diff --git "a/data/dm_maths/full_data_2/1236_11255.jsonl" "b/data/dm_maths/full_data_2/1236_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1236_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h(j) = j - 1. Let f(u) = -3*u + 3. Let g(o) = -f(o) - 2*h(o). Let t be g(6). Solve t = -4*a - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 5*w - 9*w - 9391*w**2.\nAnswer: -9391*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (11 + -20 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 8 = 0. Suppose k + 5*z = -21, -z = k - c + 3. Suppose -p + 40 - 38 = 0. Solve 0 = -4*t - 12, p*t = -k*d + t + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/3, 5.9625, -26.6 in decreasing order.\nAnswer: 5.9625, 1\/3, -0.1, -26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 2, z: 1}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*y = 309, -2*y = -4*b + 2*y + 240. Suppose -1 = -a, 4*a + b = 5*w + 15. Solve -7*z = -w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9890721 is divided by 2108?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 8 + 27)*(1 - 1 - 2*q) to p*q + u and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, -1\/4, -422?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose 1205*u = 1208*u - 9. Let 1\/4*o**u + c + 1\/2*o**2 + 1\/4*o = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*t**5*x - 621758*t**3*x + t**2*x + 791802*t + 5*x wrt t.\nAnswer: 3660*t**2*x - 3730548*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22335\/4 - 5583. Let x(s) be the first derivative of -g*s**4 - 4\/5*s**5 + 1\/3*s**3 + 17 + 0*s**2 + 0*s. Factor x(a).\nAnswer: -a**2*(a + 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-1))\/((-72)\/(-3924)). Let i = q - 87. Solve 0 = 3*k + i - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -1 + -7 + (-2 - -1401)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-61*(20 - -11))\/(-1).\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/4 + 11*k**3\/9 - 4*k**2\/3 + 49*k + 64. Let x(o) be the first derivative of d(o). Determine r so that x(r) = 0.\nAnswer: 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116432857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/12)\/p))**(1\/35) assuming p is positive.\nAnswer: p**(23\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1548, -1925, -2312, -2715, -3140, -3593?\nAnswer: -4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9984 by -256.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 8712051*x + 75899832626601\/2.\nAnswer: (x + 8712051)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*(5 + (-171)\/36) + 7?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 2, v: 1, w: 1, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 6 = -9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(6\/15))\/((-95)\/95)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - 36) - ((21 - 58) + 34).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*v**3 + 54*v**2 - 24*v**2 - 44*v**3 + 80*v**2 wrt v.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d - 1. Suppose -45*t = -58*t + 143. What is the remainder when c(-1) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 2:34 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041330 (base 6) to base 7.\nAnswer: 305064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270170\/19 or -14218?\nAnswer: -14218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135*s**2 - 27*s*v + 9053*v wrt s?\nAnswer: -270*s - 27*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 605860*z**3\/3 + 2221165*z**2\/3 - 4846540*z\/3 - 4038700\/3 = 0. What is z?\nAnswer: -40387, -5, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 133444000?\nAnswer: -133443555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 + -3572356?\nAnswer: -3572232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -110. Find q such that -54*q**2 - 218 - r*q**3 - q**4 - 108*q - 132 + 269 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3482316 and -10\/1257503.\nAnswer: 45270108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = 2*b. Let h be (-2)\/(-2)*(19 + -4). Suppose b*s - h = 80. Calculate the remainder when 55 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) + 149022\/30. Suppose c = 13*s - 1988. Let u = 808 - s. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, 196571 in ascending order.\nAnswer: -2, -1, 0, 196571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 29*q + 196. Let n be l(8). Is 163 - 7*8\/n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - (2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-35) - (78\/(-338))\/(5\/(-13))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1 - -1)\/((-28)\/6). What is the third biggest value in 12, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 41. What are the prime factors of (-609)\/(-12) + (-4)\/a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -760, -1500, -2236, -2968, -3696, -4420, -5140?\n\"Answer: 2*h**2 - 746*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, t: 7}. What is prob of sequence thhh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 2*x + 2. Let b be a(7). Suppose 3*r - b = 5*j, -3*r + 9 + 8 = -j. Solve 0 = -l + r*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76))\/sqrt(4) + (sqrt(19) + -2 - sqrt(19)) + 2 + (-2*sqrt(152))\/sqrt(8)*3.\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20448515.\nAnswer: 5, 59, 69317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495453?\nAnswer: 4495453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + (-309)\/(-12). Suppose -14 = 4*g - 42. Let v = g + h. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7) - (sqrt(7) - (sqrt(77) - sqrt(77)*-1)\/sqrt(11))))**2.\nAnswer: 4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5\/3 + 19405*w**4 + 7633445*w**3\/3 + 223889345*w**2\/3 - 563009400*w - 1905342320\/3 = 0. Calculate w.\nAnswer: -68, -1, 7, 11773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - -5242053?\nAnswer: 5242135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -368*q**2*w - 7758*q**2 + 3*q*w + 4*q + 2*w wrt w.\nAnswer: -368*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/2)*s**(-1\/12)*(s**1*s)**(-14) assuming s is positive.\nAnswer: s**(-355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 12*r**2 - r + 8. Let m be h(6). Suppose 5*v - 146247 = -m*f + 108263, -4*f + 152720 = 3*v. What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.0504 + 84. What is o rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15834 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(4\/3))**23\/(z**(-2\/27)\/z*z*z**6))**(9\/10))**49 assuming z is positive.\nAnswer: z**(63161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 4. Let f(q) = -7*q**2 - q - 700. What is f(j(r))?\nAnswer: -28*r**2 - 114*r - 816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41905 - 879647\/21. Let w = 17 - g. Let s = w + 67\/84. What is the smallest value in 0.2, 0.3, s, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1950 + 7701\/4. Calculate the common denominator of t and (1944\/301)\/4 + 138\/(-322).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/7186 - -239455\/8594456. Calculate the common denominator of 5\/91 and v.\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l + n - 3*n, l + 4*n - 11 = 0. Suppose -l*y + 14 = 2. Which is the second biggest value? (a) -0.2 (b) 3\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10*j*((j**9*j)\/j)\/j*j*j*(((j*j**3\/j*j)\/j)\/j)**(13\/4))**(-33) assuming j is positive.\nAnswer: j**(-1815\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237386*y**3 - 2*y**2 + 158959409 with respect to y.\nAnswer: -712158*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 - 31*r**2 - 58*r - 29621 with respect to r.\nAnswer: 6*r**2 - 62*r - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) -0.1 (c) -0.043 (d) 39 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -15. Let w(y) be the third derivative of 0*y + 0*y**3 + 0*y**4 + 1\/480*y**6 + 1\/240*y**5 - 1\/840*y**f + 0 + 2*y**2 - 1\/1344*y**8. Factor w(s).\nAnswer: -s**2*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. Suppose b + 0*b - u*x + 15 = 0, -60 = 4*b - 3*x. Let f = 21 + b. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/1)\/(-4) + -5. What is the common denominator of t\/(-88)*-35 - (-3)\/3 and -5\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -20. Calculate the remainder when 25 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 642167*z - 4*z**2 - 642169*z + 2*z**2)*(-2 - 2 + 5).\nAnswer: -2*z**2 - 2*z - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10663 - -10822. Calculate the remainder when 305 is divided by o.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10875719 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432 - 430. Factor 0*j + 1\/3*j**4 + 0 + j**w - 4\/3*j**3.\nAnswer: j**2*(j - 3)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-40)*-5*2. Let a(d) = -d. Let f(m) = -10*m. Determine t*f(z) - 6*a(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 339, -8 in decreasing order.\nAnswer: 339, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234976484 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312932?\nAnswer: 2, 3, 23, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5*m + 5*m)*(5*m - 5*m + 2*m)*(-3 + 2 + 2)*(4*m - 3*m - 3*m).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5177989, 20711955, 46601901, 82847827, 129449733, 186407619, 253721485?\n\"Answer: 5177990*r**2 - 4*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 50364*f**2 - 5770737*f - 164743794.\nAnswer: 3*(f - 16902)*(f + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 = -2*c, 3*b - 5*c - 148 = -b. Calculate the remainder when b is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 230*d\/9 + 76\/3.\nAnswer: 2*(d + 1)*(d + 114)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -55aa44?\nAnswer: -55aa45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 15. Let q(w) be the second derivative of 0*w**3 + 0*w**2 - 1\/10*w**n + 1\/12*w**4 + 0 + w. Find the third derivative of q(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 + 2*j**2 - 2*j**2)*((j - 4*j + j)*(3 - 1 + 2) - 1 + 1 + 2*j - j - 3*j - j).\nAnswer: -22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7672 (b) -510 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -3*l**4\/8 + 2*l**3\/3 - 17*l**2. Let r(c) = 2*c**2. Determine r(m(g)).\nAnswer: 162*g**2 - 144*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/72 - (-2067)\/(-104).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssfsuqssfssq. What is prob of picking 1 f and 1 q?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 5*i + 0*i)*(1 - 1 + 2*i**2) - 7*i**2 + 7*i**2 - 2*i**3 to t*i**2 + a + r*i**3 + b*i and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m + 4*n, -4*m + 3*n = 0. Sort 5, m, 3 in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b**(-2)\/b)\/b))\/b*b*b)**(-4\/25))**16 assuming b is positive.\nAnswer: b**(-448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Which is the closest to w? (a) 1 (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -52 + 7. Suppose -56 = x*k - 5*k. Let q be (2\/(-4))\/((-7)\/k). Sort q, 1, 3 in descending order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28399800 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -91\/17 + 199\/34. Suppose 0 - r*u**2 + 1\/2*u**4 + 1\/2*u**3 - 1\/2*u = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(3\/2))*i**5\/i)\/(i**(-2\/7)\/i*i)**(-2)*((i*i*i**0)**(11\/4))**(-9) assuming i is positive.\nAnswer: i**(-333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1692, -3118, -5494, -8820, -13096, -18322, -24498?\nAnswer: -31624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**3\/7 - 16*k**2 + 660*k\/7 + 1800\/7 = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1605 divided by 321\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 13*g + 2. Let m = 0 + 13. Suppose -5*h - 2*u = 2*u - 3, 18 = 3*h - 3*u. Calculate the lowest common multiple of h and j(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t + 1, 5*d = -3*t - 30. Let p be (d\/(-6))\/(9\/12). Let w be (0 + 10)\/(p\/(-4)). What is w rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) 34\/11 (c) -11\/4 (d) 2 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5349*t**2 + 113*t**3 + 5349*t**2)*((4*t + 4*t - 6*t)*(-1 - 1 + 0) + 0 + 2*t + 0 - 5*t + 3*t + 3*t + 4 + 3*t - 4).\nAnswer: 226*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.045 and -158541600.\nAnswer: -158541597.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 111. Suppose n = 18*h - 17*h. Suppose h*d = -r - 1, 2*r - 1 = -11. Solve -3*i = -d*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628*i**5 + 34410*i**3 - 6*i - 1943329 wrt i.\nAnswer: 12560*i**3 + 206460*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998 is divided by 666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1242630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {r: 1, z: 1, p: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 2*n**2)*(-1 + 2*n**3 + 1) - 5*n**5 - 2*n + 3 + 1 - 1.\nAnswer: -3*n**5 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/25 - 14*c**3 - 348*c**2\/25.\nAnswer: -2*c**2*(c + 1)*(c + 174)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 1 + 1 + sqrt(125) + sqrt(20)\/(sqrt(16)\/sqrt(16)).\nAnswer: 2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -762*z**2 + 296 wrt z?\nAnswer: -1524*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-27) + 64\/36. What is the second derivative of 5 + 2*f**3 + n*f + f**3 - 5 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 20080?\nAnswer: 261040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45\/83 in -9, 56, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/80 and (469\/(-126))\/((-90)\/(-27)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = 3*h. Suppose -i - j = 3*j - 31, 155 = 5*i - 5*j. What is the remainder when i is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*r**3 + 33*r**3 + 25*r**3 - 52*r**3.\nAnswer: 526*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652763?\nAnswer: 23, 101, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/9 + 913*l**3\/9 - 69616*l**2\/3 + 23104*l.\nAnswer: -l*(l - 456)**2*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 200521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -5, -3\/2, 5, -23\/6?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 + 11*m**3 + m + m + (-m - 2*m + 2*m)*(0*m**2 - 2*m**2 - 5*m**2).\nAnswer: 15*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1251550 (base 8) to base 12\nAnswer: 149ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**4 + 5*f**3 - 31*f**2 + 15*f. Let l(t) = -32*t**4 - 15*t**3 + 92*t**2 - 45*t. Let w(a) = 17*k(a) + 6*l(a). Factor w(r).\nAnswer: -5*r*(r - 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2676 and 850824834?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Let q be (1*32)\/(4 - 3). Calculate the greatest common divisor of q and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 - 6*w - 1. Let m be p(-6). Let l be (3\/26)\/(8 + 60\/(-5)). Let f = -395\/728 + l. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 911, 1854, 2803, 3758, 4719?\n\"Answer: 3*z**2 + 934*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1117266 - -223451839\/200. Let n = m + 17\/25. Calculate the common denominator of 22\/13 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-1*0. Suppose -4*a + 44 = -u*a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**3 - 5010*s**2 + 4940*s + 1234892195 wrt s.\nAnswer: -6*s**2 - 10020*s + 4940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-70)\/65)\/((-54)\/351). Let x(p) be the first derivative of -p**2\/2 + 6*p + 1. Let c be x(5). Calculate the greatest common factor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 44. Let x = -295\/99 + 26\/9. Which is the closest to k? (a) -1\/2 (b) 1\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -2643\/1495?