841 - -82846. Calculate the remainder when n is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 41 = 7*i, 0 = -3*p + 3*i - 14 + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) -0.3 (c) -0.08 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 21, -3, 797 in ascending order.\nAnswer: -3, 5, 10, 21, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219050 divided by -1.\nAnswer: -219050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -87. Let l(g) be the second derivative of 0 + 1\/3*g**3 - 4*g + 0*g**2 + 1\/12*g**t. What is the second derivative of l(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, 0, 1915, -4.\nAnswer: -4, -1, 0, 2, 5, 1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*(-64 - -1). Let d = -72 - j. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 3*d + 1. Let u(m) = 317*m**2 + 12*m - 84. Let z(k) = 4*o(k) + u(k). What is the first derivative of z(y) wrt y?\nAnswer: 618*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 4)*(0*b**4 - 2*b**4 + 0*b**4) + b**4 - 1 + 1.\nAnswer: 19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52948686151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 386142 to the nearest 1000.\nAnswer: 386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -23*i**3 + 6*i**2 - i - 8. Let q be c(-7). Let o be q\/3*6\/(-12). Let v = 1346 + o. What is the common denominator of 9\/4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -136. What are the prime factors of (-37 + i)\/(6\/(-15))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 199 = 3*a, -2*a - 146 = -2*r - 2*r. Let s = 2 - -1. Calculate the remainder when r\/5 - (-3)\/(-5) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h + 5*o - 4, 2*o = -8. Solve -3*t + h = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Let z(r) = r**3 + 7*r**2 - 11*r - 35. Let i be z(-6). Let a = 71 - i. Put -2, h, a in descending order.\nAnswer: a, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-188) + (-236952)\/6768.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -85, 0.19, -1\/4, 1\/112.\nAnswer: -85, -1\/4, 1\/112, 0.19, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (38*6\/(-14)*(-1498)\/4280)\/((-18)\/30)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (17 + 5546\/177)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7046*d**2 + 7117*d**2 - 14278*d**2.\nAnswer: -115*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -4 (c) 2 (d) -1 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 4, u: 4, k: 4, m: 2, j: 4}. Give prob of sequence bk.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 11392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - -13. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76*(-141)\/10716)\/((-3)\/(-25)*(-4)\/24)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 60. Suppose 0 = 4*v - 3*d + 7 - 23, -3*v - d = -w. Suppose -v*g + 0*g = 8. Let q(k) = 2*k - 2. Give q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 18 - 10 = 0. Suppose 9 = j*t - 79. Let i(h) = 335 + t*h**2 - 335. Let y(s) = -2*s. What is i(y(b))?\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248760 and 1080?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 192, -5, 13, 3, 10, 5 in ascending order.\nAnswer: -5, -4, 3, 5, 10, 13, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68147446.\nAnswer: 2, 503, 67741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/24*5*7688. Let x = 1989 - h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*t - t - c, 5*c - 24 = -3*t. Let g(u) = u**3 + 10*u**2 + 9*u - 6. Let v be g(-9). Let s be ((-3)\/v)\/(2\/t). Solve q + s*q = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 20 (b) 1 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m - 5. Let n = -42 + 40. Which is the closest to -1? (a) 1 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 86*s + 860. Let j be a(-10). Which is smaller: j or 1\/1098?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvu when four letters picked without replacement from {b: 3, v: 3, u: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23681.\nAnswer: 7, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 61096196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 12*z - 18. Let j(o) = o + 1. Suppose 0 = -i + 3*g + 12 - 28, -3*i = -2*g + 13. What is i*w(r) - 12*j(r)?\nAnswer: 2*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 24*h - 17. Let y(n) = n**2 - 12*n - 9. Let a(z) = -2*x(z) + 5*y(z). Calculate a(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*s**2*x**2 + s**2*x + 365*s**2 + s wrt x.\nAnswer: 132*s**2*x + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 10:20 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by (4\/(-8))\/((-3)\/90)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45333193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let s be 2*(-3)\/a - -3. Suppose -s*o - 156 = -9*o. What is the greatest common factor of o and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 25 - (7 + -1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13579 is divided by 234.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23054.\nAnswer: 2, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d965 + -5?\nAnswer: -d96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 26. Suppose 0 = o*b - 5*g - 24, -27 = 2*b - 6*b + 5*g. Factor -5 + 0*c**3 - 8*c**3 - 3*c - 7*c**b + 5*c**2 + 18*c.\nAnswer: -5*(c - 1)*(c + 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*n = -395*n + 1887 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 2, n: 4, a: 2, m: 1, f: 2, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlxlrxrllllrlxll. Give prob of sequence xxrr.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13\/84 (b) -0.8 (c) 0 (d) -5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/121 or 0?\nAnswer: 12\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(1053) - (-1 + sqrt(1053)))*-1 + -1)**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 + (2 - 2) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2756, -2752, -2748, -2744?\n\"Answer: 4*s - 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g. Let d be ((-1)\/(-2))\/((-1)\/2). Let z be t(d). Suppose z*n = -p + 4*n + 8, -n - 14 = -3*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:26 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1615 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 9*g**2 - g - 13. Let n be w(-9). Put 1, 5, n in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 243, 565, 1021, 1611?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 0.047.\nAnswer: -1.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-565909)\/562 - 0\/(-6). Let x = 128\/281 + t. Let a = -1027 - x. What is the common denominator of a and 69\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22ea1 (base 15) in base 5?\nAnswer: -12030201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3422868 and 18890.\nAnswer: 17114340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 3.183.\nAnswer: 1.2732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iinn when four letters picked without replacement from {n: 7, i: 3, q: 9}.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322890984?\nAnswer: 2, 3, 13, 344969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 313*w - 309*w = -33, -g = -4*w + 21 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 204.5517 years?\nAnswer: 2454.6204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.49 + -18. Let f = -13.176 - -13.7. Let i = d - f. Round i to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 9c?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1398 - -1397. Which is smaller: -287 or k?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 58. Let l be ((-140)\/(-210))\/(-1 - 509\/(-507)). Let f = l - 146. Is f bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 24 - (-23 - (-5 - -7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 37 = 8*b, z = -15 + 8. Let i(k) be the first derivative of -2\/9*k**3 + 4\/3*k + 1\/3*k**b + 8. Suppose i(q) = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/4 + 63*n**2\/2 + 182*n + 240 = 0. What is n?\nAnswer: -120, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -227*m + 219*m - 5, -2 = -2*u + m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 12 = -2*r, w + 4*r = 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {z: 16, d: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + (-22)\/(-4). Suppose 4*d - 3 - p = 0. Let u(n) = -2*n**2 + d*n**3 + 0*n**2 + 4 - 3. Give u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 10 + 1 - 2*j. Let i(t) be the second derivative of -7*t**4\/12 - 39*t + 4. Determine g(i(w)).\nAnswer: 7*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 58.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**3*y + v**3 - v*y - 145*y wrt v.\nAnswer: -3*v**2*y + 3*v**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 1\/4, 106, -42, 2 in descending order.\nAnswer: 106, 2, 1\/4, -4\/5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 304.6 and -7?\nAnswer: 311.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*l + 70408, -9*l + 211260 = 3*g - 12*l. Does 48 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/46 and -71\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36750 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**5 + 12*i**4 - 9*i**3 - 17*i**2 + 3*i + 5. Let d(b) = -2*b**5 + 6*b**4 - 5*b**3 - 9*b**2 + b + 3. Let z(v) = 10*d(v) - 6*g(v). Factor z(o).\nAnswer: 4*o*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12039 is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1247288872564 + 0.5.\nAnswer: -1247288872563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*o - 7*b - 358 = -372*o, 5*o + 55 - 225 = 3*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (64\/(-10))\/((-2)\/5). What is the greatest common divisor of 64 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3633, -3696, -3801, -3948?\n\"Answer: -21*l**2 - 3612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:53 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (27\/45)\/((9\/(-4))\/3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10631122133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2*z - z)*(-z - 2*z**2 + 3 - 3).\nAnswer: -6*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(405))**2 - (2 + sqrt(405)).\nAnswer: -9*sqrt(5) + 1618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2763 + 27521\/10. Let k(w) = w + 11. Let x be k(-8). Suppose 3*q = -j + 14, -x*j = -0*j - 2*q - 75. Find the common denominator of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 15*h - 67. Let r be g(8). Solve 33*l + 2 = 32*l + 5*b, -10 = r*l - 4*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-84)\/(-147) + 41883\/(-2)*26\/(-273). Is d at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 10*k + 4. Let z be y(9). Let u(b) = -b**3 - 6*b**2 - 5*b + 4. Give u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -18 + 11 + (-6 + -6 - -4) + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 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 are the prime factors of 2599472?\nAnswer: 2, 37, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.3, 2416, -0.9725?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 - 92. Let r = k + 39. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**3 + 3*x**3)*(15 + 975 - 482 + 1548).\nAnswer: 6168*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(19) + -2) + sqrt(19))*-1 - (sqrt(114)*-6*2)\/sqrt(6)) + -5)**2*4.\nAnswer: -72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 1, q: 1, u: 2}. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21829.\nAnswer: 83, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12733 - 12733 - 52*a.\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 11 = -14. Let w(y) = y**3 + 5*y**2 - y + 4. Let b be w(q). Let m be (-2 + -1)*6\/b. Sort m, 0.5, 1\/5 in decreasing order.\nAnswer: 0.5, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1465.9 + 1466. Which is the third biggest value? (a) 0.5 (b) 5 (c) -12 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Solve -5*u = n + 13, 15 = 2*n + n - w*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*a = -2, 5*j - 8 = j + 4*a. Suppose 0 = r - 0*f + 2*f - 19, -j*r = 5*f - 41. Suppose b = r - 6. Put 0.2, -8, b in increasing order.\nAnswer: -8, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 1:43 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3104, 3106, 3106, 3104, 3100?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -45934*f + 1423956. Determine l(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11397 minus 5385?\nAnswer: 6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 2*o, -3*h = 4*o - 5 + 31. Let x be ((-2)\/o*-6)\/(10\/(-50)). Calculate the greatest common factor of 64 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.4271*0.08.\nAnswer: 1.794168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.0341\nAnswer: -0.01364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(192\/18)*(-6)\/(-45).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2607137l?\nAnswer: 260.7137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 618 and 7921524?\nAnswer: 7921524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 6*n**2 + 5*n + 4. Let j be o(5). Let y be 2\/(-5) + (-137)\/(-5). Suppose d = j*d - y. Calculate the highest common divisor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7317 is divided by 1799.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287962273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 - 4*p**3 + 5*p**3)*(7 - 3 - 3)*(-34*p - 83*p + 52*p) + 0*p + p**4 + 0*p in the form n*p + v*p**4 + a*p**2 + k + c*p**3 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28746 - 28722. Suppose 0 = -3*o - k + 3*k + 90, 90 = 3*o - 4*k. Let q = 55 - o. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7 - 16 + r**2 - 64451*r + 64459*r. Calculate j(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2566 and -1?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -93.48 and -0.014304?\nAnswer: 93.465696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 459*i - 458.\nAnswer: -(i - 458)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/18 and -43\/856.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.977779 milligrams to nanograms.\nAnswer: 8977779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 1.73.\nAnswer: 96.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371013622.\nAnswer: 2, 11, 62318801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/2640*-432)\/((-20)\/(-50)*2\/(-4)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. Let q = u - -6. Let y be q + 2 + (-3 - -2). Solve -5*k = -5, -y*h + 5*k - 10 = k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 131 = -41. Let h be 16\/20*i\/4. Let m(o) = 3*o - h*o + 0*o. Calculate m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 8:08 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 353859.57 nanoseconds?\nAnswer: 0.000000098294325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 524 - -27a5?\nAnswer: 3219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m + 0*m**2 - 4\/3*m**3 + 0*m**6 + 0*m**5 - 20 + 3*m**7 + 0*m**4. Find the third derivative of q(a) wrt a.\nAnswer: 2520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwvva. Give prob of sequence vaw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 - -4) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 1547.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 + 5*m**4\/6 + m**3\/6 - 3*m**2 - m + 16. Let v be i(10). Solve v*r - 3 + 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18393 - 10005. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - -4) + 113 + -108.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n**3 - 9*n**2 + 2865*n. Let z(q) = 3*q**3 + 2*q**2 - 573*q. Let b(m) = 2*y(m) + 11*z(m). Find the second derivative of b(w) wrt w.\nAnswer: 42*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.86299nm in micrometers?\nAnswer: 0.07786299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6 plus -11733753?\nAnswer: -11733741.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(216))\/sqrt(9) - sqrt(24) - sqrt(24))\/(2*(sqrt(120)\/sqrt(10) + sqrt(12))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7863 or 7890?\nAnswer: 7863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 3768 = -28*y. Let d = y - 6304\/5. Let j = d - -3298\/685. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*h**6 - h**5 - 8*h**3 + 42676*h**2?\nAnswer: 21120*h**3 - 60*h**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 17. Suppose 0 = -u, 2*b + 4*u - o = -2. Let i = b + 9. What is the smallest common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -7*p - 19. Suppose -5*h - p = -6*r + 2*r, 0 = 5*r + 5*h - 65. Calculate the remainder when 36 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -4 + -341 + -4. Let g be 16 - (2 - 2)\/1. Calculate the remainder when 2\/(-8) - x\/g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r**3 - 7. Let v(y) = -y**3 - 1. Give 2*f(t) - 14*v(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1281b06?\nAnswer: -1281b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/33 - -25\/33. Determine p so that -2\/11*p**3 + 0*p**2 + 0 + q*p = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6923 + 1783 - 467 = -21*u. Calculate the remainder when 771 is divided by u.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -1, -3 in descending order.\nAnswer: 9, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 + 157. Let y(w) = w**3 - w**2. Let j(c) = 9*c**3 - c**2 + 1. Calculate a*j(q) + 3*y(q).\nAnswer: -6*q**3 - 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 1. Let q be r(-4). Let p be q\/6*-6 - 4. Sort p, 17, -4 in decreasing order.\nAnswer: 17, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*o**2 + 271 - 214*o**2 - 16 - 255.\nAnswer: -922*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 4*n**2 + 24*n - 32. Determine y(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -71. Solve -d + m = -2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125401 divided by 11.\nAnswer: -125401\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 3379.27901.\nAnswer: -1689.639505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let w(m) be the first derivative of -m**5\/30 - 2*m**2 + 1. Let x(p) be the second derivative of w(p). Calculate x(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 3*b**3 - 2*b - 5*b**3 - 2*b**3 + 2 - 2 + 2*b**3 + b**3 - b**3 - 3*b**3 + 2*b**3 + 0*b**3 + (1 + 2*b**2 - 1)*(2 - 2*b - 2) - b**3 + b**3 + b**3.\nAnswer: -8*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313615.\nAnswer: 5, 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 11 + (1 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:45 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 7*q**2\/2 + 355*q + 39. What are the prime factors of f(0)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241 - 279. What is the nearest to 0 in -3, 5, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 1, n: 1, z: 1}. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 3, 16, 0, 43.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -110798 - -145?\nAnswer: -110653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4651 (base 10) in base 16?\nAnswer: -122b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444045 - -14?\nAnswer: 444103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*p**2 - 3*p**3 - p**2 - 14*p**4 + p**3 - p**3 wrt p?\nAnswer: -336*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 28*j + 14*j + 29*j - 93*j**2.\nAnswer: -93*j**2 + 15*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*a - 2*w, -a + 4*a - 47*w + 42*w = -35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 56?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142909627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 49*a**2 + 4*a + 6. Let c(q) = -47*q**2 - 3*q - 6. Let s(m) = 4*c(m) + 3*k(m). What is the derivative of s(p) wrt p?\nAnswer: -82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744625 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2335298 centuries?\nAnswer: 280.23576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 34 + (-4 - 20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13*d + 84. Let k be (-207)\/(-27) - (-20)\/(-12). Let q be p(k). Solve 5 = 2*y + 5*s - 1, -q = -y - 4*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/245, 0.05, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 1, k: 1, n: 2, p: 3, b: 3, j: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 105. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -43. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136246 take away 25636?\nAnswer: -161882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -172 (base 14) to base 13\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 115394470?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -1399\/25. Let b = 4\/25 - j. What is the nearest to b in -3\/2, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.6, -4\/143, -0.2, 2, -4 in decreasing order.\nAnswer: 4, 2, -4\/143, -0.2, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1496 and -0.3.\nAnswer: 1495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbuvjbujbuuvvbvuumb. Give prob of sequence bbvm.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -324*n + 57192. Let g be c(176). Let m be -1 - (-1)\/((-1)\/(-64)). What is the highest common factor of g and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*k - 3*k + 17, p - 4*k + 11 = 0. Suppose 3*g + 11 = 4*y - 3*y, g - 2*y + 7 = 0. Let a = g + p. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let a(k) be the first derivative of 16*k**3\/3 - k**2\/2 - 38*k - 72. Let b(j) be the first derivative of a(j). What is q(b(l))?\nAnswer: -64*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 34*b**2 - 319*b + 120. Calculate s(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 3) to base 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*g + 17. Let j(v) = -5*v**2 - 7*v + 7. Let a(q) = 4*q**2 + 6*q - 6. Let w(m) = g*j(m) + 7*a(m). Let k(t) = -2*t - 14. Determine w(k(b)).\nAnswer: -8*b**2 - 112*b - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24745*l**2 - 13347 + 13347.\nAnswer: 24745*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (9 - (2 - -17 - -4)) - -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = -3*k - 8, j + 4*k = -14. Let c = 25 - 21. Suppose 6*g + c*g = -50. Sort j, -4, g.\nAnswer: g, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**2 + 1\/6*a**3 + 0 + 3*a. Determine x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 - o + 1. Let y(j) = -5*j - 3. Let k be y(-2). Suppose k = 5*t - 3. Let d be s(t). Solve -d*p = 13 - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/3393 and 149\/24624.\nAnswer: 9283248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + 2*k - 1. Let b(m) = -m**3 - 7*m**2 - 6*m. Suppose -t = -2*t - 6. Let i be b(t). Let z = i + 1. What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -288.\nAnswer: -288, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/4 + (-75)\/(-15). Which is the closest to f? (a) -2 (b) 1\/2 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45642, -43528, -41420, -39318, -37222?\n\"Answer: -3*j**2 + 2123*j - 47762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -79.96. Let q = -1.96 + l. Sort q, -1, -1\/8.\nAnswer: q, -1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-137)\/(4110\/180))\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/6, -1\/282?\nAnswer: -1\/282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 1 - ((-14 - (-7 + -4 + -6)) + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548908959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*5*(sqrt(117) - -2*sqrt(117)))\/(-3*(sqrt(9) - sqrt(9)*-1)*6))**2*-6.\nAnswer: -975\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 - 3) - (-141 - -87)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*u = -28, -7 = -2*w - u + 6*u. Let m(h) = 4*h + 4. What is the units digit of m(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 83\/2. Let w(i) = 2*i + 16. Let k be w(-7). Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 2 (c) 6\/11 (d) -5 (e) 14.9 (f) 0 (g) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, h: 5, g: 3, z: 1}. Give prob of picking 1 z and 2 g.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1485211 litres in millilitres?\nAnswer: 148.5211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:49 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3973, -9686, -19207, -32536, -49673, -70618?\nAnswer: -95371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/32 in 1, -3\/4, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -205957.\nAnswer: -617871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -101*o - 706. Let h be v(-7). Let z(k) = -k - 1. Let w(l) = -4*l. Give h*w(p) - 5*z(p).\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1200)\/26 + (-5)\/(-130)*4. Let q = -44 - l. Suppose 0 = -4*v - q*v + 996. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*sqrt(156)*-2)\/(sqrt(144)\/((2*sqrt(120))\/sqrt(10))).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = 39*x - 30*x + 198, -5*x - 4*q + 92 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqwvvbwvbwwbv. What is prob of picking 2 v and 2 w?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 442689.5 millilitres in litres?\nAnswer: 442.6895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1743742398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50670, -50660, -50650?\n\"Answer: 10*j - 50680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 932278730 to the nearest integer?\nAnswer: 30533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 430, 471, 548, 673, 858, 1115, 1456?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.4, -845.126, 3\/49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {w: 3, y: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvvnvnnvvv. What is prob of picking 3 v and 1 n?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7760683 weeks in milliseconds?\nAnswer: 469366107.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 26*u - 7. Let p(x) = 76*x - 20. Let w(m) = 6*p(m) - 17*s(m). What is w(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 26. Suppose 0 = p*i + 70 + 18. Let f = i - -50. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4833667593 and 5939.\nAnswer: 4833673532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**3 - 9*b**3 - 40*b**3 - 40*b**3.\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1 + 0)\/(-1). What is the common denominator of (-23)\/22 + (2 - 2) and 583\/(-154) + (-1 - l)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3321 is divided by 167?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(55)\/(sqrt(22)\/sqrt(162))*3 + (5 + sqrt(80)*-2)*-2.\nAnswer: -5 + 43*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -168*o**2. Let j(n) be the third derivative of -n**5\/30 - 149*n**2 - 2*n. What is k(j(a))?\nAnswer: -672*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 2, 1, -0.07, -0.2, 2\/427?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2 + 4*r**2 - r - 6*r**2. What is p(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1184 and 150560252.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28\/9*g - 98\/9 - 2\/9*g**2 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 10*o - 17. Let c be g(7). Solve -c*p = -2*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64\/11 - 6*(3 - 2). Let h = 0.006 - 20.006. Which is the nearest to h? (a) -2 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.535332 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 2*v**3 + v**4 - v - 2*v**4 - 4*v - 4 to q*v**2 + s*v**4 + p + a*v**3 + f*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 31408503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihhzshih. Give prob of sequence si.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + 12. Let h be g(2). Let m = -0.1 + 0.1. What is the nearest to h in 0.06, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16163*3.\nAnswer: 48489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3031600 and 125.\nAnswer: 15158000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 18. Suppose -x*r + 4*o = -9*r + 52, o - 34 = -3*r. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*w - 498*w = 3*a - 0*a + 34, -27*a - 4*w - 178 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 364 + 64 = 0. What is the smallest common multiple of 55 and f?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16620 = 21*q + 100*q + 105*q + 7336 for q.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -5032?\nAnswer: -27\/5032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68288 is divided by 5687?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2 + 6*y + 6 - 4. Let w(t) = 2*t. Determine w(u(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151414010*o**2 - 3 + 75707001*o**2 + 75707007*o**2 + 3.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from xmccncxcpmnpmnmlnmcx.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -3 - -1)\/1. Suppose i = -4, 2*i + 117 = u*h - 126. Let k = h + -30. Solve w - k = 4*p, 5*p + 4 = 3*p + 2*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 18*l - 1126. Suppose -3*m - 321 = 4*w, w + 34 + 48 = m. Let o = w + l. Solve o*x - 30 = 2*i, 2*i = -4*x - 5 + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 2\/11, -272, -0.4, 0.5, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7626 divided by -41.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 2, p: 3, b: 3, t: 3}. Give prob of picking 1 h and 1 b.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640803 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 10.2, -0.4 in ascending order.\nAnswer: -0.4, 1\/5, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 551 + -549. Solve -9 = -i*q + 11*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104, 112, 110, 86, 28?\n\"Answer: -2*f**3 + 7*f**2 + f + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 25. Let q be o(-5). Suppose q = 3*b - w - 26, 6*b = 2*b + w + 33. Solve 0 = 3*z - b*h + 2*h - 4, 4*z + 5*h = -18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 - -7. What is the nearest to z in 1, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v - 20 = 0. Suppose -2 + 14 = -67*d + 68*d. Solve -2*h + 0*b + 12 = 4*b, -2*h - d = -v*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -135*l**2 - 25445*l + 25030. Let c(y) = 5*y**2 + 942*y - 927. Let g(m) = -55*c(m) - 2*u(m). Factor g(x).\nAnswer: -5*(x - 1)*(x + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10704705 divided by 973155?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1021?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-1)\/1 + -12). Let h = 9.7 + -9. Let g = -0.5 + h. Put g, k, -0.4 in decreasing order.\nAnswer: g, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/(d\/d**15)*d*d*(d*d**(-2\/49)\/d*d*d)\/d*d)\/(d**24*d*d\/((d*d**(-16)*d)\/d)))**(8\/5) assuming d is positive.\nAnswer: d**(-7464\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z)**(2\/51) assuming z is positive.\nAnswer: z**(-10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (137\/(-137))\/((2\/2)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:27 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*c + 3*c. Suppose 550 = l + c*d, 2*l - 1699 = 3*d - 563. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482 - -482.000029016. Round o to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = 5*l. What is the second derivative of i + l*i**2 - 3*i - 4*i**2 wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68620 (base 10) to base 12.\nAnswer: -33864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -4*c - d, 35*d - 159 = -158*c + 157*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 14. Let d be v(9). What is the third biggest value in 2, d, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5 - 13574*b**4 + 22584060*b**3 + 1526776344*b**2 - 1549346832*b = 0.\nAnswer: -66, 0, 1, 3426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 18*r + 17*r = 101, 3*r = -2*w + 47. Calculate the smallest common multiple of w and 1555.\nAnswer: 7775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.1179391 - -850.8780909. Let n = 864 - k. Round n to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3 - 1119136*o**2 - 259423324*o + 260542464 = 0.\nAnswer: -279552, -233, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1236198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:03 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*p + 8, -b + p + 4 = -p. Suppose b = 5*w + 19 - 49. Let f be (1 - 1) + -6 + w. Solve u + f = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 divided by 89\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(7\/5)*z**(1\/2)*z**0 assuming z is positive.\nAnswer: z**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + sqrt(272))*1 + -1 + 2 + (-2*-1*sqrt(1377))**2.\nAnswer: 5*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) 0.01 (c) -27\/56 (d) 0 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/13 - 32*a**2\/13 - 154*a\/13 - 120\/13 = 0.\nAnswer: -3, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 25. Suppose 0 = 3*n - i - 11, 4*i + t = 3*n + 2*i. Solve n*u - 6*u = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9863.15mg?\nAnswer: 9863150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 7. Suppose -7 = -4*q + f + 7, -18 = -4*q + 3*f. Let t be 1\/(-2) - 60\/(-8). Suppose q*d + t = -2*p + 17, 0 = 3*p - 2*d - 15. What is b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**(25\/2)*(t**8\/t*t*t)\/(t\/((t\/(t*t**(-5\/6)))\/t)*t))**(-1) assuming t is positive.\nAnswer: t**(259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4342 + 4345. Which is the nearest to -1? (a) 4 (b) v (c) -445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*b = 4*u - 146*b + 60, 0 = -2*b. Which is bigger: 34 or u?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 10)*(-1 + (-3)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let v(i) = -3*i. Let r be 2*(-2)\/(8\/6). Let l(c) = r*v(c) - 5*u(c). Let f(n) = n + 2*n - 4*n - 2*n. Calculate l(f(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3*v - 3)*(-40*v - 4*v + 109*v) to the form i*v + d*v**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-835)\/(-11) - -3*(-1)\/(-33). Suppose i*d - 8260 = 17*d. Calculate the least common multiple of 120 and d.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21998514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88910380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3 - 2)*(4 - 4*y**2 - 4).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 3*y, -d - 2*d - 8 = -5*y. Let h(g) = 22*g - 17. What is the remainder when h(d) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/76)\/(((-10)\/(-8))\/(-5))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -759193 (base 11) to base 6\nAnswer: -41554352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + -2*(-116)\/(-216) and 47\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/6 + 3*f**2\/2 + 13*f + 2. What is u(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733, 729, 723, 715, 705, 693?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 3*m**2 + 13*m**2 + 424*m**3.\nAnswer: 424*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p**2 + 0*p**2 - 5*p**2 + (0 - 3 + 1)*(-p**2 + 1 - 1).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*j - 45*j - 1280. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 46. Let c be i(-24). Suppose 116 = 5*h - 3*w, 2*w + 3*w - 65 = -c*h. Solve 4*s = -s - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4738 and -4\/239.\nAnswer: 1132382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 13\/(-2))\/(2\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, -3, -0.07, -9, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221221 by 37.\nAnswer: -221221\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 15602*i\/3 - 588544.\nAnswer: -(i - 15488)*(i - 114)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -29, 1, -2.\nAnswer: -29, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303758 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1244962ml?\nAnswer: 0.0001244962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4223 (base 7) to base 6\nAnswer: -10515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**5 - 2*n**4 - 3*n**3 + 2*n**2 + 2*n. Let h(p) = -16*p**5 - 10*p**4 - 16*p**3 + 11*p**2 + 11*p. Let q(l) = -22*f(l) + 4*h(l). Factor q(g).\nAnswer: 2*g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.33 - -0.13. Let j = 0.2 + -0.4. Let b = j - z. Sort 2, -2, b in descending order.\nAnswer: 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 18 = -3*p. Let c(d) = d**2 - 13*d + 13. Let g be c(11). Let b = p - g. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1704 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -38?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29423611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2730 + 13657\/5. Which is the biggest value? (a) 4\/13 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 28*m + 6. Let h be d(-21). Let u be ((-8)\/10)\/(7 - h\/(-40)). Suppose u*p + 6 = -46. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91374140.\nAnswer: 2, 5, 11, 13, 43, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -2. Suppose 0*z - 25 = -o*z. Solve -2*s = 5*b + 21, z = -5*s - 4*b - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 + 6*q + 6. Let h(p) = -5*p**2 + 7*p + 7. Let a(r) = -6*h(r) + 7*n(r). Let z(x) = -55*x**2. Determine a(z(y)).\nAnswer: 6050*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 4, -3596, 0, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39204343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114)\/418 - (-1244)\/44. What is the greatest common divisor of c and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101101110?\nAnswer: 101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963.\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (-26 - (-23 - -21) - -6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57075 is divided by 1194?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 154 = 286. List the prime factors of z\/(-18)*28644\/14.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 7*s**2 + 5*s + 8. Let v(g) = -2*g - 2. Let u be v(-4). Let c be b(u). Suppose -c*p + 273 = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -33, -15160 in decreasing order.\nAnswer: -3, -33, -15160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - a**2 - 3)*(2*a**3 + 3 - 3) + (2*a**3 - a**3 - 3*a**3)*(-3 + a**2 + 3) - a**5 - 2*a**5 + a**5.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.09 - -20.09. Which is the fourth biggest value? (a) -1\/4 (b) -0.4 (c) 13 (d) 1 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = -20. Let p(r) = -r**3 - 2*r**2 + r + 1. Let s be p(-2). What is the second biggest value in -5, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/7)*v)\/v*v\/(v*v**(-9)))**(2\/61)\/((((v\/(v\/(v*v\/(v**0*v)*v)))\/v)\/v)**(-1\/24)*v\/v**(-4)*v**(-5)\/v) assuming v is positive.\nAnswer: v**(545\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 4\/17 (c) -4\/9 (d) -5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -106, -263, -470, -721, -1010, -1331, -1678?\nAnswer: -2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23882294 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:59 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069757 - -0.1?\nAnswer: 0.030243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**2. Let f(g) = -14*g**2 - 1. Calculate f(d(j)).\nAnswer: -1694*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d + 5*g - 1492, 0 = 3*g + 3. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003232537784 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5*(-20)\/(-54)*66\/(-88)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/2 + 4*o**3\/3 + 1. What is the third derivative of b(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2502395, 2502418, 2502455, 2502506, 2502571, 2502650, 2502743?\n\"Answer: 7*n**2 + 2*n + 2502386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 7. Let m be x(10). Suppose -m*c - 4 = -c. Let j(b) = b**2 + 2*b + 3. List the prime factors of j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678423377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*(-266)\/(-76).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by -54?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 10. Let h be a(-2). Suppose 29 = -5*m - 4*t, t = -0*t + 4. Let z = -13 - m. Is z at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.024603 - 61338.024603. Let b = -61330.1074 - y. Let c = -7.9 + b. Round c to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*u**3 + 3264*u**2 + 15028*u + 19652 = 0.\nAnswer: -17, -17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 5. Let f be l(-11). Suppose f*x = 17*x. Suppose -4*p + x*p + 4*w = -52, -4*w - 61 = -5*p. Solve -p - 11 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**7\/1365 - 19*q**6\/390 - 62*q**5\/195 + 19*q**4\/78 + 41*q**3\/13 - 1324*q**2 + 1. Solve r(c) = 0 for c.\nAnswer: -3, -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 231. Suppose 0 = 56*m - 50*m - 228. Calculate the remainder when n is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 0.1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 351973*g + 1760045. Determine n(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5502 - 5441. Which is the second smallest value? (a) 1\/9 (b) -2\/9 (c) n (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170\/13 - -7441\/572. What is the common denominator of i and -47\/121?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let v = 104\/215 + 5\/43. Which is the closest to 1? (a) -2 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/108633?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -3 (b) -333 (c) 5 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.12777, -1\/3, -3\/2, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128200 and 100?\nAnswer: 128200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 15. Let h(l) = -l + 3. Let m(x) = -2*h(x) + j(x). Suppose -4*k + 1 = -23. What is m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 + 19 = 0. Let i be (d\/(-14))\/(12\/28). What is the nearest to 0.1 in 5\/6, i, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i + 64. Let s = 26 + i. Calculate the remainder when 58\/(-4)*(-2)\/1 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 22. Let z be q(-17). Let g be (11 - (-1 + z)) + -5. Solve 0 = 2*t - t + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 = -1. Suppose 0 = -2*t - 3*t + 25. Let h(j) = j - 6. Let i be h(5). Sort w, i, t in decreasing order.\nAnswer: t, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -108*v**2 - v**3 + 47*v**2 - 28 + 46*v**2 - 16*v. Let n be f(-14). Suppose -5*i + n*i = -75. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109 + (-4 - (-55)\/11).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*u, 6*u - 3*a + 24 = 2*u. What are the prime factors of 12\/(-18) - 59\/u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20374399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u + 459*u**2 + 6*u - 457*u**2 + 8. Let t(j) = -7*j. What is q(t(w))?\nAnswer: 98*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3243*a + 3251*a - 3 + 3297*a + 3243*a - 13033*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1 + (0 + 3 - 1)*(0 + 0 - 2))*(6*c**4 + 4 - 4) as h + z*c**2 + o*c + q*c**4 + x*c**3 and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -150854380 and 513.32.\nAnswer: -150853866.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 17, -5 in ascending order.\nAnswer: -81, -5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 362081949266 + 0.353\nAnswer: 362081949266.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 20*j - 37936. Give r(185).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 + (-59 - -72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*y - 2, 587*y - 1 = 588*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1384, -1383, -1382?\n\"Answer: h - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 5*c**2 - c - 5. Let y(g) = 11*g**3 - 14*g**2 - 3*g - 14. What is -17*q(j) + 6*y(j)?\nAnswer: -2*j**3 + j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 585 * -1\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34890, -279040, -941728, -2232222, -4359790?\nAnswer: -7533700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5)*n*n)**(-40)*((n\/n**5*n)\/n)**(1\/14) assuming n is positive.\nAnswer: n**(558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11111110 (base 2) to base 11\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*m + 1 + 1, 0 = -m. Let p(w) = 31*w**2 + 4*w + 4. What is the remainder when 45 is divided by p(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 3, w: 2, a: 1}. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225 + 225 + 5*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -37 - f**2 + 37*f - 82*f + 45*f. Let d(y) = -y - 3*y + 2*y. What is d(b(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0)**2 + -4.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1992, -1942, -1888, -1830?\nAnswer: -1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2) - -3)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let m(i) = 11*i**3 - 1. Is m(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = 19*u - 1080. Calculate the greatest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 3 + 4 + c - 8.\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + -1.3. Let p = -2 + 5. Let w = p - 0. Sort w, 2, d.\nAnswer: d, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**5 - 327*j**4 - 12846*j**3 - 213246*j**2 - 1323135*j - 2695275.\nAnswer: -3*(j + 5)**2*(j + 33)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6adacc (base 14) to base 3.\nAnswer: -20212101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 185 + 2346*i**2.\nAnswer: 2346*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -147868 and -147890 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 1325*-111\nAnswer: -147075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -1)*(-14)\/(-35) - (36 - 37). Solve -4*y - 52*m = -53*m - 12, 0 = y - 2*m - n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1180*j**2 - 2347*j**2 + 1187*j**2.\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 773*u**2 - 155*u - 1. Is 11 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 61, 58, 55, 52, 49?\n\"Answer: -3*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/5, 20, -1\/21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46\/3 or -8?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - (2 - -2)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -132*r + 267*r - 117*r - 1053666. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*d**3*p - 722*d**3 + 12*d**2*p - 2*d**2 - 57180*d*p - 35*d + 2 wrt d?\nAnswer: 102*d*p - 4332*d + 24*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-72))\/(65\/117*3\/150)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 - 305*c**4 - 22483*c**3 + 117649*c**2 - 190960*c + 96100 = 0. Calculate c.\nAnswer: -155, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - r = 29 + 83, 5*f - 273 = -r. Suppose -17*c - f = -12*c. Let j be ((-33)\/(-15))\/c*(-10)\/(-4). What is the fourth biggest value in 5, j, -2, -0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1184 - 5?\nAnswer: -1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 194976 = -11*r + 250488. What are the prime factors of r?\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587844 is divided by 445.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 5 + (-2 + 0 + 0)*(4 - 5 - 1))*((0 + 3 - 1)*(b + 4 - 4) - b - 4*b + 2*b - 11*b - 20 + 20).\nAnswer: 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -0.2, -5, -18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419642?\nAnswer: 2, 3, 7, 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-5 + 48\/9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 150, 187, 182, 123, -2, -205?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (28 + -35)) + (37 - 2) + 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-126)\/12*-2*(-102)\/(-42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a micrometer in nanometers?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 102 = 36 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 207421794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3084 - -12794. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrrsksksrkkksrk. Give prob of picking 1 k and 2 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 44*r**2 + 44*r**2 - 22*r + (-r - r + 4*r)*(17*r**2 + 5*r - 5*r).\nAnswer: 37*r**3 - 22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 73049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -79*c**2 + 8*c + 3. Let z(x) = -286*x**2 + 23*x + 10. What is 7*s(k) - 2*z(k)?\nAnswer: 19*k**2 + 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 50*k - 10 = 0. Sort -7, 3, k, 2 in descending order.\nAnswer: 3, 2, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207529 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -3780000 and -3779999 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(22)\/sqrt(2)*-2 - sqrt(176)*1) + (sqrt(704)*1)\/(sqrt(8)\/(sqrt(2)*-1)))*-1.\nAnswer: 4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + 40\/12. Suppose -1 = -2*d - u, -2*v + 5*d + 17 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*x + 5*x + 550*x.\nAnswer: 1394*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 15675*x + 46992. Calculate y(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3 + 28597*n**2\/2 - 235661*n\/2 + 28564 = 0.\nAnswer: 1\/4, 8, 7141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Let s = -1318.8 - -1319. What is the nearest to 1 in j, s, -10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*l. Let v(h) = 3*h - 4. Let d(y) = -y. Let z(f) = l*v(f) + 2*d(f). Let q be z(4). Is q <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = -4. Let z be 0\/(((-4)\/4)\/p). Suppose 0 = -z*f + f - 22. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 take away 0.0939?\nAnswer: -256.0939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) -9 (c) 53\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let n(c) be the third derivative of 0*c**3 + 11*c**2 + 0 + 0*c - 1\/24*c**4. Give n(x(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29839778 + 21723345311\/728. Let a = 236\/13 + y. Find the common denominator of (3 + 0)\/(264\/32) and a.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 62*y**2 + 8*y + 2. Let n(b) = 61*b**2 + 7*b + 2. Give 5*g(f) - 6*n(f).\nAnswer: -56*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2699984000 rounded to the nearest one million?\nAnswer: -2700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 104.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1973.3?\nAnswer: -5919.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -4 - -3 - -8) + 11.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 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: Solve 3*b - 38 + 12 = 4*j, -21*b = -17*b - 40 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 3. Suppose -g = 2*y + g - 20, 2*y - 2*g = 4. Let k be f(y). Calculate the remainder when (30\/k)\/((-1)\/3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*y - 3*y - 5, 4*k + 5*y = 14. Let s be (k + (-5)\/2)*-2 + 2. Is -1*(-113)\/(s + -3 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2050 = -5*v + 4*h, 0 = 3*v - 4*h - 1259. Calculate the remainder when v is divided by (1 - 4)\/((-3)\/32).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/5 - -37\/15. Let k = 0.04 - 2.04. Let n = k - -2.2. What is the closest to c in 1, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**2*p**2*s - 105*b**2*p**2 + 16*b**2*s**3 + 2*b*p**2*s**2 + 2012*p**2*s + 21*p*s**3 wrt b?\nAnswer: 38*p**2*s - 210*p**2 + 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9 - 9 - 7*l**2. Let z(c) = -6*c**2. Let s(r) = 5*x(r) - 6*z(r). Let k(n) = n - 1. Let t(u) = -15*u + 1. Let g(p) = k(p) + t(p). Give g(s(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - 4*p + 9. Let o(c) = 5*c**2 + 3*c + 2. Let a be o(-1). Let g be x(a). What is the greatest common factor of g and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 632, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(1 + 2*m**2 - 1) + (2*m - 3*m - m)*(4*m - 37*m + 151*m).\nAnswer: -238*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = -476. Suppose -4*s + 2*d = -f - 56, 4*s - 288 = -4*d. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 4. Let h be f(2). Suppose -4*q + 5*a = 1, -h = -a + 3. Solve q = c - 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/30 + v. Solve h(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 190.2. Suppose 3*q + 1 = 10. What is the nearest to -1\/4 in q, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5547094, 5547095, 5547096?\n\"Answer: u + 5547093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4624367 - 72.\nAnswer: -72.4624367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3\/5 (c) -2\/5 (d) 42733 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttwtttttwt. What is prob of picking 2 w and 2 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = 0, 5*w - 3*j - 75 = -0*j. Let s be -1 - 3*((-16)\/w + 2). Let x be 1\/3 - (-2 - 4\/s). Which is the nearest to -2? (a) x (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:09 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*a = -0*a, 5*t - 5*a - 25 = 0. Solve -2 = -r - w - 2*w, t*r = 4*w + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-952))\/(((-338)\/104)\/13)*(-4)\/1.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 9479082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 51*n - 7. Let f(v) = -2*v**3 - 2*v**2 - 2*v + 2. Let h be f(0). Does 5 divide t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u + 23. Let q(z) = 4*z + 12. Let d(i) = 3*l(i) - 5*q(i). Let w be d(-11). Which is the smallest value? (a) 3 (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 223*u + 3895. What is t(-17)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22463269111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-7)\/((-21)\/(-12)). Let c = 4 + t. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30061949419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 65563363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 7*s**2 + 3*s**2 - s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 25*z**2 + 6*z + 12. Let h be c(-25). Let t = 134 + h. Let j(m) = 4*m + 6. Let b(w) = 12*w + 18. Let g(x) = 6*b(x) - 17*j(x). Give g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgg when three letters picked without replacement from {z: 5, f: 1, g: 3, d: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-48)*6\/(-15))\/(377\/(-203))?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 7, 0.3, -2546?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 8. Let u = 838 - 830. What is x(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r - r**3 + 8 - 7*r**2 + 0*r + 0*r + 2*r. What are the prime factors of c(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (20 + 1 - 0)*1104\/(-2576)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*s = 44 + 1, y = -2*s. Let p be -1*(-3)\/((-27)\/y). Is p less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 10*j = j - 5, 2*p + 2*p - 2*j + 0 = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*q + 45*q - 8050 = -68*q. Solve -3*i - 2*i + q = 5*k, -5*i = 2*k - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42345 and 2?\nAnswer: 84690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716 - 496. Calculate the greatest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1537.6 + -1391. Let d = 175 - v. Let s = 50.5 - d. What is s rounded to 0 decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/45 and -34\/206905.\nAnswer: 1862145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/20)\/(6\/16). Let a(f) = -5*f**3 + 5*f**2 - 3*f + 3. Is a(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -6*n + 294. What is the remainder when 134 is divided by n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655)*2)\/(sqrt(45)*-1) - ((-1*sqrt(396))**2 - sqrt(121)\/(sqrt(1331) - sqrt(11))).\nAnswer: -396 - 217*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 - 11*w**5\/60 + 11*w**4\/24 - 8*w**3\/3 - 1035*w**2. Calculate b(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -135*b**2 - b + 1. Let r be w(1). Suppose 0 = -0*y + 4*y - 84900. Is (-4)\/18 - y\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1173*r + 389. Is p(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(150)*1*-1)\/(sqrt(110)\/sqrt(176)))\/((sqrt(1500) - 2*sqrt(1500))\/sqrt(3)*2))**2.\nAnswer: -97\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9)\/((-70)\/84)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 74 + 3*v - 145 + 7*v**2 + 68. Let z(l) be the third derivative of l**4\/24 - l**3\/6 - 7*l**2 - 1. Calculate -h(g) + 3*z(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 9*f + 826. List the prime factors of f.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:19 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (-1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**2 + 9*g**2 - 54*g**5 - 14*g - 9*g wrt g.\nAnswer: -3240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*v + 26 = 0, -j + 2*v + 7 = v. Let z be 14\/3 - 2\/3. Suppose o + 8*t + 4 = z*t, -j = o + 5*t. Solve 0*b - 3*b + 5 = o*d, -10 = -5*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/((224\/(-200))\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15979254 minus -0.4?\nAnswer: -15979253.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c - 118. What is the remainder when n(-30) is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 4*t - 33, -2*t - 13 = 3*f - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21415850767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12689, -12700, -12725, -12770, -12841, -12944, -13085, -13270?\n\"Answer: -b**3 - b**2 - b - 12686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(-3)\/36)\/(55\/40). Let s = 0 - 10. Let t = s + 10.3. Sort r, 0.2, t in descending order.\nAnswer: t, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.22+1849062150\nAnswer: 1849062163.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59896961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 0.6. Let j = -9 + 17. Let t = j + -8.2. Which is the closest to q? (a) t (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -5 (c) 0.6 (d) -0.4 (e) 3359 (f) 6.37 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124331 (base 7) to base 5.\nAnswer: 1220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*r + 24, 0 = 3*o - 0*o - 5*r + 22. Let j be 2 + o - 27\/9. Is j >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2241)\/44820)\/((-3)\/(-30)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*h**3 - 7 + 6.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + f + 1. Let l(x) be the second derivative of -x**5\/10 - x**4\/4 - 5*x**3\/6 - 3*x**2\/2 - 8*x. What is 2*l(a) + 6*p(a)?\nAnswer: 2*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/13892 and -43\/6644.\nAnswer: 152812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/6 + w**3\/2 - 2*w**2 + w. Let f = 3 - 3. Suppose f = -3*c - c - 12. What is t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - -400. Let s = 469.3 - l. Which is the closest to 2? (a) -1 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.8 + -175.3. Round y to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minus 0.98?\nAnswer: 473.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) -0.06 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3753402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -67 - 3*a**2 + 66 + 4*a**2. Let r(p) = -32*p**4 + 2*p**2 + 22*p - 2. Let n(u) = r(u) - 2*s(u). What is the second derivative of n(j) wrt j?\nAnswer: -384*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/60 + m**3\/30 + 6*m - 3. Factor t(a).\nAnswer: a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 2. Let u(i) = 3*i + 10. Let t be u(-4). Sort -1, g, t in increasing order.\nAnswer: g, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 3 (c) 5754\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ldddldmiddml.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 17*c - 136. Let a be o(6). Solve 0 = b + a, 0 = -2*u - b - b - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:57 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 2 j when four letters picked without replacement from amgaaagjhahajauaj.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3528*i - 9083*i - 93*i - 5103*i.\nAnswer: -17807*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**2 + 172. Let c(q) = -q - 267. What is c(r(j))?\nAnswer: -2*j - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 23072?\nAnswer: 23066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/2 + 2077*o**2\/2 - 37729*o\/2 - 39805\/2 = 0.\nAnswer: -2095, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 4. Suppose -5*y = -a + f, 5*a = -0*a - 2*y + 4. Suppose -2*o + 5*t + 26 = a*t, 5 = 3*o + 4*t. What is the greatest common factor of 28 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10596 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, -8, -60, 4.