\nAnswer: -2643\/1495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -226675.14?\nAnswer: 226675.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 68, 116, 164, 212?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815448 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -26*k**6\/3 + k**3\/3 + 367*k**2\/2 + 349. What is the second derivative of s(z) wrt z?\nAnswer: -1040*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3450 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 23, 4, -0.5, -1.172?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3 + 990*d**2 + 68094*d - 14734494 = 0.\nAnswer: -291, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.076 (b) 219 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7663 * 687.23\nAnswer: -5266243.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41\/3 (b) -2\/5 (c) 0.66 (d) -3.17 (e) -2\/7 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhi when four letters picked without replacement from {h: 4, i: 2, v: 2, f: 4, g: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734274013?\nAnswer: 11, 17, 349, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 1, 0.1, -5, 4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42623 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = -5*p + 27, 0 = 4*p - 3*i - 20. Solve -p*q + 4 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -546\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -296 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 283\/324785 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 995691.3078 and 4.\nAnswer: 995695.3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 4. Let u be x(-4). Suppose 4*g = -u*g + 8. Does 7 divide (2\/(-3))\/(g\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 divided by -484?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1025764137 divided by 3.\nAnswer: -341921379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 164, 1, -37 in descending order.\nAnswer: 164, 1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let w be 4\/10*(0 - -5). Let u(y) = w - 5 + 3 + 1. Let i(v) = -3*v + 1. Let z(h) = -i(h) + u(h). Determine c(z(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 18 - 2. Suppose u - 132 = -3*u. Suppose -m*n + u = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 6*w + 6. Let r = -16 + 10. Let j be p(r). Find the third derivative of -3*v**4 + j*v**2 + v**4 - 4*v**2 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5839 and 340.36?\nAnswer: 1987362.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 = 4*z, -2*w - 3*w + z = -25. Does 3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 8*c**2 + 47*c + 25. What is f(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z - 75. Let a = 46 + -71. Let w = a + z. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71837.\nAnswer: 71837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196696 by 1391.\nAnswer: 196696\/1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -338 + 122. Let r = b - -382. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/6 - 3*k**3 + 18*k**2 + 78*k. Determine v so that t(v) = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2285\/4, 2, -0.4 in descending order.\nAnswer: 2285\/4, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (996\/72 - 13)*42\/20?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - h - 1 + 14 = 0, 4*j = 3*h - 55. Let x(y) = -y**3 - 15*y**2 + 15*y - 15. Let w be x(j). Let u be (0\/w)\/(5 - 7). Which is bigger: 10\/47 or u?\nAnswer: 10\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634441531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 39. Let s(t) = -10*t. Give s(m(f)).\nAnswer: -10*f + 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 23*o - 8. Let u(q) = -8*q + 3. Let w(s) = 3*k(s) + 8*u(s). Let a(g) be the first derivative of 5*g**2\/2 - 5. Calculate 2*a(z) - 3*w(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1506978 and 143\/54?\nAnswer: 1506978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-1 - (sqrt(152) + -5*-3*sqrt(152)))\/(-1*sqrt(648)*-5 - (sqrt(648) - (-2*(sqrt(648) + sqrt(648)*-2) + sqrt(648)))).\nAnswer: -17*sqrt(19)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 7*l - 127. Suppose -l = -5*z - 8. Which is the second smallest value? (a) 6 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.69447um in nanometers?\nAnswer: 27694.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - 2) + 3 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*u = -3*n - 9, -2*u + 5*n + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68364 - -68367. Let a = 2 + -1. Let w = -6 - -3. What is the closest to -8 in c, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2, 468, -1.6, -2\/19 in increasing order.\nAnswer: -1.6, -5\/4, -2\/19, 2, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 89995277 - 10.735\nAnswer: 89995266.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 - b**3\/2 + b**2 - 23*b. Let t(a) = a**2 - 5*a + 4. Calculate 5*h(z) - 3*t(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3071241254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m + 526. What is g(-42)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*b - 12 = 399*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -47 + 0*c**2 - 5\/3*c**3 + 0*c. Let w(u) be the first derivative of 7*u**2\/2 - 7. What is j(w(i))?\nAnswer: -245*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -299 - -293. What is the common denominator of h + (-1358)\/(-525) + 4 and 29\/4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 6*o**2 - 1. Let y be p(-5). Suppose -y + 144 = -5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-2 - (1 + -4)). Let y(z) = -5*z**3 - z**2 + z. Let j be y(1). Sort j, -1, a in descending order.\nAnswer: -1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 6 - 4*y + 6*y + 0*y + 3*y. Let a(p) = 4*p + 5. Give -4*a(w) + 3*n(w).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 930 + -353. Let w = -576 + m. Sort 0.1, -0.4, -3\/4, w in decreasing order.\nAnswer: w, 0.1, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 16*h + 96. Give k(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 + 2 = 0. Suppose 4*r - r - 15 = -2*a, -f*a - 2*r = -10. Let s(j) = j + 9. Let h be s(-7). Solve a*t - h*t + 3*c + 5 = 0, 2*t = -4*c - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/4)\/((-54)\/(-72))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 361 = 13*a + 9 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29472, -29250, -28356, -26454, -23208, -18282, -11340, -2046?\n\"Answer: 56*n**3 - 170*n - 29358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 6:29 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 27*r + 29*r - 86*r + 32*r. Give n(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:40 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19807704*g**3 + 729*g - 8649?\nAnswer: -118846224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 12311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*o**3 - 6*o**3 + o**3 to the form h + c*o**2 + v*o**3 + s*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/2 - 419*z**2\/2 - 3448*z - 13920 = 0 for z.\nAnswer: -8, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/4 + 1315*r**4\/4 - 6623*r**3\/2 + 2671*r**2\/2 + 55677*r\/4 + 35775\/4 = 0.\nAnswer: -1325, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2292 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)*l**(-13\/2) assuming l is positive.\nAnswer: l**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**5\/2 - 632915*u**4 + 106820018115*u**3\/2 - 1502281123033275*u**2 - 6009818847567750*u - 4507484313892500 = 0?\nAnswer: -3, -1, 84390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -8385 divided by 32\nAnswer: -8385\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/60*-11*60\/1760)\/(5\/(-4))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -7\/130 (c) 5 (d) 3.3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(105\/(-15))\/98?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 331 (b) 0.02 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:03 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -0.07. Let c = i - 2.94. Let b = 116 + -929\/8. Sort c, 0, b in descending order.\nAnswer: 0, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16404*q**3 + 36*q**2 - 239384338 wrt q?\nAnswer: 49212*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256.71 - -223.816. Let g = d + -0.406. Let r = g + 33. Put -3\/7, 0.4, r in descending order.\nAnswer: 0.4, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1756357 by 1.\nAnswer: 1756357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1053)*-4 - (sqrt(1053) - (-1*sqrt(1053) + sqrt(1053))*6)) + 4)**2.\nAnswer: 216*sqrt(13) + 9493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uummgmugmm. What is prob of picking 2 m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 72*o**4 + 690*o**3 + 3300*o**2 + 7875*o + 7500.\nAnswer: 3*(o + 4)*(o + 5)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 42*g + 746. Calculate p(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.103, -2\/3, -36 in ascending order.\nAnswer: -36, -2\/3, -0.103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-224)\/(-6) + (-8)\/24.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53397 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5201, -5202, -5203?\n\"Answer: -k - 5200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 16. Let q = k + -7. Let p = q - 3. What is the third smallest value in 1, 0.2, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 180532.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.2 + 7. Let c = 201.2 + -201.1. What is the second biggest value in c, w, -1\/4, -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58409820 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11934.6 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1872) + -2*(0 + sqrt(1872)))*-5*-4)**2.\nAnswer: -48000*sqrt(13) + 758800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8652 and -71\/271714?\nAnswer: 11411988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + u**2 - 1. Let l(a) = -78*a**3 + 5*a**2 - 96. Let h(i) = -l(i) + 5*r(i). Find the first derivative of h(q) wrt q.\nAnswer: 204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*j - 28. Calculate the remainder when 27 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5525 + -20?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*f*i**2 - 108*f wrt i?\nAnswer: -192*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/14, -49, -5, -13371?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s - 22*s + 55*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 167, 333, 499, 665, 831?\n\"Answer: 166*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2960 is divided by 308.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171797 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 58 (b) 7 (c) -0.0255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 6?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/4 - (-1)\/4. Suppose -c*u - 1297 = -1339. Solve u = -6*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3 + m**2 - 2*m + 5. Let o(r) = 10*r**3 - r**2 + 2*r - 6. What is -6*f(u) - 5*o(u)?\nAnswer: 4*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = 0, -5*u + 0*o - o = -49. Let a = 80 + -50. Suppose -2*w + 3*n + 9 + a = 0, 0 = 5*w - 3*n - 84. What is the highest common divisor of u and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 - -228. Sort u, 17, 2 in descending order.\nAnswer: 17, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7 + (6 - 1) - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 35 - (-1 + (-5 + 4 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145990 = 5*d + 5*s, -5*s - 43146 = -5*d + 102874. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 16*b + 484. Let w be h(-30). What is the smallest value in -4, 0.25, w, -0.5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -7, -1\/6 in descending order.\nAnswer: -1\/6, -7, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7160355 less than -62219137?\nAnswer: -55058782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, m: 6, k: 4}. Give prob of picking 1 m and 1 k.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 432.258 + -0.258. Let q = x - 442. Which is the fourth biggest value? (a) 6 (b) 2\/3 (c) 2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 - 276. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -524?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11100010?\nAnswer: -11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*w, 6*w - w - 5 = 5*f. Calculate the remainder when (-6 - 26\/(-4))*44 is divided by 9 - 1\/w*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q - 20. Let s be (-1 - q)*((-70)\/21)\/(-5). Let i(f) = 2*f**2 - 12*f + 2. Let g be i(s). Solve 0 = -g*w + w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/8 + m**3\/3 - 8*m**2 + 11. Let w be 1\/(((-4)\/(-24))\/1). Calculate n(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2234401, 2234403, 2234407, 2234413, 2234421, 2234431, 2234443?\n\"Answer: x**2 - x + 2234401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 713057, 2852132, 6417259, 11408438?\n\"Answer: 713026*a**2 - 3*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4\/8)\/((19667\/6390)\/277)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.4 (b) 0.7 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2 - 12*g + 7. Let a be d(-5). Solve -2*c - a = -5*l, -12 = 4*c - 3*l + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w**2 - w**3 + 2 - 2*w**3 + 2*w**3. Let g be 1\/(-5*(-6)\/(-330)). Let o be k(g). Solve -2*n + 2*l = -0*n + 2, 5*l = -o*n + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*t**2 + 71*t**2 + 35*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1049989538 to the nearest 100000.\nAnswer: -1050000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891758.5 litres to millilitres.\nAnswer: 891758500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qskhsgr. Give prob of picking 1 r, 1 s, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2. Let q(u) be the first derivative of 4*u**3\/3 + 8. What is v(q(g))?\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5775*n - 5767*n + 11559*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (33 - 11) - 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/44208 and 19\/212751?\nAnswer: 3404016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 671 + -650. What is the least common multiple of g and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) - ((-2*-3*sqrt(5))**2 - sqrt(5))).\nAnswer: -1080 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from hhuzuuuupppu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 q when four letters picked without replacement from qtqtttqtqqqttqqqttq.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 + -0.29. Which is smaller: t or -1\/119?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647 at most 4653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6. Let z be l(-4). Suppose 5*q - z*q + 20 = 0. Solve -q*k + 15 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1078 and 7414?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 164. Put -1\/16, n, -2, -0.3 in increasing order.\nAnswer: n, -2, -0.3, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, 1 l, and 1 p when four letters picked without replacement from oxxoepl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -5\/2 (c) -4 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -236, -348, -458, -566?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -106.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-52)\/12 + (-1649)\/(-2328) and 161\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -504 - 191112?