\nAnswer: -60, -8, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 0 + 4*j**3 - 6*j**3 + 3 as l*j**3 + o*j + q + i*j**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215886752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z + 15. Suppose 3*r - 4*b - 12 = 280, 3*r - z*b = 287. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -62.57. Let s = -57.57 + g. Let c = s - -58.00000148. Round c to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7883712 and 320?\nAnswer: 39418560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6317223 or 2?\nAnswer: -0.6317223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60*137*3\/6*1. What is w rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**5 + 0*v**5 - v**5 + (-4 + 7 - 2 - v**4 + 11*v**3)*(-6*v + 0*v + 4*v).\nAnswer: 8*v**5 - 22*v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 601\/356355 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, -2*x - 4*a = a + 4. Sort 15\/11, x, -2\/7 in ascending order.\nAnswer: x, -2\/7, 15\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 21*b**3 - 22*b**3 + 49*b**3 + 3*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9455, 9727, 10491, 11993, 14479, 18195, 23387?\n\"Answer: 41*x**3 - 15*x + 9429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:29 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:12 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 16. Let p be (-2)\/d + 1\/(-2). Is 3*5 + p\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/70*30\/(17850\/(-49))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 2\/23, -1 in descending order.\nAnswer: 1, 2\/23, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111 and 4.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -30. Let v be (-4 + 1)*y\/12. Suppose -11 = -j - v. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = -2*f, -5*f + s + 35 = -3*s. Find the second derivative of 4*r + r + f*r**3 - r**3 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - -117. Calculate the smallest common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*m**3 + j**3*m**2 - 2139*j**3 + 29*j**2*m**3 - 5*j*m**4 wrt m?\nAnswer: 12*j**3 + 174*j**2 - 120*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 11 + 7 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761*s + 9856 = -2169*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r + 6*r - 25*r - 21*r - 3. List the prime factors of h(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -25. Let z = 80697 - 80696. Let o = 4.7 + -5. Which is the fourth biggest value? (a) z (b) o (c) -3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 10. Put f, -3, 2 in increasing order.\nAnswer: f, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23403231 + 23?\nAnswer: 23403304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y + 30. What is c(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 10*q - 1. Determine o(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 3. Let k = 224 + -223. Let z be l(k). Let o be (5 + -4)*(0 - 0). Which is the second smallest value? (a) -5 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -0.6. Let d = -0.09 + -2.91. Is d greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/114 - 47\/15. Let j = 40\/97 - -661\/1455. Let t = u - j. Calculate the common denominator of -19\/10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 26*t**2 - 3 + 28*t**2)*((t - t - 3*t)*(1 - 4 + 2) - 2*t + t + 0*t) to the form l*t**3 + n + s*t + x*t**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3233310 (base 4) to base 10.\nAnswer: -15348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c**2 + 2*c - 6. Suppose -7 = -q - 2. Suppose 0 + 5 = q*n + 2*y, 0 = 4*n + 2*y - 6. Let g = n + 6. Determine r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4 + 858*y**3 + 23415*y**2 - 76296*y + 52020 = 0?\nAnswer: -255, -34, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1294029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 16*s**3\/11 - 9170*s**2\/11 + 1622268*s\/11 - 82314306\/11 = 0.\nAnswer: 697\/8, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 551675981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17887, 20718, 23569, 26446, 29355?\nAnswer: 32302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2143930 less than -32158942\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 5*y**2 - 10*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-730)\/(-1533))\/(5\/(-14))*(-1 + 19)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.9459 milligrams in grams?\nAnswer: 0.0449459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -148. Let i(v) = 79*v - 58. List the prime factors of i(p).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 28\/13*r**2 + 16\/13 - 40\/13*r - 6\/13*r**3 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133434394 to the power of 1\/2, to the nearest integer?\nAnswer: 11551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1200216\/(-54661) - 4\/94\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 20. Let x(j) = -31 - 8*j - 50 - 5*j. Let v(z) = -9*n(z) - 2*x(z). Suppose 192*s = 76*s + 66*s + 77*s. Determine v(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) - 126\/(-27). Suppose 5*z + 1 = 4*h - 5*h, -5*z + l*h + 5 = 0. Solve 5*c + 2*d - 16 = -z*d, 5*d = -3*c + 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s - 2. Let x(u) = -u. Give l(v) - 2*x(v).\nAnswer: -v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/339 in 1\/3, 5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 10.4 (c) 51 (d) -2\/3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/10 + j**4\/2 + 6*j. Find the third derivative of d(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 17*r - 18. Let q be u(-16). Let y(m) = 5*m**2 + 2*m - 1. What is the remainder when y(q) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/51*387\/(-6). Let l = -37 + u. Solve -g = -3 + l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -66 + (61 - 28)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -98, -197, -294, -389, -482?\n\"Answer: t**2 - 102*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - l + 0*l)*(-2 + 2*l + 2) + 0*l**2 - 3*l**2 - l**2 + (-l - l + 0*l)*(102*l - 14*l + 16*l)*(0 + 3 + 1) to the form i + a*l**2 + w*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 - -86. Let t = -200 - o. Let a = t + 222. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -53, 37, 3, 60, 23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-one quarters of a micrometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 7, -0.07 in increasing order.\nAnswer: -2, -0.2, -0.07, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6))\/(y*y\/((y**(-4\/7)\/y)\/y)))**48*(y**9*y\/y**(2\/3))\/((y*y**(1\/4))\/y**(-7\/4)) assuming y is positive.\nAnswer: y**(-9515\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = 2*n, -4*n + n = -t + 11. Let u be (1*8\/(-4))\/1. What is the fourth biggest value in -0.4, t, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k. Determine a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31269.980198 - -0.019802. Let i = k - 31255.0015. Let f = 15 - i. Round f to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*r + 638 = 618, 2*r - 94 = -24*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 12*m - 8 = 0. Let a(f) = f**2 - m - f + 0 - f + f. Calculate a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20717*i - 2734 = 20620*i - 8360 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 60*b**2 - 11*b**2 + 69*b**2 + 0*b.\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*p - 62 = 132, 5*g - p = 294. Suppose 4*f - 256 = -4*k, -2*f + 4*k - g = -186. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3322, -3261, -3160, -3019, -2838, -2617?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 57 = -4*o, 6*o + 137 = -5*f + 42 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185.23 + -185.03. What is the fourth biggest value in 4\/7, 0.005, 6\/5, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. Suppose -3*u + j*u = -2*u. Is u < 2\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 17*t + 15809288. Let n = -2204644 - t. What is n rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*x + 278*x - 21186 = -87*x for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = -6. What is the second biggest value in t, -5, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -548, -4, -2, -167716 in descending order.\nAnswer: -2, -4, -548, -167716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 339 + -719\/2. Let d = y + 21. What is the closest to d in -5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**2*q**4 + 22821*d**2 + 688*d*q**4 - d*q**2 + 2*q**4 wrt q.\nAnswer: -192*d**2*q + 16512*d*q + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 3:05 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2505021*n**2*r - 2296204*n**2 wrt r.\nAnswer: 2505021*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 0 - (-12 - -52). Let u = 46 + a. Suppose -8*y = -u*y - 225. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 + 2*l - 1. Let f be ((-8)\/14)\/((-6)\/21). Let k(i) = 5*i**2 - 11*i - 5*i**3 + 6*i**2 + 5 + 5*i**2. Give f*k(v) + 11*o(v).\nAnswer: v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.166141 rounded to one dp?\nAnswer: -20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21515 divided by -13\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 7*l**2 + 3. Let s be c(7). Let w(d) = 2*d - 2. Let f(o) = o - 1. Give s*f(g) - 2*w(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6206 (b) -1\/4 (c) -0.039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 493355*c**2. Let w(t) = -4*t**2. Calculate f(w(g)).\nAnswer: 7893680*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2*-4)\/(((sqrt(12) - (sqrt(192) - sqrt(12) - sqrt(12)))*-1 - sqrt(12)) + sqrt(12) + sqrt(12)) + (sqrt(51) + sqrt(102)\/sqrt(2)*6)\/sqrt(3)*1.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + sqrt(1053)*-1 + sqrt(1053) + 5 - (sqrt(1053) - (sqrt(1053) + -2 + 4 + sqrt(1053))) - (0 + -4*sqrt(1053) + sqrt(1053))*3)*-4)**2.\nAnswer: 22176*sqrt(13) + 2039392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 19 = 3*h, -23*q + 19*q = -6*h - 46 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 24. Let k be c(12). Suppose -b + 54 + 103 = k. Suppose -j - 6*m = -2*m - 89, m = -2*j + b. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58660 and 1386052?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + l**2\/2 - 2*l - 1. Let a be w(5). Suppose 8\/7*b**4 + 2\/7*b + 18\/7*b**a + 0 + 12\/7*b**2 = 0. What is b?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 36. Let u be j(-11). Suppose 0 = -u*z + 3*x + 402, -z + 0*x = 3*x - 126. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/53 (b) 3\/4 (c) 1\/113 (d) 13 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-5)\/(-1))\/(-5))\/4)\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822049764.\nAnswer: 2, 3, 281, 243787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4636, 1750, -1140, -4034, -6932?\n\"Answer: -2*b**2 - 2880*b + 7518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -692 divided by 334\nAnswer: -346\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 2*o - 354. Suppose o*v - 48 = 9*v. Solve -5*h + 3 = 3*c, 4*h = -v*c + 5*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59677 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/5 - (-1758)\/15. What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 22216788 = -124*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 15 + 5)*(4*m + 2*m - 5*m) - 6*m + m + 3*m + (3 - 3 - 2*m)*(-1 + 3 - 1).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1535 - 822. List the prime factors of l.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83670 + 784262372?\nAnswer: 784346042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/7)*v))\/v**(-2\/3)*(v*v\/(v*v**(-1)))\/(v\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(82\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 53. Let z be ((-1)\/(-8)*4)\/(h\/38). Suppose -3*y = 3*r + 15, -5*r - z + 4 = -5*y. Does y = -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67829697 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*x = -30, 6*a = a + 3*x + 48. What is the remainder when 16 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*a**5 + 751*a**4 - 3573*a + 16 wrt a.\nAnswer: 540*a**3 + 9012*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1260 divided by 90.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**3 - 2519*k**2 - 71618*k + 3270. What is b(657)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 - 17*a**2 + 131*a - 872. What is c(7)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10092, -9556, -9020?\nAnswer: -8484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*11\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - ((-3 - -145) + -94)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmhj. Give prob of sequence mjh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1504*u = 1353*u + 6191 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from fllxxfllllfffl.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 + 218. Let q = -157.9 - v. Let u = -7 - -11. Which is the nearest to -1? (a) 1\/4 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55306.75 hours?\nAnswer: 199104300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*j + 3260 = 183*j + 584*j. Find m such that 2\/7 + 10\/7*m**4 - 2\/7*m**j + 20\/7*m**2 - 20\/7*m**3 - 10\/7*m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1887.2 * 2.2\nAnswer: -4151.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*d**4 + 890*d wrt d?\nAnswer: -1044*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(468) - 2*sqrt(468))**2 - (0 + sqrt(65)\/sqrt(5))*6.\nAnswer: -6*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -19. Suppose 2*c - 8 = 3*h + m, 5*c = 3*h + 48. Calculate the common denominator of -95\/4 and (-102)\/c*(-10)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6196.27554 minutes?\nAnswer: 0.614709875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -18*k. Let q(x) = 2*x. Give s(q(n)).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*g + 18, 2*x = 5*g - 1 + 20. Suppose 6*y = 34 + 344. Calculate the greatest common factor of x and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907 divided by -558.\nAnswer: 907\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 4\/3 (c) 126 (d) 1 (e) -3\/37 (f) 4 (g) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -12 (c) -6\/13 (d) 0.968 (e) -3\/2 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {q: 2, f: 5, o: 2, l: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1619, 3240, 4873, 6524, 8199?\n\"Answer: o**3 + 1614*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -3*y**2\/2 + 2. Let p be z(-1). Let w be (8\/(-48))\/(2\/8). What is the smallest value in p, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323113310 + -130?\nAnswer: -323120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -292*b + 294*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 2348 (c) 16\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let y(z) be the second derivative of -1\/3*z**4 + 0*z**3 + 0 - 4*z + 0*z**2. Give y(q(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 = -21*j + 450 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2154 = -g + 602, 5*a - 3*g = 13804. What are the prime factors of a?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + 7 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 297, 291, 283, 273?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17183 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g + 2619. Let t be a(0). Suppose 8*r - t = 2957. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**2 + 2*l. Let k be p(4). Suppose 0 = -2*j + k + 30. Let v = 257 - j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27967 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:44 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -21*t + 88. Let i(p) = 1012*p - 4224. Let w(o) = -385*c(o) - 8*i(o). Calculate w(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -327\/5*s - 666\/5 + 3\/5*s**2 = 0.\nAnswer: -2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*g**5 - 82*g**2?\nAnswer: 5040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/o**(2\/5))\/((o*o\/(o\/(o*o*(o**(-19\/2)*o)\/o*o)*o)*o*o*o)\/o**(1\/19)) assuming o is positive.\nAnswer: o**(3069\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -290193111*p**2 - 49415514?\nAnswer: -580386222*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.29 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4214733, 4214759, 4214781, 4214799, 4214813?\nAnswer: 4214823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 38628?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2695740 and 50140764.\nAnswer: 250703820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*6*-24*30\/13680.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15 + 16 - 8060002\/((-6)\/(-3)). What is v rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*l - a, -5*l = -2*l + a - 46. What is the remainder when 54 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12534d (base 16) to base 3\nAnswer: 2021000102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.7 + -1.3. Let q = 28 + -55.5. Let o = q - v. What is o rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/358 and 11\/6802?\nAnswer: 6802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:50 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 2*y - y + 28*y**2 + 6*y**3 - 24*y**2 in the form x + a*y + o*y**2 + m*y**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353366 + 2473634\/7. Factor -8\/7*f**5 - 312\/7*f**3 + x*f**2 + 14*f**4 + 0*f + 0.\nAnswer: -2*f**2*(f - 6)**2*(4*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2. Let g(c) = 445*c**2. Give g(d(t)).\nAnswer: 4005*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 - 152\/180. Let i = -14 - -10. Let j = i - 6. Put j, 3\/5, g in decreasing order.\nAnswer: 3\/5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - i - 500, 5*i = 4*t - t + 506. Let k = -178 - t. Which is greater: -13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20 = 8. Let b = -5 - -20. Let l = b - j. Solve 2*h + l = 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-7))**(-37)\/(d**(-3\/5)\/(d*d**(2\/45))) assuming d is positive.\nAnswer: d**(-13246\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + -1)\/(2\/(-59)). Suppose 6*h = m + 45. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29736 divided by 28.\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203)\/(-1764) + 36\/(-1134)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d\/(d*d\/d**(-6))*d))\/(d**(-21)*d)**(-3) assuming d is positive.\nAnswer: d**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 12 - 1009*a**4 + 12*a + 1010*a**4 + (4 - 1 - 4)*(-a**4 + a**2 - a**2) as m*a**3 + j*a**2 + y*a**4 + f + w*a and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -9 - 9. Let b be 2\/y + 5730\/27. Suppose 0 = 5*r - w + 5*w - b, -175 = -4*r - 5*w. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1195 and 326.\nAnswer: 389570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n - 39*n**2 + 36*n**2 + 110*n - 229*n.\nAnswer: -3*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 1650 - 1650.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2188*l + 105. What are the prime factors of z(-2)?\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 8883512?\nAnswer: -1\/4441756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/63*3*(-3 - 4). Suppose -3*r + 53 = p + 1, 2*p - h*r = 64. Let w = 32 - 13. What is the remainder when p is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -311, -590, -1001, -1544?\nAnswer: -2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70.9564 - 0.0564. Let p = u - 71. What is the second smallest value in 0.3, 5, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1030 + -1039 - (30 + -1 + 0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 - -21101?\nAnswer: 20404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -372, -849, -1528, -2415, -3516, -4837?\n\"Answer: -g**3 - 92*g**2 + 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18368.3571 to the nearest 10.\nAnswer: -18370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5786 and 1969?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - 15*h**3 - 30*h**3 - 8*h - 12*h - 16*h**3 + 69*h**3.\nAnswer: h**3 - 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 1704\/(-12))\/(-23 + (-462)\/(-21))?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 6 + 2*1. Let k be 1\/(-2) + g\/20. Let n be (-4)\/(-12) - (2 + -1). Is n < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, -6, 116, -3, -1, 5 in descending order.\nAnswer: 151, 116, 5, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 12:45 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 0 + -4.\nAnswer: -4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**5 - 17603*c**4 + c**2 - 7*c + 11559?\nAnswer: -100*c**3 - 211236*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6815*h + 6910*h - 2755 = 0 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56520.92 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -40 - 15*w - 37 + 84. What is the tens digit of n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 10352*i**2 + 17 - 6.\nAnswer: 10352*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109, 150, 193, 238, 285, 334?\n\"Answer: i**2 + 38*i + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 37 - 1 = 0. Suppose 0 = 4*j + 20, 2*j + 1 = -3*i - 0*j. What is the remainder when 20\/i*(-36)\/(-15) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*o + 22, o + d = -2*o + 26. Suppose 0 = -6*c + 226 + 146. Suppose 46 = 4*u + c. Put u, 1, o in decreasing order.\nAnswer: o, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:34 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350\/267 - 2\/89. Suppose 0 = -4*f + 5*n - 4, -3 = f - 2*n + 1. Suppose 4*p - 15 = t, -f*p + t = p - 20. What is the second smallest value in p, 3\/7, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 10. What is the remainder when ((-32)\/(-40))\/(4\/10) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21271978 and 3304?\nAnswer: 85087912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 671, 1025, 1403, 1811, 2255, 2741?\nAnswer: 3275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2998386158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27381 divided by -9127?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*a - 5*a**5 - 11*a**5 + 3*a**3 - 3*a**3 wrt a?\nAnswer: -320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (100\/16)\/5 - 2. Let y be 2\/(-10) + 38\/90. What is the smallest value in 0.2, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {a: 9, d: 2}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -12*j + 70 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 194939?\nAnswer: 9\/194939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 554, 6, 96, -5 in descending order.\nAnswer: 554, 96, 6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0 = -10. Suppose -z*t + 252 = 4*t. Suppose -t = -3*u - 6. Calculate the greatest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5950\/(-539) - -11)*72\/216?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**3 + 19*x**2 - 46*x + 27. Calculate p(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 51 = 12. Let x(w) = -2*w**3 + 21*w**2 + 29*w + 23. Let a(p) = -p**3 + 10*p**2 + 14*p + 11. Let m(q) = s*a(q) - 6*x(q). Determine m(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(98) + -4*sqrt(98))*-4)**2.\nAnswer: 504*sqrt(2) + 14121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p + 120*p - 234 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*y - 15 = 0, -2*n - 9 = -3*y - 0. Suppose n = -x - x + 6. Let q be 15\/2 + 6\/(-4). Calculate the greatest common divisor of x and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 4:35 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*h + 18 = 0, -2*n - h - 2 = -10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 17132?\nAnswer: 3426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*a = 8*d + 24, -3*d - 2*a - 18 = 0. What is the second biggest value in -0.7, 2\/11, d?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33508611 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -4, 71 in ascending order.\nAnswer: -4, -2, 11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j - 2*j + 2 + 0*j + 3. Is h(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -281, -393, -515, -653, -813, -1001, -1223?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**2)**(4\/3))**(-30\/7))**(-1\/68) assuming y is positive.\nAnswer: y**(30\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13565591?\nAnswer: 13, 29, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28066*h**6 - h**2 + 2332*h + 2?\nAnswer: 3367920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45040495*b**4 + 75676906*b?\nAnswer: -540485940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -78435, -78458, -78513, -78618, -78791, -79050, -79413, -79898?\n\"Answer: -3*a**3 + 2*a**2 - 8*a - 78426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000067404 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 144 = 5*o. Suppose -3*d - 194 = 5*x - x, -x - o = d. Are -50 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10572 - -570929\/54. Calculate the common denominator of a and 91\/3678.\nAnswer: 33102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -711 + 709. Which is the nearest to -2? (a) z (b) 11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 8.9. What is the nearest to 0 in 0.4, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 19. Calculate k(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -d - 166 - 17, 2*d = 5*n - 456. Let t = n + -1079\/12. Which is smaller: t or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5999004*l*u - 6804536*l wrt u.\nAnswer: 5999004*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.000043 - 42. Round s to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*d**4*v**3 - 3*d**4*v**2 - 3882*v**3 wrt d.\nAnswer: 276*d**3*v**3 - 12*d**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + -14 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 - 7*z + 2. Suppose -4*x + 12 = -x. Let u(n) = 5*n**2 + 4*n - 1. Calculate x*p(g) + 7*u(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o - 3*o**2 + 15*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjjihii. Give prob of picking 2 i and 1 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:08 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 - -9) - (1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiqiiiqvvqqiiqvqi. Give prob of picking 2 q.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 6 = -2*q - 2*h, -5*q = 4*h + 12. Let p be q + 1 - (-4 - 11). Suppose 7*d - 4*d + 3*v = 147, -4*v = -p. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5394*g - 5070*g - 10399*g.\nAnswer: -20863*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95 or -42042\/449?\nAnswer: -42042\/449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*x**3 + 2704883*j**2*x - 10*j**2 - 637719*j*x**2 + 250*x**3 wrt j.\nAnswer: 4*x**3 + 5409766*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4495 or -4955?\nAnswer: -4955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 39. Let m be 6\/30*(-5)\/(-2). What is the closest to -1 in m, -4, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3838*p**4 + 2*p**3 + 35*p + 154970.\nAnswer: 15352*p**3 + 6*p**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -9141?\nAnswer: -116\/9141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from zvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92816?\nAnswer: 2, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20 + (1 - -6 - (-7 - -10))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5405131?\nAnswer: 97, 103, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106912.695 rounded to the nearest one thousand?\nAnswer: 3107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526779537 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77349.4 days in seconds?\nAnswer: 6682988160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17272, 34571, 51894, 69241?\n\"Answer: 12*i**2 + 17263*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*1*1692\/(-90))\/(6\/3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m - 24 = 0. Let i = -2 - m. What is the second derivative of -2*t**2 - i*t - t**2 + 0*t - t**2 wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-938 - 1161 + 2010 - 3725)*(0*c - 4*c - c).\nAnswer: 19070*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-60))\/((-9)\/((-1080)\/10)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(20\/7)\/(y*y*y\/((y**(-38)\/y)\/y)))\/(y**(-3)*y)**37 assuming y is positive.\nAnswer: y**(237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 + 2*b - 2. Let h be m(2). Let s = h - 18. Find the common denominator of -49\/5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 3 - 3 + (3 - 4 + 0)*(n**2 + n**2 - n**2) + 65*n - 65*n + 3*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39321, -39228, -39081, -38886, -38649, -38376, -38073, -37746?\n\"Answer: -z**3 + 33*z**2 + z - 39354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -24*l - 113. Let u be n(-6). Sort u, 5, -1\/6, 1\/5 in ascending order.\nAnswer: -1\/6, 1\/5, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - c = 1259 + 6079, 3*c = -3*d + 22020. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 49*y + 192. Calculate the lowest common multiple of q(47) and 14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 83 = 3. Let m = 65 + c. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 0 + 0 + (-2*c + 3 - 3)*(-2*c + 6*c - 3*c) - 11*c + 11*c + 2*c**2 + 1071 - 101*c**2 - 1071 to the form r + v*c**2 + t*c and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Let t = r + -2. Suppose l**3 - l - 3*l**2 + 4*l + 0*l**3 - 4*l**3 + t*l**4 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -3*m**5\/40 + 15*m**4\/16 - 9*m**3\/2 + 81*m**2\/8 - 81*m\/8 + 52. Factor q(x).\nAnswer: -3*(x - 3)**3*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 9. Let m be t(14). Let r = m + -35. What is the third derivative of -7*s**r - 2*s**2 - 6*s**3 - 8*s**3 + 2*s**2 wrt s?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -4*d. Suppose -z + 1948226 = -d*j, 3*j - 4086728 = -2*z - 190231. Suppose z = -a + 148241. Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162 and 3618.\nAnswer: -586116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255538231*p + 22*p**2 + 255538231*p.\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/792971?\nAnswer: -2\/792971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + 12739?\nAnswer: 12727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64001, -256005, -576011, -1024019?\nAnswer: -1600029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -3\/4 (c) -0.197 (d) -10 (e) -6 (f) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y - 96 = -4*u, 4*u + 48 = y. Suppose 2*k = 5*k - y. Suppose 0 = -2*r - 8, 0*h - h - r = -k. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l - 8*l + 9*l**2 + 3*l + 23*l wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 11.2. Let w be (-9)\/144 - 810\/(-160). Let h = -37 + 36.5. What is the fourth smallest value in h, w, -2\/5, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 132069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/19)*(w\/w**(-5)*w)\/w*(w**3)**2 assuming w is positive.\nAnswer: w**(226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17242 divided by -8621\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - b333?\nAnswer: -b347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 644 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b94c7 (base 14) to base 10.\nAnswer: -448231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*q - 45, 3*b + 17 = -5*q + 87. Let h = -121 - -219. Calculate the remainder when h is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172679354 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9384 and 414?\nAnswer: 28152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2079858 plus 2065?\nAnswer: -2077793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oenowni. Give prob of picking 1 i and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*g = 4*c - 16, -4*c = -5*g - 32. Calculate the common denominator of (-1)\/12*(-816)\/(-9) and c\/(-20) + (-894)\/40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 21 = -5*y, 3*y + q - 6 = 0. Suppose y*n + 6 = 3. Let l = 0.2 + 0.3. What is the smallest value in -0.4, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1457833.4 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.05, -1\/7, 0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4768388.\nAnswer: 2, 1192097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.64431 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12427553 is divided by 945.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 5.9. Let x = -85 - -85.1. What is the third smallest value in 1\/7, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2956*k**3*v**3*y + 1624*k**3*v**2 + k**3*y**4 + 3*v**3 wrt y?\nAnswer: 2956*k**3*v**3 + 4*k**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1559785\nAnswer: 6239140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + h**5 + h**5 + (h**2 + 0*h**2 + h**2)*(-h**3 - h**3 + 5*h**3) + 0*h**5 + 0*h**5 - h**5 + (h + 5*h - 4*h)*(2*h**4 - 3*h**4 + 3*h**4).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 147 - 5 - (-24)\/(-4). Let a = 146 - w. Calculate the lowest common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g**2 + 2*g)*(0*g**2 + 0*g**2 - 2*g**3)*(-576 + 947 + 611).\nAnswer: 3928*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4451431, -4451428, -4451425, -4451422?\nAnswer: -4451419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -h + 195 - 33, 3*h - 12 = 0. Solve 0 = 74*z - q*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 2*p**2 + 4*p**2 - 6*p**2. Let g(o) = -o + 2 + 0*o - 2. Give c(g(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 23. Let z be a(-13). Let k = -14 - z. Let q(b) = b**2 + 3*b - 5. Give q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 42*t = -260. Solve 5*a = -5*v - t, -a = 2*v - 1 + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3167\/9 + 352. Let p(s) be the third derivative of 0 + 1\/180*s**5 - g*s**3 - 5*s**2 + 0*s - 1\/72*s**4. Determine w, given that p(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -89*b**2 - 71460. Let k(o) = 3*o + 1. Calculate k(m(s)).\nAnswer: -267*s**2 - 214379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193.000529 + 193. Round c to 5 decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365 = 27*o - 68 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/12 - 5*x**3\/2 - 7*x**2 + 4*x. Is 11 a factor of h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -103.4534 and -0.7.\nAnswer: -104.1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43581 rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1293*n + 1281*n + 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1224*z. Let d(k) = 306*k. Calculate -9*d(v) - 2*l(v).\nAnswer: -306*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 8.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8532069.\nAnswer: 3, 7, 13, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 306960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u + 78 - 78 + (-7 + 2 + 3)*(2*u + 3*u - 6*u))*(-2*u**4 + 3*u**4 + 2*u**4).\nAnswer: 78*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 218*i**2 - 11881*i.\nAnswer: -i*(i + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d. Let w(k) be the third derivative of -k**4\/8 - 4*k**2. What is f(w(h))?\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 15*a - 63 = 0. Solve -6 = -2*t, 2*p + 5*t - a = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-2*(-63052)\/6)\/((-1486)\/(-2229))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1302 + -1299. Solve -2*r + p*o = -17, 4*r + 3*o = 9*r - 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*z - 37 = -4*z, -11 = -5*z - 9*z + 17 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -72*h - 39. Let f be l(-14). Suppose 0 = 25*t - 3894 + f. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 - 5*h**3 + 2*h**3)*(-13*h - 30*h - h) as m*h**4 + i*h**2 + a + o*h + u*h**3 and give m.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21556722809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/17 + 53\/102. Let r = 297 - 302. Let j = 50\/3 + -101\/6. Which is the biggest value? (a) r (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 148 = -388. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*a**2 - 95*a**2 + 72*a**2 + 112*a**2)*(-5 - 4 + 6)*(2*a - 2*a + 2*a).\nAnswer: -1182*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1711093 and 167.\nAnswer: -285752531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17016*u**3 - u + u + 0*u.\nAnswer: 17016*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -101. Suppose 2*s = 3*g - 0*s - 6, 3*g - 5*s = t. Suppose -4*f = -n + 2, 4*n = 2*n - 3*f + 48. Calculate the least common multiple of n and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 10*q - 12. Let o be x(-8). Differentiate 0 - 4*m - o + 1 + 2*m with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238487541.\nAnswer: 3, 47, 1691401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 16}. What is prob of sequence hu?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:34 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309449.\nAnswer: 7, 44207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9418455?\nAnswer: 3, 5, 209299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*(sqrt(65)*-1 + sqrt(65) - sqrt(65)) - (-3*-1*sqrt(65) + sqrt(65)))\/(sqrt(25)\/(sqrt(15)\/sqrt(3)*3)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 250\/8 + 0 - (-5)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f - 3. Let h be l(2). Suppose h*v = 22*v + 9. Suppose -5*s = -2*r, r + 2*s - v = -0*s. Solve 0 = -7*g + 2*g + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111020121 (base 4) in base 14?\nAnswer: -9110d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 2242888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18526973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -373720 (base 11) in base 13?\nAnswer: -178a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 bigger than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - a - 3*b, 5*b = 25. Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 11) in base 3?\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from ikmmiim.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(sqrt(132) + 4*sqrt(132)))\/(sqrt(768) - (sqrt(768) - -2*sqrt(768))) + -3)*-4.\nAnswer: 8 + 25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k + 4*n = 32, 2*k + 3*n - 21 = 0. Factor k - u**2 + 3 + 2*u**2 + u**2 + 8*u.\nAnswer: 2*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.5, 2\/5, -1\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:18 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -3 (c) -0.059 (d) -4 (e) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6676, 14798, 22920, 31042, 39164?\nAnswer: 47286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -22, 0.05, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 832\/2600*(-10)\/(-8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.2. Let m = 489 - 486. Which is the biggest value? (a) m (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 1, k: 1}. What is prob of picking 1 r and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*((h - h + h**2)*(2*h + 0*h - 3*h) + 3*h**3 - 3*h**3 - 2*h**3 - h**3 - h**3 + h**3 - 710*h - 224*h**3 + 710*h).\nAnswer: 456*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26656 - -66401. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -844*k**2 - 7 - 81052*k**4 + 4 + 86*k**5 + 81044*k**4 wrt k?\nAnswer: 5160*k**2 - 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxtqzxqhxtqqhe. Give prob of sequence xtte.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92840405 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + 1375\/35. Calculate the highest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216703 is divided by 8334.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + 2*n**4 - 2*n**4 - 10*n**4 + 2*n**4 + 2*n - n**4 + (6*n**3 - 3*n**3 - n**3)*(-3*n - 2*n + 3*n) + 2*n - 2*n - n**4.\nAnswer: -13*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c + 10. Let f(u) = 9*u + 10. Suppose 0 + 8 = 2*d. Let l(k) = d*t(k) - 5*f(k). Does 11 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*n**4*p**2 - n**4*p - 26*n*p**2 - 6*n*p wrt n?\nAnswer: -2088*n**2*p**2 - 12*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)\/q*q)**(22\/9)\/(q**(-1\/10)*q**(-4\/5)))**(-2\/73) assuming q is positive.\nAnswer: q**(-136\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 111348*u\/5 - 111346\/5.\nAnswer: -2*(u - 55673)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-9 - -5) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.72 + 2196.28. Let f = -2245.44256 + g. Let m = f + 0.44. What is m rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 21*t**2 + 39*t + 12. Let s be f(-23). Round s to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84349823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/546)\/((-5)\/(-20)) + -2?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1932 - 1709. List the prime factors of u.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from ezezzebzez?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 48256.\nAnswer: 48256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) 4 (c) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 9*x**2 - 2*x - 52. Let p be n(-7). Let z be (36\/(-1))\/((-3)\/2). Calculate the highest common divisor of p and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53865 + -27151. Does 100 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s**2 - 12*s - 2. Let g = 171 - 112. Calculate the remainder when g is divided by h(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - b - 13, -55*o + 5*b + 60 = -60*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011 (base 2) to base 4.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*m**5 + 7*m**2 + 2185*m wrt m.\nAnswer: -3260*m**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/3)*c*c\/(c**(-9)\/c)*c**(-2\/25)\/(c*c**(-13)*c))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 79 + j**2 - 220*j - 247*j + 486*j. What is the tens digit of c(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22\/9*y**4 + 352\/9*y**2 + 104\/9*y**3 - 128\/9*y - 2\/3*y**5 + 0 = 0. What is y?\nAnswer: -4, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 14\/21 + 24\/(-27)*-24?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139872537 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636497 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-738)\/29151*(65\/10)\/13?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917753 divided by 9.\nAnswer: -917753\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/620 and -123\/20000.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 3. Let d(q) = -q**3 - 8*q**2 + 9*q + 4. Suppose g - 4*g - 27 = -2*r, 2*g + 18 = 3*r. Let u be d(g). What is k(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/(-5)*(1 + -31). Suppose 9*i + 755 = -775. Let b = i + d. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 8.51. Let d = 8.3 + n. What is the nearest to 0.2 in 0.1, d, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22379143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/7, -23.\nAnswer: -23, -2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, h: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*w - 821, -r + 2*w + 542 = r. Calculate the greatest common divisor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-6*x - 9*x + 0*x)*(-2 + 0 - 7)*(-2 + 2 + x).\nAnswer: -270*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5312928 is divided by 299?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 741.1764 seconds?\nAnswer: 741176400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-107)\/642)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6580 = 360*k - 5125 + 4505 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 46*y + 3773*y - 4 + 2533*y as a*y + v and give a.\nAnswer: 6260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -57, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 3. Let z be s(-2). Suppose -j + 5*m + 36 = 0, 5*j + z*m - 359 + 119 = 0. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 12*-11*7\/(-231).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2080, -3327, -4574?\n\"Answer: -1247*j - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*b - 404, 3*b - 18 = -6. Let r = 197 - t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 1, 2\/7, -0.05, 0.0364?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12368 by -3092.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/120 + b**5\/30 - b**4\/24 + 7*b**3\/6 + 2*b**2. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*v**2*x**2 + 671*l*v**2*x + l - 176*v**2 - 2*v*x**2 wrt l?\nAnswer: -2*v**2*x**2 + 671*v**2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15122744 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.7. Suppose 2*a = -3*a. Put -3, a, t in increasing order.\nAnswer: -3, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -524, -1165, -2052, -3179, -4540, -6129?\n\"Answer: k**3 - 132*k**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-2\/3))*(q\/(q\/(q\/q**(2\/3))))\/q)\/(q**(-1\/5))**(-10\/13))**35 assuming q is positive.\nAnswer: q**(-525\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeisloji. Give prob of picking 1 e and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2467850, -2467879, -2467928, -2467997, -2468086, -2468195, -2468324?\n\"Answer: -10*j**2 + j - 2467841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/4*k**2 - 1\/4*k + 5\/4*k**3 - k**5 + 3\/4*k**4 = 0. What is k?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1811506, -3622930, -5434356, -7245784, -9057214, -10868646?\n\"Answer: -p**2 - 1811421*p - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12713)\/(-1589) - (-19 + 27). Let k = -66743\/7945 + g. Find the common denominator of 6\/2 - (-362)\/(-66) and k.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -377, -477, -585, -707?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(63) + 2.\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -492 * -0.1.\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 + p + 2. Let s be g(2). Let y = s + 4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143 by -2.\nAnswer: 143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -17*d + 515. Let c(m) = -57*m - 3. What is the remainder when c(-2) is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3027891 to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*u + 5 = 0, -34 + 30 = 2*s - 2*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (-2*sqrt(187) - sqrt(187) - sqrt(187))))*3 + sqrt(187)*-2*-1)\/(6*1*sqrt(11) + (sqrt(11) - sqrt(77)\/(sqrt(14)\/sqrt(2)))).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 + 0*y - 6*y + 4*y + 4. Let i(d) = 29*d**2 - 11*d**2 + 0*d**2 + 2*d - 3*d**2 - 3 - 8*d**2. Calculate 4*i(a) + 3*w(a).\nAnswer: 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*x + 130 - 479, 138 = 2*v - 2*x. Suppose -22 + v = 3*u. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.3 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1807631199793 - -40\nAnswer: 1807631199833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6233*f - 6270*f + 12553*f. Let x(y) = 5*y**2. Determine g(x(u)).\nAnswer: 250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.7399um to centimeters.\nAnswer: 0.00817399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -0.09 (c) -2045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-1))\/(2\/(-2)). Let n = -0.747 + 0.247. What is the nearest to 0 in -0.3, n, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, u: 3}. What is prob of picking 3 u?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-235)\/20)\/(3\/(-12)). Suppose w = -3*o - 100. Which is smaller: -51 or o?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 3. Let w be j(4). Let r(x) = -x**3 - x**2 - x + 9. Let v be r(0). Let i be v\/15 - 37\/(-5). Solve w*f - c - 1 = 0, -f + 5*c + i - 27 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 + 9\/2*y**2 + 1\/72*y**4 + 55\/36*y**3 + 240*y. Let w(f) = 0. Calculate f.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19844\/(-27104) + (-10)\/(-16).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(41400\/(-348864) - 1\/(-8))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -17*l + 46*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*p + 1846, -2*p + 3*b + 3058 = 3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 159 = 4*x, 4*r + 111 = 3*x + 2*r. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4*l + 51 = -3*c, -17 = -c + 5*l. Suppose -9 = z - c. Calculate the remainder when 29 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.2 (c) -20 (d) 2 (e) -22944\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 32. Let j = i + 51. Let z = 21 + j. Solve -3*b + 5*t + 9 = 0, z = -0*b - b - 3*t + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4833*k + 31284. Give l(6).\nAnswer: 2286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112 - -1 - (-9426 - -9657)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 20*z - 10. Let b be t(23). Let u = -81 - b. What is the closest to -1 in u, -7, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5141 - 21099 = 411*h + 192*h + 23809 for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 33*m + 434. Calculate t(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/6 - 7*f**4\/6 - 6*f. Find the third derivative of o(g) wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:07 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w - 118 = -4*d, -3*d - 4*w + 76 = 0. Suppose 2*l + t = 3, -l + 4*t = 2*l - d. Solve 5*r + 17 = -4*i, -l*r + 6*i + 11 = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 20 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -11 - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 283, 281, 279?\n\"Answer: -2*x + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 - 16*c + 0 + 7*c**2 + 2 - 95*c**2 - 4.\nAnswer: -74*c**2 - 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-810)\/(-63) - ((-16)\/2520*250 - (-8)\/18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -4263 in decreasing order.\nAnswer: -1, -2, -4263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 13422?\nAnswer: 255018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -74346243 at least as big as -74346245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120480 and 4220.\nAnswer: 25421280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Let i be 44\/8 + 6\/t. Factor 2*b**3 + 1\/4 + 1\/4*b - i*b**2.\nAnswer: (b - 1)*(2*b - 1)*(4*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36699184, 36699186, 36699188, 36699190, 36699192?\n\"Answer: 2*l + 36699182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2822*a**2*c - a**2 - 46*a*c - a - c - 3 wrt a?\nAnswer: 5644*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y - 4. Let u(a) = -12*a - 3. Calculate -3*n(r) + 4*u(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1220, 40, 9, 4, -2, 0, -4 in ascending order.\nAnswer: -4, -2, 0, 4, 9, 40, 1220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 396758*n**2*t**2 - 16120601*n**2*t - 6*t**2 + 4*t wrt t.\nAnswer: 793516*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2408986 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*k - 18 = 0, -5*t + 2*k - 3*k + 18 = 0. Suppose -t*x = -x + 7634. Let v = x + 38139\/10. Calculate the common denominator of 23\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/(-12))\/16)\/(4\/96*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1135 = 1134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19017.\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3888, 7721, 11554, 15387, 19220, 23053?\n\"Answer: 3833*z + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.79 + 0.21. Let c = 125 + -124. Put m, 2, c, 0.4 in increasing order.\nAnswer: 0.4, c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1326817, 1326816, 1326815, 1326814, 1326813?\nAnswer: 1326812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/4 + 5*p + 19. Let x(k) be the first derivative of -2*k**3\/3 - 7. Calculate x(m(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (-773712)\/(-252). Round g to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 13*a - 9341. Calculate y(91).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/((-2)\/6). Suppose 31 = d - v, -6*d = -3*d + v - 109. Suppose -2*k - 5*w - d = 0, -3*k + w + 22 = 32. What is the closest to -2 in k, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 5*t**4 + 2*t**4)*(-5*t + 7*t + 0 - 2).\nAnswer: 6*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 133*f + 172. What is the tens digit of d(39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckjc when four letters picked without replacement from {j: 1, c: 6, n: 8, k: 1}.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:44 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - -7 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1 (c) 0.2 (d) 18\/311 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -3*u + 1\/5*u**3 + 14*u**2 + 1\/175*u**7 - 1\/25*u**5 + 1\/560*u**8 + 0 - 1\/100*u**6 + 1\/40*u**4. Solve y(v) = 0 for v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261985 (base 10) to base 4\nAnswer: 333331201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsssmssssddssdssd. Give prob of sequence dm.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 774037 at most as big as -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41\/57 + -1\/19. Sort -1, y, 0.5 in ascending order.\nAnswer: -1, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(40))\/((sqrt(5) - -2*sqrt(5))*-3) + (-6*sqrt(2)*1 + (-2*sqrt(2) + sqrt(2))*-4)*6.\nAnswer: -104*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**5*k**3 - 133*i**5 - 238*i**2*k**2 - 5*i*k**3 + 2*k**3 wrt i.\nAnswer: -420*i**2*k**3 - 7980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 0.4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -16, -0.5 in decreasing order.\nAnswer: -1\/9, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 10*x - 2. What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902749765?\nAnswer: 5, 257, 702529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1457 - 729 - 614)*(-3*p + 0*p + 4*p) as k + l*p and give l.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from mkcyzcjcyycz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 4*i + 6*w, 0 = 3*i + 68*w - 67*w + 18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258436?\nAnswer: 2, 64609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/8 of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 106 and 0.41587982?\nAnswer: 105.58412018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*-66.699\nAnswer: 3.735144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*u = 18, -4*d + 5*d + 5*u = -15. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkpkkkkkkpkkkkpkkp. Give prob of sequence pppp.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -56*w - 6. Let r(n) = -37*n - 4. Determine -8*r(i) + 5*v(i).\nAnswer: 16*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ab509 (base 12) to base 11.\nAnswer: 915417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 11*t - 2*t**2 + 5*t**2 - 4. Let c be s(7). Let x = c - -50. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:18 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 3*j - 2. Let b(o) = o**3 + 7 - 2*o**3 - o - 8 + 2. Let n = -9 + 6. Determine n*b(y) - f(y).\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528 (base 13) in base 6?\nAnswer: 130532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 29 in increasing order.\nAnswer: -1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89394 and 13254?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 8*g**2 + g - 54*g**2 - 3*g.\nAnswer: -33*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 5776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 20*l - 34. Calculate the remainder when 17 is divided by i(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 566*f + 5030. Give c(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9852 by -18.\nAnswer: 1642\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxd when three letters picked without replacement from {n: 1, x: 1, d: 2, c: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100101011010 (base 2) in base 6?\nAnswer: 151550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9744831ug?\nAnswer: 0.0000000009744831","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(((-16016)\/4056)\/(-154))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:21 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29819 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 5 - 0 - (-4 - 5 - -6). Let x = -30 + 30.2. What is the second biggest value in -4\/3, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*(-4)\/22. Let u = 109\/42 - 2\/21. Let l = 11 + -12. Which is the nearest to l? (a) u (b) g (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w - 1035 = 165*w - 7723 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1742 divided by -42689\nAnswer: -1742\/42689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 4, -111 in increasing order.\nAnswer: -111, -12, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -30. Let o(b) = b**3 - 3*b**2 + b - 1. Calculate o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9905033 is divided by 975.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 h when three letters picked without replacement from {n: 3, m: 1, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 24667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 1, e: 1, b: 1, t: 4}. Give prob of sequence iit.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3)*1 + 10. Let b(c) = c + 9. What are the prime factors of b(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 985\/18 - 109\/2. Let h be 140\/50 - 3\/(-15). Suppose -h*f + 16 = -2*m, -3*f + 11 + 7 = -3*m. Put i, -7\/6, m in ascending order.\nAnswer: m, -7\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = -5 + 80 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 7. Is x(-15) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -200*n + 7. Let w(g) = -g. Let x(r) = o(r) + 6*w(r). Is x(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104607 - -637?\nAnswer: -103750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*v + 575, -z + 5*z = 2*v + 470. What is the remainder when z is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuty when four letters picked without replacement from tsutuuuuuyusuu.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7608102027?\nAnswer: 3, 2536034009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5894, -23569, -53028, -94271, -147298, -212109, -288704?\nAnswer: -377083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 60 - 12 = 0. Suppose -585 = -d*q + 3*q. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + 73*g**2 + 10*g - 27. Let v(n) = n**3 + 26*n**2 + 3*n - 9. Let s(x) = 4*l(x) - 11*v(x). What is s(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(605) + 0)*2 + 5)*4.\nAnswer: 20 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, f: 1, i: 1, s: 2, k: 1}. What is prob of picking 1 k and 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*18\/10)\/((-3)\/(-90)). Let q = 337 - f. Is 40 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 21 = -4*t, 37*t - 36*t + 9 = 4*a. Which is bigger: t or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215246\/101 + -263394533\/121503. Let w = 5\/401 - r. Are 37 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e3 - -e?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, r: 3}. What is prob of picking 1 r and 1 u?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.946811l to millilitres.\nAnswer: 6946.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + 8. Let h(j) = -2*j**2 - 72*j + 68. Let l be h(-37). Suppose 30 = -0*v + 5*v. Let n(f) = -7*f + v*f + 8*f - 7. Determine l*n(w) - 5*p(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2 + 11. Let z(c) = -2*c**2 - 2. Let m(k) = -2*v(k) - 11*z(k). Let a(y) = 3 - 3 - 4*y. Determine a(m(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -120. Let t = 19 - a. Sort 2, -0.03, t in ascending order.\nAnswer: -0.03, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/19)*j)\/(j*j**(-5\/2)))\/(j**(-8\/5)*j\/((j**(2\/27)*j)\/j*j)) assuming j is positive.\nAnswer: j**(31403\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/6 + 3*f. Factor c(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 8*y + 17. What is v(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*1*4) + 1*sqrt(104)*-1)\/((sqrt(800) - (sqrt(800)*-2 + sqrt(800))*1) + sqrt(800)).\nAnswer: -2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.7 and 0.2.\nAnswer: -12.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + 1. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3820)\/((-115)\/15 + 7). Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.1 and 106.39918333.\nAnswer: 109.49918333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyy when three letters picked without replacement from yllyllyllyyyllyl.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1524 - 16114?\nAnswer: -14260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-20))\/(((-4444)\/440)\/101).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65\/4*y**3 + 2345\/4*y - 635\/2*y**2 - 285.\nAnswer: 5*(y - 1)**2*(13*y - 228)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6 = 3*r, 2*h + 2*r = 7*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/42)\/(125\/250).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - -5*(sqrt(128) - sqrt(128)*2)**2) + (sqrt(128) + 3)*-2)*-6 + 0.\nAnswer: -3804 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2498 plus 0.2?\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1510659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 20, 102, 224, 386, 588, 830?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 17*s - 14*s.\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 172.22. Let c = 0.08 + m. Sort c, -1.3, 4\/3, -1.\nAnswer: -1.3, -1, c, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -16588, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 45765446.103.\nAnswer: -45765446.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213718 is divided by 274.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k**(-1\/6))\/(k**5\/(k\/k**(-1\/11)*k*k)) assuming k is positive.\nAnswer: k**(-731\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 8*t. Let u be h(7). Let m be (0 - 7\/(-14))*-18. Is u at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0 - 4*v + 1\/6*v**3 - 3\/2*v**2. What is b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493152 and 23760.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 + 31 = 29*j + 462 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**3 - 92250*v**2 - 141363885*v - 56646405640 = 0.\nAnswer: -16808, -821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let n = -3.5 - -3. Let h be (256\/(-132) + 2)*3. What is the third biggest value in n, h, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - k - 20 = 4*k, 16 = 5*j - 4*k. Let g be j\/(1\/(-3) + (-5)\/3). Solve 3*i + 0*i + 6 = g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 8) to base 10\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 1\/2*y**3 - 6 + 3*y - 9\/4*y**2. Solve k(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 6. Let h be u(3). What is the nearest to 2\/11 in 3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3562, -7334, -11318, -15520, -19946, -24602?\nAnswer: -29494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 1113666 + 167991. Suppose -f = s + 3*q, s + 5*q + 132115 + 57020 = 0. Let o = -77135 - s. What is o rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 17*m + 3*m - 7*m to d*m + z and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582277063?\nAnswer: 167, 3486689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 96. Let u = 95\/4 + -7. Find the common denominator of (1 - 6\/(-3))*v\/(-9) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 + -145. Solve -m*s - 3*w - 12 = 2*s, 5 = 5*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-20)\/(-15))*(-4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1075*k - 61*k - 607*k)*(2*k - 3*k + 2*k).\nAnswer: -1743*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 48. Let v be b(15). Suppose -r + v*r = 0. Let k be 4\/14 + (-178)\/574. Is k equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 927181\/(-76) - 2\/8. What is h rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 51. Let v = -50 + i. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1727*i - 1775617 = -18588*i - 378*i for i.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/196 + (31960\/595 - 54 - 2\/(-7))?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/207)\/(20\/(-3)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1787293, 3574586, 5361879, 7149172, 8936465?\nAnswer: 10723758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyylccly. What is prob of picking 2 c and 1 l?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = 5*w + 39, -459*i + 455*i - 11 = 5*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 9*c + 0 = -3*p - 19*c - 72, -3*p - 4*c - 95 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5 + 26*s - 4 - 27*s + 2*s**2 + s**3. Let y be u(-2). Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllnl. Give prob of picking 1 n and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*b - 13 = l, 2*l + 3 = -5*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 42. Let i be u(12). Is i greater than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32190 - 12496. List the prime factors of v.\nAnswer: 2, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**2 + 0*y + 0 - 1\/2*y**3 + 5\/24*y**4. Let u be i(2). Solve -4*f + u = -3*q, -q + 0*f = 4*f - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 10*j**4 - 47*j**2\/2 + 72*j - 2. Differentiate p(k) with respect to k.\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 26 = -4*r. Let d = 12102 + -193537\/16. Find the common denominator of d and ((-3)\/r)\/(5 - 336\/78).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56930 is divided by 11368.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - 109\/(-2). Suppose -4*m + f = m. Suppose 0 = 6*n - 5*n - 121. Calculate the highest common factor of n and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67 - 2335894.\nAnswer: -2335894.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/2 + 78\/(-6). Sort -40, -5, f in decreasing order.\nAnswer: f, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4979, 56, 8447, 20194, 35297, 53756, 75571?\n\"Answer: 1678*a**2 + a - 6658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0\/g)**(-1\/40)*(g**(-6)*g)\/(g**(-6\/11)*g*g))**(2\/133))**21 assuming g is positive.\nAnswer: g**(-8487\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -179 + 0.000047.\nAnswer: -178.999953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*u = -2766 + 9656 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195a4 (base 16) to base 6.\nAnswer: -2120432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3294 plus 6299.3593?\nAnswer: 3005.3593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2144*k**2 - 2. Let d(v) = 65*v. Give d(s(n)).\nAnswer: -139360*n**2 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27238 is divided by 109?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 + -253. What is the closest to z in 0.1, 2\/233, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 50806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (39 + -80)) + -64?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 8*s - 15. Calculate v(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h = -23*h - 1008. Solve -3*n + h = 9*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 8. Suppose 0*t - 2*t = -28. What is the remainder when y(-6) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0, -3, 1\/63?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 918\/13 (b) -3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 5\/29, -3, -290.\nAnswer: -290, -5, -3, -1\/3, 5\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = 3*k, 13*c - 11*c - 2 = -2*k. Suppose -2*n = 3*u - 7889, 7888 = 2*n + c*u + u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*g = -86, -4*t + 5*g + 185 = t. Suppose 281 + 485 = -49*f + 80. Let j = t + f. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156.1 - 159.1. Let l be (-1 - 0)*(-2)\/(-42). What is the third biggest value in -2\/21, l, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and 1 - (642\/(-24) - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -85. Sort s, -12, 4, -5.\nAnswer: -12, -5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46888 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1211 (b) -2\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 775, 1248, 1733, 2236, 2763, 3320, 3913?\n\"Answer: d**3 + 466*d + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = l. Suppose -l = 2*f, 5*j + 42 = -f + 143. Solve 4 = 5*r + u - 1, 3*r - 3*u = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211851.\nAnswer: 449, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1216 - -2429\/2. Which is the fourth biggest value? (a) 2\/7 (b) 3\/8 (c) 0.1 (d) 1 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a factor of 9430704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/2621 or -1?\nAnswer: 12\/2621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.05, -1\/3, 0.3, 11 in descending order.\nAnswer: 11, 0.3, -0.05, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(252) + sqrt(252))*6*-3.\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927031 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-10) - (0 + 0\/1). Let s = 1672\/9 - 186. Sort s, 3\/5, x.\nAnswer: x, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t + 2*t**3 + 0*t**3 - t**3 - 29 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*x**3 + 324*x**3 - 653*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*r + 428, 2*r = 3*z - 2*r - 321. Find the first derivative of 105 - 3*x**2 - 6*x**2 - z wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1479 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112113010 (base 4) to base 6.\nAnswer: -1544004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 63535 + x - 2*x**2 + x + 63536 - 127*x**3 in the form h*x**3 + k*x**2 + c + r*x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2661\/10 - -265. Let d = 2005 - 40127\/20. Find the common denominator of y and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**4 - 39110*l**3 + 63677502*l**2 - 34438444306*l - 147516568094.\nAnswer: 2*(l - 1631)**3*(4*l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -298525, -1\/2, -4, 0.1 in increasing order.\nAnswer: -298525, -4, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 10. Let l be v(-7). Let r be 2\/(-3) + 23\/l. Let h(y) = y**2 - 4*y - 1. What are the prime factors of h(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010101110 (base 2) to base 12.\nAnswer: -ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 4*y - 7. Let o be i(-5). Suppose -3*j - 8 = -j. Put o, j, 2 in increasing order.\nAnswer: j, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 137\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -136, -549, -1234, -2191?\n\"Answer: -136*m**2 - 5*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-8)\/(-260))\/(126\/(-63))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2755.3412 to the nearest ten.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/5 - 56*y**2\/5 + 924*y\/5 - 864\/5.\nAnswer: -4*(y - 9)*(y - 1)*(y + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 5, 1, 2511 in ascending order.\nAnswer: -5, 1, 2, 4, 5, 2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 3:25 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*s = 124*s - 52. Sort -1, -8, s, -18 in increasing order.\nAnswer: -18, -8, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 996 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*(-22)\/33. Let n be ((-8)\/(-10))\/(t\/10). Calculate the lowest common multiple of 16 and (-66)\/n + (-13)\/52.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 6*r**2 + 4*r - 7. Let k be a(-5). Is 1\/(129\/63 + k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -26. Suppose 0 = -2*d, 4*d + f = -4*o - 17. Is (-43)\/(-4) - o\/20 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1042\nAnswer: -5210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32003321233 (base 4) to base 3.\nAnswer: 20221021020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -513729425.973 and 0.3.\nAnswer: -513729425.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7385 + -7385.5. Let m = -13 - -9. What is the nearest to -1 in 0.01, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.747188 micrometers in centimeters?\nAnswer: 0.0003747188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6598*c - 6596*c + 13193*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -19 - ((-7 - -5) + 13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97.5 - 97. Let z = -4.11 - -0.11. Which is the third smallest value? (a) z (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((539\/5929)\/(56\/(-22)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Suppose -2*n - m*n = 0. Solve 6*b - b = n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmammmvmammaamam. What is prob of picking 2 a and 1 m?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6*r + 9. Let n(i) = -i**3 + 5*i**2 - 2*i - 3. Let p be n(4). Let q be a(p). What is the units digit of 417\/12 + (-3)\/q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (319\/195)\/(-1). Let a = i - -2\/65. Factor -2\/3 + a*h**2 + h - 2*h**3.\nAnswer: -(h - 1)*(2*h - 1)*(3*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -123, -1069, -3637, -8637, -16879, -29173, -46329, -69157?\n\"Answer: -135*n**3 - n**2 + 2*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 7*i**4\/24 - i**3\/3 - 12*i**2. Let s(r) = r. Suppose 180 = -294*n + 249*n. Determine n*s(k) + j(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -404683738556 - -2?\nAnswer: -404683738554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874*c - 1372*c = -2364*c - 3528 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11076, -22159, -33242, -44325, -55408?\nAnswer: -66491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*q**2 + 4\/3 - 2\/3*q**3 - 10\/3*q = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.604 + -3.396. Sort -3, f, -161, -1\/4.\nAnswer: -161, f, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 1 + -32 + 4. Let l = f + 27. Suppose 0 = -2*b + l + 2. Solve -s - 6 = -b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*u*v**6 + 2*u*v**3 + 13*u*v**2 - u*v + 5*v**2 wrt v?\nAnswer: -2040*u*v**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 + 28 = 0. What is the lowest common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18417, 18401, 18395, 18411, 18461, 18557, 18711?\nAnswer: 18935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355 and 5500.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:11 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 230.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -115. Which is the third biggest value? (a) 11 (b) -5 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 137, 147, 169, 209, 273, 367, 497?\n\"Answer: y**3 + 3*y + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 6*j**2 + 2*j**2 - j**3 - j**2 - 1. Let x be l(-3). Let i be 1\/((6\/38)\/((-12)\/x)). Calculate the greatest common factor of i and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, h: 3, m: 1, f: 2, k: 5}. What is prob of sequence fxfm?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5 + 224870*w**4\/3 + 4855606*w**3 - 1676834*w**2 - 9761180*w\/3 = 0.\nAnswer: -65, -2\/3, 0, 1, 37543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(6 + 5 + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k**2 - 549*k + 2482. Let b(y) = -5*y**2 + 184*y - 827. Let o(n) = -7*b(n) - 2*t(n). Solve o(f) = 0 for f.\nAnswer: 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 15\/(-25). What is the tens digit of (-4221)\/(-42)*(1 + s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355702464 is divided by 5047?\nAnswer: 5045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.048.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 3*q - 4. Calculate j(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 48 = 42. Suppose 0 = -5*a, 3*a = -r*h - 2*a + 4. Let q(n) = 33*n**h - 16*n**2 - 15*n**2. Let g(o) = 7*o. What is g(q(m))?\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000342 (base 7) to base 4.\nAnswer: -130301002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 2, u: 2, i: 4, j: 2, l: 3}. What is prob of picking 2 j and 2 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 divided by -5?\nAnswer: -934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 11*r + 80. Suppose -r*c = -7*c - 107. Calculate the remainder when c is divided by -3*((-28)\/3 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1110011?\nAnswer: -1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6 + 341*z + 318*z - 662*z. What is j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030221 (base 5) in base 15?\nAnswer: -530b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 12 - 12.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/40)\/(-7) - 59\/(-5). Let x(l) = -2 + s*l - l**2 - 4 - 6. Give x(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 - 224. What is the closest to 2\/15 in 0.2, d, -4, -0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -152 (c) -0.3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = m + 150, -2*h + 10374 - 10314 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*f + 8 = x, -28 = -5*x + 2*f. Let y(t) = t**2 - 5*t + 5. Let j be y(x). Suppose j = -4*a + 13. What is the highest common factor of a and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose -4 = -4*w - l*w. Suppose 0 = 4*i - w - 3. Which is the second biggest value? (a) -0.3 (b) -3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9894*d**4 - 6*d + 352386 wrt d?\nAnswer: -39576*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - 274 + 272 + 7*g - 3*g**4 to t + r*g + w*g**2 + p*g**3 + d*g**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 25. Is 18 a factor of (-2 - k\/(-2)) + 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + sqrt(175)*1 + sqrt(175) - (sqrt(175) - 6*(sqrt(175) + -1))))**2*-6.\nAnswer: -1287600 + 31500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l*l)\/(l**(-1\/2)\/l))\/((l\/(l\/l**(-1))*l)\/l*l*l*l)**(8\/9) assuming l is positive.\nAnswer: l**(-59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/10)\/f*f**(-11)*(f**(-7))**(-1\/72))**(-1\/48) assuming f is positive.\nAnswer: f**(4393\/17280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-969)\/68 + (-2)\/(-8). Suppose 2*k = -k - 2*v - 22, -5*k - 38 = 3*v. Let n = k - s. Solve i + 3*i = -n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1258 - (7 + 7 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3 + 52517*n**2 - 19759922*n - 19812440 = 0.\nAnswer: -1, 380, 52138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 19*a - 40*a + 21*a - 12 + 10. Calculate v(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -21*q**2 + 0*q + 0 + 1\/3*q**3 - 1\/15*q**5 + 0*q**4. Calculate p(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-252) + (-10)\/(-105)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let x(u) = -5*u. Let c(t) = n(t) - x(t). Let p be c(1). Suppose -2*k - 6 = -p*k. Solve k*w - 6 - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -19*j**4\/24 - 100*j**2. Let k(d) be the first derivative of -d**3\/3 - 1. Calculate k(o(q)).\nAnswer: -361*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - u. Suppose 2*a = -6, u*a + 4 - 7 = 3*v. What is the hundreds digit of 295 - v - (-2 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 9, 562*z - 567*z + 1702 = -4*v. What is the smallest common multiple of z and 494?\nAnswer: 6422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = 0, -u - 3*u + 3*q = -506. Let c = u - 126. Solve z + 0*v + 1 = 3*v, 0 = 2*z - 4*v + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 79362*n**2. Let a(d) = -2*d**2. What is x(a(z))?\nAnswer: 317448*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -782 (b) 2 (c) -4 (d) -3.57 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n. Let v = n - 2. Let s(m) = 5*m**2 - m + 1. Is s(v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -114*k. Let w(c) = -5*c. Give w(u(l)).\nAnswer: 570*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, t: 3, l: 8, q: 1}. What is prob of picking 1 w, 2 t, and 1 l?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/69, -0.1, 5\/44, 2 in decreasing order.\nAnswer: 2, 5\/44, -2\/69, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*h + 66, 6*h - h = 3*i + 123. Let p be 4*(-1)\/(4\/3). Is p\/((-84)\/h + 3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*z - 30, -9871*z + 4934*z - 15 = -2*c - 4944*z for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 + 7. Let q = r - 4.6. What is q rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669963 is divided by 1988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:04 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or -229?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + i = 12*r + 327, -141 = -2*r + 3*i. Suppose 4 + 26 = 5*o. What is the greatest common divisor of r and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 - 17.6. Let s = -14 - g. Sort 2, s, -3\/8 in descending order.\nAnswer: s, 2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151072781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31982280?\nAnswer: 2, 3, 5, 11, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32444481 to the power of 1\/2, to the nearest integer?\nAnswer: 5696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g - 652 = 1630 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49984053 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 15) to base 11\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80308468, -160616935, -240925402?\nAnswer: -321233869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 3 (c) -167011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a meter in millimeters?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let a(j) = -j**2 - 9*j. Let u be a(-9). Let w be (-3 - (0 - u))*-1. What is the biggest value in q, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-540)*86\/3. Let y = 1\/81 + d. Suppose 8\/3*r**2 + 2\/3*r**5 + 0 + 4*r**3 + y*r**4 + 2\/3*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-105)\/25) - 4032\/294\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 695\/15 + -13 - 26. Let z(y) be the third derivative of -y**2 - d*y**3 + 38*y + 2\/15*y**5 + 1\/6*y**4 + 0. Find the first derivative of z(f) wrt f.\nAnswer: 16*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142.72 + 138. Let r = u + -0.28. Let t = r - -4. What is the closest to t in -4, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4355.1*0.086.\nAnswer: -374.5386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81303 and 861.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -236552 (base 8) in base 10?\nAnswer: -81258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -78, -112?\n\"Answer: -34*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from {s: 2, t: 3, v: 3, f: 3, b: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -698*b - 953. Determine t(-2).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 - 79 = 52*k + 87. Solve k - 3\/7*p**2 - 12\/7*p = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25879*t**2 - 132 - 25872*t**2 - 446 to the form p*t**2 + v*t + g and give g.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 = 3*i. Let t(v) = 9*v - 1. Let g(f) = f + 1. Let j(k) = 6*g(k) - t(k). Let r(l) = -1. Let d(z) = -j(z) - 4*r(z). Give d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21022257 (base 8) in base 12?\nAnswer: 15b4493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-52)\/(-117))*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.185 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 4*m)*(-4 + 2 + 4) + (3*m - 5 + 5)*(-3 - 2 + 4) + 14 - 12*m - 14.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (4 + -31)\/(-3). Let h(c) = 53*c - 3. Let a(n) = -18*n + 1. Let t(v) = u*a(v) - 2*h(v). List the prime factors of t(7).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335151013 - -130?\nAnswer: -335150443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x + 88. Determine s(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8249 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 67011 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 348829?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18.3. Let z(h) = -h**3 + 9*h**2 + 10*h + 4. Let d be z(10). Suppose 10 = -d*x - 3*a - 2*a, x - 2*a = 4. What is the closest to 0 in 1, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 7. Let y = a - -3. Let q(o) = -10*o - 8. Let t(g) = g + 1. What is y*q(b) - 8*t(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:17 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -226*d + 91. Let s(i) = -112*i + 42. Calculate -3*p(j) + 7*s(j).\nAnswer: -106*j + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.1. Let u = n - 0.4. Let x = 0.0548 + 0.9452. Which is the closest to x? (a) u (b) 2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 108309986.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171014?\nAnswer: 2, 3, 25747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = g + j, -g - 4*j = -6*g + 709. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odoudouudddudou. Give prob of sequence udud.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 6*w**3 - 5*w**3 + (2*w + 3*w - 7*w)*(0*w**2 - 5*w**2 - 2*w**2) - 3*w**3 - 4*w**3 - 4*w**3 to d*w**3 + b*w**2 + q*w + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = -28. Let b be 3\/(i\/2 - 1). Let z = 0.122 + -0.022. Is z > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + 5. Suppose -16 = -5*k - c*k. What is the tens digit of ((-168)\/(-10))\/(k\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -137? (a) 0.3 (b) -1\/5 (c) -11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**3 + u**2 - 1. Let l be b(1). Suppose -s + 2*d - 50 = -3*s, l*s - 106 = -d. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 33*m**2 + 13*m - 3. Let p(l) = -66*l**2 - 25*l + 5. Let v(w) = -5*k(w) - 3*p(w). Find the second derivative of v(j) wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -m - 35 - 126, -2*m = q - 173. Suppose 139*b - q = 142*b. Let c = b + 63. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62308 and 4.\nAnswer: 62308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 902 (base 13) to base 7\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5)*k)\/k)**(-19)\/(k**1\/k)**(-2\/9)*k\/k**(-3\/8)*k**(5\/2)*k*(k*k**(-1\/3)\/k*k)\/k*k**(-3) assuming k is positive.\nAnswer: k**(-3007\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6602 and -0.08.\nAnswer: 528.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20 and -17\/8865.\nAnswer: 35460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (152913\/(-36))\/(3\/(-2)). Let q = 2829 - g. What is the common denominator of (795\/(-30))\/((4 + -8)*(0 - -1)) and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2409 + 16c8?\nAnswer: 3b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119614943*g + 488648 with respect to g.\nAnswer: 119614943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:42 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -87. Let h be (-5 + 3)*(-2)\/y. Which is smaller: -1\/2 or h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-4) + 18\/24. Solve -v*t = -0*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 35 = 4*q, -4*q + 17 = -3. Suppose -1 - 8 = m*n. Let c(f) = -4 + 5*f**3 - 3*f**3 + 3*f**2 - 3*f**3 - 6*f**2 - 3*f. Give c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h*h*h**(1\/2))\/(h**(1\/4)\/h)**(-13)*(h*h*h*(h**(-1)\/h)\/h*h)**(1\/15)\/(h**2*(h\/h**(2\/9)*h*h)\/h) assuming h is positive.\nAnswer: h**(-1433\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 411*r + 63 + 1255 + 266 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -110*x - 547. Let h be q(-5). Calculate the greatest common factor of 19 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 13*k. Let f(r) = -3*r**2 + 12*r. Determine -3*f(v) + 2*s(v).\nAnswer: v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-3))\/(2\/(-594)). Let t = c - -19819\/10. Calculate the common denominator of t and 14337\/(-2360)*(-55)\/33.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = h - 99. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgitgst. What is prob of sequence tt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, o: 4, p: 2, i: 1}. What is prob of sequence offi?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155275837 a multiple of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-2100)\/24)*40.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**2 + 6*k. Let w(c) be the first derivative of 160*c**3\/3 + 68*c**2 + 39. Let n(s) = 136*u(s) - 6*w(s). Let p(t) = 3*t. Calculate n(p(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 3, u: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48.05785 millilitres?\nAnswer: 0.04805785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50346.\nAnswer: 2, 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560728783477 minus -0.2?\nAnswer: -1560728783476.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19 + 41*t - 20*t - 11 - 14*t + t**3 + t**2. What is i(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3*c**3)\/(c**(-2\/3))**(-1\/15))\/(c\/(c**(6\/5)\/c*c)*c*c**(-7)*c)**26 assuming c is positive.\nAnswer: c**(6352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**5 - 20*c**4 - 58*c**3 - 32*c**2 = 0.\nAnswer: -1, 0, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 80 = -5*o, -2881*p + 16 = -2878*p + o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:19 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 - z - 3. Let f(h) = -3*h**3 - h**2 + 7*h + 8. Let t be f(-1). Let r be l(t). Solve -r*a - s = s - 11, 5*s - 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 7*b - 36. Let g = 1 - b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140100139?\nAnswer: 229, 611791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k = 29*k + 32*k. Solve -2 = -2*l - k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (-42)\/(-120). Let s be 216\/180*((-5)\/(-10))\/1*5. Which is the smallest value? (a) g (b) 3\/5 (c) s (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100000010011111000 + -101000000?\nAnswer: -111100000011000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -11*z - 50, 8756*s + z - 2 = 8758*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2 + 4 + 2*p - 4. Calculate the remainder when h(7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/5396 and -49\/5548437.\nAnswer: 22193748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/96*6*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e4cc (base 16) to base 14.\nAnswer: -d675a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*d - 669*d + 4874 - 47973 = 0 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1021210221 (base 3) to base 12\nAnswer: -1282a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 2*p + 5. Let u(t) = -6*t**2 + 4*t + 11. Determine 3*u(f) - 7*x(f).\nAnswer: 3*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 0 + 4*y + 2 - 21*y - y. Suppose 5*v + 10 = -0*v. Calculate the remainder when k(v) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*q + a, 0 = -4*q - 0*q - 3*a. Suppose -q*s + 8*s + 40 = 0. Let m = s + 11. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:45 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/5, 0.1, 1\/29, -4, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 237 - 232 - 229 - 215 + 22*x + 913.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9 = -f + 3, 0 = -5*f - w + 104. List the prime factors of (-2)\/(-4)*f\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 2*n - 3*n**3 + 4*n**3 + 5*n**3.\nAnswer: 6*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979206, 1958455, 2937704, 3916953, 4896202?\nAnswer: 5875451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/9 - 52*q**2\/9 - 142*q\/9 - 92\/9.\nAnswer: -2*(q + 1)*(q + 2)*(q + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18781 and 2653.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 15. What is v(-7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33665 at most -33663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/317905 and -83\/6358100.\nAnswer: 6358100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (22 + -76 + 22 - (-8 - 1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4198\/902055 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 29489135906+2\nAnswer: 29489135908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*g + 66, -4*g = -1 - 3. Find the second derivative of 297*h**2 + 24*h**3 + l*h - 595*h**2 + 298*h**2 wrt h.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgrggbddddddgdbbgb. What is prob of sequence ddgr?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291070 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1913000.21 to the nearest 10000.\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 10. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46697813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 153 + 49 = s, 5*p = -2*s + 404. Let y = s + -121. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/(1 - 12). Let d = 7 + -3. What is the biggest value in 0.3, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 7*n**2 - 2*n + 8. Let s be c(4). Calculate the common denominator of (49\/s - -1)\/(48\/14304) and -11\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -160*i. Let f(n) = -n**2 - 51*n. Give f(y(q)).\nAnswer: -25600*q**2 + 8160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**2 + 655*u + 6396. Let i(v) = 29*v**2 - 1960*v - 19191. Let j(b) = -7*f(b) - 2*i(b). Solve j(l) = 0 for l.\nAnswer: -9, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1344 + 1353. Let b(q) = -q**3 + 8*q**2 + 9*q - 2. Determine b(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 72*n**3 - 300*n**2 - 6832*n + 7056 = 0 for n.\nAnswer: -14, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76580515, 76580514, 76580513, 76580512, 76580511?\n\"Answer: -l + 76580516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/6 - c. Let j be z(1). Let s be 28\/(-6) + j\/3. Let r(x) = -2*x - 4. Determine r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.0334 - 47. Round m to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/9, -1 in decreasing order.\nAnswer: -0.1, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/3)\/y)**(1\/18)*y*y**(-7)*y**(-25) assuming y is positive.\nAnswer: y**(-1675\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-2 - -4) + 15. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804 + 2332 - 741 - 787 + 18*v**3.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 24 - 138. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610751.5l to millilitres.\nAnswer: 610751500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 8, h: 2, c: 1, r: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 17*w + 7*w + 2)*(2 + w - 2) to the form a*w + q + v*w**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1795.1179572553 and -0.36.\nAnswer: -1795.4779572553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 259*c**3 - c**2 + 1. Suppose 0 = -6*r - 3*n - 130 + 295, -3*r + 86 = 2*n. What is the remainder when k(1) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -8*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1497*w - 16. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/66 and -113\/920?\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775.3506 - -0.64?\nAnswer: -1774.7106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5268 - -5377.448?\nAnswer: 109.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55611200 rounded to the nearest one hundred thousand?\nAnswer: 55600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1 + 0*y**3 + 4*y**2 + y + y**3 + 0*y. Let z be m(-3). Suppose c - 4*a = 30, -5*c - z*a + 10 + 15 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o - 1. Let w(z) be the first derivative of -5*z**4\/4 - 5*z**3\/3 - 5*z**2\/2 + 5*z - 137. What is -5*h(q) - w(q)?\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21011120102 (base 3) to base 6\nAnswer: -3005145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41342417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2 - 5*f. Let d = -13 + 9. Let p be r(d). Let j(z) = -z**2 + 4*z - 2. Calculate j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*v - 11393340 = -83*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 22 = 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r + 14. Let b(v) = 1. Let d(w) = -6*b(w) - i(w). What is the tens digit of d(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19408, -38407, -57406?\n\"Answer: -18999*f - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 21. Let c = x + -7. Suppose v - 3 = -4*v + 4*u, -v - 3 = u. Put c, 5, v in decreasing order.\nAnswer: 5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*q + r, -2*q - 5*r + 23 = -0*q. Solve -q*c = 3*y - 9, -3*c + 4 = -y - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -3 - (-3 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16849708 by 4.\nAnswer: -4212427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 76*r**3 - 10*r**2 + 19. Let t(u) = -63*u**3 + 10*u**2 - 18. Determine 5*k(m) + 6*t(m).\nAnswer: 2*m**3 + 10*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1734.901696282 from 0.642.\nAnswer: -1734.259696282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425638 is divided by 1391?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = 2*b. Let d be 3\/b - (-2)\/6. What is the units digit of -1 + d - (-55)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 3, -2, -77, -72, 5.\nAnswer: -77, -72, -12, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 1, i: 8}. What is prob of picking 4 i?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2 - p - 11. Let f be l(0). Let m = f + 20. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 333*g**2 - 4*g. Let p(k) = -331*k**2 + 3*k. Give -3*c(a) - 4*p(a).\nAnswer: 325*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**13)**(-3\/26))**(3\/38) assuming q is positive.\nAnswer: q**(-9\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (738\/30)\/((-30)\/10*(-36)\/30)?\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from lqbbbqllbllllb?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7 = -1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + 17. Let d = 149 + -129. Suppose -a = -2*m + d, 2*m + 0*m - 20 = 3*a. Calculate the highest common divisor of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y - 10. Calculate j(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**3 - 6*x**2 + 6*x - 4. Calculate f(2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(-33 + -20))\/(4\/(-13))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 7*z - 6*z - 3, 0*c + 4*z + 22 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 21, -102, 3, -8 in decreasing order.\nAnswer: 21, 3, -8, -57, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*u**5 + 0 + 76\/5*u**2 + 0*u - 91\/5*u**3 + 14\/5*u**4 = 0. What is u?\nAnswer: -19, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j + 6. Let o = -2 + 1. Let s = 140096 + -140096. Which is the closest to o? (a) -1 (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Let h be q(6). Let l be h\/(-18) + (-14)\/(-3). What is the common denominator of (-1)\/2 + 13\/l and 85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 2*c - 18, -343*c = 4*a - 338*c + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**3*u - 15*i**3 + 1658*i**2*u - 41*i**2 + 125308*i*u - 68*u wrt i.\nAnswer: 42*i*u - 90*i + 3316*u - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f)*(-f**2 + 2*f**2 - 3*f**2)*(4 - 5*f + 3 + 4*f).\nAnswer: 2*f**4 - 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/144 and 81\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g + 2. Let w(c) = 5. Let s(u) = -u - 6 + 8 + 12. Let z(i) = g*w(i) - 3*s(i). Differentiate z(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkkprz. Give prob of sequence kkz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -5, -1, -2\/11, 0.1 in decreasing order.\nAnswer: 0.1, -2\/11, -1, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 87 = 4*g, -70*g + 5036 = 5*o + 6311 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 363 divided by -1\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**8\/20160 + l**5\/60 - l**2. Let s(i) be the third derivative of h(i). Let u(f) = 3 - 12*f - 3 + 13*f. Give u(s(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8004\/(-1305) - (-36)\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*z - 26, 2*c = -2*z + 4*c + 34. What is the smallest common multiple of z and 24\/(-84) + 1270\/35?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -273, -2922, -7769, -14814?\n\"Answer: -1099*h**2 + 648*h + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10568 divided by -2642.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/15 - y**4\/3 - 4*y**3\/3 + 18*y**2. Calculate the remainder when 93 is divided by w(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (3*sqrt(1331) + sqrt(1331) - sqrt(1331)))**2*-5 - 1*((-1*sqrt(1331) - sqrt(1331))**2 + 5))*-1.\nAnswer: 1650*sqrt(11) + 65349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 - 3*h**2)*(-6 - 2 + 2) + (3*h - h - h)*(-13*h + 42*h - 13*h).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -63*s. Let l(g) = 3*g**2. Let w(o) be the first derivative of -o**3\/3 + 66. Let n(m) = 3*l(m) + 8*w(m). Calculate y(n(i)).\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 3, -30, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0 + 34\/3*u**2 - 104\/9*u = 0.\nAnswer: 0, 52\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3077*r - 177468 = 6935*r for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 24. Let q be f(-5). Suppose -q*b - 334195 = 479805. Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((150\/7)\/((-90)\/(-1050)))\/(236 - 238).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 27. Give y(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u. Let r(g) = 4*g + 9. Determine n(r(v)).\nAnswer: 16*v**2 + 76*v + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 48. Suppose -k*h = -32*h - 19132. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) -3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100533523 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 2*a - 9 = 0. Let o be 0 - (-52)\/96 - (-4)\/(-6). Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7811, 15312, 22813, 30314, 37815, 45316?\nAnswer: 52817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 123?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 8120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 2, j: 3, l: 2}. Give prob of picking 1 l and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 2*x**3 - 6*x**3 + 3*x + 7*x**3 - 4*x**2. Let q be h(2). Let f = 100 - q. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -33617.\nAnswer: -3\/33617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 256414133 (base 7) in base 4?\nAnswer: 332221311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*g*i**3*o + 509*g*i**3 + 30*g*i + g - 6*i**2*o + 24*i**2 wrt i?\nAnswer: -78*g*o + 3054*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689659?\nAnswer: 1689659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:24 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 484995463 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22148634, 44297279, 66445928, 88594581, 110743238, 132891899, 155040564?\n\"Answer: 2*o**2 + 22148639*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4\/2 - 93*h**3 + 1641*h**2\/2 - 1356*h + 630 = 0.\nAnswer: -70, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/68 and -85\/1184576.\nAnswer: 20137792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3\/3 + 1305. Let p(g) = -g**2 + 387. Calculate j(p(o)).\nAnswer: 2*o**4 - 1548*o**2 + 299538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2096*w - 310289 = -2103*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3525*a - 10926 - 1636 = 40313 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + 3*m**3\/2 + 2*m**2.\nAnswer: -m**2*(m - 4)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/12 + s**2 + 42. Let j(g) = -54*g. Give j(a(v)).\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*p - 33, 3*y - y - 3*p = -22. Suppose 13*d + 817 = -223. Let m be (-5)\/(-2)*128\/d. Sort y, m, 5.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 6\/(-4) - 219\/(-2920)*-20. Is 16\/939 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*w = 4, 3*i - 4*w - 32 = -i. Suppose -i*l + 8 = -5*l + b, 0 = 3*b - 15. Sort l, 1, 3, 0 in ascending order.\nAnswer: l, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361933.\nAnswer: 11, 13, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3\/26 (c) -0.3 (d) -80\/93 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 53?\nAnswer: 36\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**13*c*c*c\/(c\/(c**16*c))*(c*c*c**(-1\/4)*c)**19 assuming c is positive.\nAnswer: c**(337\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 5 - 16\/(-2). Find the common denominator of (b\/(-35))\/((-4)\/413) and -37\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1100 divide 1102905100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jieejjjei. Give prob of sequence eie.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10999932 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 19*t + 15. Let q be k(10). Let f be (-153)\/(-45) + (-2)\/q. Solve f*d - 7*d = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20401 + 3*p + p + 20401 - 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -40*d - 44. Let v(n) = n + 1. Let g(x) = 2*m(x) + 88*v(x). Let c be g(4). Suppose 2*a - c = -0*a + 3*q, 3*q + 19 = a. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*n + 4*d = -4, -3*d + 10 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w*w*w**(-1\/10))\/(w*w**1)**(-1\/52) assuming w is positive.\nAnswer: w**(126\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 + 10*g - 9579 = 0 for g.\nAnswer: -103, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43155.09 and 0.5.\nAnswer: 21577.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 4, -8, -4, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - s + 108, -3*f + 36 = -f - 2*s. Suppose -5*w - 2*w = -f. Suppose 4*r = -u - 5 + 18, -u + 1 = r. Sort w, r, 0.\nAnswer: 0, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172520 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7626*z - 30465. Give g(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 81. Suppose 25*f - v*f + 37100 = 0. Round f to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 9*i + 8. Let v be f(6). Let q = v + 12. Let s(g) = g**2 + 4*g + 6. Let r be s(-4). Solve -8 = -r*u + q*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*l + 66. Let m be (-4)\/(-9) + 8\/l. Which is the fourth smallest value? (a) -4 (b) m (c) -1.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5469.172ml?\nAnswer: 5.469172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 617 + -1265. Let t = h - -648. Solve -17 = 3*c + 5*x - 5, t = -5*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:07 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 35 = 4*u, u + u = -2*x + 20. Suppose -u*j = -10*j + 225. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + i**2 + 0*i**2)*(0 + 1 - 2) - 7*i**2 + 0*i**2 + 0*i**2 - 4*i**2 + i**2 + 5*i**2 + (2*i - i - 2*i)*(-2*i + i + 2*i) + 3 - 3 + 2*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1468 + 1470. Solve -5*c - 4*m + 8 = 0, -7*c + x*c = -2*m - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81885.25 - 440108.\nAnswer: -521993.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(864) - sqrt(864) - sqrt(864)) + sqrt(6))*-6)\/((3*2*sqrt(6))\/sqrt(2)).\nAnswer: 59*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -63*p**3 + 2*p**2 - 2*p - 3. Let h be q(-1). Suppose 0 = 2*r - 882 + h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:06 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 170, 5, -1, 15, 177, -4.\nAnswer: -4, -3, -1, 5, 15, 170, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34810149 rounded to the nearest one hundred thousand?\nAnswer: 34800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60 + 1735)\/((-2)\/(-2)).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1256*c + 1343*c - 2610 = 0 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (0 + 3)) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*f = -0*s + 8, 0 = -3*s - 2*f - 6. Let q be (-1)\/((s + 3)\/5). Find h such that 2*h**2 + 0 + 9\/2*h**q - 3*h**4 - 11\/2*h**3 + 2*h = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (sqrt(304) + 5 + 2*sqrt(304) + -2*sqrt(304)*5 - ((sqrt(304) + 2 + sqrt(304) + -1 + sqrt(304) + sqrt(304) - sqrt(304)) + -2)))**2.\nAnswer: -152005 + 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 642.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 722685\/28 - 25813. Let h be ((-9)\/(-3))\/(3\/(-3)). Calculate the common denominator of h\/((-36)\/77) + -3 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2599.5 + -1820. Let u = o - 158. Round u to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28 - 0.22. Let z = -194.98 + 193. Let s = 0.02 - z. Which is the smallest value? (a) -0.2 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 + 147\/28 - -11. Suppose 4*q - 55 = x + 2*x, 0 = -4*q + 2*x + 58. What is the highest common factor of m and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3998 + -3401. Which is the biggest value? (a) 0 (b) 0.1 (c) 3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731764 to the power of 1\/2, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456 and 292.\nAnswer: 33288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*r + 1215*r + p + 3 = 0, -3*r + 3*p = -9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.09, -87, 2\/13, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79150481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {v: 2, q: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*o**2*q + 118*o**2 wrt q.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -34*i**2. Suppose -5*s + 245 = -215. Suppose -s*z - 66 = -93*z. Let t(f) = 30*f - z*f + 34*f. Calculate g(t(v)).\nAnswer: -136*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*a - 7 = 125*a, 0 = 5*q + 4*a - 5158. Calculate the remainder when q is divided by 335.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -53) + (1 - 4). Calculate the greatest common divisor of 33 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 27*u - 3. What is the units digit of v(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0454 - -0.5554. Which is smaller: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-85)\/(-40) - (-6)\/8. Suppose -42746 = -6*t + q*t. Let v = -15746 + t. Round v to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 6)*4\/18?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4391746 and 816.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 666848 to the power of 1\/2, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is the nearest to 3 in 2, -1, 0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 16 + -1 - -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 75*a**2 - 44*a - 156. Let i be z(-38). Solve -67*t = -i*t - 35 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109764230 to the power of 1\/2, to the nearest integer?\nAnswer: 10477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12 + 3*s - 6*s - 3*s - 6. Give i(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d*f*n*s**3 + 8*d*f*n*s**2 + d*f*s**3 - d*f*s - 2*d*s**2 - f*n*s**3 + 2*f*n*s**2 - 2*s**3 wrt s?\nAnswer: -36*d*f*n + 6*d*f - 6*f*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/(((m**(-3\/11)\/m)\/m)\/m))\/(m\/(m*m\/(m\/(m\/m**(2\/15))))*(m*(m\/(m\/(m*m*m\/(m*m**(3\/17))))*m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(34546\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1200\/1500)\/(3\/(-10))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 24. Let k be i(-5). Let o(s) = -11*s + 15. Let q(w) = -5*w + 7. Let h(t) = 2*o(t) - 5*q(t). Let j be h(k). Solve -22 + j = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -5*l**3\/6 + l**2\/2 - l. What is the tens digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -17*d + 600. Suppose 4*t - 20 = -2*k + 2*t, -4*k = t - d. Suppose -4*n - f - 4 = 0, 2*n - 6*n + 5*f + 20 = 0. Sort k, -2, n in descending order.\nAnswer: k, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 21*b**3 + 14*b**2 + 62 + 3*b + 2*b - b.\nAnswer: -21*b**3 + 4*b + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1364 and -27\/248.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 9. Let q be 2\/(-6)*(-18)\/3. Suppose 4*f + 5*k = -37 + 12, 10 = q*f - 2*k. Solve 4*r + u*i + 4 = f, -5*r - 4*i = 8 - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 + 16*p**3 + 25*p**3 + 62*p.\nAnswer: 57*p**3 + 62*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 13760 = 40*i - 76*i. Calculate the remainder when i is divided by 70.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/23 - 666*t\/23 - 664\/23.\nAnswer: -2*(t + 1)*(t + 332)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1358 at least -2.929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*w - 4*x - 36, -29 = -5*w + x. Let v = w + 0. Solve -4*i + 7 = -v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 39. Let b = -0.37 - -0.07. What is the second biggest value in 3, b, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5)\/((-3)\/(-30)). Sort 3, -0.5, j in decreasing order.\nAnswer: j, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-175))\/((-64)\/800)*2*3\/(-35)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7872 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621272?\nAnswer: 2, 77659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxzxxwxtxw. What is prob of sequence xw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3360 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n + 6. Let a be (n\/(-2))\/(3\/4). Suppose 0 = -u - 2*b - 10, a = 5*u - 0*b - 3*b. What is the third biggest value in 0, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkg when three letters picked without replacement from {i: 2, r: 2, g: 4, w: 1, k: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*r - 15 = 0, -4*r + 3 = -h - 7. Let m be 0 - h - (11 + -27). Let l = m - 0. Solve -2*j + 36 = 4*a + l, -11 = -5*j + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 126*i**2 - 127*i - 226. What is x(-62)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -35, 2, -2, 8, 13, -18 in ascending order.\nAnswer: -35, -18, -3, -2, 2, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.7 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -185082724 to the nearest 10000.\nAnswer: -185080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.16074 millilitres in litres?\nAnswer: 0.07316074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-18)\/(y*y*y**(-35)))\/(y**(-37)*y**(-9\/11)))**(-14) assuming y is positive.\nAnswer: y**(-8134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -39.9. Let x = 1.1 + -0.7. What is the closest to w in -5, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -109 and 0.3.\nAnswer: -108.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 14*b - 2. Let r(q) = -3*q**2 + 21*q + 3. Let h(n) = 2*r(n) + 3*z(n). Let g(o) = -5*o**2 - 12*o**2 + 0*o**2. Determine h(g(s)).\nAnswer: 867*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w + 0 + 152 = 0. Does 15 divide 136 + w*63\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u. Let w(l) = 2*l. Let s(p) = 3*p. Let y(a) = 3*s(a) - 6*w(a). What is f(y(i))?\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325343\/31 - (-10)\/(-155) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:40 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(162) + (4*sqrt(162) - sqrt(162)))**2 - sqrt(162)) + 3 + sqrt(200) + 5 + -5.\nAnswer: sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -130636534?\nAnswer: 130636530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5462 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: Simplify ((s\/((s**(-1\/4)*s)\/s))\/(s*(s\/(s\/(s*s**(1\/7))))\/s))\/(s\/(s\/((s*s**(-3)\/s)\/s))*(s*s**(-7))\/s)*((s**0\/s*s*s)**17)**(-20\/3) assuming s is positive.\nAnswer: s**(-8587\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -5, -4, -3?\n\"Answer: b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 17*f + 0*f)*(-406 - 408 + 186) to s*f + k and give s.\nAnswer: -11304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 4:26 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2 + -1)*51\/(-17). Suppose -269 = -y*i + 2*h, 5*i - h - 236 = 217. Suppose 0 = -11*w + 311 - i. Solve 3*b - w = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(60\/8))\/((-78)\/(-30))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-12))\/((-3621)\/(-54315)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4 = -647*j + 649*j, -5*j + u - 11*u + 25 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b + 5. Let r(g) = -2*g**3 - 3*g - 9. Let t(q) = -7*m(q) - 4*r(q). Let z(u) = -6*u + 2*u**3 - 3*u**3 + 1 - 2 - u**3. What is -6*t(v) - 5*z(v)?\nAnswer: 4*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590000 rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916*g - 920*g + 576 = -1833*g. Solve 12*u + g = -20*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*(637\/112)\/13.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/870 and -77\/116?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 107*y**3 - 104*y**3 + 71*y**3 - 2*y**2 + 2*y**2 - 2*y**3 + (0*y - 2*y + 3*y)*(-2*y**2 + 0*y**2 + 4*y**2) + y**3 - 2*y**3 + 0*y**3.\nAnswer: 73*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*s + 4*s + 15, -21 = 3*s + 3*k. Which is the third biggest value? (a) s (b) -0.3 (c) -2\/5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 - (-6 + 1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3 + 3 + (-2*l**2 + 0*l**2 + l**2)*(3 + 0 - 1))*(-2*l + 4*l - l)*(-13*l + 2*l + 0*l).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365*m**4 + 3*m + 68 wrt m.\nAnswer: 4380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 2559*y**2 + 544425*y - 546987 = 0. Calculate y.\nAnswer: -427, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102729 + 33891 = 2*k + 2*b, b = 6. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 2*n**2 - n. Let m be s(-2). Solve -1 = -j + m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 + 106. Let l be ((-2740)\/15)\/f - 2\/(-3). Suppose -l*s + 91*s = 2290000. What is s rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 76, 46, -2, -3, -114 in decreasing order.\nAnswer: 76, 46, 3, -2, -3, -5, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 745213931 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -16. Let p = -16.8 + a. What is the closest to 0 in 4\/5, p, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14703, -29405, -44109, -58815?\nAnswer: -73523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g + 3 + 2*g**4 + 12*g**2 + 4*g**3 - 14*g**2 - 11*g**2. Let s(v) = v**2 + v - 1. Let k(r) = 2*c(r) + 6*s(r). What is w in k(w) = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 15\/6)*-2. Let o be (-1406998)\/c - 6\/21. Round o to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n + 4024 = 528 - 865 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - 9. Let v = -48 - f. Let b = 2 + -2. What is the second smallest value in -1, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - (2 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8. Let u(y) = -y - 23. Let w be 17\/((-3)\/(4 - 1)). Determine w*j(d) + 6*u(d).\nAnswer: -6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 11*o - 9. Let u be w(-11). Does 2\/7 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9013, -9012, -9011, -9010, -9009, -9008?\nAnswer: -9007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28481028 is divided by 7120246?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**3 + 9*p**2 - 63*p - 21. Is t(15) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*z**3 - z**2 + 44?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2276 and -109\/24.\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 + (10 - (-6 + 0))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16 and -9051.56.\nAnswer: -9051.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 90.105\nAnswer: 91.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 1 + 0*o - o)*(30*o + 12*o - o)*((o + 4 - 4)*(-2 + 2*o + 2) - 4*o + o**2 + 4*o).\nAnswer: -123*o**4 - 123*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -221 and 1.8?\nAnswer: -397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41696.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/((-190570)\/22686) - 1\/((-1)\/(-7))\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 17. Suppose 0 = -z*y + 14*y - 1080. Let m = -142 + y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361497614 less than -1?\nAnswer: 361497613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 87*y - 178. What is the hundreds digit of m(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, q: 1, k: 2, j: 1}. Give prob of sequence kq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*c*j**3 + 3122*c*j*s - 2690*c*j - 5506*j**3 + 3*j**2*s + j**2 - 2*j*s wrt j.\nAnswer: -198*c*j - 33036*j + 6*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 9 - 2*w**2 + w**2 + 4*w**2 - 3*w.\nAnswer: 3*(w + 1)*(2*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85903 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 39*h + 1365. Let u be b(-35). Which is bigger: 2\/511 or u?