\nAnswer: -191616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i**3 + 0*i + 3*i**2 - 1\/24*i**4 + 0. Let d(z) = -7*z. Calculate d(g(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*k - 969 - 432 = 663 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + 0*c)*(-4*c**2 - 3*c**2 + 4*c**2 + (-5 + 15 + 3)*(0*c + 0*c - c**2)).\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423 and 1081?\nAnswer: 9729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**3 - 415*p**2 - 850*p = 0.\nAnswer: -2, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35848887573 plus -740.1?\nAnswer: -35848888313.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4056)\/(-6) - -2) + -3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130 - -55?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -14. Suppose -138 = -3*i - n, 2*n + 84 = 2*i - 0*n. Let q = 85 - i. What is the greatest common divisor of q and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3299, 13410, 30263, 53858, 84195, 121274?\nAnswer: 165095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 363, 19 in increasing order.\nAnswer: -4, 19, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1216950 and 2950?\nAnswer: 71800050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:11 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2. Let n(a) = 7*a + 2. Let l(c) = -1. Let h(z) = -2*l(z) - n(z). What is h(y(r))?\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 201105403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -60, 8, 4089, 2, -2 in decreasing order.\nAnswer: 4089, 8, 2, -2, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Let f(q) = 3*q + 2*q - 8 + q**2 - q. Let x(g) = f(g) + 2*u(g). What is the units digit of x(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, -8, -5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*y**2 + 1651*y?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {p: 2, e: 1, z: 1, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(4)\/sqrt(2).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 4) to base 9\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:38 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18826 is divided by 508?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -488200 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4596843275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 952 = 43*z - 768. Which is bigger: z or -70?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k + 4*u - 19 = 0, 0 = -5*k + 4*u + 167. Let x = k - 22. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*i + 4 - 46*i**3 + 45*i**3 - 4.\nAnswer: -i**3 - 229*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -2. Let q(y) = 7 - 1 - 9752*y - 1 - 9. Let o be q(c). Round o to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60306 (base 7) to base 5.\nAnswer: 431214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*a**3 + 1160*a - 1160*a)*(9*a + 1 - 3*a + 1) to j*a + g*a**4 + f*a**2 + v*a**3 + i and give g.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21723 + 32055. Let i be p\/15 + 2\/10. Let k = i + -282. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 12*(9 - (-2 - -8)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5.8. Suppose 5*s + 4*q + 3 - 1 = 0, 2*q - 2 = -4*s. Which is the closest to 2? (a) 0.4 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 222, 836, 1450, 2064, 2678, 3292?\n\"Answer: 614*k - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 247681 = -31*a - 57131. Calculate the smallest common multiple of 309 and a.\nAnswer: 11433","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.059103426 and -2?\nAnswer: 1.940896574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -7*z + 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.99 - -9. Let u = s - 0.01. Let w(r) = r**3 + 3*r**2 + 4. Let n be w(-3). Which is the closest to u? (a) -0.4 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4740360 - -5?\nAnswer: -4740353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 5, u: 6, m: 2, d: 1}. Give prob of sequence dvnm.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2940, -2936, -2932, -2928?\n\"Answer: 4*k - 2944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5362841.5355 - 0.4?\nAnswer: 5362841.1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:28 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 660195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -3*i - d - 1, -5*i - d = 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 5*l - 232 = 0. Suppose 59*m = l*m + 266. List the prime factors of m.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95624 divided by 8\nAnswer: -11953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcuh when four letters picked without replacement from uhggdghcg?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 948696 by 5.\nAnswer: 948696\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34873771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 52 = 2*y + 5, 2*y = -2*f + 22. What is the remainder when y*6\/36*(-303)\/(-4) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjmzjjjmmmzn. Give prob of picking 2 j, 1 m, and 1 n.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -1 + -56)*-5. Suppose 0 = 4*g - 4*c - 9 - 11, 0 = -2*c. Suppose 127 = 4*o - o + 5*p, -5*o + v = -g*p. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -2. Let j = 0 - c. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h**3 + 17*h**3 + h**2 - 33*h**3 + h - 2. Let y be d(0). Let s(r) = 4*r**2 + 3*r - 2. What is the remainder when 13 is divided by s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -2*t + 30. Let s = -17 - t. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6930.62 years to centuries.\nAnswer: 69.3062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffi when four letters picked without replacement from xfyyfgicc.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2248951 is divided by 1595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 34*p - 4175 = -w - 3570, p = -2*w + 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m - 20. Let t = -33762 + 135053\/4. What is the biggest value in m, t, 3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b + 2. Let c be (3 + (-40)\/15)\/(1\/12). Suppose w - 3 = -4*m + 8, -m - c = -2*w. Calculate i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 11*m**3\/2 - 9*m**2 + 42*m. Differentiate w(t) wrt t.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-5)\/(-10)))\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104\/11*l + 26\/11*l**2 - 128\/11 - 2\/11*l**3.\nAnswer: -2*(l - 16)*(l - 1)*(l + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -21. What is the nearest to 0.1 in -5, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:22 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-522)\/(-5220))\/(2\/(-140))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 16*n**3 - 54*n**3 + 2*n**2 + 20*n**3 - n**2 + 19*n**3. Let b be (3\/2)\/((-9)\/24). Let m(d) = 2*d**3 + 4*d**2 - 5*d. Give b*i(v) + m(v).\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g + 6. Let j be o(-6). Let z(i) = i - 2. Let w be z(4). Suppose -t + w + 10 = 0. What is the greatest common factor of j and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*b - 50 = -5*z, 2*z - 99 = 5*b. Calculate the smallest common multiple of z and 2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - (282\/(-4) - -1). Let h = 101 - m. Calculate the remainder when h is divided by (4\/(-6))\/(22\/(-693)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/10*-2)\/((-92)\/20)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/3, -96, 1\/7, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 1848 = -29*g. Let a be (-9)\/(-21) - (-5640)\/g. Solve 9*o + 7 = a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -968.5981113 to one dp.\nAnswer: -968.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 71. Calculate the remainder when c is divided by 55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 21 (c) -3.3 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0736 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 4555*d\/7 + 15042.\nAnswer: -(d - 23)*(d + 4578)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*a + 454*a - 64*a**2 + 462*a - 1365*a.\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*m + 79 = 4*b, -4*m = 2*b - 80. Let z(j) = j**3 - 4*j**2 + 4*j + 4. Calculate the least common multiple of (4\/3)\/(4\/b) and z(4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 205 = -4*r. What are the prime factors of r?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, x: 3, u: 4, i: 7}. What is prob of sequence icxx?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 2*u**5 + 0*u**5 + (40*u**3 - 62*u**3 - 54*u**3)*(-3*u**2 + 0*u**2 + 4*u**2).\nAnswer: -75*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/580)\/(92\/1633) and 107\/22.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 1\/6*o**3 + 7\/90*o**5 + 1\/18*o**4 + 49\/1080*o**6 + 0*o - 3*o**2 + 0. Let m(h) be the first derivative of r(h). Factor m(u).\nAnswer: (7*u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3386, 3383, 3378, 3371?\n\"Answer: -d**2 + 3387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(30\/1378) + -7 + (-3473)\/345 + 17\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 9*m**2 - 3*m + 10. Let b be t(4). What are the prime factors of (((-369)\/6)\/3)\/((-7)\/b)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -127\/4*m**2 - 3\/4*m**3 - 225\/4 + 355\/4*m.\nAnswer: -(m - 1)*(m + 45)*(3*m - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, 75\/31, -48, -5, -3\/7, -0.3, 25?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 2416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from wkegk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + -10.9. Let z = m + 11.6103. Round z to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 201.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.53 and 1107.\nAnswer: 1693.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 76\/(-90) - 2\/(-5). Let s be -2 - (5\/18 + -2). Let h = s - z. Are -1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/80 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/20 - 3\/(-5). Let b = 56 - 56.027. Let i = -0.127 - b. What is the third biggest value in i, 0, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 36*n**4 - 13*n**4 + n**2 - 7*n**4 - 19*n**3 - 21*n**4 in the form g*n**2 + k*n + p*n**3 + b*n**4 + h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.52 + 20.3. Let l = 1.22 + y. Which is the nearest to 2? (a) 3\/7 (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 1. Let o(x) = 5*x**2 + 2*x + 1. Let l(n) = -6*n**2 - 3*n. Let z = 14 - 7. Let f(v) = z*o(v) + 6*l(v). Let p be f(-5). Determine a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + 303. List the prime factors of h.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1\/2 (c) 0.485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -30 + 100. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Suppose g - 4 = 11. Solve 3 - g = -j*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259869?\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.03459 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -33063 != -33063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*b + 282*b - 9367 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 49*m - 68*m - 3*y, 5*y - 85 = 0. Find t such that -1\/4*t**2 + m + 3\/2*t = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 650088, -0.3 in increasing order.\nAnswer: -0.3, -0.2, 650088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 5*t**3 - 4*t**3)*(-2*t**2 + 1 - 1) + (-2*t**4 + 11*t**3 - 11*t**3)*(-1 + 1 - 3*t).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2549 = -3*k, -43*k = -45*k + 3*f + 1682. What is the highest common factor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5*4\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*v + 77 - 367 = 0, -4*v + 240 = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*l + 2*l + 3*l)*(-2 + 2 + 3) + (2*l + l - 2*l)*(3 - 3 - 4))*(113*l - 2844 + 2844) as s*l + m + v*l**2 and give v.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 3, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + -4 + -1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 160, -3 in ascending order.\nAnswer: -3, -2, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 24*p - 33. Let k be q(27). Let i = k + -21. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/231 + 21985\/99792. Calculate the common denominator of q and -88\/63.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 34\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -91. Suppose u - k - 2*k = -15, 0 = -3*u - k + 5. Suppose y + 2*g = -u*y + 4, -y + 4*g + 34 = 0. Calculate the remainder when d is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from oddzzddhzdzooozezd.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/11 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -78844a?\nAnswer: -788446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m + 5. Let y be l(2). Let w(r) = -3*r**2. Let j(g) = -7*g**2. Calculate y*w(o) + 6*j(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**2\/j))\/j)**(-48)*(j**(-3\/2))**50)**(-2\/53) assuming j is positive.\nAnswer: j**(-42\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 - 112*w**4 + 6392*w**3 - 12432*w**2 + 6156*w = 0. Calculate w.\nAnswer: -57, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 4*h + (4 + 0 - 2)*(2 + h - 2) + 187 - 187 + 18*h)*(3*h**4 + 0*h**2 + 0*h**2).\nAnswer: 63*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 3*u. Let h(d) = d**3 + 0*d**2 - 6*d + 5 + 1 + 3*d**2 - 5*d**2. Is h(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 349842273*k**3 + 71584840?\nAnswer: 1049526819*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-36)*(-5)\/30*8.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:49 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*((-432)\/32)\/27?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -3*o - 27, q + 159*o - 161*o = 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = n + 4*n - 30, -2*n = 3*h - 23. Let d be 2 - 1\/(2\/n). Solve 3*u + 4*g = d, u + 20 = 4*g + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/8 - 3*q**2\/4 + 9*q. Factor c(f).\nAnswer: 3*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*o. Let d be (2\/(-4))\/((-8)\/12). Is d != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/4641 and 59\/3250689?\nAnswer: 22754823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4545.944 and 63654.2.\nAnswer: 68200.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -4, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-16) - (36\/16 - 1). Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -4*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -578 < -811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from gpgwgwpwwvgwvbd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*v + 5*x, -11*v - 19 = -16*v - 3*x. What is the second derivative of 22*u + 4*u**v + 10*u - 3*u wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-162)\/8)\/((-2)\/8). Suppose 89 + r = 5*m. Suppose 0 = -5*l + 25, -m = -v - 4*l + 31. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/12 + 26\/(-4). Let k be u\/(-2) + (-2)\/4. Solve 2*w = -k*a - 6, -3*a - 7*w + 2*w - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 271 - 1107 = -4*c, 5*r + 418 = 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r. Let w(t) = 35*t. Let x(s) = -276*s. Let u(p) = -23*w(p) - 3*x(p). Give c(u(n)).\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -5\/336*z**8 + 5\/42*z**7 + 0 - 1\/3*z**5 - 1\/4*z**6 + 0*z + 5\/3*z**4 + 18*z**2 + 0*z**3. Factor t(k).\nAnswer: -5*k*(k - 2)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/42 and ((6\/231)\/2)\/(707\/721 + -1).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12348 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 10) to base 5\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441 - -453. Suppose 23 = 3*u + 5*c, -14*u + j*u + 4*c + 8 = 0. Calculate the greatest common divisor of 498 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 1072. Let i(d) = 52*d + 12. Let q(a) = 71*a + 16. Let p(h) = -4*i(h) + 3*q(h). Calculate p(r(v)).\nAnswer: 10*v - 5360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = 10. Suppose -i*u + 15 + 70 = -2*w, u - 2*w - 27 = 0. Find the second derivative of u*x**2 + 24*x - 24*x**3 - 29*x**2 wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-11 + 10 + -3 - (-5)\/(-15)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*i**3\/12 - 89689*i**2\/3 + 7799*i\/3.\nAnswer: i*(i - 15598)*(23*i - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 232 + 192 = 0. Let h(a) = a**3 - 4*a**2 - 5*a + 6. Let v be h(5). Solve -2*j + v = 0, -2*l + x*j - 3 = 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b. Suppose b = -5*g - 2 + 27. Suppose 4*k + 4*n - 20 = 0, g*n - 9 = 16. Is k at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 18 = 2*d - 10, 40*w + 48 + 50 - 13 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72234 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 715*a**2 + 9*a - 14. Let o be p(-14). What is o rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.8, 4, -0.044333?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**3 + q**2 - q + 1. Let l be (-6)\/(-15) + 28\/5. Let m = l - 5. Calculate y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*m, -2*y - m = 3*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6967173 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.038 + 52. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1513825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 6. Let w be c(6). Let t be (w\/(-15))\/(3\/60). Suppose 0 = 4*z - t - 500. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366923293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16210627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 0. Let z(d) = d**3 + 7*d**2 - 7*d + 10. Let u be z(-8). Let m(p) = -8*p + o*p**u + 8*p - p**2. Let f(c) = -2*c. Calculate f(m(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 13 (c) -4\/9 (d) -4 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9 and -23\/129543.\nAnswer: 388629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/16 - 23\/176. Let h = 6 - 5.2. Let g = 1.3 - h. What is the third smallest value in q, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(16\/(-10) + 2). Let l(o) = -o - 3. Let r be l(-2). Let n = 2 - 2.2. Which is the closest to r? (a) 1\/4 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 7 = -2*w, 2*j = 3*w + 38 - 56 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 500c6 (base 14) in base 6?\nAnswer: 4042022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(272) + 1 + sqrt(153)*2))**2.\nAnswer: 180*sqrt(17) + 15311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*m - 13671, -83*c + 4*m - 13662 = -85*c. What are the prime factors of c?\nAnswer: 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14866815 is divided by 2432.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17499 + 17502. Factor -8\/7 - 6\/7*n**q + 8\/7*n + 10\/7*n**2.\nAnswer: -2*(n - 2)*(n + 1)*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236b9 (base 13) to base 12\nAnswer: -31667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2 + 4619204*f + 19291432.\nAnswer: 2*f + 4619204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 6 - (1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15964840?\nAnswer: 2, 5, 257, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s + 1. Let d(h) = -98*h**2 - 2*h. Let j(f) = -d(f) - m(f). Let u be j(1). 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: Two letters picked without replacement from jvggjvjv. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82 and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 5408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-6)*(-16)\/(-10). Calculate the greatest common factor of 40 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/5 - (-891)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-18) + 3 + (-66)\/9. Let o = 1 - -14. Let d(f) = f**3 - 14*f**2 - 16*f + 10. Let v be d(o). Is v greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 112930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-505*q - 21*q**4 + 505*q)*(6*q + 1 + 2*q + 0*q).\nAnswer: -168*q**5 - 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 13 + 782. Let r = -378 - y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7121, -14270, -21419, -28568?\n\"Answer: -7149*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56793 by -18.\nAnswer: 18931\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.4\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-12960)*24)\/(3\/594)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 c when three letters picked without replacement from ctqqqccqtqccqqqqqcq?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54522 (base 7) to base 16.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:32 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010010011 (base 2) in base 4?\nAnswer: 222103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/14)\/((-16)\/112). Let w(p) = -p + p + i*p. Let l(k) = -k. Give l(w(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 11:50 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1330\/11 + 121. Let g = -310\/3 + 103. Let q = -4.11 + 0.11. What is the nearest to d in q, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z**4 - 2*z**4 - z**2 - 3*z**3 + 3*z**4 + z**3 to j + y*z + d*z**3 + l*z**4 + c*z**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 32*o**2 + 70*o - 36 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -34. Suppose -6 = -b + 3*j, 3*b + 12 = 4*j + 15. Let h = b + v. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3*d**5\/4 + 15*d**2\/2 + 4*d. Find the first derivative of h(b) wrt b.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 122. Let d(c) = 7*c - 210. Let w be d(12). Let y = b + w. Sort 5, 11, y in decreasing order.\nAnswer: 11, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7536 and 11177144.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -27*l**2 + 14*l - 1. Let j(z) = z**2 + 2*z. Let i(f) = 6*j(f) - w(f). Let d be 5 - (6 + -2 + 0). What is the least common multiple of 6 and i(d)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -185, 0.3, -1, 1\/3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 99, 78, 39, -18, -93, -186?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - 5192\/108*-3. Suppose 3*z = 4*t + b, -12*z + 192 = -8*z + 5*t. What is the greatest common factor of 120 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2 - 6*i + 4 - 1 + i**2. Let q = -17 + 47. Let n = q + -24. Give d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + 14\/56. Suppose -2*y + 3*y = d. Do y and 3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 2 + (25 - (24 + -16 + 7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 + 2*m + 17. Let v be q(-8). Is 1.1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from mdqrmdy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53632943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 568\/55 - 184\/11. Which is greater: -7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(10)\/(sqrt(2) + sqrt(36)\/sqrt(2)))**2 + sqrt(20) + 0 + -5)*-1*5.\nAnswer: -10*sqrt(5) - 25\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89044, -5, 10, 2.\nAnswer: -5, 2, 10, 89044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14520*q**3 + 2022*q**3 + 30*q**2 + 16*q**2 - 46*q**2.\nAnswer: 16542*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 2*q**7\/105 - q**5\/30 - q**2 - q. Let d(s) be the first derivative of i(s). Find the third derivative of d(l) wrt l.\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 - 15*v - 9. Let j be m(-4). Let x be ((-4)\/12)\/(4\/(-108)*j). Solve x*w - 3 = -3*h, 2*h + w = 2*w + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-50))\/(13*(-108)\/(-390))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83686 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.054 - 0.406. Let i = -0.26 - u. Sort -0.05, 3, i in decreasing order.\nAnswer: 3, i, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702489 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b = 230. Let l = b - -57. Suppose -l*k = 8*k - 190. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**4\/114 - 7*q**3\/57 - 18*q**2\/19 + 91*q. Factor g(p).\nAnswer: 2*(p - 9)*(p + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.733 - 0.733. Which is the nearest to -0.1? (a) m (b) 12 (c) -3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 16 = 5*n + 4, -8 = 2*n + 4*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 106. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 6)*(-i - 8*i - 29*i)*(-i**2 + 5*i**2 + 9*i**2) as o*i**3 + d + t*i**2 + f*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -363134 to the nearest one thousand.\nAnswer: -363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 1, d: 1, v: 6, e: 2, r: 5}. What is prob of picking 2 v, 1 r, and 1 e?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.8231ng in milligrams?\nAnswer: 0.0001198231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 11*h**2 + 0*h + 0 + 0*h**4 + 0*h**3 - 1\/60*h**5. Let f(m) = -19*m**2. Determine f(k(c)).\nAnswer: -19*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-1)\/54). Suppose -o*v + 16*v = -36. Suppose 0 = t - v - 4. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86 and -1.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -6. Suppose 0*k + k - o - z = 0, -k - 3*o = -27. Let p be 8\/k + (-14)\/18. Which is the biggest value? (a) 1 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 52*g**2 - 193*g + 583. What is the remainder when h(-50) is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20695*w = -20680*w - 165 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -821 + 898 - (1 - -104)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62 - 53 - (8 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (49 + -51).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 74. Let s(h) = -5*h + 225. Calculate 25*k(u) - 8*s(u).\nAnswer: 15*u + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*k - 5 = -3*b, -83 + 39 = 5*b - 4*k for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -2*m**3\/27 + 4*m**2 - 72*m + 63. Factor g(z).\nAnswer: -2*(z - 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39080444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41488.3ug to grams.\nAnswer: 0.0414883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, -3, 2\/13, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + -54. Let q = -57 - p. Suppose 2*y - q = 3*v, 0 = -5*y + 3*y - 5*v + 46. Solve 0*i - 4*i = 2*k + y, -16 = 4*i + 4*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 0, -m - 12 = -5*m - n. Suppose -5*a - 36 = -2*b, m*b = b - 3*a + 52. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -24, 2, -5, -11 in descending order.\nAnswer: 2, -5, -6, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6013738?\nAnswer: 2, 709, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -21. What is the greatest common divisor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 0.7 (c) -2\/9 (d) 4 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 471 and 471.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 3920.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1031 - -1415523?\nAnswer: 1414452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1977, 2032, 2125, 2256, 2425, 2632?\n\"Answer: 19*d**2 - 2*d + 1960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b + 6 = -74*b. Let s(i) = 516*i - 13. What is the units digit of s(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -340, -1260, -2796, -4954, -7740, -11160, -15220?\n\"Answer: -f**3 - 302*f**2 - 7*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287578982 to the power of 1\/2, to the nearest integer?\nAnswer: 16958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*c - 240353 = 29878. Calculate the remainder when c is divided by 527.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55120830 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -944*r**2 + 59*r - 59. Let g(a) = 63*a**2 - 4*a + 4. Determine -59*g(b) - 4*n(b).\nAnswer: 59*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1579178, 1579179, 1579180, 1579181?\n\"Answer: o + 1579177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51776.7756 rounded to the nearest ten?\nAnswer: 51780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*i + 16, -3*i = -i - 3*a - 13. Let s(u) be the first derivative of 27*u**4\/4 - u**3\/3 + u**2 + u - 1. Is s(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 41 + 130. Let a = k - -74. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*r - 3*r**2 + 7*r**2 - 1823 + r**2 - 9*r - 6*r**2 wrt r.\nAnswer: -2*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 911601666 to the nearest integer?\nAnswer: 30193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1285 - -256. Let x = j - -1822. Is 61 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478 less than 2091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42513 (base 6) in base 4?\nAnswer: -1122231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 2106 = 2*o - 12*x, -4*x = -3*o + 3155. Suppose 3*a - o = 5465. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3)**2 + 1 + 5 + (-1 + (4 + sqrt(500))**2 - sqrt(500))*-4.\nAnswer: -1800 - 322*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 120 = 2*l - 3*h, l = 5*h + 60. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -619846*0.02.\nAnswer: -12396.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -2 + (0 - -2). Suppose 64 = -c + 69. Suppose -c*r = x - g, 3*r - x = -5*x + 12. Solve -d + r*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -227, -309, -391?\n\"Answer: -82*s - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 3*o + 4. Let j be p(-4). Let z = -6 - j. Let w = z - -39. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -22\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63209 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271198?\nAnswer: 2, 635599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14133 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 5*d**2 - 3*d - 3. Let p be y(-3). Let b = -12 + p. Calculate the remainder when 27 is divided by b\/(-21) - (-297)\/21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epppeepepepe. What is prob of picking 1 e and 2 p?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*u - 178 = -2*t, -t + 42 = -2*u. Find the second derivative of -57*l**4 - l - t - 23*l**2 - l + 24*l**2 wrt l.\nAnswer: -684*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 24*w**5\/5 - w**3\/6 + w**2\/2 + 10*w. Let m be j(1). What is the greatest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-8) - 7\/28. Suppose 3*w + 4 = 4*w. Let j be (w\/(-10))\/(2\/(-20)). Solve j*b + 26 = -0*b + 5*c, -m*c + 2 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 16*f + 261. Let j be w(-16). Let m be -3 + j + -1 + -2. Let r be (-22)\/13 + -2 + 3. Is r at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3136, -4968, -6800, -8632, -10464, -12296?\nAnswer: -14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**3 + 91*w**2 - 82*w - 90. Let p be z(15). Round p to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*t - 3742 = 2*u, t = -u + 1248. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 4\/3, -5\/3, 358?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -1b3?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*m - 2*m + 3*m + (0*m - m + 2*m)*(-3 - 3 + 4).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/18 - -3)*33. Suppose 7*c + 99 = m. What is the remainder when 18 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/40 + 5*s**4\/8 - 11*s**3\/4 + 56*s**2. Factor a(u).