\nAnswer: 2\/511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4136)\/(-517) - 5*4\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.51, -5, -98, -1132, 0.2 in descending order.\nAnswer: 0.51, 0.2, -5, -98, -1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*i + 3*q - 130, 0 = -2*i + 5*q + 31. Suppose -3*c + 27 = -3*h, -4*h + 3*c = i + 12. Suppose 2*n = -17 + 5. Are n and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*a**2 + 13*a + a**3 - 134*a**2 in the form r*a**2 + i*a + c + l*a**3 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63\/4 + 31\/2. Let o = -19 - -37. Let s = o - 17.5. What is the closest to 0 in 1, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*j**2 + 91\/2 - 93\/4*j.\nAnswer: (j - 91)*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 2*i - 3*i)*(-5*i - 2*i + 5*i) - 2*i**2 + 0*i + 0*i to the form o*i**2 + f*i + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88220 and 5196960.\nAnswer: 57166560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 49205*t**2 + 122928760*t - 9176060740.\nAnswer: 5*(t - 4882)**2*(t - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/12*2*-97 is divided by ((-11)\/5)\/((-53)\/265).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 15147207.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*j + j + 4*j + 41 - 70 + 28.\nAnswer: 3*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 156 = 4*g, -3*k - 2*g + 94 = -144. What is the least common multiple of k and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let q be 0 - -2 - 36\/(-12). Let m(f) = -5*f. Let w(l) = 8*l. Let k(s) = q*w(s) + 7*m(s). What is k(i(v))?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3927 + 5567. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*a**3 + 197*a**2 + 203*a**2 - 622*a**3 - 400*a**2.\nAnswer: -435*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1213 and 7285\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286 - 282. Suppose 4*r - 8 = -2*c, -2*c + 1 = -r - 2. Suppose 2*b + 2*d = -14, o*d + c = 3*d. Let g(s) = s**2 + 7*s + 3. What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 892?\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/14850 and 113\/207350.\nAnswer: 5598450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-5))\/(-15)*(-1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 3*u. Let m(y) = -288*y**2 + 9*y + 129. Let n(s) = -3*k(s) - m(s). Find the first derivative of n(g) wrt g.\nAnswer: 582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9243 + 11675?\nAnswer: 20918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24 + 38\/24.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5337*s - 5385*s - 768 = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4121 times 330?\nAnswer: 465.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.037?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, -1, -1\/4175?\nAnswer: -1\/4175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.019.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -23*y + 28*y - 947, -5*p = 4*y - 728. Differentiate -62 + y + 68*o + 21 with respect to o.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 8b46?\nAnswer: -8b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Suppose 2*o + 3 = -c + h, 5*o + 10 = 5*c. Suppose z = 3*r - 6, 2*z + 4 + o = -2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580120 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164371 - 1942*c - 1635*c + 3324*c + 1164371.\nAnswer: -253*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1040 + -1035. Solve 22*j = v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*b - 2651 + 154, -6 = -3*u. Calculate the remainder when b is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**7\/1995 + x**6\/57 + 33*x**5\/190 - 5*x**4\/57 - 100*x**3\/57 - x**2 + 52. What is i in l(i) = 0?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25850 by -55.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 209 - 759 = 0. Suppose 52 = 4*x - r. What is the highest common factor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 3 - 13 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5813.6? (a) -4 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 3*l**2 - 5*l - 3. Let b be -2 + 77\/(-4) - (-19)\/((-1064)\/42). Let v(d) = -4*d**3 - 11*d**2 - 19*d - 11. Give b*f(t) + 6*v(t).\nAnswer: -2*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12955.153 to zero dps.\nAnswer: 12955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -396*v**5\/5 + 85*v + 154. What is the derivative of l(x) wrt x?\nAnswer: -1584*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-185 + 191 - ((-9 - -1) + 2))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14126 + 24034. List the prime factors of r.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008970409 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0197030562 - 0.2.\nAnswer: -0.1802969438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((165\/(-44))\/(6\/(-4)))\/(860*6\/96)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 176*s + 30*s**2 + 347*s - 159*s to the form a*s**2 + z + q*s + p*s**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (106\/(-22) - 1))*(-22)\/8. Let d(p) be the second derivative of -t*p**2 - p**3 + 0 - 27*p. Calculate d(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-7)*((p**5\/p)\/p*p)\/p)\/((p*(p*(p\/(p**(-4\/7)*p))\/p)\/p*p)\/p*p**(-7)))**(4\/3))**(10\/13) assuming p is positive.\nAnswer: p**(680\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4 and (-40)\/(-96)*(-139)\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -22.6. Let l = -1170.6 + 1166.6. Which is the third smallest value? (a) -0.26 (b) l (c) 2\/7 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 815 + -760.1. Let i = r + -55. Let g = -56.3 - -56. Sort g, 3, i, 0.\nAnswer: g, i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 7 + (-5 - -2). Solve -15 = -v*h - 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 130*o**2 + 65*o + 373. Does 10 divide y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 18, 29, 36, 33, 14, -27?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*y + 116*y + 2*z = -110, 37 = 2*y + 5*z. List the prime factors of y\/(-39)*6141\/(-2).\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**3 + 2*o**2 - o - 2. Determine r(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Let t(w) = -18*w**2 + m*w**2 + 12*w**2 - 6*w. Calculate t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d4099 (base 14) to base 2.\nAnswer: 1110010000011101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 205 = 4*a - 59, 2*z + 264 = -a. Let w = z - -204. What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -20. Let t be ((-5)\/2)\/5*i. Suppose 0 = t*z - 6 - 2. Solve 4 + 4 = z*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 7 - 1\/20*s**5 - 1\/8*s**4 + 1\/4*s**2 + 1\/12*s**3 + 0*s. Suppose h(u) = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408 - 5*d**3 + 408 + 13*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021 + 2?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.3515 * -11\nAnswer: 47.8665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 0) + 0 - 4) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -37, -78, -135, -208, -297?\n\"Answer: -8*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 199*w**6\/120 + w**5\/12 + w**4\/8 - 2*w**2 + 165*w. Find the third derivative of i(r) wrt r.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433 a factor of 47231374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 4. Let v be b(6). Let j(a) = -3*a**2 + a + a**2 - 6 + a**v + 0. Calculate j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(228) - sqrt(228))*1 + sqrt(228) + -1*sqrt(228)*-2)\/(1*sqrt(240)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610244 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose s*b - 2 + 1 = q, -4*b + q = 0. Let a = b - 3. Is a at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - g**3 + g**3 + (-g**4 - 3*g**4 + 6*g**4)*(-20 + 20 + 8*g).\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 11706\/11 (c) 24 (d) -1.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 6. Let s = 2 - n. Suppose -4*d + 5*t = -s*t - 43, 5*d - 75 = 2*t. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4153338 by 3878.\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 10*j**2 - 7*j + 1. Suppose a = -5*a + 444. Suppose 0 = -a*h + 55*h - 171. What is o(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 8*k - 7. Let s be m(-9). Solve -2*q - 2*q + s*f - 20 = 0, 16 = -4*q + f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162, -110, -384, -660, -938?\n\"Answer: -y**2 - 269*y + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -33*q**3 + 9*q**2 - 17*q - 9. Let y(s) = -8*s**3 + 2*s**2 - 4*s - 2. Determine 2*u(k) - 9*y(k).\nAnswer: 6*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, w: 6, k: 2, s: 3, h: 1, u: 2}. Give prob of sequence hws.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 2\/3, -15, 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114183063.\nAnswer: 3, 23, 29, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4.5. Let a = 14.423 - 0.323. Let g = o + a. Round g to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(13) + 1 + sqrt(13) + -4)**2 + sqrt(13) - (sqrt(117) + 0 + -2)) + (1*sqrt(156))\/sqrt(12) + (sqrt(39)\/sqrt(3))**2*2 + (2*sqrt(468)*-2)**2.\nAnswer: -13*sqrt(13) + 7573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b04 (base 13) in base 11?\nAnswer: -9720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/100)\/(3*-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2\/2 + 3*f + 3. Suppose 0 = 3*p + 5 + 10. What is c(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3283)\/(-75978))\/(4\/18))\/(7\/10).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 9, 4*j + d + 0*d + 3 = 0. Suppose -2*r + j*r + 7 = u, -16 = 4*r. Solve -t + 3*b = -u, -5*b + 0 - 5 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h. Let p be v(1). Suppose 0*a + 76 = 2*a. Let x = a - p. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-9)*j)\/j)**(-8))**(-44\/3) assuming j is positive.\nAnswer: j**(3520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220218*o - 1215\/2*o**3 - 20349*o**2 + 176868 - 6*o**4.\nAnswer: -3*(o + 34)**3*(4*o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) -34\/13 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o**2 + 11*o + 5. Let s be p(-5). Let r be 5\/15 - 4*259\/(-42). What is the greatest common factor of r and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from uzumzztuztmz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28 - 2)*60\/18. Let o = 11 + c. Is 3\/(-3)*1*o 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 471 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 404 (b) 6\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2 - 3526*l + 7056 = 0?\nAnswer: -3528, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**2 - 8*m - 5. Let v be w(1). Which is the nearest to v? (a) -2\/3 (b) -5 (c) 245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1604*h + 7470 - 71630 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 35. Suppose -y*m + 4 = -2*m, -4*b + 196 = 2*m. Let t = b - 38. Calculate the remainder when 23 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.978 or -1989?\nAnswer: -1.978","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 2 k when four letters picked without replacement from {g: 4, r: 2, k: 3, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1312.487 and 13?\nAnswer: 17062.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9) + 103208\/(-873) + 55?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12764*z**3 - 12815*z**3 - 3*z**2 - 12725*z**3 + z**2 + 38222*z**3.\nAnswer: -82*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4699 + 0.47. Round h to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*f - 17*f + 8 - 8 - 2 + 4 in the form q*f + r and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3389673437 + -2.56391.\nAnswer: -3389673439.56391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 4*s**2 - 2*s**2)*(-13 + 22 + 19) + (2*s + 0 + 0)*(5 - 1 - 2)*(-1643 - 77*s + 1643) in the form i*s**2 + z*s + n and give i.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/j)\/(j*j**(-1\/5))*j**(-5)*j**(3\/7))**(-13) assuming j is positive.\nAnswer: j**(1079\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*z - 515438623*f**3 + 110977*f**2*z + f*z - 406*z wrt z?\nAnswer: -f**3 + 110977*f**2 + f - 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 46. Let m(p) = p - 15. Let f be 1 - (2*17)\/2. Let t(y) = f*m(y) - 5*c(y). Let k(q) = -q + 1. Let d(w) = -5*k(w) + t(w). Calculate d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-19 - (-14 - -15)) + 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1\/3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402334 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.2, -24, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:39 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142780 is divided by 63.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22807 - -1.065.\nAnswer: -22805.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 19*w**2 - w + 13. Calculate x(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/12)\/(57 - (-17716)\/(-309)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18050 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*v + 24 = 0. Suppose 2*y - 2*n = 8, -v*y + n + 12 = -4*n. Calculate the remainder when 12 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*y - 0*v - v, 5*v = 0. What is the common denominator of -1 + ((-395)\/(-18))\/y and 83\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 + 27*s + 51. What is x(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 6928704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(9\/4)\/y))\/y*y)**(-11\/2)\/(y**(1\/8)*y\/(y\/(y\/(y\/(y\/(y*(y*y**(12\/11))\/y)))))) assuming y is positive.\nAnswer: y**(103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 126*b**2. Let c(j) = -6*j**2. What is s(c(z))?\nAnswer: 4536*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Calculate the remainder when 17 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18140226439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 - 1\/1). Let p(w) = 2 + w**3 - 3 - 3*w**2 - 3 + t + 4*w. What is p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 11, -33, -5, 1 in descending order.\nAnswer: 18, 11, 1, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Suppose -3*v + 30 = 7*g - x*g, -4*g + 5 = -3*v. Let f = -24 - -24.5. Which is the nearest to 1\/4? (a) 3 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2.4. Let g = -5.9 - 0.1. Let b = g + 9. Sort m, b, 5 in increasing order.\nAnswer: m, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14653d3 (base 14) to base 15\nAnswer: d10eb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 3. Suppose 18*b = 19*b + y. Let d be 496\/24*21*b\/(-2). Round d to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1338, -0.1, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 101 = -172. What is the remainder when 114 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = 65 + 133 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 6\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 204*y**2 - 2 + 3 + 2247*y**2 - 3.\nAnswer: 2451*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 17922106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054285 rounded to 5 decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-4))\/(c**1\/c)*(c**(1\/5))**(-7\/5))**31 assuming c is positive.\nAnswer: c**(-992\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 7:54 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-728)\/(-260)*(-10)\/12?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -17. Let p = -7.84377 - 1.16853. Let w = p - g. What is w rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/84*-4*(-9)\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 564 = -11*j. Calculate the lowest common multiple of 110 and j.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10254124 divided by -11\nAnswer: 10254124\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(34)\/sqrt(2) - sqrt(17))*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 57639+-0.067\nAnswer: 57638.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8673*i - 52036. Let n be k(6). Solve 13\/3*p**5 - 53\/3*p**n + 2*p - 67\/3*p**4 + 0 + 101\/3*p**3 = 0.\nAnswer: 0, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 48*h - 180.\nAnswer: -3*(h + 6)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 13. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/24)\/(19\/(-456)). Solve -2*s - 7 = -t + 1, 0 = -s - f*t + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84845 = 84845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 27. Let y be b(8). Factor -16*u**4 - 11*u**2 + 4*u + 64*u**5 - 5*u - 28*u**3 - 8*u**y.\nAnswer: u*(u - 1)*(4*u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474254 is divided by 4607?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*3*(25380\/30)\/47?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 2*b**2 - 7*b + 2. Let t be v(-5). Let a = t - -59. Suppose 0 = l + 2*l - 21. What is the greatest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 13938.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/351, -2\/1205, 0.67 in decreasing order.\nAnswer: 0.67, -2\/1205, -14\/351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = 440*y + 7581 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 130*l - 101. What is w(5)?\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37688 - -1?\nAnswer: -37687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - l - 57 = -4*l, 12 = 4*l. Let h(k) = 498*k**2 + k - 5. Let b be h(-1). Calculate the greatest common factor of g and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4303 + -4300. Let y be (-4)\/(-10) - (-4)\/(-35). Which is the closest to y? (a) -0.2 (b) u (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-336)*-18 + -145*60\/(-350)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10605 - 6423. Suppose -5*f = -3*t - 2103 - 2083, 0 = 5*f - t - m. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93730 and 27170.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2233 + 2235. What is the closest to -0.04 in g, -0.1, -4\/3, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 11*t = -12*t + 6 - 996 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*4*(-1*sqrt(1900) - sqrt(1900)) - ((sqrt(304)*-2 - sqrt(19)) + sqrt(684) + 0)) + -3)**2.\nAnswer: 1422*sqrt(19) + 1067220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9432.775 millilitres to litres.\nAnswer: 9.432775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914146 is divided by 1511.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10788739 by -2351.\nAnswer: 4589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076109515 to the power of 1\/3, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose -2*a + 12 = y*a. Solve f - a = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/12)*b)**(-49)\/(b**19*b\/b**(3\/11)*b) assuming b is positive.\nAnswer: b**(-16211\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105808605041131 minus 12?\nAnswer: -11.894191394958869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(405) + 1 + 2)**2 + ((0 + sqrt(405) + 5 - sqrt(405)) + sqrt(405))**2 + -5 + -1 + sqrt(405))*-2.\nAnswer: 1530*sqrt(5) + 8360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 23. Let k = 18 + b. Let p be k + -2 + (1 - 3). Solve 4*w = -w - 2*s, p*s - 2 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1653090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22aa9b (base 15) to base 14.\nAnswer: 3117a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -1372076?\nAnswer: -1372074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from zcczcczczzccz?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1694) + 1*sqrt(1694) + sqrt(1694))*6)\/(sqrt(98) + 5*sqrt(98) - 3*(sqrt(2) - sqrt(4)\/sqrt(2))).\nAnswer: -165*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**4 + m**3 - m**2 - m. Let t(w) = -4*w**5 + 34*w**4 - 26*w**3 - 46*w**2 + 30*w. Let l(z) = 6*q(z) - t(z). Factor l(f).\nAnswer: 4*f*(f - 9)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - 13*q - 1. Let x(s) = 6*s**2 + 13*s + 2. Let r(h) = 7*t(h) + 6*x(h). Let g be r(13). Suppose -g*d = -49 + 24. Solve d*o + 7 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 13*f + 36. Suppose 33 = 5*b - 12. Let c be z(b). Suppose 4*k - 8 = 0, 5*n - 5*k = 3 + 2. Solve c*x = n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-14)*(-539)\/770.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 2. Let t be f(5). Let v = -1 + t. Suppose -5*j - 4*h - 25 = 0, -j + v*h + 5 = 4*j. Sort j, 0, -5 in descending order.\nAnswer: 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 - 2*u + 2*u)*(-841*u**2 - 627*u**2 - 267*u**2) in the form p*u**3 + l*u + b + w*u**2 + t*u**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 - 5*z**2 + 7*z + 5. Let m(f) = 2*f**3 + 3*f**2 - 3*f - 3. Let d(o) = -3*h(o) - 5*m(o). Find the second derivative of d(y) wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9)\/(9\/(-5265)*26).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from raarfffkrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116129555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 934\/116129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.88 - -0.32. Let g = 0.5894 + -0.2894. Let w = g + k. Round w to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78521640, 78521641, 78521642?\n\"Answer: i + 78521639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9004*k**2 - 8622*k**2 + 17616*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 153, 349, 625, 981, 1417?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0 = 4*f + 10, 17*f + 71 = -3*x + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4)*(-1)\/(-3))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1 + 0 + 3 + 8*y**3 + 3*y**3 + 9*y. Let w(s) = -11*s**3 - 9*s - 5. Let i(j) = -4*w(j) - 5*z(j). Find the second derivative of i(a) wrt a.\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 + -7 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9))\/(178\/(-3204))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 1\/3, 24.\nAnswer: -0.29, 1\/3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 12*y + 9. Let o be m(-6). Let d(c) = -c + 12. Let l be d(o). Suppose 3*h + 13 = 1. Sort l, -5, h in decreasing order.\nAnswer: l, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -92*q**2 - 6. Let w(a) = 2*a. What is d(w(j))?\nAnswer: -368*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5899*l - 3055*l - 2843*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -13807?\nAnswer: -13810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-48) + (-343)\/140 + 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let s(a) = -a**2 - 4*a. Let o be s(u). Suppose -9 = -o*t - t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5950696 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.75 + 32. Let l = j + -29.25. Let i = -29.8 - l. Is i != -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 414 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4 - ((-50 - -23) + 14)) + -6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 46. Let q = v + -44. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -7, -8510, -12, -3 in decreasing order.\nAnswer: 10, -1, -3, -7, -12, -8510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-8) + 8\/96. Let o = -228.231 - -228. Let j = 4.769 - o. Which is the nearest to f? (a) -0.3 (b) 6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((210\/980)\/((-1326)\/(-91))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {q: 1, h: 1, u: 1, o: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 162234 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 398014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-86)\/(-3))\/(8\/12).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r + 1. Let a be y(-1). Let d(j) be the second derivative of 3\/2*j**2 + 1\/2*j**a + 0 - 3*j. Let q(t) = -t**2. Calculate d(q(p)).\nAnswer: -3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 753 = f, -y + 4*y + 741 = -3*f. Let n = -32 - y. Suppose -2*v = 4*p - n, 5*v + 50 = p + 1. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -283?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -433927 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-3)\/(-108))\/((-1)\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/3 - 165680*a**2\/3 + 6862465600*a\/3 = 0. What is a?\nAnswer: 0, 82840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + o - 4. Let n be 84\/14 + -4 + 1 + 0. Let j(f) = -22 + 40 - 6*f**2 - 3*f + f - 13. Calculate n*j(d) + 4*a(d).\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6930)\/176)\/9)\/((-9)\/72)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**2 + 1\/6*d**4 + 0 - 3*d + 2\/3*d**3. What is the tens digit of b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 4*v**2 + 0*v**2 - 5*v + 5*v + 2*v**2 + (25 + 3*v - 25)*(4*v - v + 0*v) + (3 + 3*v - 3)*(-4 - v + 4))*(2 - 1 + 1).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1302046*a**2*b + 5*a**2 + 86247*a*b - 5*a + b + 7 wrt a?\nAnswer: -2604092*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1668.\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -1710481.\nAnswer: -1710480.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2) + (-5)\/(-10). Let t(n) = n**m + 14*n**2 + 98*n**2 - 7 - n + 8. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = 39 + 101 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672671 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 8)*(-4)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -20, 18, 112, 286, 564?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13275 and -25?\nAnswer: 331875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 27.3. What is the closest to d in 3, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -6, -5, -4 in descending order.\nAnswer: 0, -4, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(371*p**2 + 89*p**2 - 94*p**2) - 2*p**2 + 0 + 0.\nAnswer: -368*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -91. Let a = -75 + l. Let w = a - 28. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in years?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - v + 3*v)*(v**2 - v**2 - 2*v**2) - v**3 + v**3 - v**3 to y*v + o*v**3 + a + s*v**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 2*u - 4*u. Suppose 5*k + u = -k. Let s = k - -30. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27835 - 131?\nAnswer: -27966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4 + 8 - 947*k + 959*k + 3*k**2 - 4*k**2. Suppose 5*j - 127 = 5*c - 42, j + 3 = -3*c. Let s be h(j). Solve 0 = -x + 2*x + s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - 131. Let b = 77\/3 + -26. What is the third smallest value in 5, b, w, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -440808*g**3 - 81889*g wrt g.\nAnswer: -2644848*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r**2 - 67*r**2 - 27*r**2 - 17*r**2 as d*r**2 + p + o*r and give d.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88.87286 centimeters?\nAnswer: 0.8887286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.99959 and 1.1.\nAnswer: 2.09959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 46571*f**2. Let p(m) = -3*m. Give p(o(t)).\nAnswer: -139713*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d + 153*d - 68*d)*(-9 + 24 - 3).\nAnswer: 1116*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-14) + (-1483328)\/(-1372). Do 4 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.7 + 18. Let d = 4.2 + f. Let y = -0.4 + 2.4. Which is the second smallest value? (a) 2\/13 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3.01. Let j = q - 3.91. Which is the third smallest value? (a) 4\/11 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/144 + 35*m**4\/24 - 5*m**2 + 2. Let u(r) be the second derivative of i(r). Let p(y) = -11*y. Determine p(u(b)).\nAnswer: 55*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27142)\/(-6) - 4\/6. Let u be 67413\/33 + -3 - ((-320)\/(-55) + -6). Let v = l - u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*m**2 + 157*m**2 - 313*m**2 + 8*m**2 as o*m + s*m**2 + f and give s.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/24*3\/2. Suppose 0 = -w*t - 1 + 5. Suppose t*h = 56 - 12. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 101. Let y = 20 + m. Solve g = -g - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.5. Let d = 66.9011 + -0.1011. Let t = -67.8 + d. What is the third biggest value in g, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubbbu. What is prob of picking 2 b and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, 0.\nAnswer: -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647861.\nAnswer: 647861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1803*c**3 + 733*c**3 + 300*c**3.\nAnswer: 2836*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1788 is divided by 878.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:42 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4 - 3, 2*b = 4*q - 1414. Suppose 0*n + 3*c = 4*n - 504, -4*c + q = 3*n. What are the prime factors of n?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 53 + 12\/(7 - 3). Calculate the highest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34861710 and 25915.\nAnswer: 2544904830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Let a be (0\/l)\/(13 - 11). Suppose 3*p + 9 = a, 3*u - 7*u = -4*p - 288012. Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308227810 a multiple of 2507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 15*i - 3*i - i - 11 + 11 + (2*i - 3 + 3)*(-1 - 5 + 4) - 2 + 2 + i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1711 - -1708. Sort -0.5, h, 2, 0.1, 21 in decreasing order.\nAnswer: 21, 2, 0.1, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(2\/5)*p)*p\/(p\/(p*p**6)*p))\/(p**(-1))**(1\/22) assuming p is positive.\nAnswer: p**(621\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 4*v. Let y(c) = -10*c + 9. Let b(m) = -7*m + 6. Let o(z) = -3*b(z) + 2*y(z). What is -3*o(l) + t(l)?\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0173? (a) 0.58 (b) 22 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 976850*u + 715676941875.\nAnswer: (u + 1465275)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53516172 is divided by 17604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7118*b**2 - 124*b - 19. Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 + 260. Let q = u - 69. Let p = 68.19 - q. Round p to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7683 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.97 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-43)*(-126)\/(-32)*(-8)\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3865162 centuries in decades?\nAnswer: 3.865162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 35*u - 4. Let v(z) = -88*z + 10. Determine -12*r(i) - 5*v(i).\nAnswer: 20*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 545 = 2027. Suppose 0 = -18*a + x + 141. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012\/46*1136\/352\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.367049 micrograms in nanograms?\nAnswer: 9367.049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678*i**2 + 18571*i**2 + 6*i**3 - i**3 - i**3.\nAnswer: 4*i**3 + 16893*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 7. Let r be o(3). Suppose 0*i + t + 3 = 2*i, -4 = -4*t. Suppose -r*f - i + 16 = 0. Calculate the remainder when 13 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 39*s - 15 = 0. Suppose 4*t + 10 = 2*r, -r + 6 - 1 = 5*t. Suppose s*d - 4*u = 2*d - 18, -u + 3 = t. Which is smaller: d or -5\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70855022 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 35312780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157 and 9?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 16*k + 5*k**2 - 32 - 6*k**2 - 2*k**2.\nAnswer: -2*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8451 divided by 3.\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-21)*c**(-4\/3)\/((((c*c\/(c\/c**0)*c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let r(s) = s**2 - 6*s + 4. Let p be r(6). Suppose 0 = -p*f + 13 + 23. What is the lowest common multiple of f and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 31172*s. Let o(m) = 767*m. Determine o(u(h)).\nAnswer: -1534*h**2 - 23908924*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 7 (b) 193\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*g - 40*g + 2556. List the prime factors of g.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.2 and 315.24.\nAnswer: -11726.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, n: 7}. Give prob of sequence snss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5330 and 120796660.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346897142.\nAnswer: 2, 173448571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -377686.\nAnswer: 151074.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 443*p**2. Let j(m) = m**2 + 81*m**2 - 81*m**2. Calculate j(k(s)).\nAnswer: 196249*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20146 = -521818. Let x = -54609 + k. Suppose 4*f = -17191 - x. Round f to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*d - 11, c + 4 + 3 = 4*d. Let s be (-8)\/(-24) - (-17)\/d. Suppose -m - 90 = -s*m. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 403643956 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8008573?\nAnswer: 8008573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63064317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (5 + -13 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996515967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-18))\/(1\/(-42)). Suppose 3*t = -0*t + 2*p + x, 3*p = -3. What is the greatest common factor of 28 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -38. Solve n + 6 = c*h - n, 4*h + 5*n = -15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713844283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**2 - p**2 - 3*p**2 + (-3*p + 5*p + 0*p)*(-4 + 2 + 1)*(-p + 3*p - 4 - 1).\nAnswer: -p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = -u. Let f be u\/2*(8 - 224\/24). Let t(k) = k**3 - 7*k**2 + 3*k - 9. Calculate t(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 7. Let y(k) = -k**3 - 2*k - 7. Let r be y(0). Calculate i(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314900 rounded to the nearest ten thousand?\nAnswer: 4310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.95 - -374.35. Let h = w + -341. Let q = 0 + -1. Which is the nearest to q? (a) h (b) 2 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -396370770 bigger than -2378224615\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 3. Suppose u*x - 12 = 0, 6 + 42 = 2*b + x. Calculate the smallest common multiple of b and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60651 is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39846 is divided by 359.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30387, -121489, -273305, -485829, -759055?\n\"Answer: d**3 - 30363*d**2 - 20*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4684896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, -12.003, 4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uueuueeaue?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/10 + -7\/5. Calculate the common denominator of w and ((-37)\/(-5))\/((-6)\/5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*6\/14. What is the second smallest value in 0.1, -0.3, n, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u. Suppose 0 = 4*j + i - 285, 5*j = i - u*i + 363. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 663543114 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2712.9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27790481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - -1.3. Suppose -3*j = -8*f + 3*f + 14, -4*j = -f + 13. Let z be (2\/20)\/(6\/15). What is the nearest to -0.5 in i, z, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -205\/67 and -0.006 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 3550 = -11758. Let b = f - -175. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -6 (c) -3\/7 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 3)*(120 + 29 + z - 11) to the form r + u*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*q + 11, 3*q - 4*q = 4. Let f = 0.4 - 0.9. Let s = 0.5 + f. Which is the closest to s? (a) y (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 3*q + 1. List the prime factors of v(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - (-5 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980116 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 951499699 to the power of 1\/2, to the nearest integer?\nAnswer: 30846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/10*49820\/25016*59\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let o = -704\/1281 + -4\/183. Sort r, 5, o.\nAnswer: r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.262543m to kilometers.\nAnswer: 0.007262543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/5 - 0 - (-9 - 807). Which is smaller: 3285\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a factor of 919605294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 103 = u, 3*r - 3*u + 4*u - 65 = 0. Let p = r + -19. Suppose 2*b - 2*d - 2 = -2*b, -4*b - p*d = -22. Solve -b*f - 1 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyyyprrryyyyrrrrry. Give prob of picking 2 p, 1 r, and 1 y.\nAnswer: 16\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 186*a + 871. Determine g(-181).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 739\/7. Let t = 118 + -120. Let m be (1 - t)*12\/(-36). What is the nearest to m in -1, r, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h**4 - 15*h**3 - 5*h + 391. Let d(t) = 10*t**4 - 6*t**3 - 2*t + 195. Let m(g) = 5*d(g) - 2*l(g). Differentiate m(y) wrt y.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 752266410 by -150453282.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -26*j**4\/3 - 20*j**3\/3 - 20*j**2 - 627*j. Let b(o) = 8*o**2 + 3*o + 3. Calculate -40*b(m) - 3*d(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40021268123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -49.266?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-8)\/(-12)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 1. Let n(w) = -4032978*w. Calculate g(n(f)).\nAnswer: -36296802*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1 + (-2)\/(-4) + (-2228)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/113 and 61\/18532.\nAnswer: 18532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139 and 265570?\nAnswer: 36914230","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6\/5, 215, -0.4, 2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, -73 in ascending order.\nAnswer: -73, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + x = -223, 0*p = -p - 3*x + 46. Let d(s) = -s - 108 - 2*s**2 + 53 + p. Let a(h) = h**2 + h. What is 2*a(j) + 2*d(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-8))\/(-2*15\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-4 - (13 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*x + 0 + 5.\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f - 2*p = -86*f - 114, 2*f - 3*p - 104 = 0. Solve 0 = -52*j + f*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/22 + 25\/2. Suppose x = -6*o + 19. Calculate the highest common divisor of o and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29893 is divided by 230?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/3999 + 3682897\/51987. Let o = -71 + d. Let i = 21111.6 + -21112. What is the second smallest value in i, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 56. Let q = -13 + k. Solve 4*j = q - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 1 - 8. Suppose 15 = 4*a + u, 0 = -5*a - 0*u + 4*u + c. Suppose 31*z = 9*z + 88. Solve -m - z = -a*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 53. Let l be (-1 + s)*(-7 + 6). Let z be (3\/l)\/(9\/(-12)). What is the second smallest value in 0.1, 1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + l + 1. Suppose 3*x = 117*x - 570. Let r(d) = 24*d**2 - 28*d - 28. Calculate x*r(y) + 140*n(y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4741.9975 - 4731. Let g = i - 11. What is g rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 + 9*i. Let z be a(-9). Suppose -2*f - 2*u + 5 = -19, z = u - 3. What is the remainder when 3 + 123\/9 + (-6)\/9 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8946)\/(-105))\/((8\/(-10))\/(-4))?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*j - 109*j + 34*j - 84*j**2 + 32*j in the form a*j + p*j**2 + k and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 455*w**4 + 315 wrt w?\nAnswer: 1820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40922, 40900, 40868, 40826, 40774, 40712?\nAnswer: 40640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(-9696)\/57570\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 166 (b) 74 (c) 22 (d) -2\/17 (e) 5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 2*i + 2. Let q be 20\/(-10) - (1 + 23). Let t = 41 + q. Calculate the remainder when d(-3) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16320635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 2. Let h be z(0). Suppose 10 = -y + 4*y + k, h*y = 4*k + 30. What is the remainder when 17 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 3847?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 - 2730*n**2 + 2730*n**2 - 459*n**3.\nAnswer: -469*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 3*v + 2. Let k be h(3). Suppose s - z = 2*s - 9, 3*z = k*s + 7. Let b(y) = 7 + y**2 + y + s*y + y**3 - 4*y. What is b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 7*u - 32. Let g be a(-11). Calculate the greatest common divisor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -20*q + 347. What is the third derivative of 105*p**4 + 7*p**4 + 21*p**2 + q*p**2 - p + 87*p**4 wrt p?\nAnswer: 4776*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167815829231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 11*b - 6*b + 25*b - 9*b in the form x*b + n and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20043031 - -1131?\nAnswer: 20044212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8 - 39) + (-9 - -22 - 19).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1272614 + 0?\nAnswer: -1272614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6537 (b) -4.7 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 3*x + 2. What is j(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3 + 2 - -38. Let r = -24 + z. Let k be 1*-12*(-18)\/4. What is the highest common factor of k and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b (base 12) to base 15.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 1 + -22 + 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + r - 28 = 0, -p + r + 4 = 4*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = 5*s - 2*y - 444, 2*s - y = 381. Let f(b) = 12*b + 80. Let m be f(6). What is the greatest common divisor of m and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 2, j: 5}. Give prob of picking 1 m and 1 j.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3\/6*(-22)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 728, 3 in ascending order.\nAnswer: 3, 5, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1876 and 392.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 52*z + 56. Let p(s) = 7*s**3 - s**2 - s + 1. Let a be p(1). What is the hundreds digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 - 2*m**2 + 9*m**2)*(-2 + 1 - 2) + 3 - 2*m**2 - 3 in the form w*m**2 + l + a*m and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -494d - -4?\nAnswer: -4949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*h - 940*h**3 + 0 + 7030\/3*h**2 + 120*h**4 = 0.\nAnswer: 0, 3\/2, 19\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:21 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 7\/6*z**4 + 0*z**3 + 0*z**2 + 0 + 20*z. Let v(t) = -2*t. What is v(h(q))?\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**3 + 9*b**2 + 3*b - 2. Suppose 0 = i, -i + 12 = -5*u - 8. Let n(g) = 3*g**3 - 4*g**2 - g + 1. Determine u*f(o) - 9*n(o).\nAnswer: o**3 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 183, 409, 725?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2581 (c) 23 (d) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6042\/3816 + 3\/(-2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.2 (c) -2.3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)\/(r\/r**(2\/3))*(r**0*r*r)\/r**(-27) assuming r is positive.\nAnswer: r**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -2 + 2 - 1*4. List the prime factors of 404\/f + 15\/45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143402222 (base 5) to base 4\nAnswer: 2322032330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*q + 455 = -3*g, -17*q + 24 = -4*g - 4*q - 10*q for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 743209 - -12?\nAnswer: 743221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -1, 1, 15, 47, 103, 189?\n\"Answer: c**3 - 3*c**2 - 2*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 31*w - 51. Give b(-32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 11*b**5\/60 + b**2. Let k(h) = 2*h. What is k(s(w))?\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:35 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28373 - 128248 = 1175*n for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/11 and 1\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9948 + -9889. Calculate the remainder when 2390 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-234) - (-3)\/65)\/((-1)\/7)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 1196*l**2 - 5*l - 11*l - 1192*l**2 to i*l + j + f*l**3 + y*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z**3 - 17*z**2 - 13. Let n(o) = 7*o**3 + 11*o**2 + 9. Give 7*n(m) + 5*q(m).\nAnswer: -m**3 - 8*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1472 - -1470. Put -220, 5, u, -1, 2 in increasing order.\nAnswer: -220, u, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u**2 - 12541*u - 100593. Calculate h(844).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 813*c - 456*c + 356*c - 1134 + 547*c wrt c.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/3 + 370*k\/3 + 600 = 0. Calculate k.\nAnswer: -180, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:36 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and -2036303003?\nAnswer: 2036303035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 601516282 to the power of 1\/2, to the nearest integer?\nAnswer: 24526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1331*t**4\/7 - 55660*t**3 + 1056000*t**2\/7 - 958000*t\/7 + 290000\/7.\nAnswer: (t - 290)*(11*t - 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32510468*m**2*t**3 + 33605*m**2*t - 126*m*t wrt t?\nAnswer: -195062808*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/20 or -1?\nAnswer: -23\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16614803 + 9559303. What is g rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 3*d**3 + 5*d**3 + 2*d**3 + d**3 - 4*d**3 + 6*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558031*l - 2558004*l = 378 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 215.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.3*0.3.\nAnswer: 6.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-8))\/((-69)\/(-276)). Solve 0 = -4*u + 5*j + 7, 0 = 5*j - 10 + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = -3*l - 222, -280 = -5*j + 5*l. Suppose 0 = j*x - 61*x + 2121. What are the prime factors of x?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747.323 millennia in months?\nAnswer: 56967876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and 0.5.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 - 3521223.67.\nAnswer: -3521103.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 44*k**2 + 43*k + 25. Let i be r(-45). Which is the third biggest value? (a) 2 (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5\/4, 1, -6\/11, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 minutes after 12:54 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from vuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (52\/20 - 1)) + -3. Which is the fourth biggest value? (a) -2\/3 (b) n (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20239 is divided by 343.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*n**3 - 224*n**2 - 818*n + 156.\nAnswer: 2*(n - 13)*(n + 3)*(11*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 6*z + 35. Suppose l = z*l. Solve l = -4*o - 0*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962556, 1925124, 2887692, 3850260, 4812828, 5775396?\nAnswer: 6737964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*j = -0*j + 13, -4*g - 5*j = -15. Solve g = -4*c + d, -c - 11 = 2*d + d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -0.3, -99, 4, 80\/9?\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 11 + 7)*(-3 + j + 3) - 1 + j + 1 + 0*j + 2*j - 4*j + (-2*j + 5*j - j)*(5 - 3 + 0) as l + x*j and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*i + 1140 = 173*i. Calculate the remainder when 3228 is divided by i.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.06149071703 - 1.\nAnswer: -2.06149071703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6002, -5, 5 in descending order.\nAnswer: 6002, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8*s + 20 = 0. Solve s*l = 5*o - 30, l = 3*o - 5 - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94520669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10048?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iujujffujjjafrffj. Give prob of picking 1 r and 1 u.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116\/431 or -1?\nAnswer: -116\/431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1556874, -6227506, -14011902, -24910068, -38922010, -56047734?\nAnswer: -76287246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35151.73 milligrams to grams.\nAnswer: 35.15173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31522824 - 1481629126\/47. Let h = w + 1200. Is -1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, -4, 5 in descending order.\nAnswer: 5, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/41 + -1\/205. Let l = -4.698 - -0.698. What is the second smallest value in -1, m, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 10*g - 1116. Differentiate -13*n + 140 + g - 214 with respect to n.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 3*x**3 - 6*x**3 + 11*x in the form a + g*x**3 + y*x + z*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k - 16*k + 11*k**2. Let v(t) = -4*t**2. Let b(m) = -8*v(m) - 3*y(m). Let p(f) = 7*f. What is p(b(a))?\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 14 = -2*c, 3*y - 20 = 8*y + 5*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/17 (b) -3\/4 (c) 75 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 4*h**2 + h**2 + (3*h - 5*h + 22*h)*(3*h + 3 - 3) to w*h**2 + t*h + o and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f**2 + 2*f**2)*(-3*f + 2*f - f)*(15*f + 15*f - 17*f).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15391 or 15375?\nAnswer: 15391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*s*y**2 + 16*s + 769*y**2 wrt s?\nAnswer: -4*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1409335*a**2*t**3 + 100*a**2 - a*t**2 - 3*t**2 + 91 wrt t?\nAnswer: 8456010*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424 - 200. Let l = k + -229. Let f be 1 + 1*1*-5. Which is the smallest value? (a) 0.4 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 1. Which is the smallest value? (a) -5 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 5*i - 44, -172*d + 177*d = 3*i - 2. Find r such that 0*r + 0 - 16\/7*r**5 - 44\/7*r**3 + 52\/7*r**4 + 8\/7*r**d = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1 + 2 + (sqrt(448)*1 + 2 - sqrt(448)) - (sqrt(448)*-2*1 - (((-2 + sqrt(448) + sqrt(448))**2 + sqrt(448))*2 - sqrt(448)))) + -4.\nAnswer: -112*sqrt(7) + 3592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 753.2638mm?\nAnswer: 0.0007532638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (9 + -3 - (4 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.20000141 + 30.2. Round q to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4\/90 - 8*s**3\/45 - 4*s**2\/3 - 64*s + 29. Let k(w) be the first derivative of j(w). Factor k(g).\nAnswer: 2*(g - 10)*(g + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -524.9 - -581. Let k = -56 + x. Let m = 57\/40 - 21\/8. Sort m, -0.1, k, 5 in ascending order.\nAnswer: m, -0.1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.8 + -1.2. Is q >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231633809?\nAnswer: 11, 379, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t + 12*t - 17*t - 381824 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26343843?\nAnswer: 3, 1549, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -70, 12\/7, -0.04, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 0.2, -0.01, 0, 180, -3, -0.1408?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6025 and 65.\nAnswer: 78325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021332 - -111321?\nAnswer: -310011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16799 in -1\/12, -1\/9, 3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -2. Solve 0 = -4*r + s*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 26) + -5 - 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*c = 10, -2*y - 6 = c - 4. What is the nearest to 26 in y, -5, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001459464 rounded to five dps?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115132 (base 6) to base 4.\nAnswer: 31320200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8931301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300990229 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -11*n + 590. Let r = -102 - n. Solve r = 3*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, j: 2, b: 1, y: 1, r: 1}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(7\/(-2) - -2). Let g(m) = -6*m + 1 + 0*m**2 + 5*m**2 + 0*m**2. Let b be g(5). Calculate the greatest common divisor of b and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4)*(-166 + 84 + 85)*(-4*z**5 + z**5 + 0*z**5).\nAnswer: -36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 > -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*a**2 + 1697 - 1669 + 100*a**2 + 113*a**2 - 429*a**2 + 110*a**2.\nAnswer: -a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 248 = 24*o, 0 = -4*t + 41*o - 42*o - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11392 less than -0.3?\nAnswer: -11392.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58689, 58011, 57333, 56655, 55977?\n\"Answer: -678*z + 59367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96\/49 + 1350\/539. Which is the second smallest value? (a) -2\/7 (b) 12 (c) -2\/19 (d) 0.5 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -354184*n**3 - n - 141 + 354182*n**3 - 9*n**2 + 50 - 44 as v*n**3 + s*n**2 + b + j*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3611499659 to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 - 775\/3. Which is the fourth smallest value? (a) -2\/21 (b) -26 (c) 5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 2*g**4 + g**2 + (-g + 9 - 9)*(5*g**3 + g**3 - 5*g**3).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186826 and 872.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 250.9684314 to two decimal places.\nAnswer: 250.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-856*j + 5*j**2 + 856*j + (-j + 3*j - j)*(0*j + j + j))*(-j + j + 2*j**2).\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -139, -410, -917, -1738?\n\"Answer: -13*w**3 - w**2 - 19*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 9*h**2 - 9*h + 9. Let m be l(-10). Let j be m\/(-5) - (-38)\/10. Let v be 2 + (-146)\/(j\/(-2)). Calculate the greatest common factor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.151 - 0.951. What is the closest to -3 in x, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 118 - 67 - 2*g**3 + 5*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -80 and 2.51.\nAnswer: -77.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1517, 6197, 14005, 24947, 39029, 56257?\n\"Answer: g**3 + 1558*g**2 - g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 5*w**2 - w + 2. Let v be t(-3). Suppose 7*m - v = -72. Calculate the lowest common multiple of 240\/42 - 2\/m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -22*g**5\/5 - 2*g**4 - 532*g**2 - 187. Find the second derivative of b(m) wrt m.\nAnswer: -264*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109548, -219089, -328630, -438171?\nAnswer: -547712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/8 - h**3\/2 + 2*h - 47. Factor f(y).\nAnswer: -(y - 1)*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524, -1989, -4392, -7733, -12012, -17229, -23384?\nAnswer: -30477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 2. Let l be n(0). Suppose 0*i - 4*i = -l*o - 262, -4*i + 4*o + 264 = 0. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2923391 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l - 33. Let w be c(6). Suppose -w*g - 4 = -31. What is the nearest to 0.4 in -0.3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91807 is divided by 63.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - (-5 - (-1 + -1 + -1)). Suppose 2290 = -c*g - 6950. Let h = g - -1324. What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2*s - 22, 12*s - 17*s = -30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4968 and -29\/276.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (126\/12)\/(77\/132). Solve 2*m - 8 = -h*z + 23*z, 5*m = -4*z - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 95 = 38*o - 36*o - 226, 4*r + 5*o - 115 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and 497479.\nAnswer: 497478.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 549 + -555.56. Round d to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 2 + sqrt(720))*-1 + 4)**2 - (sqrt(220) - (sqrt(220) - (-2*sqrt(220) + sqrt(220)))*-4)\/sqrt(11).\nAnswer: -114*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 3:13 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 1, j: 7, x: 1, q: 2, i: 5}. Give prob of picking 3 n and 1 q.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.5 - -12.5. Let n = -4.2 + 4. What is the third biggest value in n, c, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*g**2 - g**2 - 3*g**2 + 12*g**2 + 9*g**2.\nAnswer: 13*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) + 2535\/(-2925). Put u, -16\/23, -4\/9 in ascending order.\nAnswer: -16\/23, u, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 566 = 2*w, 20*u = 25*u + w + 703. Does u = -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 2 = -30 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**0)*d)\/d**(1\/7))\/((d**(-4)\/d)\/d**(2\/13))*d*d**4*d*d**0*(d**0)**(1\/17) assuming d is positive.\nAnswer: d**(1093\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 751833, 751858, 751881, 751902, 751921, 751938, 751953?\n\"Answer: -o**2 + 28*o + 751806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**2 + 13*b + 14. Let r be a(-8). Let c = r + -29. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244*i**4*j + 228729*i**2*j - 470130*i - 35*j wrt i?\nAnswer: 2928*i**2*j + 457458*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2020, -2019, -2018, -2017, -2016, -2015?\nAnswer: -2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 29*p**2. Let g(a) = 61946*a. Calculate g(v(z)).\nAnswer: 1796434*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 610 - -286. Does 32 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157, -237, -317?\n\"Answer: -80*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9308955 rounded to two decimal places?\nAnswer: -10.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 915, -7\/2, -44 in increasing order.\nAnswer: -44, -7\/2, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 15*t - 9. Let h(m) = -2*m**2 - 15*m - 9. Let l(c) = 2*h(c) - 3*w(c). Let q = 17 - 4. Is l(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 4*u - 1. Let v be f(2). Let c(x) = 12*x**4 - 12*x**2 + 3. Let y(b) = b**3 - b - 1. Let l(i) = v*y(i) + c(i). Solve l(q) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from cgcdcshsgggcs?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14775.5 - 14775. Sort -0.001, i, 0.1, 3\/2, -1 in decreasing order.\nAnswer: 3\/2, i, 0.1, -0.001, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/447280 and 25\/134184.\nAnswer: 1341840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4110 = -619*w - 1015 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {l: 2, d: 1, p: 10, s: 5, a: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49267.\nAnswer: 19, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 61956.