\nAnswer: 3*(u - 1)*(u + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 226*u - 42. Let y be j(12). Let p = y + -1742. Let z(g) = -928 - 14*g + p. Let o(v) = -2*v. Calculate z(o(s)).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 - 16*j + 19631. Is s(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-3))\/1)\/((-115)\/(-69))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508301 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5190892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.267 - 0.233. Sort s, -3\/32, 4\/7 in decreasing order.\nAnswer: 4\/7, -3\/32, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128866222?\nAnswer: 2, 11, 51312101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 246823 > 246818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -757761, -1515513, -2273263, -3031011, -3788757, -4546501?\n\"Answer: y**2 - 757755*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k**2 - 6*k. Let a(t) = 9 + t**2 + 0*t + 0*t**2 - 10 + 3 - t. Let q(f) = 15*a(f) + x(f). Factor q(s).\nAnswer: 3*(s - 5)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/11*t**3 + 0 + 6\/11*t**2 + 2\/11*t**4 + 0*t = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.1241ug to nanograms.\nAnswer: 271124.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680149973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 295741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14328119 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -391980 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.2, -0.5, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490100 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*f = 54, -3*p - 2*p - 78 = -f. Let i be -3 + (1 - 2) - 0. Let d be (i\/6 - (-4)\/(-3)) + -15. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18558 and 59798.\nAnswer: 538182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1399447282 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 104 + 1713*q - 1716*q as a + k*q and give a.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15771883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82542155 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 598400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3636 by 1713.\nAnswer: -1212\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2, 12, 0.1 in decreasing order.\nAnswer: 12, 2, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*s = 2*s + 7, -s = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(sqrt(2) + 2 + -4) - (-2*sqrt(2)*6 - (sqrt(2) + 2)*4))**2.\nAnswer: 336*sqrt(2) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-11 - (-3 + -17))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 2. Let n be a(5). Suppose 2*r = 3*t - n, -7*t + 8 = -3*t - 2*r. Suppose 1600 = y - t*y. What is y rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/19 + 106*b**2\/19 + 1488*b\/19 + 4680\/19.\nAnswer: -2*(b - 65)*(b + 6)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -2 - (161 - 1)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 + 7*b**2 - 6*b - 86. Let a(m) = 4*m**3 - 6*m**2 + 5*m + 85. Calculate -7*a(f) - 6*p(f).\nAnswer: 2*f**3 + f - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:52 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**6\/10 - m**4\/12 + m + 3. Let c(n) be the first derivative of u(n). What is the third derivative of c(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-4)\/12*(54 + 1). Let h = m - 54. Calculate the least common multiple of h and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1072)\/(-402))\/((-2)\/4)*1881\/264.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1142*r - 1145*r + m = 151, 3*r + m + 155 = -0*r for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 558042\/3557 or 156?\nAnswer: 558042\/3557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6633*u + 33166. What is j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 4 = 11*b. Sort 2\/5, -2\/9, b in ascending order.\nAnswer: -2\/9, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6016 and 1664.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.2223 - -1.2223. What is the nearest to -9 in 1\/3, -17, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*m + 484 = 504, -3*m = 5*j - 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 7*x**5 - 2*x**5 + (9*x**4 + 10*x**4 - 21*x**4)*(-10*x + 166 - 166) + 0*x**5 + 3*x**5 - 2*x**5.\nAnswer: 26*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 273*k + 276*k = -104, -4*k = -3*p + 124 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 5*u - 6. Let j be (u*15)\/(11\/5 - 2). What is the highest common factor of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1246.6 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from mmymzzzmmabn?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68*(-10)\/170)\/(8\/(-86)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -255*a**4 - 48*a**2 - 6*a**3 + 253*a**4 + 22*a**3 + 36*a + 6*a**2 = 0. What is a?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 70*x**2 + x + 1. Let h be z(2). Let y = 160 - 208. Let u = h + y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 3*l - 133744 = -13*p, -4*p + 4*l = -133752. What are the prime factors of p?\nAnswer: 2, 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297*t = -1236*t + 488 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 51. Solve -4*u + 2*a = -g*a - 24, 2*a = 2*u - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117076772 + -5?\nAnswer: 117076765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -103540 divided by -2?\nAnswer: 51770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5994*c + 30103. Give j(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 353, 707, 1061, 1415?\n\"Answer: 354*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 916262992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31 + 3 + 3 + -6. Let h = -16 + t. Solve h = o + 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 160. Let r = 158 + -108. Calculate the highest common factor of i and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19299 = -14*a + 189. List the prime factors of a.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - ((0 - 9 - (3 + -73)) + 6)) + 12\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 greater than -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/h**(-7\/2)*h)\/h)*h*h*h**(5\/2)\/h)\/(h**(7\/12)\/(h\/h**(2\/5))) assuming h is positive.\nAnswer: h**(-59\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 + -0.2. Let h = -3.552 - j. Round h to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/(x*x**(2\/81))*x)\/x*x*x)*x*x**(-9))\/(x**(-16)\/(x*x\/x**13)) assuming x is positive.\nAnswer: x**(-403\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83074.15919 - -83075. Let k = -0.33 + 1.17. Let x = k - d. Round x to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -59, -0.1, 1.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 151 = k - 10*o + 232, -4*k + 239 = 3*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740970 is divided by 73983.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m + 11. Let n(a) = -7*a. Let h(r) = -27*r - 1. Let l(g) = -6*h(g) + 22*n(g). Let k(y) = 6*i(y) - 11*l(y). Let w(q) = -3*q. Give k(w(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 3. Calculate z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d**(1\/4)\/d*(d\/d**(-2\/7))**(-3))\/((d\/(((d*d*d**(1\/4)*d)\/d)\/d*d))**(-5\/7))**25 assuming d is positive.\nAnswer: d**(-1857\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from {j: 1, c: 1, l: 5, y: 1, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j**3 - 220*j**2 + 496*j - 368 = 0. Calculate j.\nAnswer: 2, 23\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 27 = -57 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158798 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 505514179 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 4*j - 3*j, -5 = -2*j - c. Solve s = j, 4*d - 5*s + 20 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379585856 divided by 5.\nAnswer: 379585856\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 23*r\/3 - 14.\nAnswer: -(r + 2)*(r + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 8 - 19 - -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3732070*j - 144127*j - 1296701*j.\nAnswer: -5172898*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2379*h - 2383*h + m + 10 = 0, -2*m - 20 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(22)\/sqrt(176) + sqrt(2) - sqrt(2)) + sqrt(18)*1).\nAnswer: 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let d be f(4). Let g = -4 + 6. Factor 4*n**2 - d*n**2 + 3*n**g.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5120000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 203 = 5*c + 9*t, 4*c + 5*t = 146. Calculate the remainder when c is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2462, -247, 0?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16554 is divided by 230.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197243121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a + 5. Let o(n) = -7*n**2 - 3*n + 8*n**2 - 10 + 6*n. Let d be o(-4). Let x be f(d). Solve 5*c = -g + x, -3*c = 2*c - 4*g - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4101, 32851, 110923, 262989, 513721, 887791, 1409871?\n\"Answer: 4112*c**3 - 11*c**2 - c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**8\/1680 - n**6\/36 - n**3\/3 + 4*n. Let d(i) be the second derivative of r(i). Find the third derivative of d(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 283. Let l = z + -129. Which is the second biggest value? (a) -3 (b) 0.4 (c) l (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o*o**(-2\/7))**(-34\/9) assuming o is positive.\nAnswer: o**(544\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 114549 + 170625?\nAnswer: 285174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 1622*i**2 + 1 + 1627*i**2 + (-2 + 2 - i**2)*(1 + 2 - 2) to l*i + s + b*i**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 250 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.6 - -9.4. Let j = b - 11.6. What is j rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 951 * -11.32.\nAnswer: -10765.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -28, -69, -136, -235, -372, -553?\n\"Answer: -n**3 - 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 + 14148*d**3 - 225584*d**2 + 845040*d = 0. Calculate d.\nAnswer: 0, 6, 10, 3521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 17*k)*(-1 - 3 + 5)*(2 + 2*k - 2 - 1)*(-k**3 + 3*k**2 - 3*k**2).\nAnswer: -34*k**5 + 17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -129642276 divided by 2?\nAnswer: -64821138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 2*n - 30, -5*n + 21 = 2*w. Let r be (0 + 1)*8\/2. Let g be (-2 - (-6)\/r)*-4. What is the highest common divisor of g and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 20, 30*v = 5*s + 31*v. Solve -5*r = -5*m + 5, -6*r + s = m - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 + -146. Let w = -12 - -50. What is the greatest common factor of w and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**3\/6 + 4*w**2 + 2*w + 1. Let c(n) be the first derivative of d(n). Let i be c(8). Which is bigger: -1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 18*k**2 - 17356*k - 174357. What is c(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -935177.57 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3747 - -3744. What is the closest to 2\/5 in 0, i, -3\/5, 138?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2105899559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 44386.\nAnswer: 63\/22193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, -2, -0.07, 0, 0.4, 1\/2 in descending order.\nAnswer: 1\/2, 0.4, 1\/16, 0, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -368*r - 12*r**2 - 220 - 46*r + 3*r**2 - 85*r.\nAnswer: -(r + 55)*(9*r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090226 is divided by 3037.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a meter in millimeters?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -10.5. Let r = 140 + -143. What is the closest to r in 0.1, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 20. Let t be -1*3\/v - (-56)\/16. Suppose 2158 = t*z - 3*j, 5*z - z - 2170 = -3*j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**2 - b**3 + 8*b**2 + ((2*b + 4 - 4)*(-2 + 3 + 0) + b - 2*b + 6*b)*(-2 + 2 + b**2).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 9500098.\nAnswer: 9500098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**2*v**2 + 69445*d**2 - 67602*d*v**2 + 12*d*v + 123 wrt v?\nAnswer: -4*d**2*v - 135204*d*v + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 - 1.16588\nAnswer: -1.84588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y - u, -5*u = 15. Let i be (6 - (3 + y)) + 3. Solve -k + 4 = 2*l, -k + i = 2*k + 3*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/32*(-32)\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 21 - 84*b - 16)*(3*b**2 + 7*b**2 - b**2).\nAnswer: -756*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359 by 2.\nAnswer: -359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13256 and 971002.\nAnswer: 3884008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/(0 + (-2)\/(-1426)). Let n = -355 + r. Suppose 0 - 21\/2*g**2 - 27\/2*g**3 - 3*g - 15\/2*g**4 - n*g**5 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337702 is divided by 21100?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(4 + -1*((6*(sqrt(128) + -1))**2 - sqrt(128))) + -3.\nAnswer: -27843 + 3504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, u: 2, x: 2}. What is prob of sequence uu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*-6265.\nAnswer: 407225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + 19\/(513\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 432007896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 5. Let x(t) = t**2 + 10*t - 14. Let d be x(-12). Suppose -25 = 5*y - d*y. Is g(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {d: 1, b: 3, u: 1, a: 3, c: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 5*l**2 + 37*l - 6. Calculate k(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1\/6, 15, 0.099, -0.2 in increasing order.\nAnswer: -5, -1, -0.2, 0.099, 1\/6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let j(w) be the second derivative of -4*w - w**3 + 1\/20*w**5 - 1\/2*w**2 + 1\/3*w**4 + 0. Let d be j(-5). Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 20*r**2 + 41*r + 529. Let t be k(-16). What is the highest common divisor of 207 and t?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -2, 0, -3\/5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z + 52*z - 11*z)*(-6 + 2 + 2) - 7*z + 28 - 29 + 3*z to r*z + c and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 27\/(-6))*(-2)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564637764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 9*q + 7. Let f be t(-8). Let z(v) = -v + 4. Let c be z(-4). Suppose -w = w - c. Sort w, f, 2 in decreasing order.\nAnswer: w, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36648818?\nAnswer: 2, 167, 179, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/18 and 83\/21524262?\nAnswer: 64572786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8 + (-426)\/(-8)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 10. What are the prime factors of w(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/10)*p**(2\/19))\/(p\/p**27*p)**4 assuming p is positive.\nAnswer: p**(18963\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g. Let r(i) = 25*i - 42. Let u(c) = -1026*c + 1729. Let q(z) = -247*r(z) - 6*u(z). What is q(l(j))?\nAnswer: -133*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(4\/9)\/((v*(v*v\/((v**(1\/4)\/v)\/v))\/v)\/v*v*v\/(v*v\/(v\/(v\/(v**(5\/2)*v))))))**(-4\/13) assuming v is positive.\nAnswer: v**(257\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**7\/735 - p**6\/30 + 23*p**5\/70 - 12*p**4\/7 + 36*p**3\/7 - 73*p**2. Factor v(m).\nAnswer: 2*(m - 6)*(m - 3)**2*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259538427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30120230 (base 4) to base 7.\nAnswer: 300623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from vjjjmvmvvmvrmrvrr?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1822195 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.4, 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 0. Let o(q) = 3*q - 3*q + s*q. Let c(m) be the second derivative of -m**4\/12 + 32*m. Give c(o(p)).\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 24*q - 25*q. Suppose q*p + 28 = 36. Suppose p*n = 70 + 58. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/7 - 1536931*f\/7 + 3073866\/7 = 0.\nAnswer: -1536933, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-296)\/111)\/((-1105)\/(-175)) + (-6)\/(-13).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8603, -34405, -77407, -137609, -215011, -309613, -421415?\n\"Answer: -8600*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13561 - 12504. What is the remainder when d is divided by 259?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/(-8)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 5*d + 2. Let q be b(-3). Let r = 420 - 417. Suppose r*m - 6 = 0, 4*j - 3*m + 2 = 3*j. Put q, -87, j in descending order.\nAnswer: q, j, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 + 16*a + (-3 + 3 - 6*a)*(-2 - 1 - 4) + 2*a - 2*a + 2*a - 3*a + 6*a - a to w + b*a and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 1. Let s be n(-1). Is (2 + -1)\/(s\/(-127)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z - 508. Give u(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r - 20. Suppose 4*h = -2*t + 2, -4*t + 0*h + 11 = h. Suppose t*x + 17491 = r*f, -2*f + 0*x + 6997 = -x. Round f to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 12:45 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/14)\/f*f**(-11) assuming f is positive.\nAnswer: f**(-153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 53602320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3608727464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 132. Let p(f) = f - 10. Determine k(q) - 2*p(q).\nAnswer: -q - 112","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -19*g**7\/42 + 382*g**3\/3 - 83*g**2. Differentiate a(f) with respect to f.\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -0.9, -0.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 443 and 1329.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 61*c + 1179. Determine v(-20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 0*z**2 - 10*z + 4 + z**2 + 2*z. What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5. Let n(p) = -p. Let r(q) = -n(q) - x(q). Let f = -3 - -7. Let b(i) = i - 6. Determine f*r(y) - 3*b(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.107 and 0.121.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*u + 345 = 15*u - 36*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + a + 199 = 4*a, -4*r + a = -195. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 493\/6. Let v = -32.7 - -216.7. Let f = v - 183. Which is the second smallest value? (a) -2\/11 (b) f (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*f = 73*f + 1015. Differentiate -361*r**3 + 175*r**3 - 43 + f*r**3 with respect to r.\nAnswer: -123*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagg. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 9*w + 11. Let y be h(8). Suppose -3*v = -9 + y. Solve 6*k**2 - 3*k - v*k**2 + 1 - 2*k**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-11 - -15) - (12 - 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 249 = 64*c + 157 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -936.33 and 7.449?\nAnswer: 943.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 209.32?\nAnswer: -206.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1551 or 2\/149?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijzhwhhhzjwjihjjiii. What is prob of sequence ijzi?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*b**3 + 7101632*b**2 - 672*b**3 - 7101632*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 4*b + 5. Let k be j(5). Suppose -u + 30 = 5*z, 2*u - 5*z + 15 = -k. Solve -4*n - 16 = -u*p, -4 = -2*p + 2*n - n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -278.79 + 282. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -2122, -7783, -18970, -37525, -65290, -104107, -155818?\nAnswer: -222265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1836098, -1836096, -1836094, -1836092?\n\"Answer: 2*l - 1836100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151445449 to the power of 1\/3, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 11) to base 13\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1323 and 54783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Suppose -2*i - 20 = -2*f, -17 - 21 = 3*i - 5*f. Let q(k) = 6*k + 76. Let c be q(i). Calculate the greatest common divisor of z and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/11 - -59\/55. Let z = -258\/7 - -1555\/42. Which is the nearest to h? (a) 0.1 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210977.\nAnswer: 2210977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 4463607.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10422 * -0.05.\nAnswer: -521.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111266427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 9.2, -3.\nAnswer: -3, -0.03, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -9 - 15. Suppose -s*l + 9*l = 0. Solve l = 4*d - 16, -4*y = -d + 2*d - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = -13. Let i be (-86)\/(-56) + 4\/(-14). Let q be (4 + -6)\/(5 + -2). Which is the second biggest value? (a) p (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 55 = 3*x, 2*x + 2773 = -3*a - 2*x + 2798 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*b - 148*b + 469*b = 1929 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(13\/6 + -2). Let s be 3\/(-2)*(-4 + t). Suppose -h = 2*h - 6. Put h, -2, s in descending order.\nAnswer: h, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*q - 4, -6 = -5*m + m + q. Let t be m*1\/2 - -4. Solve -4*d - t = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.229275 - -3122103?\nAnswer: 3122103.229275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.2 (c) -596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 3. Let a be k(5). Suppose -m = -5*m + a. Suppose 7 = 4*z + m. Solve 5*r = -z - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6746.12 + -6746. Which is the closest to -0.2? (a) n (b) -2 (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (11 - (-8 + 25))) + 32\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 10*c**2 - 18*c + 19. Let k be i(8). Let m be (2 - 4)\/(4\/2). Let n be (4 - 4)\/(m + 0). Solve n = k*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*o**2\/2 - 73*o\/2 + 60.\nAnswer: -(o + 8)*(11*o - 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {p: 1, c: 2, h: 3, x: 3, a: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28540556569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8424276362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 59, 125, 213, 329, 479?\n\"Answer: b**3 + 2*b**2 + 37*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*8\/100 + (-26)\/40\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15639448 is divided by 1289?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 5. Let v be j + (-4 - 0) - 2. Solve -6 = -v*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1234, -2500, -3802, -5146, -6538, -7984, -9490, -11062?\n\"Answer: -n**3 - 12*n**2 - 1223*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(847))**2 - sqrt(7)).\nAnswer: -sqrt(7) + 3385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*w**3 - 1735*w**3 + 4315*w**3 - 1735*w**3 + 883*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-8))\/((-47)\/(-1626952)). What is x rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15254 and 609?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 11*u + 3*z - 3*z + 3 = -z, 4*z = -44 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581408690?\nAnswer: 2, 5, 61, 293, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**3)\/b*b**(2\/3))\/((b**(-3)*b)\/(b**(3\/2)*b)))**20 assuming b is positive.\nAnswer: b**(550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 5 + 101 + 17 + 145 + 2*f.\nAnswer: 2*f + 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 343328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45, 14, -29, -90, -175, -290, -441?\n\"Answer: -a**3 - 24*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 23*h + 5*h)*(-h + 2*h - 2*h).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 9*l**2 - 10*l + 10. What is the smallest common multiple of 2 and v(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-18))\/((-10)\/6)*706. Let n = -96 - m. Is n != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**5 + 1632*r**4 - 164816*r**3 - 337832*r**2 + 164820*r + 336200 = 0.\nAnswer: -2, -1, 1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + 1 - ((-93 - 60) + 141).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 2. Let x be b(7). Let u = x + 10. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Solve y + 12 = 4*s, -3*y + s = -v*s + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11.211198 hours?\nAnswer: 0.46713325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/122550 and -143\/3799050.\nAnswer: 3799050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4208929049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 11*p**5\/4 - 2049*p**4\/4 - 2823*p**3\/2 - 2267*p**2\/2 - 381*p\/4 + 567\/4 = 0.\nAnswer: -1, 3\/11, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421\/10 - -42. Which is the closest to -1\/3? (a) -1 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**6\/495 + n**5\/132 + n**4\/132 - 4*n**3\/3 + 1. Let a(o) be the third derivative of i(o). Suppose a(j) = 0. What is j?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*v + 8, 1 + 3 = -5*f + 3*v. What is the remainder when 12 is divided by 11 + f - (-2 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**5 - 729*o**4 + 45603*o**3 - 890151*o**2 + 1603674*o = 0.\nAnswer: 0, 2, 41, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(12\/14*(-28)\/(-90))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -591 - -591. Suppose -4*s - 12 = -4*u, -2*s + 1 = 2*u - 1. What is the biggest value in u, 0.4, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -857*f + 60 = -426*f - 419*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21098 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226897024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -106003 (base 13) to base 6\nAnswer: -12123554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.14 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-35)*7\/(-14)*((-3)\/1)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2 + 8\/3) - (178 + -185)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/((g**(-2\/7)\/g)\/g))\/(g\/(g\/((g\/g**(-5))\/g)*g)*g\/(g*g**(-1\/4)*g)) assuming g is positive.\nAnswer: g**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48562*k + 973600 = 38826*k for k.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4199329, 4199335, 4199341, 4199347, 4199353, 4199359?\n\"Answer: 6*d + 4199323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 197.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124606703 divided by -6.\nAnswer: 124606703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 49.04. Let k = 0.59 + n. Let r = k - -0.07. Put -5, -0.4, r in descending order.\nAnswer: r, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -32280528 and 116.\nAnswer: -32280412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6325629*u + 6325629*u - 32*u**2 - 51 - 53.\nAnswer: -32*u**2 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:20 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**2 + 100*y + 375 = 0.\nAnswer: -15, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - 2*b + 1. Let l be f(1). Suppose 1 = l*w - j - 13, -4*w + 3*j = -27. Let -3*o**3 - 2*o**4 - 2*o**3 + 4*o**3 + w*o**4 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-15) + 164566\/(-95544). Let h = -1\/5308 - i. Let s = 2297\/532 + 79\/76. Calculate the common denominator of s and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 19)\/(2*-1). Suppose -2*h = -s - s - 50, -s - 7 = m*h. Let w be s\/(-10) + (-2)\/10. Solve t + w*x + x + 8 = 0, 3*x + 4 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*w + 1)*(-3*w + 0*w - w) + (0 - 3 + 1)*(-16*w**2 - 8*w**2 + 35*w**2 + (1 + 1 - 6)*(3*w**2 - w**2 + w**2)).\nAnswer: -6*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -205.5855369 rounded to zero dps?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*k**2 + 6*k**2 - 4*k**2 + (2*k - k - 3*k)*(-2*k - 2*k + 3*k) - 2*k**2 + 0*k**2 + k**2 in the form g*k + q + m*k**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 - 4*q**2 + 4*q + 18. Determine y(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 135 = -c. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, e: 7, d: 2}. Give prob of picking 1 e and 1 u.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1132, -2004, -2862, -3700, -4512, -5292?\n\"Answer: g**3 + g**2 - 882*g - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6865 and 8590861?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*v**2 + 3*v**2 - 6*v**2)*(-3 + 3 + 2) - 317*v**2 + 417*v**2 + 559*v**2.\nAnswer: 719*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-6) + (1 - 5). Let c = 18 + b. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.96 - 0.04. Let t be 18\/15*15*12\/(-54). What is the third smallest value in c, -2\/7, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6781 - -6717.7. What is b rounded to the nearest integer?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8850416 millilitres in litres?\nAnswer: 0.0008850416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2\/3 (c) -138 (d) -2 (e) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/19*q**2 - 128\/19 - 40\/19*q = 0. Calculate q.\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 9. Let t be ((-9)\/48)\/(j\/(-18)). Which is the smallest value? (a) 3 (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48, -1\/3, -19\/2?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -25. Let t = 0 - o. Suppose -5*j - y + 15 = 0, t*j - 3*j = 2*y + 6. Solve -5 = j*h - 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*f**2 - 14770*f\/3 - 53998\/3.\nAnswer: -2*(f + 133)*(54*f + 203)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*u = -44, -4*v - 3*u + 14 = -6. Suppose 2*z = 1 + 1. Let j = 2 + z. Calculate the smallest common multiple of j and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6, -3 in increasing order.\nAnswer: -6, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8371 - -50077\/6. What is the common denominator of i and (-6)\/(-2) - 339\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/22)\/(12\/936*-13).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*w - 4*w - 69, 0 = -5*l - 2*w + 352. Let u(i) = 2*i - l - 7*i + i**2 + 37 + 37. Calculate u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oommo. What is prob of sequence ommo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c).\nAnswer: 2*c**2 + c - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:59 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7 - 4 + 4 + m**3 + 7*m**2 - m. Let l be b(-7). Suppose l*q + 4 = 2*q - 3*r, q = r + 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830957 to the power of 1\/2, to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -18. Let o be 4\/3*(-24)\/16. Let s be o\/15 + (-1)\/(-3). What is the nearest to -0.12 in s, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3231030, -12924114, -29079250, -51696438, -80775678, -116316970, -158320314?