\nAnswer: 61956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.814 rounded to one dp?\nAnswer: 38.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-9))\/(4\/12). Which is the third biggest value? (a) l (b) -1 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 4*b - 8*b. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 - 28*r**3 + 69*r**2 - 20*r = 0 for r.\nAnswer: 0, 1\/3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y*y*y**(-18))\/y)))\/(y*y\/(y**(-2\/23)*y))*(y**(-3\/4))**(-7\/11))**29 assuming y is positive.\nAnswer: y**(-487461\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 12*r**2 + 11*r + 5. Let n be k(-11). Suppose 0 = 4*q + 2*o - 196, n*q - 3*o - 82 = 185. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 63 = 3*q + 41, -5*q = p - 36. Let s(o) be the third derivative of 0*o + 0 + 0*o**4 + q*o**2 + 4\/39*o**3 - 1\/390*o**5. Factor s(x).\nAnswer: -2*(x - 2)*(x + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -127.1 and -3526116579.\nAnswer: -3526116706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4234, 5228, 6872, 9166?\nAnswer: 12110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = 0. Let r be -9 - (197\/(-18) - 9\/(162\/(-8))). What is the closest to d in 4, r, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -86*a + 2. Let h(s) = 2*s**2. Calculate h(v(z)).\nAnswer: 14792*z**2 - 688*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:19 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 - v**3 - 27*v**3 + (3*v - v - v + 2*v - 2*v + v + (3*v + 3*v - 5*v)*(1 + 0 + 1))*(0 + 1 + 0)*(-2 - 1 - 2*v**2 + v**2).\nAnswer: -35*v**3 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(3\/1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z**5\/7 + 939*z**4\/7 + 813*z**3\/7 - 939*z**2\/7 - 795*z\/7 = 0. Calculate z.\nAnswer: -1, -5\/6, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 178*f**2 - 5*f - 927. Calculate q(-178).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.004, -1\/6, -143, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.004, -1\/6, -2\/11, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558266 (base 9) to base 6.\nAnswer: 11054440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97704207 and -0.1.\nAnswer: -9770420.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*q + 185*q + 6*q**2 - 562*q + 177*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -118337453\nAnswer: 1\/118337453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*y - 1353, -3*y - 1347 = -0*m + 3*m. Let p be 204\/50 + 36\/y. Suppose 3*j + 6 = 81. Solve 0 = -p*n - n - j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -144. Let x = -35 - v. Calculate the remainder when 123 is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23952 * -62.\nAnswer: 1485024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 28 = -3*x, 5*x + 23 = 4*l - 37. Let t = -32 - l. Let v = t - -75. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990998499 to the nearest integer?\nAnswer: 31480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*1 - 297\/(-405).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:34 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 371, 373, 373, 371, 367?\n\"Answer: -x**2 + 5*x + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 17. Let m be 9 + 2 + 6 + -4. Let c be 2\/(-3)*(1 - m). What are the prime factors of z(c)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 11. Let k = -7.4 + j. Sort 3\/7, k, 0.2 in increasing order.\nAnswer: k, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/3 - 296714*y**3\/9 + 362704*y**2\/3 + 3956504*y\/9 + 395648\/3 = 0. What is y?\nAnswer: -49456, -2, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -96, -254, -446, -684, -980, -1346, -1794?\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1139*b + 978*b = 1669*b + 53760 for b.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 107 + 72 + 85 = 0. Put c, 8, 7, 0 in descending order.\nAnswer: c, 8, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -362827 and 1.1706?\nAnswer: 362828.1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/10 + (-1974328)\/584505?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7636, -17973, -31020, -46777, -65244, -86421?\n\"Answer: -1355*d**2 - 6272*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/4 - t**3 - 3*t**2\/2 - 3*t + 730. Let f = -2 + 5. Suppose 4*d + 28 = f*j - 0*j, 2*d + 8 = 0. What is n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 12*s**2 - 19*s + 81. What is the units digit of a(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8174173km in meters?\nAnswer: 817.4173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8533, 21839, 35145, 48451, 61757?\nAnswer: 75063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-6) - 2\/6. What is the closest to 1\/2 in 2\/5, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 12.2. Suppose 6*q + 20 = q. What is the second smallest value in 3\/5, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t**3 + 7*t - 2*t**4 - 49*t**3 - 43*t**3 + 134*t**3 to the form a*t + y*t**4 + k + q*t**2 + o*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 69979*l. Let h(c) = c**2. Calculate n(h(f)).\nAnswer: 69979*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1220)\/(-8) - (2 + (-10)\/4). Let h = k + -153. Suppose h = 3*j - j - 12. Let b(l) = 3*l - 5. Calculate b(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 4*o + 5*w - 24, -16 = -4*w. Let f(l) be the second derivative of l - 1\/2*l**o + 1\/6*l**3 + 0. Calculate f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + s = -5*a + 11, 2*a - 9 = 3*s. Suppose -81 = -3*f + f + 5*y, -a*f = 2*y - 74. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(15)\/(sqrt(10)\/sqrt(2) + sqrt(5)) + 3 + -1*((sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3)) + sqrt(48) + 5))**2.\nAnswer: 56*sqrt(3) + 403\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 43 = 31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 + -1 - (-180)\/27. Let p(n) = n**2 - 3*n + 9. Let c(x) = 1. Let y(o) = w*c(o) - p(o). Let s = 2 - 0. What is y(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -648*s - 126. What is the thousands digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147646.8ml to litres.\nAnswer: 147.6468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 1, -1\/4, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117)*-1 - sqrt(117) - sqrt(117))*5)\/(sqrt(9) - (sqrt(18) - -1*sqrt(18) - sqrt(18) - sqrt(18))\/sqrt(2)) + -1.\nAnswer: -14*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m = -47*m + 3*k + 99, -5*m + 111 = 3*k. Solve -8*w + 13 = -m*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**5\/5 - 227714*k**4\/5 + 147960*k**3 + 1058714*k**2 + 5009192*k\/5 - 1593816\/5 = 0. Calculate k.\nAnswer: -2, 1\/4, 7, 28461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -q. Let h(t) = 2*t**3 - 7*t**2 + 6*t - 5. What is the remainder when h(q) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*z + z**2 + 78*z - 51*z as j*z + h + o*z**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 8:30 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16194 - -0.2?\nAnswer: -16193.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**9*w\/(w\/(w*w**(1\/15)))*((w**(1\/4)*w)\/w)**(-2\/41))**(3\/10) assuming w is positive.\nAnswer: w**(13597\/4100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -17. Suppose 4*n = j*n - 35. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/((-42)\/(-16317)). Let a = 925 - k. What are the prime factors of a?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ajaaaja.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m. Let y(b) = -b**3 - 4*b**2 - 2*b - 3. Let k(a) = -2*s(a) + y(a). Calculate k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - 0.2. Let l = 0.75 - 0.54. Let n = -0.19 - l. Sort p, -0.5, n in descending order.\nAnswer: n, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 + -7*(-54 + -3) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.8396 and 1.795?\nAnswer: 14.072082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j - 5*c + 5 = -41*j, 3*c + 23 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 9*f - 32. Calculate d(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444434229?\nAnswer: 7, 101, 2043047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 82*f**2 + 75*f - 942. Calculate l(-83).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726\/(-5)*9\/((-54)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2009 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1808*d**3 - 1808*d**2 + 4*d. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34 + (-6 - -2) + 0. Suppose -x = 5*d - 8*d. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1592589 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -3*y**5\/2 - y**4\/4 + y**3\/2 - y**2\/2 - 3*y. Let h be m(1). Let t = h + 37. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-112 - (7 - 7)) + 2 + 47 + (40 - 77)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3, -5*w - 87 + 72 = -5*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(99) + sqrt(99)))**2 + -5.\nAnswer: 108*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {n: 4, t: 4, o: 7}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - -42) + -73 + 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 101*b. Let c(o) = 16*o - 3. What is f(c(i))?\nAnswer: 1616*i - 303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375400 by -2.\nAnswer: 187700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 404, 403, 402?\n\"Answer: -p + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 - 8*a - 5. Let t(c) = c**2 + c - 2. Let n(v) = 2*j(v) + 2*t(v). Let y(l) = -l**2 + l + 1. What is -3*n(z) - 42*y(z)?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 663*m - 1338.\nAnswer: 3*(m - 2)*(m + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -580*f - 100*f + 2175*f + 2541*f as w + y*f and give y.\nAnswer: 4036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 36*x + 267. Let y be g(-27). Let r be 4 - (-9 - y\/(-3)). Solve 2*z - 8 = 0, -5*l - 3*z - 18 = -r*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 22*t + 121. Let f be u(13). Solve -8*z + 2*y + 2 = -f*z, -z = y - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggv when three letters picked without replacement from {v: 1, k: 3, g: 3, h: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-3) + 1 + (-40)\/(-120). Suppose -y*l + 104 = 74. List the prime factors of (-92)\/l*(-8 + (4 - 5)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*u + 1 + 26*u + 36*u in the form y + k*u and give k.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -0. Let k(p) = y + 1 - 1 + 2*p - 2*p**2. Let o = -1 + 5. Let v(j) = 2*j**2 - 3*j - 3. Determine o*k(w) + 3*v(w).\nAnswer: -2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 49.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1641, -2888, -4959, -7848, -11549, -16056?\nAnswer: -21363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f - 5*s + 4, 3*f - 9 = -4*s. Let c(l) = 0 + 1 + 0*l - 5*l - 2*l**2 + f*l**2. Give c(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 124 = 11*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/152982380?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-84)*28)\/((-1)\/9*-11)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9704, 9692, 9680, 9668, 9656, 9644?\n\"Answer: -12*f + 9716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 3*t)*(-258*t**3 + 15538*t - 15538*t).\nAnswer: -516*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 476 = 3*j, 2*u = 9*j - 15*j + 944. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - v + 3*v = 17, -a + v = 21. Let p be (-5)\/a + 4\/(-220). Factor -p*t**2 + 2\/11 + 0*t.\nAnswer: -2*(t - 1)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obuhzhbzzz. What is prob of picking 4 z?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - d = 14, 2*d - 17 = 4*q + q. Let p = q - -8. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**3 + 17679340*a**2 - 70717312*a + 70717296 = 0.\nAnswer: 2, 4419831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 - 56*b + 68. Calculate m(14).\nAnswer: -3852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (-4 + (sqrt(363)*3)**2)) + 3 - (-1 + sqrt(363) + 2 + (sqrt(363) - (sqrt(363) + 1*sqrt(363)))**2*4).\nAnswer: -4713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 7 - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267585248102 + 5.\nAnswer: -267585248097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c + c + 6*c - 314 + 34 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*m - 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 + -4 - -3). Suppose -2*c + 2*x + 14 = j, -x - 3*x = -3*c + 19. What is the remainder when 17 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2374*h*j*t**2 + 317970*h*t**3 + 121*h*t**2 - 4*j*t**3 + 2*j*t**2 wrt t.\nAnswer: 1907820*h - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijij when four letters picked without replacement from {j: 3, i: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1946402524.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 7*o + 19*o - 1308898. What are the prime factors of o?\nAnswer: 137, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56382702303 - 20087183435886184\/356265. Let r = 82\/1755 - k. Let z = 2\/29 + r. Put 5, z, 2\/13 in ascending order.\nAnswer: z, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 + 27 = 53*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Solve 0 = -21*a + 26381 - 25541 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (14 - 0) + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = 5*z, -3*z = 4*y + 2 + 1. Suppose -37*s + 29*s + 6792 = y. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -62*k + 1. Let b be q(1). Let c be 11 + -86 + 1\/((-14)\/(-196)). Do b and c have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkcakckkkkkkaak. Give prob of sequence cka.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*i - 10*i + 43*i = 0. Let b be (1*-3)\/(6\/(-16)). Suppose -2*z + 3 = -z. Solve i = -b*l + z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87320 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -114\/11? (a) 32 (b) 3 (c) 5 (d) -0.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 19. Suppose -222*h - 81 = -213*h. Let y(s) = s + 10. Calculate h*y(u) - 4*q(u).\nAnswer: -u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = 2*v - 10, -3*q - 5*v + 24 = 0. Suppose -b = 2*b - 57. Suppose b = -4*p + 55. Solve 3*f + q*z = p, 4*z - z = 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 7888 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 131177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-528)\/(-880) - 1095\/75.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21366315 to the power of 1\/2, to the nearest integer?\nAnswer: 4622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12580 is divided by 484.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgugusgusgsougsu. What is prob of sequence sg?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:25 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3234613 - 3?\nAnswer: 3234610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 8, 5, 1, 1\/7, 1\/55 in decreasing order.\nAnswer: 30, 8, 5, 1, 1\/7, 1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005837541344 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -112*s**3 + 152*s - 17. Let n(q) = -37*q**3 + 51*q - 6. Let r(k) = -6*c(k) + 17*n(k). Find the second derivative of r(u) wrt u.\nAnswer: 258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*v*x - 2*m*v - 4*m*x**2 - 1864*m*x - v*x**2 + 4534*v*x + 6*x with respect to m.\nAnswer: -v*x - 2*v - 4*x**2 - 1864*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -25151817.\nAnswer: -25151807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1457674, -1457681, -1457710, -1457773, -1457882, -1458049?\n\"Answer: -2*c**3 + c**2 + 4*c - 1457677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8))**2*-1 - (sqrt(66)*1 - sqrt(66))\/sqrt(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 17*s - 40 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1939946 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 224*c. Let g(d) = -33*d**2 + d - 331. Determine g(h(w)).\nAnswer: -1655808*w**2 + 224*w - 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*p - 438*p = -3*t - 57, -17 = -p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-23)*a*a*a*a**(-13) assuming a is positive.\nAnswer: a**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2064, -8780, -20150, -36174?\n\"Answer: -2327*y**2 + 265*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18216 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/5)\/v)\/v*v\/v**(-1\/2))**(-47) assuming v is positive.\nAnswer: v**(-893\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*r - 8268 + 16548 - 8280.\nAnswer: -440*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 20) + -4 + (8 - (1 - (-4 + 2)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2557 + 2*o - 5581 + 2545.\nAnswer: 2*o - 479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51045614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Suppose 0*b - 8 = -4*j - 3*b, -j + q*b = -21. What is the remainder when (0 - 3)*39\/(-9) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 9 = -y - 13*d, -3*y = 5*d - 8. Let j = 301 - 136. Let r = -40 + j. What is the smallest common multiple of r and y?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 16*j - 27. Let t be k(-18). Let q = t + -186. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7086836*v**3 + 23482*v - 49?\nAnswer: 42521016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -16. Suppose -80597 = -k*s + 4*c + 159387, -s + 2*c + 79992 = 0. Round s to the nearest 1000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-32))\/(-2 - 0)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5717 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -19714\nAnswer: -1\/19714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 48. Suppose -3 = f + 2*s, 6*s + o = -3*f + 3*s. Let j(c) = 7 - c + 4*c - 1. Calculate j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 18. Let i = 3 + -2.9. Let v = i + 0.1. Which is the third biggest value? (a) s (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/309)\/(2\/12). Let c be (-4)\/(-14) + (6 - 702\/105). Sort 2, j, c in descending order.\nAnswer: 2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35488 is divided by 924.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11779*k - 138803069 + 138803069 - 11155*k**2 wrt k?\nAnswer: -22310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -338.130298 to two dps.\nAnswer: -338.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1\/8 (c) 2195 (d) -2\/3 (e) 1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -10. Let n be (-2)\/(-8) - (-252)\/r. Suppose 0 = 3*p - n + 1. Solve -2 = p*f + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k - 10. Let n be o(3). Let v = 133 + -128. Suppose 5*t - 8 = -2*f, 3*f + 0*t = -v*t + n. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*a**3 + 4 + a**3 + (a + 0*a + a)*(3 - 3 + a**2) in the form f*a**2 + k*a**3 + w + v*a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 13\/60*g**4 - 11*g**2 - 1\/300*g**6 + 0*g + 1\/50*g**5 - g**3 + 3. Suppose r(j) = 0. Calculate j.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -1.5, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 454343 - 4?\nAnswer: 454337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o - o**3 - 22*o - 5*o**2 + 16 - 3*o**2. Let b be d(-7). Let t = b + 16. Solve t*a - 6 = 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-679)\/42)\/97)\/(4\/(-15)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -1, 5, 1 in increasing order.\nAnswer: -7, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**3 + 6*p**2 + 7*p - 10. Let k(z) = 4*z**3 - 3*z**2 - 4*z + 6. Determine 7*k(u) + 4*l(u).\nAnswer: -8*u**3 + 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 22*a**2 - 240*a + 35. What is t(-19)?\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/15 + (-42)\/(-630))*4. Let o(x) be the second derivative of x**5\/20 + x**4\/3 - x**3\/6 - x**2 + x. Determine o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14598*q**3 + 65*q**2. Let n(r) = -5839*r**3 - 25*r**2. Determine 13*n(v) + 5*y(v).\nAnswer: -2917*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0 + 1\/195*r**6 - 72\/13*r**3 - 50*r + 18\/13*r**4 - 9\/65*r**5 + 0*r**2. Factor m(d).\nAnswer: 2*d*(d - 6)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:25 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(350)*-1)\/sqrt(10))\/sqrt(5) + 0 - (0 + sqrt(28) + sqrt(14)\/(sqrt(12)\/sqrt(6))))**2.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l)*(-4 + 4 + 2*l)*(-6*l**2 + 2*l**2 - l**2) + 6*l**4 - l**4 + 0*l**4 - 11*l**4 + l**4 - l**4 - l**4 + 5*l**4 - 2*l**4.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 352\/15 + -1421\/120. Let z be (-267838)\/(-9)*(-2)\/8. Let i = z + 7438. What is the common denominator of m and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*s**4*w**2 + 2*s**3*w**2 - 2*s**3 + 67*s**2*w**2 - 2*s*w**2 + w**2 wrt s?\nAnswer: 1008*s*w**2 + 12*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 37.3, -5 in increasing order.\nAnswer: -5, -0.5, 37.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -7188?\nAnswer: 7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.41 + 129.99. Let r = -122 + z. Let x = 10.812 - r. What is x rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 25*y + 74. Determine w(10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 916811607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**2 - 5*u - 23732. Let h(s) = -s**3 + 3*s**2 + 2*s + 5. Let v be h(4). Let a(x) = -x. What is v*a(t) - p(t)?\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**4 + 0*d**4 - 4*d**4)*(396*d + 846*d - 229*d) + (0*d - 2*d**4 + 0*d)*(d - 3*d + 4*d).\nAnswer: 2022*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 18. Let h(w) = w - 4. Let d(c) = 2*c - 9. Let b(m) = x*d(m) + 9*h(m). Let r(f) = 4*f. Determine b(r(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -28*u - 2. Suppose s + 4*p - 8 = 0, 2*p + 2 = 4. Let q be x(s). What is q rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 31*k + 2. Let u be o(0). Factor 0 - 1\/2*t**u + 0*t + 3\/8*t**4 + 1\/8*t**5 + 0*t**3.\nAnswer: t**2*(t - 1)*(t + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4992412.5 milliseconds to hours.\nAnswer: 1.38678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/5040 + n**5\/60 - 4*n**2. Let t(w) be the third derivative of d(w). Determine t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*y - 4, 2*y + 4*l - 4 = 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573499 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -427 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/30 - 14*z**3\/3 - 5*z**2. Find the first derivative of o(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 206566, 206565, 206564, 206563, 206562, 206561?\n\"Answer: -z + 206567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 5, -960?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3782 - 12*d + 3782. Let h(x) = 5*x**2. Give h(p(o)).\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.142 - -111.142. Let c = -111 + r. What is the nearest to -2\/7 in -4\/3, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2133450*u + 3650. Let q be x(-23). What is q rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 7. Suppose -p - 6 = -f, 0 = -3*f + 2*f + 4. Let q(o) = o + 6. What is p*b(x) - 3*q(x)?\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12486 - 124743\/10. Suppose 5*b - 4*p = 70, 0 = 5*b - 2*b - p - 35. Find the common denominator of 10\/2 - 295\/b and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = 0, -2*m - 141 = -5*o - 0*o. Let x = 50 - o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1931214553 by 11564159.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -m + 236, -3*l = -4*m + 5*m - 177. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26*d**2 - 2. Let t be m(-2). Let p = -70 - t. Calculate the greatest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 189*o**3 - 187*o**3 + 534*o**3 - 4*o**2 - 179*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -11*h + 710. Let d(o) = o**3 + 11*o**2 + 8*o + 1. Calculate the remainder when h is divided by d(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*m - 99*m + 400*m to a + f*m and give f.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*l + 8*l - 15, -4*l = -2*t. Which is the biggest value? (a) 2 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22742 - 11373. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10695376, -21390860, -32086342, -42781822, -53477300, -64172776?\nAnswer: -74868250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302427.\nAnswer: 3, 41, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/216)\/(-2 - 26\/(-6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8778 - 5669. List the prime factors of a.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58034793?\nAnswer: 3, 19344931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 7*z**2 - 2*z**2 - 2*z**2 + 16*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, 97, 764, 2047, 4150, 7277, 11632, 17419?\nAnswer: 24842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50823791 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.07126813?\nAnswer: 0.28507252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3977 + 3824 = 93*h, -2*f + 29 = -5*h - 0*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35433 - 4?\nAnswer: 35425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, e: 4, a: 5, x: 1, k: 1}. Give prob of sequence xm.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 2*z. Let b be 5\/4 + z\/(-8). Let d(w) = 4*w**2 - 3*w**2 + w - w**2 + 8*w**2. Calculate d(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232494631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 289*k**3 + 2*k - 1. Let t be -2 + (5 + 1)\/2. Let c be j(t). Round c to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*i**6 - 781212*i**5 + 3653*i**2 + 5436?\nAnswer: -2760*i**3 - 46872720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:52 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2.9, -4\/152623 in descending order.\nAnswer: -4\/152623, -1\/2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*((-5 - 2*b + 5)*(0 - 2 + 3) - 5*b + 4*b + 2*b)*(-4 + 0 + 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.4 (c) -5 (d) 0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3017187\/220660 + 4109\/295. Let q = -1\/187 + s. Sort q, 0.27, -0.4 in increasing order.\nAnswer: -0.4, q, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + w - 4*w)*(-8761*w**2 + 0*w + 8762*w**2 + 2*w + 3) in the form l*w + t*w**2 + v*w**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 29. Let g = p - 9. Is 0 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41019 and 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:15 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690270139 to the nearest integer?\nAnswer: 26273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b - 4. Suppose -o - 6 = o. Let t be (2\/(-1))\/(o + b). Solve -g - t = -5*w + 6, -g - 4*w = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.864 - -9.69. Let v = 0.174 + b. What is the nearest to 1 in 5, v, 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 1316\/42 + -30)*-3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -400 - -1262. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221)\/((-45747)\/(-2530))*90\/(-25).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. Let h = 10.5 + -8.8. Which is the third smallest value? (a) 4 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*y + v, 0 = 692*y - 696*y + 9*v + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * 122.\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g. Let y(c) = 8*c - 3. Let s(n) = -22*n + 8. Let j(v) = 3*s(v) + 8*y(v). What is j(m(k))?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, -18, -1\/148, -2, -1.3 in descending order.\nAnswer: -1\/148, -1.3, -2, -18, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/20*p**4 - 1\/10*p**3 + 0 + 0*p**2 + 3*p. What is r in t(r) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*c + 70, -28 - 19 = -q + 4*c. Let r = q + -31. Suppose -r*t - 6 = -14*t. Solve 0 = h - 0 - t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8*6)\/(-6))\/((-16)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 25*n - 20. Calculate the smallest common multiple of d(26) and 37.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(1\/2)\/w)*w*w)\/w)**(-27)\/(w\/(w*w**(-3\/4))*w**5))\/((w\/w**(-2\/7))**(-31)\/(w**(-2))**(-2\/15)) assuming w is positive.\nAnswer: w**(-25253\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.076314 rounded to the nearest integer?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from {b: 3, c: 2, w: 8, f: 7}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115833883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -12. Suppose b = -3*d + 82. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 2*j + 1. Let k be w(1). Let g(x) = 4*x - 10. Let l be g(k). Let n be (4\/l)\/(6\/27). Solve -n*r = 10 - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 346, 518, 690, 862, 1034?\n\"Answer: 172*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-23 + 95\/19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -143. Let q be (-33)\/(-6) - (-1)\/2. Suppose 2*r - q = -0*r. Solve -y + z = r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*d + 151*d - 302*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.4 - -27.4. Which is the second smallest value? (a) 2\/209 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*j - 52 = -4*u, -3*u + 2*j = -39. Let n = 8 + u. Suppose -5*y + n = -2*y. Calculate the highest common factor of 35 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.53279 millilitres in litres?\nAnswer: 0.00253279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n - 2*n + (24*n - 84 + 84)*(2 - 3 - 1) + (-4 + 3 + 2)*(-2 + 2*n + 2).\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 14.9. Suppose -3*z = -2*t + 7*t - 17, 0 = 5*t - 5. Which is the closest to 1? (a) z (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 8 = -0*d. What is the common denominator of -7\/3 and (-20 - d)*12\/60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-5))\/(-7))\/(-1)*(3 + -12)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 14) + (-4 - 1) + 4 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620000 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + y + 2*y + 4*y - 11*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -4751?\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) 3 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 4. Let b = 6 - -7. Let r be w(b). Let t(q) = 3*q**2. Let m(v) = 12*v**2. What is r*t(l) - 2*m(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15291 and 297.\nAnswer: 15588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6043 to two decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 5)*(3*l + 4*l - 6*l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**3 - 3\/2*s**2 + 0*s - 1. Factor a(v).\nAnswer: 3*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o - 4*o**2 - o + 1 - 7*o + 5*o + 2*o**3 + 2*o**2 in the form u + c*o + d*o**3 + f*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83\/2 - 44. Let s = 1.674 - 1.78. Let l = -0.106 - s. Which is the biggest value? (a) -2 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 4568*s**2\/5 + 13794*s.\nAnswer: -2*s*(s - 2299)*(s + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 1 + g**3 + 3 + 4*g**2 - 5*g**3. Let v be m(4). Let s be (-2)\/5 - 171\/(-15). Solve -4*y = -c - s, -3 = v*y + 4*c + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 174\/13*t - 172\/13 - 2\/13*t**2.\nAnswer: -2*(t - 86)*(t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/168 and 26\/21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 0.085.\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201263 is divided by 198576?\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:29 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29649 is divided by 14822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 + -208. Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/3 + 1)*-1. Suppose -h*d + 4*m + 28 = 0, -2*m = 5*d - 7*m - 40. Let 9\/2*t**5 + t + 53\/4*t**3 - 51\/4*t**d - 6*t**2 + 0 = 0. Calculate t.\nAnswer: 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 + 167 + -28 + -6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 + 753*n**2 - 3*n - 753 = 0.\nAnswer: -251, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 10. Give o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2539776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21.3306*-0.4\nAnswer: -8.53224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 14 - 11*g**3 + 2*g - 3*g**3 - 7*g**2 + 14*g**3. Let j be i(-7). Solve j = t - 5*d - 11, d + 0*d + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(5))\/sqrt(2) - (sqrt(252) + (2 + sqrt(252))**2).\nAnswer: -256 - 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 27003900 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 q when four letters picked without replacement from qxqxxxqxxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 9*s - 32. Let o(l) = -l**2 - 4*l - 16. Let p(x) = -9*o(x) + 4*u(x). Let z be p(0). Does 3 divide 108\/z - 6\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -177*c + 177*c - 15*c**4 - 4*c**3 - 2*c**4 + 4*c**3 + (0*c - 6*c + 10*c)*(-2 - 2 + 5 + c**3).\nAnswer: -13*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239055287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-940)\/12*(-18)\/15 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1772054 + 886026 - 3*y**2 + 886028.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d + 5. Let l(a) = a**2 + 5*a + 4. Let h be l(-4). Let o be 8*(h + -1)\/2. What is the units digit of m(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44999 is divided by 1187?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -499*o**2 - 24*o + 9. Let b(c) = -499*c**2 - 27*c + 10. Determine 8*b(j) - 9*u(j).\nAnswer: 499*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 32*j**2 + 566*j + 11. Let p(g) = -16*g**2 - 281*g - 6. Let z(a) = -6*d(a) - 11*p(a). Find the second derivative of z(l) wrt l.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -164, -242, -320?\n\"Answer: -78*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6065 - -6087. What is the remainder when 477 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167304 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: Let m(q) be the second derivative of q**3\/3 - 2*q**2 + 6*q. Let d be m(6). Suppose -52 = -2*f - d. Calculate the highest common divisor of f and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 728 - 329. What is the units digit of 5\/(-20) + v\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10205, 10878, 11537, 12176, 12789?\n\"Answer: -a**3 - a**2 + 683*a + 9524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 12. Determine b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(432) + 0)*6*2 + (-5 + sqrt(432) + 1 - (2*sqrt(432) + -1)))**2.\nAnswer: -2112*sqrt(3) + 52336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82670 and 245?\nAnswer: 578690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 + 4067\/15. Let f(n) be the first derivative of -1\/3*n**4 - 6 + 2\/3*n**2 + 0*n**3 - 2\/3*n + b*n**5. Let f(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-40843968\nAnswer: 122531904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - -101000011001010011011010?\nAnswer: 101000011001010011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 747657700 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -58*m**4 - m**3\/3 - 3*m**2\/2 - 5*m - 53. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010958 rounded to four decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8830 - 9*n**3 - 3*n**5 - 8830 + (-n + 5*n - n)*(-2*n**2 + n**2 + 3*n**4 - 4*n**4).\nAnswer: -6*n**5 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 372*n**2 + 9085*n = 0. Calculate n.\nAnswer: -23, 0, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 124, 123, 122, 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/7)*u*u**(-25) assuming u is positive.\nAnswer: u**(-167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 3*x - 3. What is d(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose -6 = -3*f + 12. What is the third derivative of 3*s**6 - s**f - 2*s**c + 0*s**2 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.597068 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -189. Let o be (9\/5)\/((-15)\/m). Solve v = -2*v + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -52, -82, -114, -148?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 86. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 5999155*s\/2 + 59991525\/4.\nAnswer: (s - 11998305)*(s - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 - 4\/(-6). Suppose 0 = 4*i + r - 5, 0 = 4*a - 2*i - 26. Calculate the lowest common multiple of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -d + 13, -4*d + 36 = -6*f + 10*f. Put 1\/12, f, 1\/27, 5 in decreasing order.\nAnswer: 5, f, 1\/12, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 7. Let t(v) = -v + 1. Let b(s) = -g(s) + 6*t(s). Let n(m) = 8*m + 5. Let c be (2 + 1)\/((-2)\/(-6)). Give c*b(h) + 2*n(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/277?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 3*o**3 + 10771 + 10772 - 32330 + 10761 + 4*o**2.\nAnswer: -3*o**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j + 15. Let p be 3 - (4 - (-12)\/(-3)). Let h be p + 35\/(-5)*1. What is the tens digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40684523200 to the nearest 1000000.\nAnswer: 40685000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3527, -0.1331, -2, 1\/5 in descending order.\nAnswer: 3527, 1\/5, -0.1331, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -313 * -62809\nAnswer: 19659217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 4, b: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2488 = 3*k - 22636, -4*r = 0. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*(g**(-1\/2)*g)\/g)**(-7\/3) assuming g is positive.\nAnswer: g**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101210011 (base 3) to base 14.\nAnswer: -132d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 + 10*o + 2. Let b(m) = 13*m**2 + 25*m + 5. Let v(d) = -2*b(d) + 5*u(d). Let x(q) = -q - 5. Calculate x(v(n)).\nAnswer: -4*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 12*g - 90.\nAnswer: -2*(g - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-24))\/(11*(-256)\/31328)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.38695 and -0.12.\nAnswer: -0.50695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 14. Suppose -f*y + 7*y = 820. What are the prime factors of (-1)\/(-3) - y\/(-3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -37. Suppose 0 = -m*o - 9*o + 645. Suppose 12 = 3*b - 36. What is the remainder when o is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 3*p - 3*p)*(0*p + p + p) - 2 - 2*p**2 + 2 + (46 - 13*p - 46)*(2*p + 0*p + p) to the form d + a*p**2 + y*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -1. Let p = 85 + b. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -191, -752, -1687, -2996, -4679, -6736?\n\"Answer: -187*a**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -26*d**2 + 1034*d + 244. What is i(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-62)\/(-3) - (-20)\/(-30) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + 6 + 1 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let s = 3 + i. Suppose 0 = 2*f - 3*u - 39, -4*f - s*u + 3 = -20. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x - 4*x + 2*x + (2*x - 4*x + 4*x)*(-3 + 4 - 3))*(3*x + 0*x - 2*x)*(-x + 2*x + 0*x)*(-3 + 2 + 0).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and 8.857451.\nAnswer: 8.767451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 654165233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 39428886?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.05 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0*b + 0*b + b**2. Let d(r) = 2*r. Let a = 12 - 14. Let i(t) = a*k(t) + d(t). What is the second derivative of i(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 5*v - 1. Let d be b(2). Let x = d - 9. Let h(p) = -p - 4. Determine h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, l: 1, o: 1, f: 1, i: 6}. Give prob of sequence ilo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 42 = 58. Let a(s) = -23*s + 27. Is a(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2.22.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07500096 - -0.075. What is y rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32553\/17 + 1915. Which is the fourth smallest value? (a) 5 (b) 3 (c) x (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -284 (b) -4\/347 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.49 - 13.3. What is b rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 0.21?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -20. Solve 2*u = x*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -3*l**5\/10 - l**4\/12 + 2*l**3\/3 + l**2\/2 - 18*l. Let x(m) = -7*m**3 - m**2 + 5*m + 1. Calculate 5*c(u) - 4*x(u).\nAnswer: -2*u**3 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixidxxixidxxix. Give prob of sequence iii.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -508910*b**2*t + b**2 - 5949*b*t - 3*t - 6 wrt b?\nAnswer: -1017820*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22135147841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -13506580?\nAnswer: 2431184.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10727*s**2 - 6921*s + 234. Let a(w) = -8045*w**2 - 5191*w + 182. Let r(b) = 9*a(b) - 7*x(b). Find the second derivative of r(q) wrt q.\nAnswer: 5368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 6*h + 5. Let d be r(-6). Suppose -3*o = -2*o + 4*k - 18, -5*k = -2*o - 16. Suppose i - o = -0. Solve i*a + 1 = 6*f - f, d*a - 6 = 4*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**2 - k*o**2*p**3*s + k*o**2*s - 38*o**2*p**2 + 5*p**3*s wrt k.\nAnswer: -16*k - o**2*p**3*s + o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/9)\/(-264)*29\/(725\/(-1100))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305857*o*y + 268657*y with respect to o.\nAnswer: -305857*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))**(1\/25))**(-3\/16) assuming f is positive.\nAnswer: f**(-3\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (6*(sqrt(720) + -1) - sqrt(720)) + -1 + 4 + 0 + -3)**2.\nAnswer: -720*sqrt(5) + 18036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 - 49068*n**3 - 209982252*n**2 - 381951794020*n - 252755952748512 = 0.\nAnswer: -5496, -2257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*n = 559, 5*n = a - 64 - 31. Suppose -39*o - 491 = -686. Calculate the highest common divisor of o and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 35173984?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-2 + 0)*36\/(-8). Let z(i) = -i**3 - 6*i**2 - 2*i + 6. Let y be z(-6). Calculate the highest common factor of y and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/6 + -1 + -6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3\/4, 3, 14\/3 in increasing order.\nAnswer: -3\/4, 3, 14\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 + 86 = -6*s. Let w = s + 42. Find the third derivative of 19*l**2 + l**w - 4*l**6 - 4*l**6 wrt l.\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 + -3.8. What is the closest to o in 3\/4, -5, 4, -19?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3)*13884\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4 + 3 + 2 - 3*q + 0. What is h(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/8, 3, -12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*(p\/p**2)\/p)**38*((((p**1\/p)\/p)\/p)\/p*p)**14\/((p*p\/((p*p*p**(2\/9)*p)\/p*p*p))\/p**(-2)) assuming p is positive.\nAnswer: p**(-1276\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -4*g - 24. Let i(o) = -2*o**2 - 8*o + 6. Let m(w) = 5*w**2 + 25*w - 18. Let x(p) = 8*i(p) + 3*m(p). What is the tens digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6543009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 - 7*z - 21. Let l be ((-2)\/(-7))\/(94\/3290). Calculate v(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 + z**2 - z - 1. Let q be i(-1). Suppose 0 = -q*x - 0 + 25. Let j be (-10)\/(40\/36)*-5. What is the greatest common divisor of j and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljbjjblljljjl. Give prob of picking 2 b and 1 j.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let h be 2*(-1)\/(3 + w). Is 0.3 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/69 and -14\/993.\nAnswer: 22839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267791997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2888, 5778, 8668?\nAnswer: 11558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/99 - (-20120)\/18. Let m(u) = -21*u**2 - 7*u + 5. Let t be m(5). Let s = t + n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r + 3*j - 0, -5*r = -4*j + 10. Let s be r*(279\/(-15))\/((-6)\/(-15)). Let f = 96 - s. Solve -3*m + 21 = -f*a, -m - 4*a + 6*a + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*a = 86, a - 9 = 5*b + 57. Let p(t) = -113*t + 57. Is p(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 = -6*d - 554. Solve d*p = 6*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 31. Let i = 64 + v. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2247a - -2a?\nAnswer: -22450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -85. What are the prime factors of (1 - 5 - -2)*(-856 - t)?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 2112?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 8*f**2 - 19*f - 46. What is p(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1448 - -1460. Solve 0*w + 48 = z*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llg when three letters picked without replacement from {l: 2, h: 2, g: 1, q: 4}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39729 = -184*o + 225*o. What are the prime factors of o?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:33 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -620 - -1242. Suppose 0 = -28*x + 29*x - q. What are the prime factors of x?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsbjsqbbjb. What is prob of sequence qj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 3430 = -18*b. Calculate the common denominator of 6\/33 - b\/220 and -2*73\/4 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 24*h + 336. Give x(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-270)\/(-27) - (-1 + 3). Solve -w - 2*q + l = 3, 2*w - q - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6298550131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - 13. Is (-15)\/60 - h\/8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -6. Let g = c + -12. Let o = -0.5 + 0.5. What is the nearest to 2 in o, g, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/18*(-1)\/(-3*(-4)\/(-12)). What is the nearest to 0 in 8\/5, i, 2, 14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 77052387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.947 - -0.053. Let f = 25 + -24.7. Which is the second smallest value? (a) f (b) w (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3489217 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 71995.04um?\nAnswer: 7.199504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)**0)**(-2\/15) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102112101 - -101002?\nAnswer: -2102011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 505 + 489, 16*y = -2*y - x - 58 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/6 + (-3)\/6. Find the third derivative of -j*k**2 + 12*k - 12*k - 23*k**3 wrt k.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 - 10*g - 1. Calculate o(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(51)\/sqrt(48))**2 + -2.\nAnswer: 121\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-25) + (-2 - (-38)\/10). Suppose 346 = a*m - 0. List the prime factors of m.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/2791 - 8889\/8509759. Let a = 11969\/692123 - x. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-50)*4*(-70)\/(-28)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -49?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 576, 0 in ascending order.\nAnswer: -4, 0, 1, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 295 (b) 0.0578 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/15 + 232\/(-60). Put 5, -10, -3, r in decreasing order.\nAnswer: 5, -3, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, -46, -0.4, -0.2, -0.1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4035 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-39)\/(-26))\/((-6)\/40). Let a be 17952\/x - (-4)\/20. Is a\/(-11) - 44\/242 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2607*g. Let s(h) = -h - 75. Let w(r) = -4*r - 250. Let p(a) = -10*s(a) + 3*w(a). Give m(p(k)).\nAnswer: 5214*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18524 divided by 3?\nAnswer: -18524\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 204a + -140a6?\nAnswer: -12057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5))**(-26)\/(p\/p**0*p*p**(-9)))**(-22\/7) assuming p is positive.\nAnswer: p**(-3014\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3\/2. What is the common denominator of -17\/7 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-67)\/(-5) - (-4)\/(-10). Suppose 5*d + r + 37 = 0. Let u = d + 16. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15.88, -5, -0.5, 2\/17?\nAnswer: -15.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -8 + (13 + (-3 - 22) - 42).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 6*d - 2*d + (1 - 1 + 2)*(2*d + 0*d - d))*((2*d + 2*d - 7*d)*(-20*d - 1127 + 1127) + 3*d**2 + 0*d**2 - 2*d**2).\nAnswer: 488*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 543 - 537. Let v(x) = -47*x**2 + 8*x + 22. Let l(q) = q**2 + q + 1. Let o(w) = b*l(w) - v(w). Find the second derivative of o(f) wrt f.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 7 = 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**2 + 8*q + 4. Let z(u) = 13*u**2 - 14*u - 7. Let v(r) = 7*b(r) + 4*z(r). Let j(x) = 27*x**2. Give j(v(t)).\nAnswer: 2700*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(63) - sqrt(63)) + 0)*-1 + 2)*-1 + 4)*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4042821656 to the nearest integer?\nAnswer: 63583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g - 5. Suppose 1 + 19 = 4*k. Let s be r(k). Solve -4*d + 6*d = -s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 65*s - 8. Let x(k) = 132*k - 19. Give 9*q(n) - 4*x(n).\nAnswer: 57*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/7 - 372*g**2\/7 - 6912*g\/7 + 311040\/7.\nAnswer: -3*(g - 20)*(g + 72)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -6) + -10 - 0. What is the common denominator of (1*r\/6)\/((-116)\/(-11020)) and (1 - 1) + 118\/(-96)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1462)\/(-6936) + 1 + 98\/(-102). Find q, given that q**2 + 0*q**3 + 0*q - 3\/4*q**4 - w*q**5 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, -1, 1079.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265194 is divided by 224.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + 3*sqrt(72)*-2*2*3)**2.\nAnswer: 2160*sqrt(2) + 93337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 2 + 0*c**4 - 9 - 2*c**4 + 6 + 4*c**2 in the form s + y*c + h*c**4 + a*c**2 + v*c**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 + -177. Let f be r\/(-25) + ((-3)\/(-1))\/1. Suppose -3*z + 7 - 1 = 0. Calculate the highest common divisor of f and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -33*f - 8. Let x(p) = 17*p + 4. Calculate -4*t(s) - 7*x(s).\nAnswer: 13*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*a = 229, -3*a + 6*a = -15. Suppose 4*i - 108 = -4*n, -d = -5*n + 2*n - i. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 5*q + 82. Let t = q + 57. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {r: 1, b: 5, j: 6, x: 1, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.205 + 9.895. Let r = 10 - i. Sort -2, r, 0 in increasing order.\nAnswer: -2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 0) + (-23 - (6 + -37)) - 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 467*s**4 + s**3 - 1990*s wrt s?\nAnswer: 5604*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 51*x - 47. Is k(42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 110205 + d + 110205.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -1\/2 (c) 0.46 (d) 0.11 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, 10\/5239?\nAnswer: 10\/5239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (369978*o - 369978*o - 585*o**2)*(8*o + 9*o + 18*o) to r + y*o + t*o**3 + z*o**2 and give t.\nAnswer: -20475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 1\/3, 306, 3\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4\/5)\/((-7672)\/(-840) - 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170.2, 0, 2\/3, -1\/4, 0.03 in decreasing order.\nAnswer: 170.2, 2\/3, 0.03, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 - 33*j**2 - 411*j - 855 = 0.\nAnswer: -5, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400749677 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: Let x be (4 + (-55)\/10)\/(15\/(-30)). What is the closest to x in -0.1, 5, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -2\/43 (c) 1\/4 (d) -893\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 383*h**2\/2 + 423*h + 73. What is the derivative of z(t) wrt t?\nAnswer: 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31003 is divided by 860.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -20 = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2907 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113323150 (base 6) to base 2\nAnswer: 1000000111000101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 284423220 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 11*w**2 + 10*w - 31. Let d be t(7). What is the hundreds digit of 2*d - (1 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 3*q - 3*q + (5*q - 4*q + q)*(-73 + 10 + 181).\nAnswer: 235*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -37533?\nAnswer: 37533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(7\/3)*l*l**(13\/3)*l*(l\/l**(-6\/11))**(-2\/29) assuming l is positive.\nAnswer: l**(1880\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/27*(-6)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -3. Let m be (-1344)\/(-35) + p\/(-5). Let i = 14 + m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j**2. Let v be 1\/((9\/(-3))\/(-9)). Suppose -4 = -v*h + 2. Let f(p) = p + h*p - p. Calculate f(d(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**(-5\/13)*h*h*h\/h**(-1\/8)*h**8 assuming h is positive.\nAnswer: h**(1277\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -0.05231?\nAnswer: -0.0177854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50976988.\nAnswer: 2, 12744247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 116, 3 in descending order.\nAnswer: 116, 3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a75 (base 14) in base 12?\nAnswer: 5b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/6 - 2\/(-4). Suppose -g*d = -9*d + 60. Calculate the remainder when 163\/5 + (-12)\/(-30) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10402, 2\/17, 3 in increasing order.\nAnswer: 2\/17, 3, 10402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -750517, -1501024, -2251531, -3002038?\n\"Answer: -750507*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**2 + 26*s + 17. Let h(q) = -2*q**2 + 9*q + 6. Let x(f) = 11*h(f) - 4*y(f). Calculate x(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/22 or 0?\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 58 - 162*t + 39*t - 219*t.\nAnswer: -342*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2670774\/102762 + (-52)\/2.\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose u*z - 4*t - 7 = -3*t, -5*z - 3*t + 34 = 0. Solve -4*q - 19 = -2*q - 3*n, z*q - 5*n + 40 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -367 + 367 - k. Let f be h(-4). Let g be (5\/1 + -4)*5. Solve -r - 4 = r - 5*t, g*r - f*t - 7 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 15*v**2 - 15*v - 19. Let m be q(-14). Let x = 2 + m. Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11500 greater than -11350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1539 divide 268127658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 6*r + 5. Suppose 2*c = -4*d - 36, -c + 6*c + 3*d + 118 = 0. Let f = -21 - c. Let b be w(f). Solve b = -i + 2*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 28*r**2 + 73*r - 45. Let v be p(-25). Solve -2*n + 2*d - 12 = 7*d, v*n - d + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*d, -4*j = d - 2. Let y = 1.9 - -0.1. Let c = 1 + y. What is the second smallest value in -0.2, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.07 - -0.07. Let x = n - 0. Suppose -6 - 3 = 3*s. What is the smallest value in x, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14807 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 4, g: 4, s: 1, d: 1, l: 1}. What is prob of picking 1 b, 1 s, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-6)\/(-3) - 3). Sort -5, 4, u in descending order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1315 + 1313. Let r be -1 + (-16)\/20*(-20)\/24. Which is the closest to f? (a) r (b) 0 (c) -1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 191. Let j be w(-14). Let y(t) = 6*t**3 - 2*t**2 + 2*t - 1. Let i be y(1). Solve -u = -5*u + 3*x - 3, 0 = 3*u - j*x + i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - 5*i)*(-4 - 7 - 15).\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - o**2 + 228 + 3*o**2 - 458 + 232. What is w(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 5410?\nAnswer: -5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2793 + -2238. Calculate the remainder when d is divided by 94.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 13*m = 531842 - 4073233. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 26 + 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + y + 11732 = -1624, -2*y - 8008 = -3*l. Let k = -272 + l. What is k rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2323 (base 5) to base 15\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174.01 - 173. Let t = -0.2 + l. What is t rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z - 1. Let q be t(-3). Let b(i) = -2*i**2 - 37*i - 49. Let d be b(-17). Solve -q*k - 10 = -d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 928\/307 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 113511*a.\nAnswer: -3*a*(a - 37837)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 2*f = 54. Suppose -n = f*k - 6, -4*k + 7*k - 15 = 2*n. Let p(t) = -4 - 4*t**2 + 3*t + 4*t**2 + t**2. Determine p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**2 - 50*y - 365 - 6*y**2 + 50*y to the form x + c*y + f*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1033, -2064, -3095, -4126?\n\"Answer: -1031*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:02 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3)*-38*(-77)\/((-24486)\/(-265)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-16)\/(-20) - 1). What is the common denominator of (-130)\/4*(-4)\/(-8) and (q - -3) + (-57)\/33?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2262212*z**3 + z**2 - 86828*z - 14 wrt z?\nAnswer: 13573272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 877a98?\nAnswer: 877a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 56 = 4*w, -4*b - 1 = -w - 5. Do -67 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = -0*c - 5*c, -2*c + 28 = 5*k. Suppose -s + 0 = -l - k, 0 = 3*l + 3. Suppose d - 188 = -s*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 7) to base 14.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7500\/11 + 682. Which is the nearest to -2\/5? (a) -1 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Suppose -1 = o*i - 41. Let n(k) = 4*k - 7. Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 1. Let y = 11 - l. Suppose 0 = y*d - d - 385. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8268 - 8244. Solve 0 = -x - 2, -75*d + 71*d - 2*x = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 22. Let d = 8 - 21. What is the lowest common multiple of 10 and x(d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 4}. Give prob of picking 1 h and 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p + 3. Let n be 2 - (1\/1 - p). Let q be ((-54)\/(-12))\/((-1)\/2). Sort n, q, -1 in ascending order.