\n\"Answer: -3231026*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -10, -6, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 355.8 + -357.8. What is the nearest to 1 in -3, p, -9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 6*l**2 - 6*l - 3. Let j be g(7). Let m(x) be the third derivative of x**4\/6 - x**3 + x**2. What is the units digit of m(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 24059*y**3 + 2*y**2 + 24062*y**3 - 3*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 84 = -8*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(-4 - 3 + 4 - 3 + 4 - 3 + (-1 + 2 + 0)*(-5 + 4 - 1) + 0 - 1 + 0 - 1 + 3 - 3 + 2 - 3 + 2 + 1 - 4 + 5 - 4 - 11 - 17).\nAnswer: 76*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37156162 + 0.1138832?\nAnswer: -37156161.8861168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -80. Suppose 13 + 19 = -2*z. Let g = z + j. Solve 4*k + 3*f = 2*f + 8, -g = 5*k - 4*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 6) to base 9\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-13)\/(-26))\/(-15*3\/378)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457224924 and 1404.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 14 - 15)*(0*l**2 - l**5 + 0*l**2) - 15*l + 15*l + 12*l**5.\nAnswer: 30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.045 - 0.355. Let n = -0.6 - p. Let m = -0.01 + n. Which is the nearest to -0.1? (a) 2\/7 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 9:02 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2128 and 7660496?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 9. Let y be (-1 - 3) + -2 + 8. Let w be 6\/((-5)\/y + 4). Is a(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 31. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607276 a multiple of 967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*4\/(-20))\/(-7*(-44)\/(-770))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655324350 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 155142, 155140, 155138?\n\"Answer: -2*r + 155144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1119.\nAnswer: -223.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 10*u + 24. Let d be f(-14). Let j = d + 52. What is the tens digit of (6 + (-504)\/j)\/(6\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.57 - -8491.9468153\nAnswer: 8491.3768153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 56*c - 5. Is 21 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r - 8. Let g be y(-5). Suppose f - g = -2*w, 4*f + w = 25 + 35. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -185?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/9, -217, 0.9, 1, 74, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 21479078*b\/9.\nAnswer: 2*b*(b - 10739539)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -23. Let q be 122\/w - 398\/995. Let 147\/8*x**2 + 57\/8*x**4 + 3\/2 + q*x**5 + 135\/8*x**3 + 9*x = 0. Calculate x.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 99155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330 - -112303?\nAnswer: 121233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/t**(-8))\/t*t*t))\/(t\/((t\/t**(1\/5))\/t)))**44 assuming t is positive.\nAnswer: t**(-2464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1015, 1126, 1237, 1348, 1459?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13161*k - 13166*k + l = 2, l + 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67188998 is divided by 161.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*o - 2858, -6*n + 11356 = -2*n - o. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101739?\nAnswer: 3, 11, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-168)\/(-11)) - 85\/(-102) - (-1672)\/(-1309).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27.1, 0.3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1508 and -185\/113568.\nAnswer: 3293472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*b - 128*b - 3*b in the form l + t*b and give t.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 213323100 (base 4) to base 11\nAnswer: 10195a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let z(t) = -26*t**2 + 16*t**2 + 18 + 14*t**2. Calculate z(f(i)).\nAnswer: 16*i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2 + 208 + -198\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -348, -1209, -2896, -5685?\n\"Answer: -46*n**3 + n**2 + 8*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 8656?\nAnswer: -8658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 218.171. Let g = m + -0.119. Let t = g + 2.19. What is t rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 11:50 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from sypskiismksyisi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6047*q - 6042*q + 718*q**3 + 12089*q.\nAnswer: 718*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 732*c**3 + 39860*c**2 + 17928*c.\nAnswer: 4*c*(c + 54)*(183*c + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.2, -4, -0.1, 9, -23 in descending order.\nAnswer: 9, 0.2, -0.1, -2\/7, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 3*x - 5*x + 22*x - 2*x + 11*x - 10 to the form s + a*x**2 + t*x and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824 - 803 = -21*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2411 (base 7) to base 6\nAnswer: -4042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 57438.\nAnswer: -287190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 60*b - 224 = 40*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189\/2959 or 1?\nAnswer: -189\/2959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.033 - -0.067. Is -6 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**3\/3 - r. Let a = -8 + 1. What is the units digit of b(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 458734722 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193804ml in litres?\nAnswer: 0.0000193804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 15*q = -16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 5, f: 3}. What is prob of sequence fmmf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-14 + -3)) + -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 11*g + 8. Let x be h(-8). Let p be (-6)\/33 - x\/(-154). Which is the third biggest value? (a) p (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 11*k + 4*k - 7*k**2 to the form x + d*k + g*k**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 divided by -149.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k - 39. Let f be d(-11). Suppose -4939 = 104*v - f*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/38520 and 19\/45954360.\nAnswer: 45954360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -91. Put p, 3, -0.8, 0.4 in descending order.\nAnswer: 3, 0.4, -0.8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 14 = 20. Suppose 5*b = -u*p + 610, b = -0*b - 5*p + 145. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 5, -2, 3, -4 in ascending order.\nAnswer: -4, -2, 3, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/35 and -9\/20324.\nAnswer: 711340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11743 or 2\/19?\nAnswer: -11743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -80, -129, -194, -281?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/14)\/(((-2)\/(-8))\/((-189)\/(-144)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.29287235 and -2.\nAnswer: 4.5857447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**5\/10 - 147*c**2\/2 - 41. Let p(f) be the second derivative of g(f). Let l(z) = 4*z + 1. Give p(l(w)).\nAnswer: -96*w**2 - 48*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -26*b + 5. Let s be a(2). Let u = 80 + s. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -15)\/((-14)\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 401*f**3 + 5*f**2 - f - 5. Let q be w(-5). Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89046 is divided by 598?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5*h + 17 = -4*l, 2*l + h + 3 = 0. List the prime factors of -279*14\/(-21) + l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334393360 - 172615079 = -441*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 + 5*v + 3. Let o(c) = -c + 1. Let i be o(-4). Let g be w(i). Solve 0*k = k + g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192770 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(16*u - 7*u + 4*u).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -549*b - 410*b - 138*b + 133*b - 1397*b + 4280 with respect to b.\nAnswer: -2361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -s - 3*g, 0 = 4*s - 4*g - 4229 + 2113 + 2112 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*k**2*n**3 + 258*d*k**2 - 2*d*k*n**3 + 2*d*k - 58*k**2*n - 119*k*n**3 - 3 wrt k.\nAnswer: -2*d*n**3 + 516*d - 116*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 + 382 = 4*i - 2*f, -3*i + 409 = -f. Let j be (4\/i)\/(4\/(-16)). What is the nearest to 0.1 in 3, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -294, -1, -2.\nAnswer: -294, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 - 1. Let t be 25\/50 - 7\/(-2). Let w(m) = -m**3 - 2*m**2 - m + 1. Determine t*b(a) + 2*w(a).\nAnswer: 2*a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -288? (a) -0.198 (b) 1 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1436642986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)\/((-9)\/27). Let s be n\/(0 + 1) - 46. Let j = -26 - s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 8. Let k(v) = 4*v**2 - 5*v - 6. Let s(l) = 5*l**2 - 6*l - 7. Let r(p) = n*k(p) - 6*s(p). Find the second derivative of r(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*g - 66*g**2 - 2 + 69*g**2 + 39*g**5 + 2 + 231*g**5 wrt g.\nAnswer: 16200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -915, -3, 1\/13, -2\/13, 0, -2 in decreasing order.\nAnswer: 1\/13, 0, -2\/13, -2, -3, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4966308 and 4176?\nAnswer: 19865232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040285.\nAnswer: 5, 208057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 53?\nAnswer: 9911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 86. Put 5\/4, g, 0.1, 2\/31 in decreasing order.\nAnswer: 5\/4, 0.1, 2\/31, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 - (-2 + 10 - (-7 - -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 35*c**2 - 36*c**2 + 53*c + 7*c.\nAnswer: -c**2 + 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 - k + 4. Let v = -6 - -3. Let d be o(v). Which is the smallest value? (a) -0.2 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2173, -6971, -14977, -26191, -40613?\nAnswer: -58243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.074 + -3.974. Let z = -1.925 - -14.725. Let s = b + z. What is s rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from airhcyhchyha. What is prob of picking 1 y and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-6)*10*1\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:17 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*q - 18 + 137*q**2 - 46*q**2 + q wrt q.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25267744*h**3 - 18971388*h**2.\nAnswer: 151606464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 1, -4, 5, 2 in ascending order.\nAnswer: -123, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 364\/1040 - (-2)\/(-20). Which is the nearest to 0.4? (a) -2\/9 (b) 8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8433.833 seconds to milliseconds.\nAnswer: 8433833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -202 + -212?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 195. Let a = 319 - 279. Calculate the remainder when m is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*p - 163, -p = 10 - 12. Suppose 6*f - 5*f = -u + 15, -f - v = -5*u. Solve -u*h + 22 + 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -1, 0.3, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12 - (-1)\/(-3) - -2. Let d(j) = 4*j**3 - j**2 + 2*j - 1. Let t be d(u). Does 19 divide (5 - 3 - t) + (-1 - -110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8635 and 1570.\nAnswer: 17270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228*u**3 - 52*u**2 - 215*u + 101866167 wrt u?\nAnswer: 684*u**2 - 104*u - 215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2629 and 956.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 1240112.\nAnswer: 16121456","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is -4 divided by -295453?\nAnswer: 4\/295453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14 = -45. Let w = 2819 - 2602. What is the highest common factor of h and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 225?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428038006.\nAnswer: 2, 59, 12102017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3 - (-9 - -6). Suppose 0 = 5*x - w - 8, 4*t + 3*x = -15599994. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15874 and -0.9.\nAnswer: -14286.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -4 + 27 + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 26389 = -23453. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*d**3*k**2 + 32*d**3*s + 2*d**2*k**2 + 33563*d*k**2*s - 6328 with respect to s.\nAnswer: 32*d**3 + 33563*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 + -254. Let p be 0\/(-2*(-1)\/2). Suppose 3*m - 1 = -n - 0*n, 4*n = -m + 15. Solve p = -z*s - n*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22983877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 7*x**2 + 6*x - 7. Let v be o(7). Let l be (2\/5)\/(1\/v). Suppose 3*i + 20 = 7*i, i - l = -3*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 2*c + 3*c)*((-2 + 3 - 3)*(-8 + 1 + 2) - 2 + 0 + 0 - 3 + 1 - 1) + (-9*c + 21*c + 11*c)*(-1 + 2 - 2) in the form d + q*c and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 23*j = -28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:13 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 988\/780 + (-6)\/10. Which is greater: y or 92\/9?\nAnswer: 92\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 104*b + 414. What is m(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfw when three letters picked without replacement from wcwwwwcffcwfw?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 26 - -9) + (-1 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115164041.\nAnswer: 1481, 77761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {k: 1, j: 1, w: 6, l: 5, a: 1, z: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41372\/18 - (-1 - -1*91\/63) is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-30)*(-18)\/45. Which is the third biggest value? (a) 4\/7 (b) 1\/49 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f**2 + 4*f + 4. Let t(b) = -19*b**2 - 5*b - 5. Let q(m) = -5*o(m) - 4*t(m). Let x(k) = 9*k + 2. Determine x(q(v)).\nAnswer: -81*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.17, 0, -2\/3, -1\/2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -22 - (-28 + 27). Suppose -h - 304 = -2*m. Calculate the greatest common divisor of 41 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.252 * -10\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49427773*u**3 + 11208*u - 129 wrt u?\nAnswer: -296566638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/7? (a) 10567 (b) 49 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -32. Suppose -34 = 2*k - a*k. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 24) + 5 + (-4 - -1). Let h = g - -52. Suppose -2*l - 1 = v - 13, 3*v + 5*l - 34 = 0. Calculate the highest common divisor of h and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*p - 892 - 844 + 1734.