\nAnswer: q, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -23, -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 + 1119 = 9*m. Suppose 2*s + 2*w = m, -33 = 2*s + 3*w - 107. Let t = -78 - -374. Calculate the greatest common divisor of s and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -f - 4, 48 = 2*f + 3*q + 20 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14270 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2. Let i(j) = -j - 1. Let z(p) be the second derivative of -5*p**3\/6 - 7*p**2\/2 + 4*p. Let b(c) = 35*i(c) - 5*z(c). Determine b(y(w)).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((195\/13)\/15). Let t(b) be the first derivative of c*b**3 + 0*b**2 - 3 + 0*b + 1\/20*b**4. Factor t(p).\nAnswer: p**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -10. Let w = -2641 - -2619. Which is the biggest value? (a) 2 (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24226011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 54 + 137 = 21*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 34. Let q be -2 + b + -3 + 47. Let d = q + -19. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1873689 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/90*l**6 + 0*l**2 + 0 + 0*l**3 - l + 1\/15*l**5 + 1\/9*l**4. Factor i(r).\nAnswer: r**2*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from aacvekvackcckcecwee.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s + 9*s + 7*s + 2*s as o*s + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3891 or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -705484\nAnswer: -21164.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 107?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 92 = -8*t - 2*h, 2*h = -5*t - 57 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 553 + -456 + (-79 - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 1, o: 6, w: 2, u: 2}. What is prob of picking 1 u and 2 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129754 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 16*q**2\/7 + 10*q\/7 + 4.\nAnswer: 2*(q - 7)*(q - 2)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 11. What is the lowest common multiple of 6 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + -3 - (4 + -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 5*y - 43. Let f be i(-16). Let x = f - 1195\/9. Factor -4\/9*j + 2\/9 + x*j**2.\nAnswer: 2*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633 divided by -801\nAnswer: 211\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -76, 3 in ascending order.\nAnswer: -76, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c**3 - 2*c**2 + c. Let o(v) = -v**2 + 33. Let b be o(0). Suppose 2*r + t = 9, 4*r + 0*r + 5*t - b = 0. Suppose -5*z - r = -7*z. Determine s(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 259525 = 9*u - 129066. List the prime factors of u.\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/4 + 3*a**4\/4 + a**3\/3 + 8*a. Let y(f) = 2*f**3 + 4*f**2 + f. Give -4*m(s) + 9*y(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8330 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 869 - 2606\/3. Let p = 14.9 + -15. Which is the nearest to l? (a) -2\/11 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = 15*l + 48. Is l\/(-8) + (-14301)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 4 + (7 - 1) + (-189 - -165).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(55\/154)\/(10\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 236 - 100. Let o = 88 + z. Suppose 0 = -l + 169 + o. List the prime factors of l.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3371 is divided by 2798?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 2, 2\/11, -3\/10, 0.12, 1\/21?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4830272137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:07 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 - 289*l**2 + 46*l + 96.\nAnswer: (l - 48)*(2*l + 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h)\/h**(-2\/29)*h**(-14)\/h**12 assuming h is positive.\nAnswer: h**(-404\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**7\/16380 - j**6\/2340 + j**5\/260 - j**4 + 12*j. Let i(t) be the third derivative of c(t). Solve i(d) = 0 for d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*f**3 - 2*f + 5 - 10 - 146*f**3 + 15*f**2 + 284*f**3 + 6 in the form n + a*f**3 + z*f**2 + b*f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.81499 or 1.4?\nAnswer: 3.81499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h**2 + 2*h - 5. Suppose 0 = -3*n + 6, -36*w + 27 = -41*w + n. Give g(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 + 514*h + 410.\nAnswer: 4*h**3 + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -427 + 331. Let w = u - -66. Which is the smallest value? (a) 1 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.9 or 0.71521?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6784000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 0, -2*g + 10 = -2*t - 36. Let k = t + 3. Let b = 91 - k. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/12*4)\/(-1). Let m = 240.7 - 256.7. Let y = -3 + 2. Which is the smallest value? (a) y (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/4*8\/(-6). Suppose 0 = 5*p + 9 + f. Suppose -36 = -s - 11*s. Sort p, 5, s in ascending order.\nAnswer: p, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105950 <= -105950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2150141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 - 12*z**2 + 1059*z - 5796 = 0.\nAnswer: -23, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -1165*z**2 - 3042. Let h(b) = -2*b**2. Give h(t(x)).\nAnswer: -10857800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1142, 23956, 2\/5?\nAnswer: 23956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*n**4 + 43*n**4 - 29*n**3 + 74*n**2 + 47*n**4 + 8*n**3 wrt n.\nAnswer: 48*n - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*p + 216*p + 30*p**3.\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -296, -140, 16, 172, 328?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1128 and 3418592.\nAnswer: 10255776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 19*f = 0. Suppose -3*o + 13 + 8 = f. Solve 3*w + o + 5 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 0*v + 0*v)*(-94*v + 1747*v - 89*v + 83*v + 705*v).\nAnswer: 2352*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 + x + 4. Let w(v) = -v**2 + 1. Let i be (2 + 2 - -1) + -1. What is i*w(j) - c(j)?\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 28*o + 4. Let g(p) = 2*p**3 + 2*p**2 - p. What is the smallest common multiple of o and g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -112. Put n, 7, 2 in descending order.\nAnswer: 7, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(-9)\/27. Suppose -3 = -g + 2. Let d = -9 + g. Which is the third smallest value? (a) d (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in -1, 0.2, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 10) in base 15?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b1 (base 15) to base 11\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*h**3*j - 717*h**3 + 12*j**4 wrt j.\nAnswer: 10*h**3 + 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -208, -403, -582, -733, -844, -903, -898, -817?\n\"Answer: 2*c**3 - 4*c**2 - 197*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/9 + 31400*z\/9 + 123245000\/9 = 0.\nAnswer: -7850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-2*-2)\/sqrt(11)*5 - (sqrt(637) + -1*-1*sqrt(637) + sqrt(637) - ((1 + sqrt(637) - sqrt(637)) + -3 - sqrt(637)))**2.\nAnswer: -10196 - 92*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - y**2 + 3*y - 4. Let g be q(-3). Suppose 0 = -u + 3*u - g. What is the smallest common multiple of u and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/(p*(p\/(p*p**0))\/p)*p**3*p**3*(p**(2\/3)*(p\/p**(1\/6))\/p)**(3\/2) assuming p is positive.\nAnswer: p**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15fb (base 16) in base 3?\nAnswer: 21201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 4. Let s be -8*(0 - 1) + -2. Let m(z) = z**2 - 3*z - 6. Let n be m(s). Suppose 2*u = -u + n. Let j(y) = -y + 5. Give u*j(l) + 5*a(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose -o*x - 3*n = n - 142, 0 = -3*x - 5*n + 210. Let u = 97 - x. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*p - 22, -p - 1 = b - 0. Suppose 4 = 4*c + 4*s, 2*s = 6*c - b*c - 22. Let u = 8816 + -8813. Solve -5*v = -k - 3, k + 5*v - c = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975813827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + j**2 + 0*j**2 + (-1 + 1 - 2*j)*(2*j + j - 5*j) + 6*j - 13 + 10*j + 3*j**2 - 19*j to x + s*j**2 + a*j and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 40*b**2\/7 + 438*b\/7 + 1620\/7.\nAnswer: -2*(b - 10)*(b + 3)*(b + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*y**2 - 5*y**4 - 14*y**4 - 9*y**4 + 5*y**4 wrt y.\nAnswer: -552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -190.65979?\nAnswer: -324.121643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/(a\/(a\/(a*a**(-5)*a)))*a)*a**(-1\/8)*(a\/a**(2\/19))\/a*a**(5\/4)*a*a assuming a is positive.\nAnswer: a**(3\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 36.131, -4, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4\/4 - 355*s**3\/4 + 5935*s**2\/4 + 12955*s\/4 + 1665 = 0. What is s?\nAnswer: -1, 36, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -9*p**2\/2 + 12. Let u(c) = 3*c. Determine u(m(l)).\nAnswer: -27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302647.274 rounded to the nearest one thousand?\nAnswer: 2303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 30. What are the prime factors of (-4000)\/(-18) + q\/36?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 69\/2, 123, 0.4, -1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166 and 122288.\nAnswer: 10149904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 169?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*p + 116*p - 355*p + 36*p**3 + 116*p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 2 - 8, 0 = 4*o + 135*p - 131*p - 24 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 11\/3. Suppose -11 = 4*j - t, 37 = -2*j - j - 5*t. Let m be (3\/(-8))\/(6\/j). Put s, m, -0.4 in decreasing order.\nAnswer: m, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -86. Suppose -s*j = -57*j + 780. Suppose 142 = 3*d + t + 4*t, -t - 190 = -5*d. What is the greatest common factor of j and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.48027 + 0.49033. Let p = v - -0.0294. What is the fourth biggest value in -0.4, 1\/2, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -0.08. Let i be 140\/180*(-4)\/(-14). What is the nearest to -0.1 in w, 7, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106932.5 and 0.3?\nAnswer: 32079.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 19*t**2 + 31*t + 11. Let o be d(-17). Let f = -12 + o. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-5\/2))**26\/(k*k**4*k**6*(k**0)**(-1\/14)) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + f = -7*o + 6181, 4*f - 12 = 0. Let j = o + -416951\/135. Find the common denominator of -79\/8 and j.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/360 and 173\/960.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 61*y + 918. Let v be f(27). Solve v = 44*s - 28*s + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -50, -136, -316, -626?\n\"Answer: -6*m**3 + 7*m**2 - 7*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - m**4 - 2*m**4 + 0*m**4 - 4*m**4 + 2*m**4 + (-4*m**3 + 6*m**3 - 3*m**3)*(0 + 0 + m) - 5 - 3 + 2*m**2 + 6*m**4 + 6.\nAnswer: 4*m**4 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36626795 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 212 in 4\/3, -0.3, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let y(m) = -176229*m. Calculate y(l(t)).\nAnswer: -176229*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*p + 5*v - 27, p - 41 = -8*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*o - 25. Suppose o = -m, v - 5*v - 3*m = -7. Solve 0 = 5*w - 4*x + 9, 3*x - 5 + 37 = -v*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 + 524*o**4 + 7855*o**2.\nAnswer: -60*o**2 + 12576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkmzzkmmxm. What is prob of picking 1 z, 1 m, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 10*b + 60 = 0. Sort b, -4, -31, -2.\nAnswer: -31, -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 92*q. Let s(n) be the second derivative of n**3 - 464*n - 1. Give s(j(h)).\nAnswer: -18*h**2 + 552*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j*k**3*o + j*k**3 - 4*j*k*o - 176*j*k*u + 53*j*k + 4*k**3*o*u - 5*k**3*u wrt u?\nAnswer: -176*j*k + 4*k**3*o - 5*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14004894227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 624 = -71 + 7 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -10. Let z be 3\/5*((-12129)\/(-27) + 1). Let q = 270 - z. What is the closest to -2\/5 in q, p, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4 = -5*g, 3*g - 47*c + 42*c = 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/8 + d**3\/2 - 8*d**2 - 13. Let l(s) be the second derivative of j(s). Determine l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from sfx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*y**3 + 60*y**3 - 100*y**3.\nAnswer: 45*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p**2 - 29*p**2 - 22*p + 27*p + 22*p. Let j(i) = 3*i**2 - 2*i. Give 27*j(q) + 2*n(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -42. Let s be 6\/h + (-36)\/(-7). Let j = -8 - -13. Solve -12 = -y + j*y + 2*r, -2*y - s = -2*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13724\/(-6716))\/((-13)\/299)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 6*g**2 - g. Give p(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1\/6))**(-49)*(h\/h**(-2\/5))**12 assuming h is positive.\nAnswer: h**(-2681\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -2 + 2 + 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/26880 - s**7\/6720 + s**6\/480 - s**5\/12 - 7*s**2. Let n(y) be the third derivative of u(y). Factor n(r).\nAnswer: -3*(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/39))**(-38) assuming l is positive.\nAnswer: l**(-1520\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 10*z - 17. Let n be l(-7). Suppose 2*p + 64 = 5*v, n*v - 2*p - 44 = 2*p. Let b = v + -11. Solve -9 = b*x + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291.55 + -172. Let s = p - 119.55005473. Round s to six decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 474*g + 9*g**2 - 928*g + 465*g in the form f*g + z + m*g**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 322 = -2*w, -4*g - 5*w = -6*g + 322. Is 52 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 924*y**2 + 84845*y - 822822.\nAnswer: (y - 822)*(y - 91)*(y - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4056 (base 7) in base 8?\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112312330 (base 5) in base 9?\nAnswer: 4564213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 73*k**2 + 4*k - 5. Let c(j) = 109*j**2 + 6*j - 7. Give 5*c(m) - 7*h(m).\nAnswer: 34*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/3 + 13*f**2\/2 + 1. Let c(x) be the second derivative of z(x). Let p(j) = 6*j. Determine c(p(s)).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3290, 3288, 3286, 3284, 3282?\nAnswer: 3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160539 is divided by 22495?\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.7, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9293 - -9298. Solve -u*f = -s - 0*s + 22, -3*f - 16 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -8*u**3\/3 + u**2 - 17*u - 5. Differentiate x(b) with respect to b.\nAnswer: -16*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2155 - 803. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - u**2 - u + 2. Let k be l(3). Let d be -76 - (-13)\/(39\/30). Let b = d + k. Solve -6 = 2*v, 0*v - 4*v + 8 = b*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-1 - -13)*(-17)\/34. Suppose -j*w + 7 = 4*a - 41, -w + 39 = 4*a. Calculate the remainder when 34 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/462 and 79\/2604?\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 5*x**2 + 0*x**2)*(x + 44 + 41 - 59).\nAnswer: -2*x**3 - 52*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l + 11*l + 4*l - 68*l + 10*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -341 at least -1025\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1855142, -3710283, -5565428, -7420577, -9275730, -11130887?\n\"Answer: -2*s**2 - 1855135*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 300, 229, 164, 111, 76, 65?\n\"Answer: m**3 - 3*m**2 - 69*m + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, i: 1}. What is prob of picking 1 i and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 10*r**2 - 11*r**2 + 3*r**2)*(0 + 4 - 5)*(-2 + 8 + 3).\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - -3. Let u = m + -35. Suppose -u - 62 = -5*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*-1*((-4)\/10)\/((-340)\/(-425))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/45)\/((-348533)\/168645)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*((sqrt(108)*1 - sqrt(108) - sqrt(108)) + sqrt(108))*-4)\/(sqrt(108)\/((sqrt(132)*2)\/sqrt(11))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {r: 13, h: 5}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9183135 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 3 = 43. Suppose k*h - 11540 + 1756 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**2 + 10*p**2 + 19*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c55649c + 3?\nAnswer: -c556499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2. Let g(k) = 4*k - 1. Let v be g(0). Give h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/60 - 5*w**4\/8 + 3*w**3 - 18*w**2. Let j be b(14). Suppose 3*k + j*k - 287 = 0. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1116530 (base 8) to base 11\nAnswer: -197241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3\/3 - 3*m**2\/2 - 3*m + 20. Let n(j) = -3*j + 45. Let p be n(16). Calculate r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002222200002 (base 3) in base 5?\nAnswer: 1024401242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22664*i + 1019873. Give u(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 3*y**3 - 9*y**2\/2 - 4*y + 1. Let l be ((-2)\/(-3) - 21\/(-9)) + -14. Let h(g) = 5*g**2 - 5*g - 2. Give l*h(o) + 6*r(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*k = 14, w - 5*k + 7*k - 10 = 0. Suppose -u + 10 + 6 = 0. Calculate the lowest common multiple of u and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Suppose -d + c = d. Factor -8*k**4 - 2*k**5 - 25\/2*k**d - 1\/2 - 7\/2*k - 19\/2*k**2.\nAnswer: -(k + 1)**3*(2*k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 + 259 - 72 - 10*j - 85 to u + v*j and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 16. Let z be 1\/(i + 4 - 2). Let y = 13 - 8. Sort y, -3, z.\nAnswer: -3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (5 - (-15240)\/35) + 3\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -3*r**5\/5 - 10*r - 18. Differentiate b(v) with respect to v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - q)*(4 + 2 - 5 + (0 - 2 + 1)*(-1492 - 892 + 1674)) to m*q + g and give m.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/15*l**4 + 1\/150*l**6 - 1\/50*l**5 + 0*l + 1\/525*l**7 + 0 - l**2 + 4\/15*l**3. Factor z(c).\nAnswer: 2*(c - 1)**2*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 - h**2 + 4*h. Let p(v) = v**3 - v. Let q(r) = -3*b(r) - 12*p(r). Factor q(a).\nAnswer: 3*a**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 14. Calculate m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2934 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18985 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 495 = -90. Is (-132)\/f*35\/(-14) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 260. Calculate the greatest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2\/43, -0.024 in ascending order.\nAnswer: -0.024, 2\/43, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 2:47 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usbs when four letters picked without replacement from bussububu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(252)*-1 - sqrt(252)) + (sqrt(252) + -2 + sqrt(252))*4 + ((sqrt(252) + 2)*3 - 6*(-2*sqrt(252) - sqrt(252))))**2.\nAnswer: -936*sqrt(7) + 383296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 434009?\nAnswer: -43400.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30472140 and 183360?\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g + 53. Let t be q(4). Suppose -t*w + 181 - 109 = 0. Solve -13*d + 20 = -w*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -95*a**2 - 72*a + 303. Calculate z(4).\nAnswer: -1505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from wautw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/13)\/(q\/q**11))\/(q**(1\/3))**(1\/14))**(2\/93) assuming q is positive.\nAnswer: q**(5405\/25389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -28*(-65 - (-12)\/3)*-1. Let o = -776 - l. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 1. Let j(x) = -6*x - 2. Let f = 3 + -2. Let v = f + 3. Calculate v*y(t) + 3*j(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 - 26668*w + 5331214 = 0 for w.\nAnswer: -13531, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/26463 and -143\/24.\nAnswer: 211704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 2*a**2 + 6*a**2 + a**4 + 0*a**2 - 5*a**2 in the form i*a**3 + q + o*a**2 + k*a + g*a**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54263531.\nAnswer: 7, 1107419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89330.\nAnswer: 2, 5, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-8 - 0) + 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k = 46*k - v - 9, 4*k + 2*v = 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyyyoqxxoyoyyxooxy. What is prob of picking 2 o, 1 x, and 1 q?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/14*(-1 + -5). Let n = 4 - -2. Let k = n - 3. Which is the third smallest value? (a) k (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/28*(-6)\/(-27).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202001 (base 3) to base 7.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwwjrwwwwpttwtttrtw. Give prob of picking 1 w and 2 r.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2665 + 2731. Calculate the highest common factor of 7887 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120749449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -43. Suppose 4 = 2*h + v. Solve -h + 6 = -5*b + 4*m, 2*m = 4*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-105)\/(-25))\/((130\/(-25))\/13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 577724956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (119\/21)\/((-1)\/(-3)). Let b be (1 + -1)*c\/34. Suppose a - 75 - 44 = b. What are the prime factors of a?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9391 to 2 decimal places.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(3\/2)*k))\/(k**(-3)*k))**(4\/5))**(-5\/2) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 4, o: 6, s: 2}. Give prob of sequence osnm.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 6. Let t(m) = m + 5. Let v(r) = -3*t(r) + 2*z(r). Let p be v(3). Let x = 0.46 - -0.04. Do p and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 32*o - 34 + 54 - 24. Is g(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13320 divided by -5?\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*p - n - 6, -3*n - 9 = -3*p. Suppose 0*u = 4*z + u - 67, -u - 1 = p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:22 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 337400*n**3 - 1012245*n**2.\nAnswer: 5*n**2*(n - 67483)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -513 and -55910\/109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 428.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, e: 1}. What is prob of picking 1 e and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 20 + (-10 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23112 (base 5) in base 6?\nAnswer: 11401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-3)\/(-24)). Suppose 55 = -q*s + 7. Let o = -11 - s. Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.02 - 0.98. Let o = 53.7 + -9.7. Let m = o + d. What is the closest to 1 in m, -1\/9, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*n - n. Suppose i = -3*i + h + 8, -2*h = n. Let m be 3*(-4)\/126*-3. Do m and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 730 = -i - 3*u, 4*u + 3602 = -5*i. Let h = 724 + i. Which is bigger: h or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18756 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.13729 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 756 (b) -0.066 (c) 0 (d) -27 (e) 0.3 (f) -5 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/2 less than 1236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k**2. Let r(d) = -11*d**2. Let n(p) = -4*i(p) + 7*r(p). Let c(w) = -w + 7. Let b be ((-44)\/28 - -1) + (-300)\/(-35). Let y be c(b). Give n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 5*k - 1 - 4*k + 3 - 3 - 3*k + (-1 + 3 - 1)*(0*k + 2*k - k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9679.3196 + -9696. Let v = -17.67 - x. Let l = v - -1. Round l to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.2 - 1.2. Let t = -427 - -467. Suppose -3*b - 3*r - 2*r = 40, t = -4*b - 4*r. What is the fourth smallest value in -1\/3, 0.5, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -20 + 72. Let v be h\/(-20) + 5\/(-20). Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 1593636.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -2 - (17 + 50 - 26)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 40. Suppose 0 = -r - 3*r + o. Suppose -2*h = -r*y - 0*y - 60, -4*h = 5*y - 150. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1\/9, -2.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.5 (c) 2\/7 (d) 309 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.455 - 1.454997046. Round m to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2290, 4569, 6824, 9049, 11238, 13385, 15484, 17529?\n\"Answer: -c**3 - 6*c**2 + 2304*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-2320)\/232 + (-135)\/(-25).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -935 * 1.82.\nAnswer: -1701.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-7 + 2) - (-175)\/1. Suppose -2*y + 177 = -3*x + 8*x, -y = 5*x - b. Suppose -s = -x + 32. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*-23\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:19 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47568 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -323*b - 11. Let y be c(1). Let w = y + 797. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o - 3. Let f be i(0). Let t be (-10)\/f + (-21)\/63. Solve -t*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {d: 8, e: 1, p: 4, o: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - c029a?\nAnswer: -c029b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -9, 22964?\nAnswer: 22964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.01 (b) -617.4 (c) -9 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -594*s**5*x + 1322*s**4*x + 2*s*x + 131129*s wrt s.\nAnswer: -11880*s**3*x + 15864*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 6. Let k(l) = l + 1. What is 2*j(r) - 6*k(r)?\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111011111 + 10100?\nAnswer: -101111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63008 divided by 1432\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((342\/(-133))\/3)\/(18\/140))\/((-88)\/(-12)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475 - 587. Let r be n\/(-24)*(-105)\/(-14). Solve 5*a + 45 = 4*d, 0*a - 3*a - r = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23501 and -96.\nAnswer: -2256096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/17963 and -59\/3542.\nAnswer: 251482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(1\/(15\/30))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6941 is divided by 295.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631 (base 11) to base 7.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*k - k + 4*k)*((5 - 2 - 4)*(2 + 1 + 1) + 3 - 1 - 4 - 5 + 5 + 2) in the form j + r*k and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:10 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253090?\nAnswer: 2, 5, 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let h = -31401\/4 + 7807. Let m = -43 - h. What is the nearest to -1 in 5, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -16 - (-5 + -2)) + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t - f - 953 + 853, 6*t + 3*f = 2*f + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*z**(1\/6)*z*((z*z**1)\/z*z)**(-13\/5))\/(z**(-3\/4)*(z*z**(2\/7))\/z*(z\/(z\/((z\/z**(2\/11))\/z))*z)\/(z\/((z*z**5\/z)\/z))) assuming z is positive.\nAnswer: z**(-105467\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/59, -0.58, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 78*f + 516. Let h be b(6). Solve 4*d - 3*v - 8 - 4 = 0, -3*d = -3*v - h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 23, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17061 and 1128.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 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: Let m be (4 + (-78)\/18)*9. Which is the nearest to -17? (a) m (b) -1 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.247898l?\nAnswer: 1247.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(3\/(-6)). Let t = m - -7. Suppose 0 = -0*d - 5*d + 40. What is the greatest common factor of t and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/149 - -5863\/49766. Let a = 421\/1169 + d. Find the common denominator of a and (1162\/12)\/(-7) - 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 14*s + 2. Give b(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*n, -4*a - 3*n - 2 = 3. Let p = 1 - -32. Let h = p - 31. What is the nearest to a in h, -4, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2. Let c(s) = 53*s**2 - 5*s + 5. Let d(r) = -3129*r**2 + 294*r - 294. Let k(y) = 294*c(y) + 5*d(y). What is u(k(a))?\nAnswer: 23814*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 + 3*d**2 - 3*d - 6. Let f(u) be the first derivative of p(u). What is the tens digit of f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 - 21 = -3*d, 4*n - 4 = 4*d. Solve -3*u = -d*h, -3*h = 3*u + 2*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*b**2 - 15*b - 7*b + 21*b in the form i*b + q*b**2 + n and give q.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.764759 - -1.7741. What is i rounded to 4 decimal places?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -7, 1, -47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 476 - 474.7. What is the closest to 6\/13 in -1\/4, t, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203920 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -108*u**3 - 4*u - 14. Is m(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.1829 rounded to 0 dps?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 + 210. Put 0.3, 0.5, -4, a in decreasing order.\nAnswer: 0.5, 0.3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.76 + -4.86. Let i = -1042.062 + 1040. Let z = i - y. What is z rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -984 + 3170. List the prime factors of b.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = 3*f - 5*h, h + 5 = -f. Let j be (11\/f + -2)\/(12\/(-252)). Suppose 8*x = -j + 335. What is the highest common factor of 81 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -16*w + 70 + 49. Which is greater: -5\/1512 or w?\nAnswer: -5\/1512","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + 78. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -812 + 5?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**8\/20160 + y**7\/1260 + y**6\/720 + y**5\/60 + 6*y**2. Let n(d) be the third derivative of t(d). Determine n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*c + 8440*c**2 - 1255*c**2 + 1.\nAnswer: 7185*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1188200 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-4))\/t**(1\/3)*(t*(t\/t**(6\/7))\/t)\/(t\/t**8))\/((t**(-2\/5))**(11\/7)*((t\/(t*t*((t*t\/(t**(-2)*t))\/t)\/t*t*t*t))\/t)**(-12\/5)) assuming t is positive.\nAnswer: t**(-101\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 1 g when three letters picked without replacement from frfgfgrffrrggrrffrrf?\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = 4. Let w = 3 + r. What are the prime factors of 2 + (-2)\/w + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86735?\nAnswer: 5, 11, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12091 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = d - 15, 0*c = 4*c + 5*d + 9. Solve 3*h - 4*h = 2*f - 9, 28 = c*h + 4*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2323580 divided by 9484.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v + 36786*v**3 - 36864*v**3.\nAnswer: -78*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.053, 12, 0.3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 44 + 16. List the prime factors of c\/20 + (-774)\/(-10).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 0.31. Let q = 0 - 0.9. Let k = q - 0.1. Which is the second biggest value? (a) k (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Suppose -5*v = -u*g + 425, 4*g - 355 = 2*v - v. Suppose g = 3*b - 48. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-6))\/(40\/(-30)*(-2)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2565\/(-4275))\/(14\/(-20))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 63*d - 134. Let v be f(2). Solve -a + 13*m = 18*m + 1, -4*a = -v*m + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102808 divided by 1\nAnswer: 102808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1102*x - 3258. Let s be v(-3). Solve -s*t + 5 = -43*t, -3*o = -2*t - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 766*a*g**5 + 109*a*g**2 + g**4 - g**2 wrt g?\nAnswer: 45960*a*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 290?\nAnswer: 31\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*f - 6, -20 = -2*v - 2*v + 2*f. Suppose 0 = 3*m - 3, -b = -v*m + 35 - 12. Let t = b + 31. What is the remainder when 35 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.6229 + 0.3771. Put 21\/5, 1, w in ascending order.\nAnswer: 1, 21\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -32*q + 2. Let t(f) = 3*f**2. Give w(t(z)).\nAnswer: -96*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 190975563?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -55609 greater than -55609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -27 + -36 + (-2 - -1 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((520\/(-70))\/2 - -4)\/(3\/399).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 33. Put 3, h, 4 in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -84, 72 in ascending order.\nAnswer: -84, -39, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1465 and 45290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**2 - 4*x**2 + 5*x**2)*((-3 + 4 - 3)*(2*x - 3*x - x) - 406*x - 377*x + 2 + 946*x).\nAnswer: 1837*x**3 + 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14 + x**2 - 6 - 8. Let m(t) = -105*t - 7. Let v be m(-4). Let u(o) = -13*o + 413 - v. Calculate c(u(f)).\nAnswer: 169*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(91\/14)*-1*1. Let g(p) = 11*p**2 - 10*p**2 - 4*p**q - 4*p. Let f(j) = 8*j**2 + 11*j. Give 6*f(c) + 17*g(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -118?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 646659\/10 + -194773\/3. Let t = 1208\/5 + o. What is the common denominator of t and 49\/2*2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310669137 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -2\/7?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 - a + 1. Let m(s) = 165*s**2 + 171*s**2 + 0*s - 504*s**2 + s + 167*s**2. Calculate g(u) - 2*m(u).\nAnswer: -2*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20.8 times -2576\nAnswer: 53580.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 + -246.9. Let x = -20.1 + g. Is 0.2 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/4 + 3*n**3 + 13*n**2\/2 - 168*n - 217. Let i be x(8). What is the third smallest value in i, 0.01, 1.1, -0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/14988 and -49\/5340.\nAnswer: 6669660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236930 = -x + 164044. Suppose 2*a - x = -2*v, 4*v - 134767 - 65708 = -a. Let p = -45509 - a. Round p to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 589, 335.\nAnswer: -1, 335, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -589*s + 2992. Determine q(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 1\/3, 0.1601?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9057568 to 2 decimal places.\nAnswer: -4.91","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 2. Let c be k(5). Factor 3 + c*h**2 - 16*h**2 - 3*h + 7*h**2.\nAnswer: -3*(h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 9*r**2 - 2*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -698, -2942, -6732, -12068, -18950, -27378?\n\"Answer: -773*l**2 + 75*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert b970 (base 16) to base 15.\nAnswer: e0ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1343723*l - 1345611*l + 1.\nAnswer: -1888*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 59 - 47 = -95 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*a + 19*a + 23*a + 16*a to t + g*a and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 71*v - 2702. Give x(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2490487810 - 9582.7\nAnswer: 2490478227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30479\/11 - -2771. Let m be (-1)\/(-3) + (-12)\/9. What is the fourth biggest value in 4, m, 2, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 11. Let y be i(-9). Suppose -2*c - 4*s + 10 = 0, 75 = 2*c + y*c - 3*s. What is the remainder when 28 - (1 + -1 + -1) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 32 - 23 = m, 3*m = -2*h - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = 4*x, u + 0*u = -2*x - 15 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 5:31 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 2083. Let q(f) = -3*f - 907. Let p(j) = 9*q(j) - 4*z(j). Let a(i) = 2*i. What is a(p(l))?\nAnswer: 2*l + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 25 = 0, 18 = 5*h - 2*w + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/9 - (-4)\/(-6). Let x be 4\/14 - (-2)\/(-7). Sort -5, u, x in descending order.\nAnswer: x, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22783473487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -325*r - 889. Calculate n(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461812575 - -14221.\nAnswer: 461826796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 5271 and 5272 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193.9 - 194. Let g = 10\/33 - -1\/33. Which is the second biggest value? (a) g (b) -1.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2064 and 0.087?\nAnswer: 2064.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4627 + 2334 - 2*w + 2291.\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*4 + (-12535)\/(-115) + -67\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 4)*(-2)\/(-7). Let c be -1 + -1 + (-3 - -3). What is the common denominator of -37\/20 and (u + c)*46\/(-176)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -139 + -1022973?\nAnswer: -1023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 33*k**2 - 29048*k + 23503112. Let m(g) = 21*g**2 - 19367*g + 15668741. Let q(f) = 8*m(f) - 5*o(f). Find a, given that q(a) = 0.\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q + 346*q + 81*q.\nAnswer: 409*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**2 + 20. Suppose 0 = 4*o + 180 - 260. Let c(x) = -x**2 + 3. Let s(n) = o*c(n) - 3*i(n). Let l(j) = -20*j. Determine s(l(d)).\nAnswer: 1600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32470\/183 + -532\/3. Let s = -37\/244 - q. Which is the nearest to 0.1? (a) s (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 g when three letters picked without replacement from {g: 1, s: 4, e: 1, d: 1, j: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 351469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/6 - (0 + 2))\/(70\/(-630)). Which is the third biggest value? (a) 2 (b) -19 (c) g (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -104*x + 1. Let h be c(-1). Let u be (-1728)\/(-45) + 6\/10. Find z, given that -9*z**2 - u*z + 3*z**4 + h - 93 - 21*z**3 + 54*z**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 * 3.03\nAnswer: 3.7269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. What is the second smallest value in s, 3, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 v, and 1 w when four letters picked without replacement from ppppwwpvwwpvepppvppp.\nAnswer: 264\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*f - 13, -5*f + 5*o + 7 = -3. Let x(h) = -2*h**2 + 5*h. Let a(j) = 4*j**2 - 11*j. Give f*x(u) + 2*a(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - f + 10. Let l be s(0). Suppose -5*i + 4 = -4*w, l = 5*i - 3*w + 2. Suppose -i*k - a = -3*a - 68, 4*k = 5*a + 74. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 - 1554?\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843483529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8) - (-1012)\/3312?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 = -4*j, 3*j = -2*j + 5*y + 40. Find the second derivative of -n**j + 27*n + 3*n**5 + 35*n**5 wrt n.\nAnswer: 740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114068128 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 3, -605, -4\/9, 132, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34588 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 415375 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: Let u = -427 + 417. Is (9 - (-42219)\/(-18))*u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4100*y**2 - 281*y**3 + 48*y**3 + 4090*y**2 - 11*y - 7 - 3*y wrt y?\nAnswer: -1398*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/17, 4, -2, 896, -5 in decreasing order.\nAnswer: 896, 4, -10\/17, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7)**(2\/51)*(c*c**(-2\/41))\/((c**17*c*c)\/c) assuming c is positive.\nAnswer: c**(-35075\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/(sqrt(1440)*1).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x - 12*x**2 - 17*x + 32*x - 5*x**2 + x.\nAnswer: -17*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6385 at most -6382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -322, -329, -336, -343?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142459 less than or equal to 142462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108575 is divided by 2728?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h = -211 + 3. Solve h*l + 3 + 1 = -4*t, 0 = -2*t + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9252.593 nanometers?\nAnswer: 0.000009252593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2075, -4150, -6215, -8264, -10291, -12290?\n\"Answer: z**3 - z**2 - 2079*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 18 = 4*f + 15, -57 = 5*f + w. Let o(i) = 3*i**2 + 31*i + 25. What is the remainder when o(f) is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -1\/6*j**3 + 0*j**2 + 0 - j. Let o(p) = -p**3 + 19*p**2 + p - 17. Let x be o(19). Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - m - 8 = -s, -3 = -3*m. Let b(w) = w**2 + 23*w + 85. Let i be b(-19). What is the greatest common factor of s and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -488, -501, -518, -539, -564, -593?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66860600 rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/315)\/((68\/102)\/(1*4\/(-3))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(((-25)\/(-100))\/(-1))\/(10\/(-32))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1694*o + 174*o**2 + 1694*o.\nAnswer: 174*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 12:44 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2359.\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -534 times -998\nAnswer: 532932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -1. Solve 3*o + b = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -34, -5, -4, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 337 = 83*g. Let o(f) = 13*f**2 + 6. Let a(i) = -14*i**2 - 5. What is g*o(z) - 4*a(z)?\nAnswer: 17*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, 1\/2, -1989, 89?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208978 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 810142988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z = 32*z + 110. Suppose -16*l + 5*l = -z. Suppose 98 = f - 5*m - 134, l*f + 2*m = 440. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 63*v**2 - 83*v**2)*(-6*v - 2 + 2) + 0 + 0 - 2*v**3.\nAnswer: 850*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50429396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u - 13970 = 8*u. Suppose 3*w + 38 = 5*d + 8, 5*w + 40 = 5*d. List the prime factors of u\/6*(-1 + d + 1).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 take away -1.5834526?\nAnswer: -4.7165474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-68 + (29 - -32))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7431*k - 24892 - 86573 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 25*w**2 - 645*w + 2953. Determine l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2222610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 8, 32, 80, 158, 272, 428?\n\"Answer: h**3 + 3*h**2 - 10*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = z - o - 16, 4*o = 4*z - 28. Suppose 5*m + z*r - 5 = 0, -4*m + 28 = -5*r - 17. Let s = 0.13 - 0.23. Sort m, s, 1\/5.\nAnswer: s, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjpjskyk. Give prob of sequence jyk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -234312 (base 11) in base 7?\nAnswer: -3105514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - 2. Suppose 5*u + 55 = -4*w, -2*w - 4*u - 1780 = -1742. Sort -45, w, b in decreasing order.\nAnswer: b, w, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 6. Let w(q) = -2*q + 1. Suppose 2*k - n = 2*n - 21, -k - 9 = -n. Calculate k*m(t) - 34*w(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 3682 = -221*i - 142*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 308*g**2 - 110*g**2 + 341*g**2 + (3 - 2 + 0)*(3*g**2 - 2*g**2 - 3*g**2).\nAnswer: 537*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145263.\nAnswer: 3, 41, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-450)\/36*2\/5)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/27 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s - 4. Suppose -6*r = -15*r + 20*r - 55. Let l(f) = -8*f + 2. Determine r*l(v) + 2*p(v).\nAnswer: -6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6926459 + -9944459. Round t to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14060 (base 12) to base 13.\nAnswer: -c804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 + 5*z - 5. Let w(n) = 4*n**2 + 5*n - 5. Let f be w(1). What is h(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.36 (b) -2\/7 (c) -4 (d) 6 (e) 4 (f) -948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -47*c**3 - 6*c**2 - 6*c. Suppose -20*r - 1154 = -4*u - 17*r, -857 = -3*u - 2*r. Let f(l) = -2255*l**3 - 287*l**2 - 287*l. What is u*m(q) - 6*f(q)?\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101000 - 11110111?\nAnswer: -1111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -264*l - 2590. What is v(-15)?\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccyyttttytllttwtctt. What is prob of sequence yl?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 4*z - 2*b - 1, -5*z - 3*b + 11 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*w + 21 - 24 = 0, 0 = -5*o - 3*w + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 3*f. Suppose q = -3*q + f. Let t(h) = h**2 - h. Let z(g) = 5*g**4 - 3*g**2 + 3*g + 5. Let x(y) = q*z(y) + 3*t(y). Differentiate x(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - b - 5 = 0, -2*b - 550 + 540 = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 5*r**3 + r**3 + 731*r - 731*r - 76*r**3 + 2*r**3 + 2*r**2 - 2*r**2 + (2*r + 3 - 3)*(2*r**2 + 4*r**2 - 5*r**2) - r**2 + 3*r**3 + r**2.\nAnswer: -65*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 404 divided by -3154\nAnswer: -202\/1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z\/(z*z**(9\/2)))**(-19)*((z\/(z*z\/z**1))**(-5\/6))**26 assuming z is positive.\nAnswer: z**(209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3800)*1)\/(5*sqrt(288)*3).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 7, y: 7, o: 3, x: 1}. Give prob of sequence maoo.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 4, x: 2, v: 10}. What is prob of picking 2 w, 1 v, and 1 h?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/155 and -13\/1116.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/24 + o**3\/6 + 5*o**2. Let y be g(5). Differentiate -2 - y*n - n + 2*n with respect to n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(1968\/(-462480)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/80*-5 + 3\/24)*1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -19, -36, -57, -82?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.605 - -1.605. What is the fourth biggest value in q, -2, 1, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 - 13731*a + 41168. Give r(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4181)\/(-289340)*34 - (-2)\/(-4)?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 214*b**2 - 257*b**2 in the form a + i*b + o*b**2 and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 3. Suppose -5*t - n = -98, -b*t - 3*n = -5*n - 64. What is the remainder when 1\/((2\/t)\/1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-166)\/6 + 3\/(-9). Let k = c + 63. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, -3, 0.3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139210.3 - 139210. Suppose 0 = 3*q + 5*f + 223, 0 = 2*q - 6*q + f - 259. Let t be q\/20 - 1\/2. Sort o, t, 4\/3.\nAnswer: t, o, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3275 = 6*u - 3241. Let x = u - 519. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 3, k: 7, v: 3, j: 1, t: 1}. Give prob of sequence lltl.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.135 + 51.135. Let y = 3.38 - -47.82. Let u = g - y. Put 2, 2\/9, u, -5 in descending order.\nAnswer: 2, 2\/9, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 9*g**2 + 8*g**2 - 135*g**3 - 26*g**3 + 1.\nAnswer: -161*g**3 - g**2 - 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 1069 = 23*c, c + 596*y = 1180*y - 587*y + 59 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from ohkqfhyk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.486 rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312784?\nAnswer: 2, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -1\/4, 36357?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39693374 rounded to 3 dps?\nAnswer: 0.397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 248, 307, 288, 167, -80?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 67. What is the smallest value in t, 0, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 9, 4*h - 9 = -v - 19. Let f be ((-8)\/22)\/((-4)\/(-2)). Let n(r) = r + 3. Let l be n(0). Which is the biggest value? (a) f (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 154?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-110))\/(4\/30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + -0.99. Suppose -3*f + 2 = -4. Let z be f\/8 - (-15)\/20. Which is the nearest to z? (a) x (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 15*o**2 + 17*o - 15. Let u(y) = -y**3 - 16*y**2 - 17*y - 3. Calculate the smallest common multiple of u(-15) and r(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128713.53 to the nearest 100.\nAnswer: 128700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 874700747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00088681857 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(1\/30). Let m be (1\/(3\/(-6)))\/((-40)\/60). Solve y + m*y = -d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbkkkkjjkjbfkkbbq. Give prob of picking 1 j, 1 k, and 1 f.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 1095*t - 1095*t + 2*t**3 + 2188*t + 4*t**2 - 1 to j*t**3 + g*t**4 + r*t**2 + n + b*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124983 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 6292.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 303 + 1\/((-3)\/(-9)). Let n = 146 - q. Calculate the remainder when n\/(-14) - (-8)\/14 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + -7 - (-5 - 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2\/9, -1, 45246 in increasing order.\nAnswer: -1, 2\/9, 27, 45246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17dda5d (base 14) to base 3\nAnswer: -211021002200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -23) + 2 + -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -z + 7, -2*x + 12 = -3*z + 4*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6622.467ng in kilograms?\nAnswer: 0.000000006622467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 78*o + 72. Suppose 116*g + 4 = 115*g. Let b(y) = y**2 - 77*y - 72. Let l(s) = g*b(s) - 3*j(s). Let l(v) = 0. What is v?\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -6 + (6 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*d + 3036, n - 2*d - 2*d = 754. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**2 + 3*l - 3. Let m(h) = -100*h**2 - 28*h + 28. Let q(f) = 3*m(f) + 28*r(f). Let s(c) = -43 - 45 + 300*c + 134 - 302*c - 46. What is s(q(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-40)\/(-12))*(-2)\/27\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*n = -35, -4*n + 20 = -0*a - 2*a. Let o be (a\/(-15))\/((-1)\/(-5)). Is -1\/3 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 940*q**2.\nAnswer: 2*q**2*(q + 3290)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Let g be j - (-2)\/6*0. Let t be ((-10)\/4)\/(g\/(-4)). Solve 3*y - 3*p - 8 = 2*y, 2*y - t*p = 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9)*(0 + 6). Solve 5*b - 5 = -3*l + p, -4*l = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/1)\/1)\/((-24)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reejrjjrjj. Give prob of picking 3 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.508307 minus 3?\nAnswer: -3.508307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -d + 67. Let m be d\/3 + (-4)\/(-6). List the prime factors of 3\/(-6) + m\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -8 (b) -2 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 109248\/(-8622) + 2\/4. Let w = -2\/479 - g. What is the common denominator of w and 37\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*64769\nAnswer: 259076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 5. Let o(v) = -6*v + 10. Determine 7*l(x) + 4*o(x).\nAnswer: -3*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 11*r**2 + 3*r**4 - 11*r**2)*(-6 + 5 - 10)*(-4 + 2*r + 4).\nAnswer: -66*r**5 - 44*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 5*y - 1. Let u = 85 + -70. Suppose 3*c + u = 2*i, 3 = -c - 0. Calculate o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2735 - 2752) + (1 - 5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2958638 plus -0.2?\nAnswer: -0.4958638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1137*k + 4*k**3 + 1137*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 13*s**2 + 15*s - 12. Let i be f(14). Suppose -124 = -i*t + b + 3*b, 0 = -4*t - b + 230. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/6)\/(6\/(-16)). Suppose -2*f = -2 - q. Suppose 4*k + i + 13999996 = 5*i, -3*k = f*i + 10500003. Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 + 7*b**3\/6 - 9*b**2\/2 - 2*b + 742. Determine h(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 494.\nAnswer: 54834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 20*v**2 - 6*v + 13. Let o be t(-20). Suppose 57 + o = 10*a. Calculate the highest common divisor of a and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*28\/72*(-48)\/(-224)*186\/15.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8))**14*(n**18*n)\/n**10 assuming n is positive.\nAnswer: n**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 7\/6*o**3 + 0 + 0*o**2 + 3*o. Give u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 79 (b) 0.4 (c) 1\/393 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 583 = -m + 932, 3*q - 2*m + 1140 = 0. Let j = -374 - q. Solve -2*b = -j*b - 2, -i = 2*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**2 - 1\/3*n**3 + 1\/10*n**5 + 1\/6*n**4 + 2*n + 0. Suppose x(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57137 by -1540.\nAnswer: 57137\/1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.523072 rounded to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2707747 (base 8) to base 3.\nAnswer: 1102111102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + -1 + (-4)\/2. Suppose w*v - 48 = 3*v. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b - 39675 = 2772 - 6873. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204*c*h*q**3 + 7*c*h*q**2 - c*q**2 - 12*c*q + 601*c + h*q**3 + 2*q**3 wrt h.\nAnswer: -204*c*q**3 + 7*c*q**2 + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88, -83, -76, -67, -56?\n\"Answer: w**2 + 2*w - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1*6 - (1 + 1*sqrt(20) + sqrt(20) - sqrt(20))**2)*-1.\nAnswer: 21 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -547 bigger than -9496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5 - 6 - 1 - 4*g + 5. Does 9 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -31 - (3 - (17 + -11))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87671 + -50348. What are the prime factors of f?\nAnswer: 3, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604095*c**2 - c - 604082*c**2 + c.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 - -3. Let k = 1.3 - w. Suppose -4604*s - 661 = -4534*s - 171. Sort 0.5, s, k in ascending order.\nAnswer: s, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 + -1.1. Let y = 2 + h. Let b = y - -2.99996. Round b to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -37) + (-3 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -92 + 2. What is the highest common divisor of h and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*u + 42, 0 = k + 2*k - u + 21. Let r = k - -10. Solve 3*o + 5*t = -9, -r*o - t = o - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32979659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 3, 1, 0, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1605 divided by 189\nAnswer: -535\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2\/2 + 9915*n\/2 + 113229 = 0.\nAnswer: -3282, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -109*i**3 + 2*i**2 + 5*i - 5. Let v(w) = 55*w**3 - w**2 - 3*w + 3. Determine -6*n(u) - 10*v(u).\nAnswer: 104*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14622, -14631, -14650, -14685, -14742?\n\"Answer: -s**3 + s**2 - 5*s - 14617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.229055 rounded to two dps?\nAnswer: -89.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3061 - 916. Let j = 47175\/22 - w. Let q = 344871\/22 - 15672. Find the common denominator of q and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z + 4. Let f be 81\/4 - (-1)\/z. What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109038 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.68 + -3.68. What is the third smallest value in -0.3, u, -2\/5, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0214 times 0.3\nAnswer: 0.00642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 14*j**3 + 60*j**2 + 1400*j + 4000.\nAnswer: -(j - 10)*(j + 4)*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/17 (b) 64 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.233 - -1212147.9.\nAnswer: 1212153.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by -5?\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - -3. Let o = -4.7 - y. Let x = -6 - -1. What is the second smallest value in o, x, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 152, 262, 496, 896, 1504, 2362?\nAnswer: 3512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4483 - -10554. What are the prime factors of j?\nAnswer: 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -923 (b) 2\/25 (c) 1\/5 (d) -0.01 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-211 + 216) - (175 - 0)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101002012011020210 + 1?\nAnswer: 101002012011020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*o**2 - 14*o + 14*o.\nAnswer: 87*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*p = 7 + 44, -5*h + p = 87 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*x + 0*x = 4, -5*h - 3*x = 16. Let n = -701859\/173 - -4057. Sort h, n, 3 in decreasing order.\nAnswer: 3, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 6 - 13 - 14*f + 12.\nAnswer: -13*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -30*q**5 + 565*q**4 - 4035*q**3 + 13240*q**2 - 18480*q + 6400 = 0.\nAnswer: 1\/2, 4, 5, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23886536 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2827, -5, -1\/25 in descending order.\nAnswer: -1\/25, -1, -3, -5, -2827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8372 is divided by 335?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7593, 9146, 10699, 12252, 13805, 15358?\nAnswer: 16911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a7 - -22?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/3, -155225, 1\/5 in descending order.\nAnswer: 5, 4\/3, 1\/5, -155225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 10:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/805)\/(5\/((-175)\/(-5))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + -1*(-2*sqrt(95)\/(sqrt(60)\/sqrt(12)) + 2*sqrt(76) + -2*sqrt(2736)))**2.\nAnswer: 220*sqrt(19) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -0.1. Let u = -20\/2559 + 2719\/20472. What is the closest to 1\/4 in -0.05, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -9 = -3*s + 4*s + 3*c, -2*s = 2*c + 6. Suppose s = i + 3*i. Solve -z*n + 2*k + 16 = i, -5*k - 3 = 4*n - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2127178 divided by -92486.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*p = 1566 + 38 + 867 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -0.02. Let d = -0.06 - o. Let q = -0.01 - d. What is q rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16562?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11981500.89 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58, -2\/17, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1240151*v**3 - 2*v**4 + 1240151*v**3 - 11*v**2 + 21*v**5)*(-4 + 2 + 3 + (1 - 1 - 2)*(0 + 1 - 2) + 2 - 2 - 2 - 2 - 1 - 1 + 3 + 0 - 5).\nAnswer: -105*v**5 + 10*v**4 + 55*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 428.2 + -170847452.\nAnswer: -170847023.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from ksaankpv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - v - 1 = 0, -12*q + 16*q - 48 = -8*v. Solve 3*c - c = -8, q*c + 11 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 50*k + 388. Let u be r(-12). Suppose -3*n = -5*h + 235, 0*h = 3*n + h + 205. Is u at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14bc71 (base 14) in base 2?\nAnswer: -10110000110010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 - 2*c**4 + 5*c**4)*(2 - 2 - 3)*(0 + 1 + 1).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3294308 and 7.\nAnswer: 23060156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -148, -598, -1348, -2398, -3748?\n\"Answer: -150*g**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q + 4*c - 255, -3*c = -9. Suppose -4*b - 293 = -q. Let z = 86 + b. Calculate the remainder when z is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 + 10*z. Let f(p) = 9*p**2 - 15*p. Let a(h) = -5*f(h) - 8*l(h). What is the second derivative of a(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*h - 70, -2*h + 96 = 3*v + 2*v. Calculate the smallest common multiple of 22 and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/2 + 4089*t**2\/2 + 261690*t = 0 for t.\nAnswer: -1220, -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -14967*j - 105128. Calculate f(-7).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7178 and 87\/814.\nAnswer: 78958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (0 + 2)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (9 + -9 + 4) - 2 - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 14. Let h be t(-16). Suppose 2*s - 4 = -h*s. Let w(d) = -25*d - 10. Let z(n) = 8*n + 3. Let x(a) = 2*w(a) + 7*z(a). Give x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1. Let a(q) = q - 12. Give a(n) - 5*i(n).\nAnswer: n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*i**2 + 5*i + 2*i**2 - i - 6*i to the form n + j*i + c*i**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 316*n + 1 + 265*n - 573*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 20\/7*z**2 + 1\/21*z**6 - 4\/35*z**5 + 145 - 3\/2*z**4 + 48\/7*z - 44\/21*z**3. Determine g so that w(g) = 0.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 7*k = -0*k. Suppose -3*i + 2*l = -20, -10 = -2*i + 3*l + 10. Which is greater: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15832*n**4 + 3*n**3 + n**2 - 32*n - 199.\nAnswer: 379968*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 508485.4 minutes?\nAnswer: 30509124000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 439 (b) 0.4 (c) -0.3 (d) 4\/7 (e) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 84*m + 79*m + 3 = 43, -5*y = 2*m + 58 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 4, j: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -26 + 6. Suppose -33 = b*x + 32. Does 16 divide ((-96)\/7)\/(x\/(-7) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6 = 0, 3*z = -9*r + 11*r + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**3 + k**2 - 9*k - 10. Let z be c(-1). Put -4, -1, 0.2, z in increasing order.\nAnswer: -4, -1, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2813 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/((-66)\/(-7480)*5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 9. Let j be n(-4). Suppose 0*p + 200 = j*p. Suppose 3*c = -4*u + p, -2*u + u = -5*c + 36. Solve 2*h - 4*l = c, -6 - 4 = -2*h + 5*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-6 + 7 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*m**2 + 2524*m**2 - 8 + 4 + 6 - 79*m**2 to the form v*m + d + s*m**2 and give s.\nAnswer: 2633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 41*o - 5*i = 31, -5*i - 21 = 2*o. Let m = -102 + 102.06. Which is the nearest to o? (a) m (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4021, 2266, 511, -1244, -2999, -4754?\n\"Answer: -1755*d + 5776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 6. Let w(i) = -11*i. Let v(y) = 4*y. Let m(f) = 8*v(f) + 3*w(f). Give m(o(t)).\nAnswer: -t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 11*h - 7*h)*(-4 + 1 + 2)*(2 - 6 + 2) + (0 - 1 + 0)*(3*h - 2*h + h)*(-3 - 6 + 5) in the form m*h + v and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s**2 + 35*s**2 + 39*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1843*w - 2*w**2 - 3658*w - 3*w**2 - 50 + 1815*w. Let k(r) = 11*r. Calculate t(k(z)).\nAnswer: -605*z**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0570527083 rounded to four dps?\nAnswer: -0.0571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2999*y + 4. Let t be h(-4). What is t rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15041113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*i = 24, 4*i - 3 = -11. Let m(w) = y*w**2 + 3*w**2 + 2*w**2. Let b(u) = 4*u + 5*u + u + 4*u - 13*u. Calculate m(b(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25905)\/(-58718))\/(1\/(-34))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.075, 0.286, -2\/5?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 12*z**2 + 8*z + 84. Let x be y(-10). Calculate the highest common divisor of 306 and x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -16, -24, -36?\n\"Answer: -2*u**2 + 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 9. Let j be w(12). Let n(l) = -17 + 2*l + 17 - j*l**3. Calculate the lowest common multiple of 6 and n(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 22 - 72 = 8*l. What is the least common multiple of 1713 and l?\nAnswer: 8565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3611 - 14367\/4. Find the common denominator of 131\/48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((6 - (-6 + 3)) + -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 - 15*f + 24. Let a be k(5). Let j(l) = 3*l**2 + 54*l + 29. What is the hundreds digit of j(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*a**3 - 21*a**3 - 60*a**3 + 47*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -470*c**4*s + 963*c**3*s + c**2 + 24891*c*s - 3*s wrt c.\nAnswer: -5640*c**2*s + 5778*c*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 3. Let k be s(-3). What is the smallest common multiple of -9*(k - -2) + -1 and ((-33)\/3)\/(2\/(-2))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185749 is divided by 184.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 14*b - 73. Suppose b*n = 17*n - 260. What is the remainder when n is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 918 + -1879. Which is smaller: -964 or x?\nAnswer: -964","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a - 3. Let s(f) = 586*f**3 - f**2 + 67. Let q(k) = -s(k) - x(k). What is the second derivative of q(o) wrt o?\nAnswer: -3516*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 3*p = 15*n - 25, -5*n = 2*p - 40 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435 divided by 3.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 762 and 6936486.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -2\/17 (c) -3 (d) 16 (e) 338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - 14*o - 7. Is s(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + -104.8. Let k = -0.5 + y. Let f = k + 9.2. Which is the third smallest value? (a) 1\/3 (b) -1 (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 0.5, 4, -72, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 - i**4\/6 + i. Factor r(a).\nAnswer: a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-34)\/4 + 8)\/((-1)\/4). Let k = -181 + 2786. Suppose -3*u - b*u + k = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + -4 - sqrt(60)\/(-2*sqrt(12)) - (((sqrt(30)\/sqrt(3))\/sqrt(2) - (sqrt(5) + sqrt(10)\/sqrt(2) + 2 + sqrt(5)))*5)**2) + 4.\nAnswer: -600 - 397*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -285*n**2 + 15*n + 429. Let d(w) = -w**2 + w + 4. Let z(k) = 45*d(k) - 3*r(k). Differentiate z(q) wrt q.\nAnswer: 1620*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -37 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 719910 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 - 5*g + 6. Let k(r) = -r**2 - 4*r - 1. Let q(m) = k(m) - p(m). Give q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 138.16. Let s = 1.84 + y. What is the closest to s in -1, 0.03, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 11 + 4 = 0. Let i = 1 + -3. Let t be 8 + -4 + -4 + -3. Sort t, a, i in descending order.\nAnswer: i, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 6 - s - s**2 - s**3 - 3*s**2 + 5*s. Let j be p(-4). Let h be ((-4)\/j)\/((-4)\/18). Calculate the greatest common divisor of 9 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6788*d**3*s + 127371*s wrt d?\nAnswer: 20364*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12888 is divided by 986?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1064 = 5*n - 521, 9 = -3*n. Let q = -315 + m. Solve 3*l - 14 = 4*z - 3*z, -q*l - 5*z = 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5157932.\nAnswer: 2, 13, 99191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 171, 218, 175, 36, -205?\n\"Answer: -s**3 - 39*s**2 + 171*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/19 (b) -3.6 (c) -53 (d) -1 (e) 2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -51.2. What is the nearest to 0 in 2, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - (-10138)\/(-51). Let h = 199 + d. Is h greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3759?\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 42*p**3 - 5*p**2 + 5*p - 4. Let l(r) = 41*r**3 - 4*r**2 + 4*r - 3. Let q(z) = 4*g(z) - 5*l(z). Does 18 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126317071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from zzlzpppuuplzuzuvuvbp.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*b*m**4 - b*m**2 + 73*b*m - m wrt m.\nAnswer: -1476*b*m**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 877*n**3 - 2*n**2 + 2*n + 2. Let y(d) = -4386*d**3 + 11*d**2 - 11*d - 11. Calculate 22*w(i) + 4*y(i).\nAnswer: 1750*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(4) + sqrt(12)\/sqrt(3))*2)\/(sqrt(22)\/((sqrt(22)\/sqrt(2) - sqrt(11))*1 - sqrt(11))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.141 + 3.02. Round v to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.07 - 2.2. Let h = 0.27 - u. Is h equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*o + 30, -o - 4*o = d - 20. Suppose -o*u + 3*b = 511, u + 4*b + 152 = 36. Let q = u + 147. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9331560 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((3 + 5)\/4). Suppose 2*b + 2*b = -5*p + 535, w = -3*b + p + 387. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2 - 0) + 2. Suppose -2*n = -2*a - 14, 3*n = -q*a - 0 - 9. Let t be -5*(-1)\/(-15)*-2. What is the third smallest value in t, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174902.2199884 + 174902. Let f = 0.22 + a. What is f rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 5*y**3 - 5001724 + 2*y**2 + 5001724 + 0*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 3. Let s be f(0). Suppose 0 = 2*x + 5*w + 2, -s*x - 9*w = -7*w - 19. Solve -3*c = -3*l - 2*c + x, -5*l + 13 = -c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cikki. What is prob of picking 2 k and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.13 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2402 - 2399. Sort g, -2, 7, -1.\nAnswer: -2, -1, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64 - (-1 - -12 - 0)) + 4 + -7 + -3\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*y + 4*n, -3*y = -4*n - n - 4. Find the first derivative of -3 + 2*w + y*w - 3 + 1 wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(396) - sqrt(396)*-1) + sqrt(396) + (sqrt(44) - (sqrt(5324) - sqrt(5324)*-1))**2)*-3.\nAnswer: -58206 - 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l - 5. Let i(x) = -7*x - 5. Let q(t) = -6*c(t) + 5*i(t). What is q(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -698.99998915 - -699. Round v to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.1 (c) 3.7 (d) -0.4 (e) -3\/2 (f) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**6\/6 - 10*a**3\/3 - 10. What is the third derivative of r(l) wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 22. Let g(i) = 3*i - 11. Let f(t) = -5*g(t) + 2*n(t). Let y be f(6). Suppose -450 = -q - q + k, -y*q = -4*k - 1131. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*a = 587, -3*a - 414 = -2*w + 732. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1.03 (c) 19 (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 80978.05 meters?\nAnswer: 8097805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 8*r - 4. Let a be u(0). Let c be a\/(-2) - -3 - 7. Which is smaller: -33.2 or c?\nAnswer: -33.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + -0.53. Let z = x - -0.6. Let t be (-153)\/(-1530)*(-30)\/(-8)*(-4)\/3. What is the nearest to t in 1\/6, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120829\/12 - -10062. Find the common denominator of 71\/8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 16*j**2 + 16*j - 12. Let c be q(15). Suppose 3*s = -4*t + 1, c*s = 5*s + 3*t. What is the closest to 1\/2 in -0.4, -5, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -15. Suppose 17*v = 13 + 72. What is the closest to -1 in -4, j, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435451 (base 6) in base 7?\nAnswer: 210451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -432*((-64)\/5248)\/(42\/(-861))\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7582)\/136)\/(2\/(-328)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, h: 1, d: 2}. What is prob of sequence dd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4181867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737240767 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104287 is divided by 197.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 15. What is l(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u**2 + 20*u + 199. Let h be w(0). Which is the third smallest value? (a) h (b) 0 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/59)*t\/(t**(-10)\/t*t))\/(t**11*t\/(t*t\/t**(16\/7))))**(-1\/88) assuming t is positive.\nAnswer: t**(47\/3304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**9\/432 + i**5\/60 - i**3 + 3*i. Let h(t) be the second derivative of x(t). Find the second derivative of h(c) wrt c.\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 1249101.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + -1.94. Let r = 7 - 12. What is the closest to -1 in y, -4, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 - -130. Let l be (y\/(-6))\/(70\/(-105)). Solve 5*j = -3*r - 4 - l, -4 = 2*j + 2*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 2896983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -344196 divided by 9?\nAnswer: -38244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:43 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33455967 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7971?\nAnswer: 3, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l + 2*l + (3*l + l - 3*l)*(0 - 2 + 1)*(7 + 30 + 9)*(-1 + 3 + 1).\nAnswer: -137*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.8 + -25. Round d to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192505.634 less than 1.891178?\nAnswer: -192503.742822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903346223 a multiple of 11876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 22*s + 4*w = 20, 12 = -s + 4*w. Let d(g) = 15*g + 13. Let u(q) = 7*q + 6. Let b be (-9)\/(-2*2\/4). Give b*u(c) + s*d(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(2*a - 2*a - 2*a)*(-10 + 11*a - 8*a - 5*a) in the form q + r*a + p*a**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmuaxba. Give prob of picking 1 x and 2 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15876121 - 15876121 + 2328*n**3.\nAnswer: 2328*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27828, -55642, -83452, -111258, -139060?\nAnswer: -166858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26676*k*n**2 + k*n + 179*k + n + 14 wrt n?\nAnswer: -53352*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/7)*h)*h)**5\/(h*h**(2\/5))**(-2\/47)*(h**1\/(h\/h**10))**(-2\/19) assuming h is positive.\nAnswer: h**(-75688\/31255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 119 and -66.93.\nAnswer: -7964.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 88 = 3*p - 0*p, 0 = -4*p + n + 110. Suppose -3*b + p = g + b, -4*b = -5*g + 164. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-337)\/17187)\/((-1)\/(-5))*(-8)\/20*2.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5 + w**4 + 3\/5*w**3 - 3\/5*w - 7\/5*w**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4))**(1\/8) assuming z is positive.\nAnswer: z**(-5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/39 and 70\/1233.\nAnswer: 16029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-9380)\/(-15). Let x = h + 635. Suppose v + 1 = 2*v, 16 = q - v. Calculate the remainder when q is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3671 or 80\/457?\nAnswer: 3671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7184788 micrograms?\nAnswer: 0.0000000000007184788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159240 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 42, 432\/7 in ascending order.\nAnswer: 2\/7, 42, 432\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -173c824 - 39?\nAnswer: -173c860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 479355 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164 - 245 + 0*f**3 - 74*f**2 - 7*f**3 + 5*f**3 wrt f.\nAnswer: -6*f**2 - 148*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-30))\/(2\/(-7)). Is y less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -706 + 24?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, -40, -295, -654, -1117, -1684?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -96?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1129\/681 + -2\/227. Suppose -5 = c + 2*g, -c - 12*g = -17*g - 9. Put 4, y, c in increasing order.\nAnswer: y, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(539)*6 + -3*-2*sqrt(539) - (-2 + (sqrt(539)*2 - sqrt(539)) + (3 + 0 + sqrt(539) - sqrt(539))))**2.\nAnswer: 182*sqrt(11) + 91092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1217 + 1216.9. Which is the nearest to 0.7? (a) 15 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 68 + 63 + 68 - 201. Give l(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 35*q = 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o - 5. Let f(j) = 8*j + 3. Let q be -1 - -6*4\/6. Let p(h) = q*t(h) + 5*f(h). Let r(i) = -568 - i + 568. Calculate r(p(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/49? (a) 0.2 (b) 7 (c) -2.8 (d) 2\/659\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/24 - k**3\/6 + 699*k**2 - k. Let n(a) = -a**2 - 2*a - 2. Calculate -2*m(q) + n(q).\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aph. Give prob of sequence hp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) 5 (c) 0.4 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 601, 3 in increasing order.\nAnswer: -9, 3, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 3*c + 2*c - 1 - 6*c + c**3. Let j = 2 + 0. Let g be ((-2)\/(-2))\/(-2)*j. Let n(b) = 2*b**3 - 3*b**2 - 3*b - 3. Give g*n(u) + 3*w(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 25*n. Let o(z) = 90*z**2 + 675*z - 75. Let c(u) = -u**2 - 9*u + 1. Let i(d) = 75*c(d) + o(d). Give i(p(q)).\nAnswer: 9375*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3329831723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 + 0.05. Let q = -2 + 2.01. Let i = -1.99 - q. What is the second smallest value in i, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**2 - 23*m + 9. Let n(k) = -5*k**2 + 4 + 5 - 12*k - 4. Let p(o) = -11*n(o) + 6*v(o). List the prime factors of p(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (16\/(-4) - (-1)\/(-7))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11))**3 assuming k is positive.\nAnswer: k**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 8. Let t be a(-4). Suppose -g - t*g + 25 = 0. Sort -3, 3, g in ascending order.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/13)*j)**12 assuming j is positive.\nAnswer: j**(336\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4738*s + 4524*s - 9240*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 11*z**5\/5 - 10*z + 9. What is the first derivative of p(k) wrt k?\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 4*r - 32. What is o(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 21 = -3*g, 0 = -4*b + 8*b - 3*g - 9. Solve -2*d = -b*d + 2*t - 14, 0 = 2*d - 5*t + 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**6\/40 - 57*t**5\/80 + 67*t**4\/16 + 19*t**3\/8 - 99*t**2\/4 + 16*t - 3. Let c(r) = 0. What is r?\nAnswer: -22, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 145\/((-8845)\/1586)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 27.7. Let h = -140 + 140.3. Which is the nearest to -2\/5? (a) h (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sryxxxsxyrxrr. Give prob of picking 2 s and 2 y.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26880e3 - -3?\nAnswer: -26880e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = -b. Suppose -6*f + b*f = -16. Let c(g) = -f*g**2 + 6*g**2 + 3*g**2. Let r(l) = -10*l**2. Give r(c(h)).\nAnswer: -250*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 - 4*a**2 - 5*a + 4. What is the hundreds digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 582 - 120. Is 42 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433891 is divided by 108.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) + 23 + 61467\/(-3185). Which is bigger: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63716.\nAnswer: 2, 17, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 13}. Give prob of picking 1 p and 2 l.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 19, 8 in increasing order.\nAnswer: -5, -4, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 11*y + 0*y)*(-3*y**2 + 3*y**2 + 9*y**2) + (-2 + 2 + 3)*(2*y**3 + 2*y**3 - 5*y**3).\nAnswer: -84*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2670)\/(-9) - (198\/(-27))\/(-11) is divided by 103?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27045*d**2 + 25387*d**2 - 631364 + 631364 - 16956*d**2 as g + h*d**2 + k*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*j**3 + 2 - 2 + 117*j**3 - 27*j wrt j?\nAnswer: 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, t: 2, p: 1, a: 5, s: 5, w: 1}. What is prob of picking 1 p and 2 t?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88596 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 2:46 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11719 + 11723. Solve 6 = p + v + 2, 3*p - u*v = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 15*l - 5. Let i(t) = 3*t**2 - 13*t - 6. Let b(s) = -2*h(s) + 3*i(s). Suppose -2 = -2*y + 16. Determine b(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -26*o - 3. Let s(v) = -2*v + 12. Give s(g(n)).\nAnswer: 52*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from pppwwppw?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87\/5 - 241\/15. Is u >= 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*(1 + -3 - -8). Suppose -840 = -o*q + 2*f, 3*q + 3*f - 643 = -2*f. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.5 (c) -0.05 (d) 1272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 3850?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7.2. Suppose -22*n - 87 + 22 = 45. What is the closest to p in n, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 6*u**4 - 5*u**4 + 6 + 0 - 5 - 3*u**3 as v*u**2 + r*u**4 + f*u + x + h*u**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*q = -22 + 8, 5*s - q - 22 = 0. Suppose 4*b = 16, i - s*b - 14 = -10. What is the highest common divisor of 216 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b53 (base 14) to base 7.\nAnswer: 6333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-1 + -2 + 53 + -48 - -5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2109294 and 20502.\nAnswer: 35857998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 0.61. Let u = -0.09 + m. What is the closest to 2\/3 in u, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 17. Let z be 12\/((-34)\/(-28) + -1). Let i = z + -47. Let a(q) = q - 4. Calculate i*a(s) - 2*d(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 12210\nAnswer: 1\/1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l + 2. Let u be s(3). Let b = u + -12. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062 = 177*v + y + 3*y, -v - 62*y + 63*y - 6 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -404 + 25. Let q = -373 - r. Solve 3*z = -l - 8, -3*l + z - q*z = 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 - 271916682355.9.\nAnswer: -271916682310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25297*m*u**2 + 365*m*w**2 - 2*m - 2*u**2*w + 2*u*w**2 - 3*u + 12308 wrt m.\nAnswer: 25297*u**2 + 365*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(1 + (sqrt(9072) - (4 + ((sqrt(9072) + 2)**2 - sqrt(9072))) - ((sqrt(9072) + -3 + 1*sqrt(9072) + sqrt(9072))**2 - sqrt(9072)))).\nAnswer: -453682 + 3060*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -1699, -218 in increasing order.\nAnswer: -1699, -218, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**2 - x - 2. Calculate the lowest common multiple of u(-4) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -25. What is the remainder when 38 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119\/(-340)*(-18)\/21\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33 + 0 + -2 - 28\/14. Let q = -30 + v. Sort 2, q, -4, -2.\nAnswer: -4, -2, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (493\/34 - 16) + 26\/4. Solve y = 3*z - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12296889, -24593782, -36890675, -49187568, -61484461, -73781354?\n\"Answer: -12296893*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/36 - 83646\/(-486) is divided by -2 - 126\/(-2) - 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {y: 1, z: 8, a: 2, p: 2, m: 4, j: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -34.8. Let k = -6.8 + r. Let v be (4\/(-6))\/(1\/15). Is k not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115164226 (base 7) in base 12?\nAnswer: -24b8064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-14))\/(g\/((g\/(g*g\/(g\/(g\/(g*g*g**(-2\/25))))))\/g*g)))**(3\/8))**17 assuming g is positive.\nAnswer: g**(19023\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q**2. Let b(n) = -2*n + 7942. Determine b(s(t)).\nAnswer: 26*t**2 + 7942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m - 15 = 0. Suppose 0*u = 3*u - 36. Let c = -7 + u. Put c, m, -1 in ascending order.\nAnswer: -1, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6216885\/157 + -39598. What is the fourth biggest value in 5, 3, 9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -20856*z + 375402. Calculate u(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let c(k) be the third derivative of k**6\/120 + k**4\/6 - 2*k**3\/3 - 30*k**2. Calculate 4*a(m) - c(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66166, 66215, 66254, 66277, 66278?\nAnswer: 66251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*q**3 - 202*q**3 + q + 0*q + q - 35 as j*q + p*q**2 + s + v*q**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 4. Suppose 3*c - 18 = -z*c. Let h be (-21)\/(-52) - c\/12. What is the closest to -3 in -4\/7, -0.1, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -0.0343307, 13\/25?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1113310321?\nAnswer: 1113310310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v - 1. Let g(a) = -a**2 + 2*a + 2. Suppose 5*x - 5 = -20. Determine x*g(s) - 6*t(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 63\/(-504)*-384?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2754 and 107\/810?\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 446 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6086 + 6090. Let o(w) be the second derivative of 42*w + 21\/10*w**5 + 0 + 0*w**2 + 0*w**3 + 5\/12*w**q. Find the third derivative of o(i) wrt i.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9709 = 781. Let w(k) = 33*k - 1592. Let n be w(137). Let g = q + n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33001 (base 4) to base 11\nAnswer: 7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 18242800\nAnswer: 1\/3648560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4456.383 to the nearest 10.\nAnswer: -4460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2 - 2*x - 2. Let y(b) be the second derivative of 0 + 2*b + 0*b**2 + 1\/6*b**3. What is y(f(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/12 + b**4\/12 + b**2. Does 8 divide x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -26, -118, -1, 2, 3 in decreasing order.\nAnswer: 6, 5, 3, 2, -1, -26, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 1. Let c(u) = u. Let r(f) = -2*c(f) + g(f). Let v(m) = 4*m - 5. Suppose 108*a - 105*a + 45 = 0. Let y be 23\/(-8)*2 - a\/20. Give y*r(o) - v(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*k - 806*k + 431*k + 2.\nAnswer: -1224*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5 + 2)\/((-50952)\/330 + 165).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t. Let v(x) = -19709*x + 2. Calculate v(a(s)).\nAnswer: -315344*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 39956.\nAnswer: -3\/39956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgffffgh. What is prob of picking 1 g and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**3*p*p**(-1\/4))**(-17\/4)*((p*p**(-1\/4)\/p)\/p)**(-2\/5)\/(p**(-6)*p**(6\/5)) assuming p is positive.\nAnswer: p**(509\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4983.537 millilitres?\nAnswer: 4.983537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1560, -2\/15 in decreasing order.\nAnswer: -2\/15, -3, -1560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9093 + 3441. What is the remainder when (l\/9)\/(1*-4) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v**2 - 23*v + 12*v + 11*v to the form g*v**2 + h*v + x and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 944975*k**4 + 100624.\nAnswer: 3779900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 6*n. Let b(q) = 19*q**2 - 25*q + 1. Let w(p) = 9*a(p) + 2*b(p). Let g(m) = -m - 1. Let z be (-4)\/3*(-270)\/288*4 - 3. Give z*g(k) + w(k).\nAnswer: -7*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -4527276?\nAnswer: -4527305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.65 + 0.95.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose 0 = f - k. Let a(m) = 5*m**2 + 3*m - 1. Is a(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + 4*t + 5. Let b(u) = 21*u**2 + 16*u**2 + 1 - 38*u**2. Let h(s) = -2*s - 13. Let n be h(-6). Give n*p(a) + 6*b(a).\nAnswer: -2*a**2 - 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from rggrugmgw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*t - 12572 = -4*t, c - 5*t + 6264 = 0. Let n = c + 87933\/14. Calculate the common denominator of n and 0 + 1 + 52\/56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a03665 (base 15) to base 4\nAnswer: -131000301020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -55. Let j = 32 + -17. Let y = i - j. Calculate the highest common divisor of 63 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148 + -159. Let i(u) = u**3 + 10*u**2 - 10*u + 5. Determine i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 14, -994, -4 in descending order.\nAnswer: 14, 3, 0, -4, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 = m - 6*m, -4*m + 2*a = 12. Let s(w) = -w**3 - 2*w**2 + 4*w - 4. Calculate s(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3883.\nAnswer: 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -60 - 3\/4*m**2 - 27\/2*m = 0.\nAnswer: -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12453164 and -1577?\nAnswer: 12451587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 9 - 4 + (0 + 4 - 3)*(2 + 0 - 1))*((-2 + 3 - 3)*(3 - 5 + 4) + 10 + 12 - 8)*(-2*c + 1 - 1).\nAnswer: 680*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*q - 56380 = 0, -52*q - 11287 = -p - 55*q. What are the prime factors of p?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**2. Let t(c) = -2*c. Let m = 51 + -42. Suppose 0 = 3*q + m, 4*o + 4*q - 7*q = 25. Let h(k) = -2*k. Let i(r) = o*t(r) - 5*h(r). What is u(i(b))?\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -4.5. What is the closest to 2 in 4, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 789*z. Let c(f) = 2*f**2. Give c(l(a)).\nAnswer: 1245042*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 29*r - 56 = 0. Suppose -r*n = -1385 + 405. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1341*b**2 - 3175*b**2 - 11181*b**2)*(0 - 1 + 2)*(-1 - 2 + 4).\nAnswer: -15697*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from laalazzaaazalalz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26397 or 0?\nAnswer: 26397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5280)\/(-576)*-2*(-1 + 0). Which is greater: o or 18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - -2*1\/2. Suppose -4*b = -3*s - 4, 4*b = -3*s - 4 + v. Let r = -4 + 8. Solve s = r*n - 4 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390248.959 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.435 (b) -2.61 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 2*f**2 + f. Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*z**5 + 208*z**4 + 199290*z.\nAnswer: 7260*z**3 + 2496*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + 13*j - 17*j + 7*j - 1)*(117*j + 103*j - 166*j + (-2 - 2 + 3)*(-2*j + j - j)) as v + k*j**3 + m*j + w*j**2 and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(364)\/(sqrt(35)\/sqrt(5)) + -5.\nAnswer: -5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**4 + 12*o**4 + o**5 + (-4*o + 4*o - 2*o**2)*(-3 - 19*o**3 + 2 + 5*o**3).\nAnswer: 29*o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108.8 - 97. Let f = l + -13. Let w = f + 1.4. Which is the biggest value? (a) w (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1694 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 8 + 4. Suppose 2*j = 7*c - 2*c - 10, -o*j = 3*c + 10. What is the nearest to 1\/3 in c, -3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*f**2 + 41*f**2 - 59*f**2)*(-8 + 48 + 14 + (2 - 1 + 1)*(-1 - 3 + 2))*(-1 + 0 + 2) to the form y + z*f + m*f**2 and give m.\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 306930114 to the power of 1\/3, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26856790777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let f be 1\/((i - -3)*-5). Which is the nearest to f? (a) 5 (b) 1 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5\/3 (c) -1\/4 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 3. Suppose i = 5*d - 4. Let y(b) = b - 5. Let p be y(d). Which is bigger: -20\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - 3*s**5 + 6*s**5 + (-s + s**2 + s)*(2*s**3 + 0*s + 0*s) - 5*s**2 + s**5 + 5*s**2 - 11*s**5 + 8*s**5 + 6*s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, -4, -292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.8, 0.3, 3\/41, 40?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702092*m - 67181*m - 857591*m.\nAnswer: -1626864*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2.2 in descending order.\nAnswer: 2.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*d - 11, 0 = 4*d - 7*d - 3*h - 6. Let c(g) = 4*g. Calculate c(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 24*j - 400 = 0. Suppose 2*f - 295 = 19. What is the remainder when f is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 571 + -340. Let c be ((-10)\/(-4))\/(1430\/56628). What is the greatest common factor of c and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*f**2 - 6 + 0*f**3 - f**2 + 10 - 3 - 3*f**3 + 2*f in the form x*f**3 + m*f**2 + v*f + s and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23759?\nAnswer: 23, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + 1 - (1 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*o + 1262 = -236 + 243. Which is the fourth biggest value? (a) -4 (b) -1\/3 (c) 0.64 (d) 4 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 18*q**2 - 11*q - 14. Let h(y) = 6*y**2 - 4*y - 5. Calculate -8*h(a) + 3*l(a).\nAnswer: 6*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhqd when four letters picked without replacement from {h: 1, d: 1, t: 3, r: 3, q: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -50?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dopr when four letters picked without replacement from {r: 2, p: 2, d: 4, o: 1}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 - 323205456*j + 8705147232347328 = 0. What is j?\nAnswer: 53867576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(6\/4 + -2). Suppose 5 + 1 = -3*w - n*b, -3*w = -2*b + 6. Is w + (1*35 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**23*v*v*v*v*v*v)**(-5\/6))**(3\/10) assuming v is positive.\nAnswer: v**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**5)\/t**4)**(-4\/27)\/((t**0*t*t*t**(-1)\/t)\/((t\/(t\/t**7))\/(t**(-1\/2)\/t))) assuming t is positive.\nAnswer: t**(523\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - -2)\/(133\/(-266))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 6*f + 15. Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 11*m + 17*m + 2057*m**2 - 13*m.\nAnswer: 2057*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*s - 5, 5*h - 5*s = h - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**3\/6 - 7*p**2\/2 - 20*p. Let j(n) = 3*n - 2. Let z be j(-4). What is r(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 514*l**3 + 2*l**2 + l + 8. Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6222792 and 49584?\nAnswer: 12445584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 4318456?\nAnswer: 4318434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 312\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1315 divide 345109268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/4, 5\/3, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 0. Let m(h) = -4*h**2 - 26*h + 12. Let t be m(-5). Suppose -l = 5*s + 29, -3*s + t = 4*l + 175. What is the fourth smallest value in 1\/6, l, b, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-702)\/(-216))\/(33\/44)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, w: 6, v: 2}. Give prob of sequence mzv.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p - 5*t, 0*t + 3*t = -2*p - 12. Let f = 1 - p. Let g(w) = -2*w + 7*w - 10*w. Determine g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.483457 * 1.\nAnswer: 0.483457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 231063.\nAnswer: -46212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 5 + 3*d - 2)*(1 - 1 - 2*d).\nAnswer: -6*d**2 - 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1798360108.0000154 + 1798360285. Let y = f - 177. Round y to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Suppose -o = -y*o - 4. Put o, 4, -1 in descending order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9089*m + 135956. Determine p(-15).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275 - 5*w - 277 + 0*w)*(2 + 3*w - 2).\nAnswer: -15*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164402 (base 8) to base 13.\nAnswer: 211c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18570 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 0 + sqrt(200))*5 + sqrt(200) + sqrt(200) + 3)**2 + 2 + (sqrt(2) + 2)**2 + 2 + -2.\nAnswer: 724*sqrt(2) + 28817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-54)\/(-4))\/(-9)*-2. Solve 2*m = 4*l, 5*m - r*l + 5 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22065 * -9725\nAnswer: 214582125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740604666 to the nearest integer?\nAnswer: 27214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*y = -241*y - 31330 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3040*j**2 - 5910*j**2 + 2872*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.7 + 7.7. Let p = 0.09 - 6.09. Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 2*u - 1. Calculate t(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {f: 3, a: 5, c: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0\/h)\/h)\/h*h)\/(h*h\/(h\/(h*h*h**(-3)))*h)*(h\/(h\/((h*h**(-2\/13))\/h)))\/h*h**6\/h*h assuming h is positive.\nAnswer: h**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) - ((sqrt(108)*-6 - sqrt(3)) + sqrt(3))**2 - 6*sqrt(18)\/sqrt(6)).\nAnswer: 20*sqrt(3) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 12. Let w be z(-12). Suppose -6 = -2*l - w. Suppose 112 = 3*n - y, -3*n - l*y + 54 = -78. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130*g**3*r**2 - 223*g**2*r**2 + 3*g**2*r wrt g.\nAnswer: -780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.60691g in nanograms?\nAnswer: 89606910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x - 4. Let s be 3*(3 + x)*1. Suppose -12 + 3 = -s*p. Solve -2*g + 6 = 3*z, -3*z + 2*z + g = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8 + 2911\/(-355).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 + d**2 + 25*d - 16. Calculate a(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/8 + (-39)\/(-312). Let u(h) be the third derivative of -h**2 + y + 1\/24*h**4 + 1\/6*h**3 + 0*h. What is the derivative of u(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 2512\/28457?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -581\/2 - -312. Suppose -2*h = -2*i + 9 + 1, -4*h = -3*i + 23. What is the common denominator of 1 + ((-29)\/11)\/((-4)\/h) and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 3960.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 80700?\nAnswer: 80700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 328843920?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 52317*o - 104638 = 0. Calculate o.\nAnswer: -52319, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + o - 12 = 0, -5*f + 3*o - 21 = -f. Let u be (-1)\/f + 24\/9. Let s(g) = g**2 + g - 4. Let d be s(u). Solve 0*i = 2*i - d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2 - 16896*s - 4794552 = 0.\nAnswer: -8154, -294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/31)\/v**(-4\/11))**(2\/157) assuming v is positive.\nAnswer: v**(226\/53537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*y - 0*y. What is the remainder when y is divided by (270\/(-36))\/((-6)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d54 + 3dd8e?\nAnswer: 3ebe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/730 and 47\/511?\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*n + 23*n - 102*n + 21*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491510, 983011, 1474512, 1966013, 2457514?\nAnswer: 2949015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 5) + -1 + 4 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 7*f - 8. Let j be (-1 - -7) + (-8 - -10). Let l be w(j). Suppose l = -4*q + 8 + 176. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n + 12. Does 25 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22850 = 19*u - 21325. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*x = -184*x - 144 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7814*t**2 + 1. Let j(k) = 3*k - 41. Let r be j(14). Let x be h(r). Suppose 5*w + 5*v = x, -76 = -2*w + v + 3038. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/5, 0.3, 0.10692, 0.2, 0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j - 25. Suppose -8*g + 15 = -j*g. What is the remainder when 8 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1142)\/(-5))\/((-2)\/(-5)) + -1. Suppose -70*h = -73*h + p. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162368 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (-13 + -15 + 45).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*h = 2*c - 793, h + 1285 = 5*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40570, 41457, 42344, 43231, 44118?\nAnswer: 45005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {m: 2, x: 7, c: 2, j: 1, r: 2, f: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-38 - 8) - (9 + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.38, 2\/5, 3\/8 in increasing order.\nAnswer: 3\/8, 2\/5, 3.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-2\/27))\/s*s)\/(s\/(s\/s**8)) assuming s is positive.\nAnswer: s**(-160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 2\/7, -1\/35, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1204931, -1204849, -1204767, -1204685, -1204603, -1204521?\n\"Answer: 82*m - 1205013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1203.69159 and -27613?\nAnswer: 28816.69159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 0*i**3 - 2 - 2*i**3 + i**4 - 1 as a*i**2 + d*i**4 + f*i**3 + m*i + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l - 15. Let z be 3\/l + 9\/5. Suppose -z*q = -q. Solve 2*x = -i - q*i + 5, -x - 15 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2031 and 95\/222?\nAnswer: 150294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.26 to 0 decimal places.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -120*j + 4. Let s be d(0). Let v = -5.9 - 1.1. Which is the smallest value? (a) s (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-955)\/5*2\/(-1). Suppose 2*y - h = 5*y - l, 0 = -y + l - 130. Round y to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 13\/2*b**3 + 9\/20*b**5 - 1 - 60*b - 7\/2*b**4 + 9*b**2. Solve z(k) = 0.\nAnswer: -1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r - 27. Let d be (-9790)\/r - (-10)\/35. Let h = -416 - d. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - (11 - 3 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - 0?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 542*b - 542. Let h be j(-1). Is h at most as big as -9\/6083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -1\/2 (c) -12 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2247 = -g, 5*j + 0*j + 3*g = -3741. Let x = -99097\/22750 - 2\/1625. Find the common denominator of x and (-1 + (-61)\/10)\/((-900)\/j).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 82*r + 761. Let x(g) = 115*g + 1141. Calculate 7*m(f) - 5*x(f).\nAnswer: -f - 378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -20 + 9 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27255.41 rounded to the nearest 100?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138 + 602 = 174*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 3*g - 7*g)*(1 + 0 + 1) - 2*g - 3*g + 3*g + (-2*g + 1 - 1)*(-1 - 1 + 3) + 0*g + 0*g - g - 1942*g - 1393*g - 86*g in the form w + d*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3801, -11113, -25467, -50385, -89389, -146001, -223743?\n\"Answer: -587*k**3 + k**2 - 3206*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 42, -5, 86, -1694 in descending order.\nAnswer: 86, 42, 2, -5, -1694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) + (sqrt(252) - 1*(sqrt(252) + 4 - sqrt(252)))))**2 - (3 + 3 + 3 + sqrt(252)).\nAnswer: -102*sqrt(7) + 1015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -2 (c) 1\/874635 (d) 3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -32*c + 7564. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let a(h) be the third derivative of -h**4\/8 + 11*h**3\/3 - 9*h**2. Let i be a(6). Sort 5, r, i in ascending order.\nAnswer: r, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 13*c = 4*m + 17*c - 10, 4*m - 8*c + 40 = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22976 + 22980. Let n(w) be the first derivative of 5 + 1\/4*w**h - 5\/3*w**3 - 5\/2*w**2 - 4*w. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/9)*i*i**(-18)*i\/i**(-20\/3)*i**0 assuming i is positive.\nAnswer: i**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045001767 rounded to 4 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 - -165. Which is smaller: y or -65?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 2. Suppose 0 = -10*v - 116 + 274 - 88. What is the fourth smallest value in 5, 3, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192758 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -39 - -40) + -36 + (2 - 4 - 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/8*176\/220\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 77 - 113. What is the highest common factor of 76 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10*b**2 - 3475*b + 1735 = 0.\nAnswer: 1\/2, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/68147 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 1\/14*a**7 + 1\/4*a**4 + 9\/40*a**6 - 37*a**2 + 0*a**3 + 1\/112*a**8 + 0*a + 0 + 7\/20*a**5. Let z(j) = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m**2 + 4*m + 4. Let a(g) = -15*g**2 - 3*g - 3. Let p(t) = -4*a(t) - 3*w(t). Let k(z) = -z**2. What is k(p(y))?\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 48 = -14. Suppose 6 - 1 = -d - 3*f, 2*d - 26 = 3*f. Suppose -9*o + 10 = -d*o. What is the nearest to k in -5, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4387, -4390, -4393?\n\"Answer: -3*k - 4384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.2 (b) -0.1 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-6))\/(90\/108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 5)\/(-2) + -6. Sort 43, 0, m, 3 in ascending order.\nAnswer: m, 0, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dd32 (base 14) to base 9\nAnswer: -57435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*r = 213*r + 105462693. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/5319 and 151\/1182.\nAnswer: 10638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 980705225493 - 9\nAnswer: 980705225484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.1, -119, -19.5, -20, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*p**5 + 3*p**3*t**2 + 389*p*t**2 wrt p.\nAnswer: -500*p**3 + 18*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*v - 109*v**3 - 736*v + 364*v.\nAnswer: -109*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 - 57*l - 268. What is h(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -1007*s**8\/8 - 1775*s**4\/12 - 17*s + 22. What is the third derivative of v(k) wrt k?\nAnswer: -845880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 141*d**2 + 11*d + 11. Let q(m) = -47*m**2 - 4*m - 4. Determine -4*h(n) - 11*q(n).\nAnswer: -47*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**4 - 20 - 31*g**2 + 1\/6*g**3 + 4\/5*g**5 - g. What is the first derivative of c(f) wrt f?\nAnswer: 48*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 - 2*p - 5. Let v be u(-4). Let g be -6 + v - 6*-1. Suppose g*l - 15 = -4*w + 31, -2*w + 12 = -4*l. Solve 0 + w = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.7 + -8.7. Let n be ((-6)\/(-10))\/(4\/10). What is the smallest value in -1\/4, b, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.88271 milligrams in grams?\nAnswer: 0.06088271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + -2 + 9)\/(-2). Let b(x) be the third derivative of -1\/20*x**5 + 0*x + o*x**3 - 10*x**2 + 0*x**4 + 0. Let q(r) = -9*r**2. Give b(q(z)).\nAnswer: -243*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -17.\nAnswer: -69\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h. Let s(i) = 90*i + 5*i**2 - 90*i. What is s(b(f))?\nAnswer: 405*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let a = -1 + r. What is the third derivative of -5*f**2 + f**3 + f**2 + 2*f**2 + 0*f**a wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 212*w**4 - 217*w**4 - 16*w**3 + 49*w**3 + 480*w**2 + 67*w**3 = 0.\nAnswer: -4, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 28 = -2*l. Let a be (-2 + (-11)\/l)*4. Calculate the lowest common multiple of (-4)\/(-10)*(a - -2 - -30) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 0, 0*p = -5*p + 3*k + 3. Let t(b) = 7*b + 3*b**p + 0*b**3 + 2*b**2 - 4*b**2 - b - 8*b. Calculate t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5243566.\nAnswer: 2, 37, 59, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*i + 21 = 0, -3*r = -i + 1 - 4. Is 0 + -2 - (r - 14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28\/9*d**2 - 46\/9*d + 10\/9*d**3 + 8\/9 = 0.\nAnswer: -4, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.08 + -0.08. Let u = 4 - b. Let k = u - 3. What is the nearest to -1 in k, 0.4, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 - z**2 + 4*z**2)*(z + 2 + 0 - 1) + (2*z**2 + 2 - 2)*(-z - z + 4*z) + 2*z**3 - 6*z**3 + 2*z**3.\nAnswer: -z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-1)\/(-3)*15\/210.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:54 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96723 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p + 150 = -9*p - 27*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.9 and -0.48?\nAnswer: 3.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**2 + 7*a + 2. Let j(r) = r**3 - 20*r**2 - 14*r - 5. Give 2*j(x) + 5*z(x).\nAnswer: 2*x**3 + 5*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxz when three letters picked without replacement from zbxccbbcbxy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/29, 6, -1\/2, 0.25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2873 - 2877. Sort -5, l, -7, -27 in descending order.\nAnswer: l, -5, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.4, -5, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - n - 4 = 3*b, -4 = b - 3*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from aou.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 100 = -4*v, v - 2*n = -v + 38. Let u be (-90)\/(-11) - 4\/v. Let a(m) = -2*m + u*m - 5*m. Let h(s) = -2*s. Determine h(a(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45426911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**5 - 3064*n**2 - 37886*n wrt n?\nAnswer: -80*n**3 - 6128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1597, -1367, -1109, -823, -509, -167, 203?\n\"Answer: 14*d**2 + 188*d - 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24672827 = -2*k + 51881747. Let b = k + -13577287. What is b rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/105 + 17\/21. Suppose -4*o = -3*x + 7*x - 20, -4*x + 4 = 0. Suppose o*c - 10 = s, -s - 3*s - 18 = -5*c. Sort -1\/4, d, s in increasing order.\nAnswer: s, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 6*n - 20350 = 0. What is the remainder when n is divided by 99?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*i - 65118*g**3 - 15*g**2*i + 2431*g wrt g?\nAnswer: 6*i - 390708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 49*d - 54*d + 20984, 4*p - 42022 = -d. Is 79 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttz when three letters picked without replacement from tztwttzwt?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73280 = -37*w + 31134. List the prime factors of w.\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2.72633743?\nAnswer: -2.72633743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(600) + (-1*sqrt(600) - sqrt(600))))**2 + (2 + sqrt(19)*4 + sqrt(19))*6.\nAnswer: 1219\/100 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -5, 4 in decreasing order.\nAnswer: 4, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 60. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/82716 and -53\/1356?\nAnswer: 82716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4647 - 1104. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(8\/7))**3*((z\/z**(-9))\/(z**3\/z))\/(z**(1\/2)*z)**(-24\/7) assuming z is positive.\nAnswer: z**(188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75\/7 + 475\/28. Let z = 22531\/9480 + -2\/1185. What is the common denominator of w and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286 + -284. Suppose 11*f - v = 20. Let r(w) = -w**2 + 5*w - 2. Let h be r(3). What is the highest common factor of f and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c - 30*c + 13*c.\nAnswer: -70*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, z: 12}. What is prob of sequence kk?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14519*y**2 + 14571*y**2 + 4 - 29093*y**2.\nAnswer: -3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 185.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 2*a**2 - 2*a + 3. Let y be t(-3). Suppose 2*k + 2 + y = 0. Let n be ((-3)\/(-6))\/(k\/(-8)). Calculate the greatest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1815, -1815, -1813, -1809, -1803?\n\"Answer: q**2 - 3*q - 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 30*r + 33.\nAnswer: -3*(r - 11)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n. Let h(y) = 7*y - 4*y - y. Give t(h(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, 1, 5 in ascending order.\nAnswer: -20, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1425)\/(-285)*((-1080)\/25)\/6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20336)\/2542 - (1 + (-840)\/93).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6985462 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 2*c**3 + 3*c**2 - 4*c - 4.\nAnswer: -(c - 2)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -100*z**4 - 2446580*z**3 + 5383184*z**2 + 5480880*z + 1174464 = 0.\nAnswer: -24468, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 732\/7, -5?\nAnswer: 732\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 101963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 27*j**2 + 14*j**2 + 24*j**2 + 2*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2381 take away -747?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2 = 2*g, -4*r - 54*g + 12*g = -37*g + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -1291, -2864, -5053, -7852?\nAnswer: -11255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235*v**4 - 6*v**3 + 23*v**2 + 478514*v wrt v.\nAnswer: 2820*v**2 - 36*v + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1\/2 (c) 2 (d) -222\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5694336*t**3 - 2847330*t**3 - 2847029*t**3.\nAnswer: -23*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1012 - -4?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p + 14. Let y(w) = 3*w + 3*w**2 + 6 + 4*w - 7 - 8*w. Let v be y(-1). Let k(q) = -2*q - 5. What is v*j(z) + 8*k(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*m - 72. What is the remainder when m is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 < 2506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - h - 93*h**2 + 92*h**2 + 1 - h + 0.\nAnswer: -h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/585 and -44?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 3, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-20)*((-12)\/10)\/((-2)\/50)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 4*x**3 + 19*x**3 - 8*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4441, 4339, 4233, 4123, 4009?\n\"Answer: -2*z**2 - 96*z + 4539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.1109, 1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4814 - -18197. Suppose 2*j - 5*i - 6795 = y, 0 = -4*j - 5*i + 40296. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -382, -377, -362, -331, -278, -197, -82?\n\"Answer: w**3 - w**2 + w - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2 + 3*g - 4. What is w(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:01 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)\/r*r\/(r\/(r*r*r*r*r**(1\/9)*r))*((r*((r**(2\/3)*r)\/r)\/r)\/r)\/r**(3\/5))**43 assuming r is positive.\nAnswer: r**(11653\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -3799, -0.06, 20, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/48)\/(7\/(-21))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 100*p - 102*p - 16, 2*k + 8 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccnn when four letters picked without replacement from {c: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3565840611 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11460388 to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562620258 to the nearest integer?\nAnswer: 23720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(0 - 4))\/((-17 + -53)\/(-35))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809334409.\nAnswer: 3719, 486511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3219*c**2 + 614*c**2 - 4948*c**2.\nAnswer: -7553*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -33*1\/(-6)*(0 + 4). Calculate the common denominator of (8\/t)\/(4\/(-30)) and ((-30)\/11 - 0) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, y: 9}. What is prob of sequence yxx?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8808?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5078, 5102, 5126, 5150?\nAnswer: 5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 10*g + 4. Let u be ((-55)\/15 - -2)*(1 - -5). Give k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1\/(-3))\/(2\/(-9)). Determine i so that 8*i**k - 4*i**5 + 4*i**4 - 47*i**2 + 47*i**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 67, 57, 47, 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140456219 rounded to four decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/120 + u**5\/6 - u**4\/3 - 2*u**2. Let h be 9 + -1 - (5 - 6). What is the units digit of o(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*((sqrt(17) + 1)**2 + sqrt(17)) - (sqrt(68)\/(sqrt(32)\/sqrt(8)))**2)*1 + 5.\nAnswer: -18*sqrt(17) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:20 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2238 = -19*m + 2352. Calculate the remainder when 1306 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48610 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248751 is divided by 3114?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 3*p**2 - 6*p - 6. Let z be d(-4). Suppose 0 = -2*q + z. Factor -5*h**2 - 2*h + q + 4*h**2 - 2.\nAnswer: -(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 4*c + 2*c)*(-3 + 0 + 1).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -114329062545.536.\nAnswer: -114329062541.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 4. Suppose 20 = -5*s, -x*j + 5 = -5*s + 1. Let d be ((-1)\/j)\/(1\/12). Solve 0*m - d*m = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s**3 - s**2 - s + 2. Give k(-2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/217911 and 1\/5558642.\nAnswer: 316842594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3520118 divided by -1760059\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 767750, 1535497, 2303244, 3070991, 3838738, 4606485?\nAnswer: 5374232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-57)\/(-1007)*27\/81)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123526.\nAnswer: 2, 13, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31117 - -4.\nAnswer: 4.31117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59506436 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7043 + 7043. What is the third smallest value in -0.08, 26.2, t?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 324 = -4*o, -2*o + 4*o = -3*x + 163. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 725 - 811.8. Let m = d + 87. Let y = 0.11 - 5.11. Sort m, y, -1, 1\/30 in decreasing order.\nAnswer: m, 1\/30, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 123. Suppose 6*t + h*t = -66170. Round t to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from upuuyupuulyyluppuuyl.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.00095 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*s = -6*s + 15, -5*w - 3*s + 38 = 0. Solve w*r + 1 = -34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvryva. What is prob of picking 2 a and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -x - y, -126*y = x - 119*y + 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4013 = -4*z - o, 0 = 5*z + 2*o - 5045. Does 62 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppppppwpwffppp.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*h**3 - 8\/9*h**4 - 2\/9*h - 2\/9*h**5 - 8\/9*h**2 + 0.\nAnswer: -2*h*(h + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 28. Let a(q) = 2*q + 6. Let t be a(i). Let g be 1*4\/(-8)*t. Sort g, 3, 0.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)\/(m*m\/(m\/m**(-6))*m)*(m*m**0)**(5\/8))\/((m**(1\/4))**(-36\/5))**(-10\/11) assuming m is positive.\nAnswer: m**(197\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1056\/(-340))\/(-22)*(-50)\/20.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1\/(-6)*-262. Let r = t - -42. Let k = 11 + -21\/2. Which is the closest to r? (a) 1\/6 (b) k (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c + 49\/2*c**3 + 0 + 0*c**4 + 0*c**5 - 79\/60*c**6 - 147*c**2. Differentiate g(i) with respect to i.\nAnswer: -474*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 3, i: 6, r: 2, c: 5, m: 1}. Give prob of picking 1 e and 1 m.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -28*k**3 - 24*k**2 - 24*k - 24. Let y(w) = -w - w**2 - 7*w**3 - 10*w**3 - 1 + 16*w**3. Calculate d(a) - 24*y(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1268 - 125. Let o = 2270 - p. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p - 6. What is the units digit of (-23 - 3)\/(-2) + p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 - 37*l**2 - 62*l**2.\nAnswer: -82*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-1125)\/(-218)) + 4408\/(-725) + 6.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*y - 16 = -4*o, 0 = 2*y + 2. What is the second derivative of -4*m + 9*m + 2*m**o - 6*m wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -450, -1596, -3448, -6012, -9294, -13300, -18036, -23508?\n\"Answer: -n**3 - 347*n**2 - 98*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*y**5 + 1574*y**4 + 341678*y**3\/7 + 1729022*y**2\/7 - 1072720*y\/7 + 22472 = 0. Calculate y.\nAnswer: -53, -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081893.\nAnswer: 3, 1360631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 12:57 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 961417776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 14) + 3\/((-18)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 78*y + 48 = 0, 0 = 5*u + 1266*y - 1261*y + 170 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(176) + sqrt(176) + -3 + sqrt(176) + 4 + 2 + sqrt(99).\nAnswer: 11 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 352, 202, -162, -740, -1532, -2538?\nAnswer: -3758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -7.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**5 + 3*l - 1\/30*l**6 + 0*l**4 + 0*l**2 + 1\/2*l**3 + 0. What is the second derivative of m(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483731.\nAnswer: 53, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15\/225 + 23\/105\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - 1f6?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 + 1346*b + 582. Determine m(40).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1050*m + 77. Is a(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.128 + -67.128. Let t = -43 - s. Let z = 29 - t. Which is the smallest value? (a) z (b) -2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttptpttptt. Give prob of sequence tt.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p - 7. Let j(n) = n. Let l(w) = -d(w) - 5*j(w). What is l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = -20*o - x - 14, -4*x + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 a factor of 973516452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275156908.\nAnswer: 2, 13, 5291479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*p - 4, -u + 26 = -3*p + 19. Sort -3, 0.3, -6\/7, u.\nAnswer: -3, u, -6\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2589026*a. Let j(s) = 16*s. Determine j(k(q)).\nAnswer: -41424416*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*132\/110?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 34*q**2 + 20*q**2 + 35*q**2.\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 547? (a) -0.05 (b) 1\/3 (c) -9 (d) 3\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-15))\/((-30)\/25). Factor -1\/3*l**2 + 1\/3 + 1\/3*l**3 - g*l.\nAnswer: (l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2639 and 314083224?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -23192624.2.\nAnswer: -23192622.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 67, 24, -17, -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*w = -8*p - 17*p + 35*p - 7*p - 14, w = 3*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -23553, 5 in descending order.\nAnswer: 5, 3, 1, -23553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33000 divided by -30?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*(c*c**(-12))\/c)**(-8\/9) assuming c is positive.\nAnswer: c**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*o**2 + 1 + 101*o**2 + 120*o**2 to the form a*o**2 + f*o + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/6 + 302*w**3\/3 + 17509*w**2 + 2091350*w\/3 + 47955625\/6 = 0.\nAnswer: -277, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 3 = 3*l - 2*z, -5*l - 3*z - 7 = 0. Suppose -l = q - 3. Suppose 6*v + 10 = v. Sort -1, v, q in increasing order.\nAnswer: v, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + m - 3 = 0, -3*q - 2*m + 6 = 10. What is the second derivative of 4*x**2 - 37*x**q - 24*x**2 - 7*x**2 - 2 - 6*x wrt x?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1183, -2366, -3555, -4750, -5951, -7158, -8371?\nAnswer: -9590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-3)\/2)*0. Which is the nearest to x? (a) 1 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r + 3. What is z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/3))**(-27)\/(b**(2\/13))**4 assuming b is positive.\nAnswer: b**(-242\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 3468?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8 + (1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 81*f**2 - 401*f - 1. Let a(u) = u**3 - u**2 + 35. Calculate the remainder when a(0) is divided by d(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/d*d*d*d**(-5))\/(d**0)**(5\/8))\/((d*d**8*d\/d**(-4))\/(d*d**(2\/5)*d*d)**(1\/7)) assuming d is positive.\nAnswer: d**(-333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125856 and 143469?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -17427521006832?\nAnswer: -17427521006832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11253)\/1980 + 7000\/1200?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 48 = -0*k. Let g = 8 - 6. Suppose 0 = -g*o + 63 - 1. What is the remainder when o is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u + 7. What is the remainder when 12 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/(-3))\/5)\/((10\/(-510))\/((-2)\/6))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -3*o, 5*l - 5*o + 8*o - 31 = 0. List the prime factors of 51\/(-1)*l\/(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -20. Solve 10 = 2*n + 5*j, -n - j = -0 - b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)\/z)**36\/(z**3*z\/(z\/((z\/(z*z\/((z\/z**(-2\/13))\/z)*z*z))\/z*z*z)*z)) assuming z is positive.\nAnswer: z**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -233622 (base 7) to base 3\nAnswer: -2010211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, -259, 2583\/11 in descending order.\nAnswer: 2583\/11, -8\/7, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*24\/90\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 9:46 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = -26*m + 23*m. What are the prime factors of (m\/20)\/(5\/25)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242101210 (base 5) in base 15?\nAnswer: bb91da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 81.6255.\nAnswer: 81.4255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 132 = 30*d. Let u be 132\/d - -17*1\/4. Put u, -14, 0.5, -0.2 in descending order.\nAnswer: u, 0.5, -0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.038 + 0.038. Let p = r + 33.6. Let c = -1.4 - p. What is the third biggest value in 5, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/80*(-10)\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61123*i + 74222 = -62381*i for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7032*y**2 + 6810*y**2 - 13841*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 94, 202, 304, 400, 490, 574, 652?\n\"Answer: -3*o**2 + 117*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50733702 and 11745.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/39)\/(1 - 3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -4*p - 63. Let s be p\/(-9) + (-6)\/27. Suppose -u - 201 = -s*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 1 - 2*u + 2*u)*(-3*u + 0*u + 2*u) + (-2*u**2 - 2*u**2 + 5*u**2)*(4*u + 637 - 637) as c + d*u + l*u**3 + r*u**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-4)\/32) - (-3184)\/(-128). Which is smaller: -32 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25800474*n**2 - 19501828 wrt n?\nAnswer: 51600948*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 193408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkgqquuqqgguqq. Give prob of picking 1 g and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-874)\/(-69))\/((-2)\/(-15)). What is the highest common divisor of s and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0 - 3) + (-5 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -26304*q - 34. Let k(f) = -f. Give x(k(l)).\nAnswer: 26304*l - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 536*k + 507. Let g(j) = 7*j**2 - 1062*j - 1014. Let c(x) = -6*g(x) - 10*v(x). Factor c(z).\nAnswer: -2*(z - 507)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 174 - 6*y**2 - 69 - 105.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022047 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 18. Suppose -r*v - 17 = -3*v. What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (2 + 2 + -3*sqrt(32))**2)*6.\nAnswer: -3708 + 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose 4*y - 55 = -15. Let q = -7 + y. Sort q, -1, u.\nAnswer: -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -26*s**3 - 576*s**2 - 1570*s - 228 = 0.\nAnswer: -19, -3, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 0.3, -46, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)\/((-10)\/(-50)). Suppose -2*f + 4*n = -w*f + 2545, -5*f + 4211 = -n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (-25 - -34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91319.87 and 0.1.\nAnswer: 9131.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/3))**(-2\/31)*u**5*u*u*u**(-6)*u*(u**(-1\/3))**(-17\/2)*u\/u**(6\/5)*u*u\/u**(-2\/3) assuming u is positive.\nAnswer: u**(6749\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 0*s**2 + 4*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5947881.9 minus -0.04?\nAnswer: -5947881.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p + 28*p - 15*p. Let x(f) = -5*f. What is y(x(u))?\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*20\/(-50). Suppose 0*v - 3*v + 4 = r, -2*r = 5*v - 6. Are h and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.98 - -41. Let d = x - -0.38. Sort 0.5, d, -5, 2 in increasing order.\nAnswer: -5, d, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 1\/3, -76?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14 = -1. Suppose 0 = -4*l - 2*f + 1182, -3*l + 903 = w*f - 7*f. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 9. Let u = -1524 - -1529. What is the second biggest value in o, -2\/5, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:15 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 605?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumymwuyxy. What is prob of picking 1 x, 1 m, and 2 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/(l\/(l\/l**(1\/9))))**(-17\/7) assuming l is positive.\nAnswer: l**(-34\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3591*h**2 - 92*h - 47. Give b(-1).\nAnswer: -3546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 53. Calculate the remainder when 42 is divided by 154\/19 + d\/247.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b + 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2. Let m(p) = -15*p**2. Determine n(m(g)).\nAnswer: -450*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 458137389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 92*b**3 - 7*b**2 + 16*b + 13. Let p(d) = 138*d**3 - 11*d**2 + 24*d + 20. Let u(n) = 8*k(n) - 5*p(n). Is u(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 4, 0.129, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 27 = -21. Let y be u\/10*(-10)\/3. Solve -w - 3 = -4*w, 5*d = -4*w - y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 12290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 1\/48*c**4 + 0*c**5 + 0*c - 11\/3*c**3 - 2 + 0*c**2 - 1\/720*c**6. Let w(g) be the third derivative of x(g). Factor w(y).\nAnswer: -(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - v = 200, 2*v - 51 = 3*p - 2*p. Let f be (-3)\/4*(-12064)\/(-232). Is f less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4424 and 1\/16.\nAnswer: 8848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b + 5*b = 12 + 84 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 14 + 15 + 3 - h**3 - 37 to t*h + j + s*h**2 + d*h**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**2 - w**5 + (5 - 2*w**4 - 5)*(w - 5*w + 2*w) + 5*w**5 + 0*w + 0*w)*(26 + 13 + 4)*(1 - 2 - 2).\nAnswer: -1032*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/227 - -444\/1135. Let r = 8.02 + -8. Let h = r - 0.12. Which is the closest to f? (a) -5 (b) h (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 + 3*r - 1. Let a be i(1). Let m be (-3 - (-4 + 5))*a. Suppose 2*h = m*h - 160. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-90))\/((-15)\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/60 - k**4\/12 + k**3\/2 - 19*k**2 + 2. Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 + 8584*r**3 - 6693648*r**2 + 2213775160*r - 254254466092 = 0. What is r?\nAnswer: 253, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/24 + 2*w**2. Let d(s) = -21*s - 4. Let f(g) = 14*g + 3. Let h(x) = 5*d(x) + 7*f(x). Determine -h(r) - 6*z(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14023868.\nAnswer: 2, 137, 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -3\/7, 1\/4, -5, -77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -22*d + 50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -0.12, -536, 0.5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43*(-44)\/2838)\/((-14)\/18*2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 e when three letters picked without replacement from {x: 11, e: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3290.584um to meters.\nAnswer: 0.003290584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 22*o + 2314 = 4*m + 2082, -5*m + 91 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/12 - 9*u\/4 - 7\/3 = 0. What is u?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -1\/68 (b) -2 (c) 22 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 17*b**2 - 1\/12*b**4 + 0 + 0*b**3 + 0*b. Suppose 0*i - 2*i + 8 = 0. Calculate l(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 355962260 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/40 + r**5\/15 - 49*r**4\/24 - 3237*r**3\/2 - 6*r**2 + 364. Find the first derivative of y(f) wrt f.\nAnswer: -9*f**2 + 8*f - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 72*k = -77*k + 9, 5*x = -k + 45 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 433.58661 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1209\/558)\/((-4)\/6)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*v - 2*x, -48 + 68 = 11*v - 2*x - 80 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 34512237?\nAnswer: -5\/34512237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 40. Suppose 2*s + g = -13. What is the remainder when 2 is divided by 6\/(-8)*16\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:11 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**2 - 6 + 2 + 3 + 0 to the form w*y + r*y**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 0*y + 0*y + y. Let k(d) = -2*d**2 - 4. Let p(g) = -2*g**2 - 5. Let z be 2\/(-6) - (-32)\/6. Let a(m) = z*k(m) - 4*p(m). What is v(a(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:48 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137, -149, -195, -281, -413, -597, -839, -1145?\n\"Answer: -f**3 - 11*f**2 + 28*f - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*i**3 - 122*i + 1 + 2*i**2 + 123*i - 2*i**4 in the form w*i**2 + s*i**3 + h*i + f + u*i**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 33. Let d(c) = 1. Let i(u) = -6*u + 3. Let y(n) = m*i(n) - 6*d(n). Find the first derivative of y(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3 - 2. Suppose -2*f + 61 - 47 = 0. Solve -2*n + x = -f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 51629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148931551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-1 - 3 + 3)*(-11*k + 5*k - 7*k) + k + k - k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1))**2\/(f**4*f*f*f*f*f**(4\/7)\/f) assuming f is positive.\nAnswer: f**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 1550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2475407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230315)\/3786 + (-238)\/(-4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17802121 - -4217\nAnswer: 17806338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 6*t**2 - 6. Calculate y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29, 326, 1281, 3136, 6191?\n\"Answer: 50*s**3 + 5*s - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465*c + 51*c + 3437 = -82*c - 6151 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.3 (b) 4\/3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78, 316, 736, 1344, 2146, 3148, 4356?\n\"Answer: j**3 + 85*j**2 - 24*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -152*j + 157*j, 3*w = 2*j - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = -4*w + 53802, 5*w = -2*q + 67253. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 4956 = 11*r - 48*r. Solve -2*j + 94 = r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 92?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 326 + -15?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73535305 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.23, 1\/3, 3, 2, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 532, 1029, 1512, 1975, 2412, 2817, 3184?\n\"Answer: -o**3 - o**2 + 507*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66594695 is divided by 1302.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 11. Let l be o + -8 + 0 + 3. Which is the nearest to -0.1? (a) l (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 + 0.32. Let f = 1.3 + r. Let l = 1859\/7 - 266. Which is the nearest to 1? (a) l (b) -1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 - -29e?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19868 is divided by 1755?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 2*m**2 + 7. Calculate z(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 11*c**2 + 16*c + 58. Let n be m(-12). Solve 3 = 5*h + 3*y, -5*y = 2*h - y + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165 - -179. Suppose -4*w = m - 468, y*m - 20 = 19*m. List the prime factors of w.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237693 is divided by 3432.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (50\/225 - 8\/(-18)) + 26\/6. What is the third biggest value in 2\/19, p, 13, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 10. Let y be p(10). Let n = 2 + y. Let q be (2 - 7)\/(n\/(-10)). Round q to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-20))\/((-2)\/(-20)). Let h be u\/(-16) - 39\/(-36). Let x = 447\/5 + -90. Which is the smallest value? (a) h (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/(-12) - 5\/(-15). Let u(g) = 15*g + 2 + k*g + 2 - 22*g. Determine u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 25*t**2 - 6*t - 429. Calculate f(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 21 - 48 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2. Let x be -3 + 4 + 2 + -1. Suppose -r = 3*h - x, r - 2*h + 6*h - 2 = 0. What is k(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and -31\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 276*j - 278*j + 2280. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 2) to base 8\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = l, 7 = -2*l - 5*w + 4*w. Let c = l + -2. Let i(n) = 3*n**2 - 4*n + 4. Let y be i(c). What is the highest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 1.1. Let f = v - -1.5. Let z = f - 0.2. What is the second biggest value in z, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-4\/9)\/(d**1*d**(7\/3))*(d**(-1)*d)**(1\/5)\/(d\/(d\/(d\/d**(8\/5)*d))*d\/(d\/((d*d\/d**(-2)*d*d)\/d))) assuming d is positive.\nAnswer: d**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3090 take away -0.9?\nAnswer: -3089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 3. Let s(f) = 12*f + 21. Let o(b) = 3*s(b) + 21*w(b). Let t(u) = -18*u - 36 + 36. Calculate o(t(k)).\nAnswer: -270*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1230\/164*(3 + (-62)\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 32 - 19. Let d be (-665)\/o - (-8)\/52. Let i = d + 69. Solve 5*j = 3*g - i - 7, 0 = -4*j - 2*g - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 1:05 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/((-3240)\/63) + 2\/(-5). Which is the third biggest value? (a) y (b) 5 (c) -0.5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 16*m**2 - 11*m + 80. What is a(16)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000121908 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 13) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.4 (c) 23 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)*v)\/v*v*v**0*v\/(v\/(v**1*v))*v**0*v*v**4\/(v*v**(-1\/3)*v)*(v*v\/v**(-1))\/v**(1\/3) assuming v is positive.\nAnswer: v**(115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-14))\/((-12)\/(-5280)*50)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37010.26 + -37010. Which is the third biggest value? (a) 3 (b) -2 (c) 3\/5 (d) r (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2912\/130*-5)\/(17\/(153\/18))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11433*-1978\nAnswer: 22614474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 35 + 58. Suppose 2*x + 205 = 4*v - x, -5*v - x + 242 = 0. Let d = a - v. Calculate the highest common divisor of 220 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 20.2. What is the biggest value in 7, m, 1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**3 - 6*j**2 - 3*j + 76. Let c(d) = 6*d**3 + 5*d**2 + 3*d - 74. Give -6*c(i) - 5*y(i).\nAnswer: 4*i**3 - 3*i + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (10 - (59 - 49))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -1 - 119. Let c(r) = -r**2 + 33*r - 12. Let s be c(24). Suppose -2304 = -21*b - s. Calculate the greatest common factor of b and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1764, 1760, 1754, 1746, 1736, 1724?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1313 (base 4) to base 7\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0 + 1\/2*o**3 + 0*o**2 - 6*o - o**4. Find the second derivative of w(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 660315, 660318, 660321, 660324, 660327, 660330?\n\"Answer: 3*o + 660312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*y - 5 + 1, 3*y = -3. What is the greatest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 3*j - 3*j - 5. Let z be g(-7). Solve 0 = 3*c + 4 - z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - -6) + -1 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1209039 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -45*f**2 - 3*f + 3. Let i(l) = 320*l**2 + 20*l - 20. Let o(z) = -40*c(z) - 6*i(z). Let v(k) = -k. Give o(v(g)).\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(225)*1 - -5*(sqrt(225) + (sqrt(225) - (sqrt(225) - 1*sqrt(225))) - sqrt(225)))\/(sqrt(35)\/((sqrt(28) + sqrt(7))*-5)))**2*4.\nAnswer: 10368000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1684*h + 50513. Give j(30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740466 divided by -31.\nAnswer: -23886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r - 203. Let j be l(-19). Solve -j*h = -337 + 325 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 131 = -4*j. What is the greatest common factor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11344 + 1.28656. Which is the closest to 2? (a) h (b) -2\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:00 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 50. Suppose 4 = f*v + u, 5*v - 6 = 2*u - u. What is the units digit of (v\/(-2))\/(0 - (-3)\/(-258))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*q**4 - 583*q**3 + 1168*q**3 - 588*q**3 to o*q**2 + i + v*q**3 + h*q + y*q**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -121*i**6\/40 - 58*i**3 - 5*i**2. What is the first derivative of k(m) wrt m?\nAnswer: -1089*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85257?\nAnswer: 3, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/6000)\/(1\/(-4)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1386\/(-72) - -11) + 9 + -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/256*20)\/(75\/(-140))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 - 2*r**3\/3 - 5*r. Suppose 21 = 5*o - 39. Calculate the smallest common multiple of b(-2) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 927, 667, 407, 147?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.342 - -0.342. Put -3, l, -10 in increasing order.\nAnswer: -10, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v + 43*v - 5016 + 5017 - 21*v. Let h(n) = -3*n. Give u(h(x)).\nAnswer: -123*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4049 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-58.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 33. Suppose f = -0*f + h*f. Suppose -5*t + 2*s = -7, 0*s + 2*s - 8 = f. Solve 3 = t*i - 4*a, 2*i - 3 = -i - 3*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 + 4035*p - 19276040 = 0. Calculate p.\nAnswer: -2408, 1601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323213 (base 4) in base 11?\nAnswer: 9026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 107*b**3 - 131*b**3 + 92*b**3 + 5*b**2. Let p(s) = -34*s**3 - 2*s**2. Determine -2*o(l) - 5*p(l).\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/11 (b) 4 (c) -1\/4 (d) -3 (e) -116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 7, f: 2}. Give prob of picking 1 i and 1 f.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = -48*s - 80. Sort 5, 3, s, -20 in decreasing order.\nAnswer: 5, 3, s, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10647?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/20 - o**4\/6 + o**3\/6 - o**2 - 8*o - 1. What is i(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-240)\/28*(-14)\/3. Let v(g) = -g**3 + 7*g**2 - 8*g + 9. Let d be v(6). Let x be 12\/27*d*-12. Calculate the highest common factor of x and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -7. Let u = 2 - o. Solve 3*s + u = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 33*m - 2. Let k(z) = 34*z. Determine k(s(l)).\nAnswer: 1122*l - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**2 - 11*q + 256. Let y be r(13). Is y at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) -2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.694 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84892 is divided by 1212?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 + 3*u**3 - u**3 + 4*u**2 + 14*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from xkxxxkxxxvlxxuxkux.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 742757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43974, 41836, 38270, 33270, 26830?\nAnswer: 18944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 59430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/20 + 15*a**4\/4 - 225*a**3\/2 - 45*a**2 + 2. Factor z(q).\nAnswer: -3*(q - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/n*n**(5\/2)*n*n**1*n*n**(-1\/2)*n*n*((n\/n**(-1\/3))**(-1\/14))**41 assuming n is positive.\nAnswer: n**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:57 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36789489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -1\/30026898 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2760 - 16*c - 2760)*(8 - 5 + 5).\nAnswer: -128*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = -2*q + 196, 216 = 2*q - 2*n. What is the highest common divisor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273637 and 691222?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 8*d + 3*d - 4, -20 = 5*q - 2*d. Suppose 14 = 4*a - 18. Let f be a\/(-54)*(-6)\/q. What is the third biggest value in 2, f, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/78)\/((-120)\/(-90488)). Let h = 2\/585 + k. Let r = h + 39. Which is bigger: -1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738368, 737567, 736766, 735965, 735164?\nAnswer: 734363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/24 + 4*m**3\/3 + 3*m**2. Let l(r) be the second derivative of -r**4\/12 - 2*r**2 + 2*r. Let s be l(0). What is x(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 108512*j - 735928384.\nAnswer: -4*(j + 13564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.053 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7975 and 25.\nAnswer: 7975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d - 5 + 15*d + 7 - 18*d. Calculate q(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4356*u - 4356*u - 137*u**2 as n*u**2 + w + h*u and give n.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 > 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.2538 meters to millimeters.\nAnswer: 816253.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/16 and -117\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-205)\/(-65) + 3\/(-26)*20\/15. Solve -k*o = -32*s + 30*s - 11, 9 = -s + 5*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + 50145?\nAnswer: 50050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8 bigger than -2263435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2668 - -2798. Calculate the remainder when l is divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-5)\/150). Let r be (-66)\/a*(9 - 4). Suppose 0*h - r = -2*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 - 714 = -95*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 3*s - 66. Let d(t) = -t + 19. Let v(g) = -g + 7. Let z be v(0). What is the smallest common multiple of d(z) and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 14*n**2 + 10*n - 14. Let t(g) = -2*g**3 - 13*g**2 - 9*g + 15. Let m = -39 + 35. Let i(q) = m*t(q) - 3*r(q). Solve i(p) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 36761*y**2 - 55*y - 26749. Let r(u) = 7354*u**2 - 10*u - 5350. Let t(i) = 4*h(i) - 22*r(i). Differentiate t(m) with respect to m.\nAnswer: -29488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32948441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/600 and -59\/200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*d + 10 + 10, 1 = 5*p - 2*d. Let t be p\/(-2*(-3)\/(-30)). Suppose 0*x + 270 = t*x. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.4, 1\/5, 2.5, -4\/7, 2\/1103?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = -n, 0 = -y - y - 4*n + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80331963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1199\/3706*864\/44. Factor -216\/17*r - 24\/17*r**3 + 162\/17 + 2\/17*r**4 + o*r**2.\nAnswer: 2*(r - 3)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 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: List the prime factors of 1762092831.\nAnswer: 3, 67, 457, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 20, 2*q - 158 + 148 = -3*q - g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009781 rounded to 7 dps?\nAnswer: 0.0000978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = 3*s - 1, 3*q + 4*s = 16. Let c = 195 + 61. Let t = c - 248. Solve z - 2*p = -3*z, -q*p = -4*z + t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -y - 1, 2*t - 2 = 3*y - 13. Suppose 5*f + 10 = 0, -g - g - 4 = t*f. Let k be (1 + 2\/(-3))*-2. Is k less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6411*w - 2284 wrt w.\nAnswer: -6411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 - 4*r + 72. Let o be w(0). Suppose -s + 125 = 5*v - 6*s, -o = -3*v + 4*s. What is the greatest common factor of v and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:08 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56995 (base 10) in base 5?\nAnswer: -3310440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22953644?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (194\/679)\/(4\/(-14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - ((2 - 0) + -1)) + 270 + 400 + -734.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/180 + 2*x**5\/3 + 13*x**4\/4 - 25*x**3\/2 + 17*x**2. Let h(t) be the first derivative of a(t). Factor h(q).\nAnswer: 2*(q + 1)*(q + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 + 812754*t**3\/5 + 55049047527*t**2\/5 + 220186437156*t\/5 + 220183186188\/5.\nAnswer: 3*(t + 2)**2*(t + 135457)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(1\/56)*t\/(t\/((t**2\/t)\/t))*t\/(t\/(t**(7\/6)\/t))*t)**(-6\/17) assuming t is positive.\nAnswer: t**(-197\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -583, -874, -1165, -1456, -1747?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 31*m**3 - m. Suppose -l + 8 = 3*l. Suppose 0 = -l*i + 3*i - 1. What is the remainder when u(i) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from ggxnxjdxdgjxdxgxdnnn.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = -105*t + 277 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let u = i + 2. Is 19\/(1 + 0 - u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539835, 539880, 539925, 539970, 540015, 540060?\nAnswer: 540105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.8, -0.02, -4, -1.201, 3, -0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = 32*v - 27*v. List the prime factors of v.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbububbuuubbb. What is prob of sequence ubbb?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 627, 624, 619, 612?\n\"Answer: -h**2 + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4*13 + 2. Let h be -1 + 42\/6 + 152\/(-24). Is m less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 - t**2)*(0*t + 5*t - 4*t) + t**3 + 0*t**3 + 2*t**3 + (-3 - 1 + 3)*(-12*t**3 + 12*t - 12*t) - 247*t**3 - 279*t**3 + 388*t**3.\nAnswer: -124*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(2\/5))\/u)**(22\/9)\/(u**0\/(u*u*u**0)) assuming u is positive.\nAnswer: u**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.85 + -0.05. Let w = o - 1.3. Which is the third smallest value? (a) w (b) 2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26052\/(-3250) + 8 + 61492\/(-500).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/1 - -146)*(-2)\/2. Let u = 276 + x. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + 2252. Let j(b) = 2*b - 30. What is j(m(s))?\nAnswer: -8*s**2 + 4474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p = 41*p + 55. Let s be 183003 + p\/(-11) + 4\/2. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 150 = -5*h. Suppose -10*c - 7*c + 289 = 0. Let z = h - c. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10939157, -10939168, -10939179, -10939190, -10939201, -10939212?\n\"Answer: -11*f - 10939146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*j**3 + 5618082*j**2 + 40932813*j + 11236470 = 0. What is j?\nAnswer: -7, -2\/7, 267535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*c + 18 = 0, 1144*d - 4*c = 1142*d + 34 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 14679*s - 44064 = 0 for s.\nAnswer: -4896, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24135173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 69?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9))\/((-6)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 26 - 47. Let j(x) be the second derivative of x**3\/6 + 11*x**2\/2 + x. Let l be j(c). Solve -a - 4*o - 8 - 9 = 0, -3*o - 8 = -l*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2791.01 - 2863. What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 9. Let j = d - 0.4. What is the biggest value in 0.5, j, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 434, 1717, 3852, 6833, 10654, 15309, 20792, 27097?\n\"Answer: -j**3 + 432*j**2 - 6*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2938688 and 151\/119136.\nAnswer: 8816064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -24.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 0.1, -7\/59, -20, 0.5, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*i - 38 = -0*c, 3*c = -i + 43. Is c at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1599780063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o = -s + 49509 - 49716, s = 4*o - 79 for s.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.3. Let w = k + 0.9. Let x = w + -0.5. What is the third smallest value in -1, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 11. Let i(a) = a - 6. Let k be i(0). Let w be p(k). Suppose 0 = x - 3*t - 8, 0 = -5*x - t + 28 - 4. Solve -v = -6*v - w*o, -v - 12 = x*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1750 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19478 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4952 and 0.121.\nAnswer: 1.6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/84 + 6\/(-14) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwgwgwwwfwwffwff. Give prob of picking 1 w and 1 f.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1416.8 and 0.16?\nAnswer: 226.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 - 1522*i - 212 + 106 in the form b*i + t and give b.\nAnswer: -1522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:02 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41731199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q\/q**(-2\/5)*(q**(2\/5))**(-16)*(q**(-3\/4)*q\/((q*q\/q**(3\/7))\/q))**(-16) assuming q is positive.\nAnswer: q**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 593 + -515 - (110 - 2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r\/r**(-2\/11)))))**5)**50)**(2\/3) assuming r is positive.\nAnswer: r**(-1000\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdgmmmmylmmddcym. What is prob of sequence my?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/128 and ((-1158)\/(-192) - 6)\/((-30)\/(-1245))?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 32 = -4*o, -35*o + 19 = -4*i - 34*o. Let w(b) = 5*b**2 + 9*b - 28. Let u be w(i). Solve u = -10*g + 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 10?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13187 is divided by 1237?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*(-5)\/20*(-57322)\/10. Let u = y + -19506. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -30, 3\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-12)\/(-7))\/(14\/49)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 65\/15 + 2\/3. Suppose -2*y = -4*u + 10, 14 = s*u - 5*y + 3*y. Solve -u*v + 20 = 2*k, 5*k - 2*v - v + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25938 * 5.\nAnswer: -129690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/35)*x*x**(-20))**(-31\/5) assuming x is positive.\nAnswer: x**(19592\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 8:05 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1848)\/198*6\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*3*sqrt(243) + 3)*6 + 0)**2.\nAnswer: -279936*sqrt(3) + 11342592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-9*h - 7 + 7)*(h**3 - h**3 + 2*h**3)*(25 - 6 - 50).\nAnswer: -1674*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 145, 146, 147?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 93 - 374328*j - 103.\nAnswer: -374328*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**6\/225 + x**5\/30 + 7*x**4\/45 + 27*x - 1. Let c(y) = 0. What is y?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/(k\/((k*k*k*(k\/(k\/(k**(-12)\/k*k)))\/k*k)\/k)*k))\/(k\/(k*k*k*(k**5*k)\/k*k))**(-2\/179) assuming k is positive.\nAnswer: k**(-4133\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 - 2*k + 4. Let w be h(3). Find the common denominator of 0 - w*85\/12 and (-2)\/(-3) + 494\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 11*t + 12. What is the remainder when 70 is divided by u(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 2.2. Which is the nearest to 0.2? (a) -5 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 19*d**2 - 29*d - 68. Calculate p(21).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)\/(m\/m**(-2\/5)))**(12\/13)*((m\/m**(-2\/5))\/(m\/((m\/m**6)\/m)))**0 assuming m is positive.\nAnswer: m**(-174\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508647 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h = -33*h + 138922. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.66099 seconds to nanoseconds.\nAnswer: 68660990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30757660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*u - 46868 + 8093. Let c = u - 706. Sort 1, c, 3, 2 in decreasing order.\nAnswer: 3, 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -129 and 18.94219.\nAnswer: -2443.54251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9217.5 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fssssyyls. What is prob of picking 1 s, 1 l, and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/2*(3 - 2). Suppose p = -z - d*p - 4, 4*p = 2*z - 16. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -176 and -1.09.\nAnswer: 191.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21341 + -2164?\nAnswer: 19177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.7 + 13. Let s = 2.7 + g. What is the biggest value in 3\/5, 1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 2. Suppose 3*m + 32 = -m. Let b = m - -5. Determine x(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 20*t + 28. Suppose -29 = 3*c + 31. List the prime factors of b(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 27334798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 507, 1009, 1513, 2019, 2527, 3037, 3549?\n\"Answer: c**2 + 499*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.92 - -0.6. Let l = y + 0.19. Let m = 0.07 - l. Which is the closest to -1\/5? (a) 0 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -356\/35 + 74\/7. Let n be 2\/1 - (-3 + 2). Find j, given that 0*j - 2\/5*j**4 - a*j**n + 4\/5*j**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -228, -206, -188, -186, -212, -278, -396?\n\"Answer: -2*q**3 + 10*q**2 + 6*q - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/25)\/a**5)**(12\/11) assuming a is positive.\nAnswer: a**(-1488\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -30*m + 0 + 0*m**3 - 109\/12*m**4 - 171\/2*m**2. Find the first derivative of b(v) wrt v.\nAnswer: -218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 26 = -0*u + 5*w, 0 = 4*w - 16. Let f(s) = -4*s**2 + s + 3. Let v be f(2). Let b = v - -19. Calculate the smallest common multiple of b and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17592\/13194)\/(3*2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + -2. Let b = -5 - -5.4. What is the closest to -1 in b, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5102521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5231786*k**3*p**4 - 13*k**3*p**2 + 4*k**3 + 5*k**2*p**2 - 44*k**2*p - 3*k*p + 2*p**4 wrt p.\nAnswer: 125562864*k**3*p + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-172)\/14)\/(3\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*d + 18*d + 8*d + 117 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + -0.169961. Round q to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**5 + 2*j**4 - 5*j**3 - 15*j**2 + 23*j. Let n(r) = -r**5 - r**4 + 3*r**3 + 7*r**2 - 11*r. Let o(x) = -7*n(x) - 3*v(x). Find m such that o(m) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2442\/(-851))\/(-11) - (-6312)\/3312?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 104766*t - 106649*t - 5 in the form g*t + m and give g.\nAnswer: -1883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1244 - -6243\/5. Find the common denominator of ((-3 + 8)*10)\/(-13) and c.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 347?\nAnswer: -346.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -31.2. Let g = 27.9973 - q. Round g to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 49424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*522.324\nAnswer: -1566.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -619.00000817 + 619. Round a to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -43, 1 in descending order.\nAnswer: 7, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Let j = 1129 - 1629. Let s be j\/(-12) + d\/(-3). What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l = 56*l + 1263. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r - 673 - 2 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = -4*d - 10, 3*h = 3*d + 12. Let a(f) = -4*f**3 - 2*f**2 - 3*f - 2. Let p be a(h). Solve j - 2 - p = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-222.\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000043951 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*2 - 1. Let y(l) = 7*l**3 + l + 10 - 3*l**3 - 2*l**3 - 9. Let x be y(-1). Put -3, x, r in decreasing order.\nAnswer: x, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 2*f + 3. Let p be (-2)\/26 + (-3555)\/(-585). Calculate the remainder when s(-3) is divided by 8\/p + (-1560)\/(-72).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwz when three letters picked without replacement from wzzwzzzz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-13)*(-1515384)\/(-9714).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552181 (base 9) in base 15?\nAnswer: 28010a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 6) in base 3?\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 3*q**2 - 4*q + 2. Let k be c(2). Let x be k\/5 + 6\/30. Let j = -104 + 104. Solve 15 = x*i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94\/33 - 58501\/20526. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4605 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 231438.6us?\nAnswer: 0.00385731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1335)\/(-534)*(-3)\/5*20\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7863*l**3 + 468 - 4*l + 4*l - 4*l - 7864*l**3 to the form j + p*l**3 + c*l + x*l**2 and give j.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c + 2. Let v be (10\/(-5))\/(c\/2). Suppose -51687 = -v*t - 7687. Round t to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22619115, 22619114, 22619113, 22619112, 22619111, 22619110?\n\"Answer: -p + 22619116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 12:45 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3221 times 13.72\nAnswer: -4.419212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-2)\/5. Suppose z = 7*g - 2*g. Let x be 1 + (2 - g\/(-3)). Solve 3*f = -3*v + 21, x*v - 2*f + 0 - 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(684)).\nAnswer: -24*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*105\/10*(-2)\/(-6) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 31*k + 545. Determine f(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**3)\/d**(-16) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -1\/19, -0.155 in decreasing order.\nAnswer: 4, -1\/19, -0.155, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 28 + (2 - -3 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449564091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136.4 - 134. Let l = -7 - -4.3. Let w = s + l. Which is the closest to -1? (a) -2\/3 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -6, -5*s = 3*h - 2055009. What is s rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/12 - 2*q**3 - 10*q**2 - q. Let j be -5 - (6 + (48\/4)\/(-4)). What is the remainder when 45 is divided by v(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2768 - 2699. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.161 - -0.161. Let j = 84.00000199 + z. Round j to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236304266 (base 7) in base 3?\nAnswer: -1000202210020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*t**2 + 23597*t - 5246555 wrt t.\nAnswer: 30*t + 23597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 21*k + k - 2 to the form y*k + z and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 2821, 11\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74920 and 14984?\nAnswer: 74920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-172)\/(-258))\/((-5 - 308\/(-21)) + 0).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51884*q**2 - 5126*q**2 - 49534*q**2 + 4830*q**2.\nAnswer: -101714*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19781 - 19967. What is the nearest to 1 in p, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*((w\/((w*w**2)\/w)*w)\/w)\/w*w)*w)**(-36)\/(w**(2\/5))**(-4\/15)*((w\/(w*(w*w**3)\/w*w))\/(w*w*w**(-2\/9)\/w))\/(w**(1\/7)*w**(3\/4)\/w) assuming w is positive.\nAnswer: w**(-482353\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 642 - 34029\/53. Suppose 0 = 13*x + 13*x + 26. Is x greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6918 + -6919. Let o be ((-2)\/(-2) + 0)\/(-4). What is the nearest to 0 in -4, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*g + 20, -14 = 3*k - 8*k + 3*g. Put -2, k, 3 in descending order.\nAnswer: k, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (804\/(2 + 1))\/2. Let v = -67 + d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lacalbbbbalaabl. Give prob of picking 1 a and 1 b.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11 = q - y, q + 2*y - 14 = 0. What is the remainder when 75 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1128932*l**3 - 3*l**2 - 2730*l + 15 wrt l.\nAnswer: 6773592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 e when three letters picked without replacement from ehhepherphpcecep.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 4*f, 0 = -2*b + b - f. Let w(m) = 3 - 3 + 2*m**2 + 3*m + 2. Is w(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30304 - -34?\nAnswer: -30290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 218, 455, 692, 929, 1166, 1403?\n\"Answer: 237*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Suppose 6*y = 3*y + 39. Calculate the remainder when (-1)\/1 + 39 - r is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31087 and 28.\nAnswer: 124348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - -7) - (-6 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 5*g**2 - g + 2. Let n be b(5). Let t = -30 - n. What is the common denominator of -1 - 1*201\/t and -17\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-488)\/(-610)*(-10 - 0\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 11)\/(-8 + 10). Let b(d) = -d**3 - 8*d**2 - 7*d + 7. Determine b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/22*(-2037)\/441)\/(5\/(-35))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 16) to base 12\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207703079159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + (-20)\/(-6). Suppose 4*w - 1 = -4*z - 13, 10 = -5*w - 4*z. Suppose -4*m + 15 + 13 = 0. Solve -c = -n + r, -w*n + m = -n - 5*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - -40. Let z = u - 96. Let y = 91 - 86. Solve 3*d - 30 = 5*d - 5*a, -5*a + z = -y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221 + 1122. Let b = 2351 - a. Calculate the highest common factor of b and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-7))\/(((-40)\/35)\/4). Solve -33 = l*y - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634008.\nAnswer: 2, 3, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 506730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 258090 = 35*k - 45*k. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c71 - -1b17?\nAnswer: d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4 - 14 + 3 - 2*x. Let n be g(4). Let a = 39 + n. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -3*n - 2*w, 4*n - 7*w = -4*w - w - 2702 + 5408 - 2728 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1. Let w(n) = 3 + 50700*n + 0 + 50707*n + 50706*n - 152114*n. Let k be 48\/9 - 6\/(-9). Let m be 3 - 3*k\/(-9). Give m*o(p) - w(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2 + f - 1. Let g be a(1). Let o(k) = -k**3 + 7*k**2 - 6*k + 3. What is the remainder when 3 is divided by o(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 18 + 11 - 14 + 29.\nAnswer: -x**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -756, -3995, -12752, -29787, -57860, -99731?\n\"Answer: -460*u**3 + u**2 - 22*u - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539150802.\nAnswer: 2, 3, 19, 4729393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irtpttpoppyptt. What is prob of picking 1 o and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 (base 14) in base 2?\nAnswer: -1001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4190.156 times -4\nAnswer: 16760.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6935 + -3556. 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 the value of (-6)\/8*((-1505)\/430 + 2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(864)*-1)\/(-2*sqrt(648)*2 + sqrt(648)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82005300 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*-1 + sqrt(14))*-1)\/(sqrt(6)\/sqrt(3)*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2337763, -4675529, -7013297, -9351067, -11688839?\n\"Answer: -n**2 - 2337763*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 98*u**3 - 684777408*u**2 + 391301352*u - 55900192 = 0.\nAnswer: 2\/7, 6987524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 323 = -3*a - 268, -38 = -6*a + j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2432356, 0.5, -2\/61, -2 in decreasing order.\nAnswer: 0.5, -2\/61, -0.2432356, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(6)\/sqrt(2)*-3 + (sqrt(3) - ((sqrt(216) + sqrt(24))\/sqrt(8) - sqrt(3))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9454901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 0*c**2 + 2*c**2)*(-28*c - 9*c - 46*c) + 8*c**3 + 3*c**3 - 3*c**3 in the form v*c**3 + w*c + b + u*c**2 and give v.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -47089*r**4\/144 + 217*r**3\/18 - r**2\/6 + 2*r - 71. Factor u(y).\nAnswer: -(217*y - 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550903.\nAnswer: 550903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(7)*-2))**2.\nAnswer: 192*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (10 + -4)) + 70\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 20. Let c = 11 - 2. What is the tens digit of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - 12*j - 7. Is m(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003792851 rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*7\/45)\/(27\/675).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 15, -5, 4, -1.\nAnswer: -5, -1, 4, 15, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 0*t + 0*t**4 + 20\/3*t**3 + 0*t**2 - 19 + 0*t**5 + 0*t**6 + 18\/7*t**7. What is the third derivative of y(f) wrt f?\nAnswer: 2160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/11, 582, 166?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -12*k**4\/7 + 100*k**3\/7 - 164*k**2\/7 + 76*k\/7 = 0?\nAnswer: 0, 1, 19\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 359*i. Let y(z) = -z - 22154. Calculate y(r(q)).\nAnswer: -359*q - 22154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 9 = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 871520570 - 871519207.9999163. Let x = -1362 + j. Round x to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}