\nAnswer: -279*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1012 and -0.187.\nAnswer: 189.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + 0 + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3 + 2 + 1 - 611*j. Let m be d(3). Let l = 473 + m. What is l rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3\/8 (b) -9 (c) -0.562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101 + -10?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -47, -132, -283, -518, -855, -1312?\n\"Answer: -3*u**3 - 6*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 24*h**2 + h - 8. Let m = -31 - -43. Let z be d(m). Suppose 5*a - 31 = 19. Solve -c = z*c + a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5 + 4*n - n**5 - n**5 - 5*n**5 wrt n.\nAnswer: -180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 11. Let i be r(0). Let f(d) = -2*d**2 - 22*d + 12. Calculate the remainder when 272\/(-12)*21\/(-14) is divided by f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17214, -5, -15 in descending order.\nAnswer: -1, -5, -15, -17214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/23 (b) -3\/7 (c) -38 (d) 1.7 (e) -1 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + ((sqrt(7) + 2 + sqrt(7) + 1)**2 + sqrt(7) - sqrt(7) - sqrt(7))).\nAnswer: 44*sqrt(7) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.347902 centuries to millennia.\nAnswer: 0.1347902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 15*b + 79 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2204 and -10\/2813.\nAnswer: 213788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -90*n + 543. Let m be i(6). Solve 4*g = m*g - 5, 0 = 5*c - 4*g + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ba8 (base 16) in base 7?\nAnswer: 62345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-19)\/((-4332)\/24)) - (-14)\/(-2)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60579077 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-35)*(m**(2\/3)\/m)\/(m\/m**(-6))*(m**8*m**(-2\/23))**(14\/11) assuming m is positive.\nAnswer: m**(6596\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a day in minutes?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 8*h - 3*h. Solve -c - q + 5*q - h = 0, 3*c = 2*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74012.043 hours in weeks?\nAnswer: 440.547875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8453 + 8469. Let q(t) = -2*t**3 + 32*t**2 - 3*t + 31. What is q(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3999131?\nAnswer: 17, 235243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356 - -377. What is the lowest common multiple of h and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 422149033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70961897 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024*-0.1.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -546, -1094, -1640, -2184, -2726, -3266?\n\"Answer: o**2 - 551*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33723 is divided by 231?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let k = -5 + m. Let x = 1\/17 - 41\/119. Which is the third biggest value? (a) x (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 - 2*m**3\/3 - 8*m**2\/9 + 8*m\/3.\nAnswer: 2*m*(m - 3)*(m - 2)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r - 18521 = 35839. Let a = 4306 + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 89900*j**2 + 1. Let c be i(1). Let a be (1 + 3082)\/((-2)\/(-94)). Let d = c - a. What is d rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.49+-4\nAnswer: 13.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 6 = -17*w. Suppose -3*a + 0 = -v - w, 0 = -v + 4*a. Let g be 11\/(825\/(-20))*(-10)\/v. Is g less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 + 234*j**2*v - j*v + 13*j wrt j?\nAnswer: -12*j + 468*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 703009266, 703009268, 703009270, 703009272, 703009274, 703009276?\n\"Answer: 2*l + 703009264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227 + 239. Let o be (13\/((-52)\/c))\/((-3)\/2). Solve x + 7 = o*x + 2*h, 5*h = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x**3 + 13*x**2 - 71*x + 359. What is the units digit of j(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 - 555 = -7*j. Put -0.5, 0.5, j, -5 in descending order.\nAnswer: j, 0.5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4844587.5 to the nearest 1000.\nAnswer: -4845000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1.1. Let t = -4 + 2. Which is the nearest to d? (a) 2 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -20*y**2 - 10*y + 10. Let g(n) = 4*n**2 + 2*n - 2. Calculate -3*f(h) - 16*g(h).\nAnswer: -4*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -17 - 17\/2*j**4 - 1\/3*j**3 - 4*j + 0*j**2. Find the third derivative of s(a) wrt a.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083225.\nAnswer: 3, 5, 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -19*r. Let y(m) = 10*m - 3. Let h(k) = 57*k - 17. Let d(w) = 6*h(w) - 34*y(w). What is d(f(l))?\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -9758602a?\nAnswer: 97586027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/10*2 - 4872\/(-20). What is f rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 116788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3393 (base 10) to base 12.\nAnswer: -1b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -29*i - 1. Let w(v) = -v. Let k(y) = 10*y + 8. Let j(a) = -28*a - 22. Let g(u) = 4*j(u) + 11*k(u). Let q(d) = 4*g(d) - 10*w(d). What is t(q(r))?\nAnswer: -58*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7bd + 3?\nAnswer: -7ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l + 2*i - 3, -3*l - 5*i + 17 = 0. Suppose -3*r = -5*t + 9, 0 = 2*t - l*r + 6*r. Determine a so that 0*a + 2\/13*a**2 + 2\/13*a**t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -c + 1, -3*c + 5 = 2*z + 2. Let p(n) = -9*n**2 - 1 + 8*n + z*n - n**3 + 7*n**2 - 5*n. Give p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f. Suppose 4*t - 16 = f, 0 = -5*s + 4*t - 3 - 8. Let r = 0 + s. Let h(l) = -2*l**2 + l - 1. What is h(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 + 14*o**3*t + 3*o**3 - 3*o**2*t - 10*o**2 + 2*t wrt o.\nAnswer: 48*o + 84*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*d = 6, -21 + 23 = d. Let m = 4.9 - 0.9. What is the biggest value in 0.4, m, -0.3, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 3\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*p = -24, 2*s - 7 - 1 = -2*p. Let y = s - 3. Solve 0 = -f - y*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4642 and 19\/4642.\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 + -222. Let z be -11 + p - (6\/(-2) + -4). Solve u + x + 3 = -0*u, -z*x - 11 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 144*b - 56*b + 46*b + (-2*b - b + 0*b)*(11 + 16 - 23).\nAnswer: 122*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -451\/1091 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:31 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 6*f - 14. Let n be u(8). Let h be -3 - 1*(-95)\/25. Solve 2\/5*x + h + 2\/5*x**4 - 6\/5*x**n - 2\/5*x**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Suppose s*v + 4536 = 2*v. Let d = v - -12135\/8. What is the common denominator of 133\/18 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3805 is divided by 105?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440.25 - 440.249991342. Round l to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 7. Let z(r) = r + 1. Suppose -4 = g - 3*i, i = 5*g + 10 + 10. Let c(h) = g*z(h) + j(h). What is the units digit of c(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 7*c**6\/24 - c**5\/30 - 55*c**4\/24 - 4100*c**3\/3 + 9*c**2 + 2*c - 1. What is the derivative of q(u) wrt u?\nAnswer: 105*u**2 - 4*u - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 49, 3, -2, -9 in ascending order.\nAnswer: -9, -2, 3, 9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/3)\/(6\/27). Solve 0*b - 6*b - n = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 27*k - 172. Let j be t(12). Suppose 0 = -5*f - 20, -88 = -3*i + 4*f - 12. Suppose -12*y + j*y - i = 0. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5\/5 - 1912*c**4\/5 + 192336*c**3\/5 + 23008*c**2\/5 - 467840*c + 3078144\/5 = 0. What is c?\nAnswer: -4, 2, 144, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 64*n**2 - 264*n - 3. What is v(6)?\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let k(o) be the second derivative of -o**3\/3 - 11*o**2\/2 - o. Let n be k(-8). Let t(b) = -b - n + 5. What is t(q(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 950926651 a multiple of 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495.128ml in litres?\nAnswer: 3.495128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*u**4 - u**3 - 115737*u**2 + 3990436 wrt u?\nAnswer: 376*u**3 - 3*u**2 - 231474*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j - 8*j + 7*j. Let i(t) = -t. Give a(i(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1433 + 2078. What are the prime factors of j?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -19*y**3 - y**2 - 2*y - 1. Calculate the remainder when 36 is divided by h(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/181 + 6869\/127605. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.18 (b) 3\/2 (c) -375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 12185.\nAnswer: 85295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1855, 1822, 1767, 1690, 1591?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 15*n - 59. What is r(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i\/i**(4\/9))\/i)*i)*i**6)\/(i**(1\/4))**(1\/49) assuming i is positive.\nAnswer: i**(8027\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 19*d + 28. Let j be g(6). Suppose -14 = -w + 3*f, 5*w + 5*f = -52 + j. Let u(c) = 2*c**2 - 5*c - 2. What is the remainder when u(-3) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 714540 to the nearest 1000.\nAnswer: 715000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 8, k: 5, x: 2, t: 3}. Give prob of picking 1 t and 1 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(288) + -4 + (-2*sqrt(288)*2)**2 - ((sqrt(288) + -2*sqrt(288))**2 + sqrt(288) + 1 - (sqrt(288) + 0 + sqrt(288) + 3)**2).\nAnswer: 156*sqrt(2) + 5471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.37 + 0.87. Let u = -72 + 214\/3. Which is the closest to u? (a) -2\/9 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 980426129 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.11 + 2.01. Let i = 3.6 - 5.6. What is the nearest to -2 in i, 0, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-147 + -27 + 40 + (7 - 0))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11296249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20227335.\nAnswer: 3, 5, 1348489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -19*p**5\/60 - p**3\/6 + 11*p**2 + 17. Let m be -1*((1 - 4) + 2). Give o(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622477365.\nAnswer: 3, 5, 31, 1338661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/4 + 2*g**3 - 2*g**2 - 5*g - 6. Let k(m) = -m + 3. Let o be k(-2). Let y be c(o). Solve 2*i + 2 + 0 = y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2895, 5782, 8667, 11550?\nAnswer: 14431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*i - u - 54402, -4*i + 54408 = 4*u. Round i to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.095 (b) -0.2 (c) -0.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34251 and 245?\nAnswer: 171255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 7*z + 720. What is the common denominator of 64\/33 and (548\/z*-4)\/(-12)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) 75 (c) -1\/3 (d) 4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or -872927?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 827326*r**2 - 1654658*r - 827330.\nAnswer: 2*(r - 413665)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-42 - (3 + (-39 - -17) + 8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244704*t**4 - 3*t**3 - 81*t**2 - 9746591*t - 4 wrt t?\nAnswer: -2936448*t**2 - 18*t - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-1725))\/(-1)*5\/2.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 16*m + 9. Let n be g(-10). Which is smaller: -132 or n?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2 - (4 + -2). Suppose -3*m + b - 5*b = 0, 0 = x*m - 4*b. Suppose -3*v + m*v = 0. Solve v = -4*n + 12, 8 + 3 = -4*o + n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**2 + q + 2. Let h(k) = 19*k**2 + 15*k + 14. Let u(n) = 2*b(n) - h(n). What is u(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 - 7*s - 6. Let u(c) = c**2 + c + 1. Suppose -32*h + 2 = -27*h + n, 3*n + 14 = 5*h. What is h*y(a) + 6*u(a)?\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6719.727 nanograms?\nAnswer: 0.006719727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 0 + 2\/11*l**2 + 4\/11*l = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -86*n. Let p(j) = -5*j. Let m(o) = 48*p(o) - 3*v(o). Let a(k) be the third derivative of -k**5\/30 + k**2. Give a(m(c)).\nAnswer: -648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 9 + -1*(12 + -4))*-2. Let t(b) = 4*b**2 + 40*b + 6. Determine t(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(81\/(-9))*(-1)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24800.483 rounded to the nearest 10?\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*x = -x + 80, 5*h - 4*x = -69. Let k = h + 23. Solve 0*l - k = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2510 + -2451. Let l = 96 - -18. What is the remainder when l is divided by u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(240)\/((sqrt(96) + sqrt(96)*-4)\/sqrt(12)))\/(-6*(sqrt(6) - (sqrt(378)\/sqrt(7) + sqrt(54))\/sqrt(9))).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (44\/121)\/1 - (-14)\/(-220)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 756135 by 5.\nAnswer: 151227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 + 12*v**2 - 16*v + 6 = 0 for v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5008*b + 93 + 15 = -5020*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508716127?\nAnswer: 19, 2339, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - ((-3 - -1) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2074)\/(-2562))\/(3\/(-63))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - 7*x - 7. Suppose 3*u = -3*z, -4*u = -2*z + 2 + 10. Let i(f) = f**2 - 2*f - 2. Let a(d) = z*m(d) - 7*i(d). Let r(c) = 13*c. What is a(r(t))?\nAnswer: 169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12543371*f*u**2 + 90*f*u - 120528*u wrt u?\nAnswer: -25086742*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2955 (base 12) to base 14\nAnswer: 1a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21258?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-9)\/(q**(2\/3))**(-2\/17)*((q*q**(8\/5))\/q**4)\/(q\/((q**6*q*q)\/q)*q*q**(-2\/25)\/q*q) assuming q is positive.\nAnswer: q**(21059\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 h when four letters picked without replacement from {k: 1, h: 3, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 84. Let o be d(-18). Solve 4*i - 8 = -4*n, 0*i + 4*n - o = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*x - 163*x - 134 = 391 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/9, 1\/5, -2\/2317 in ascending order.\nAnswer: -0.5, -1\/9, -2\/2317, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25.8 (b) 0.5 (c) -5 (d) -0.6 (e) 0.05 (f) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*20\/15)\/(-2). Suppose 0 = z*v + 4 - 16. Suppose -3*r + 3696 = 3*h, 11*h = v*h - 3*r + 6150. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b - 246. Let i be k(35). What is the smallest value in -23, 2, i?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-10)\/(-75))\/((-10)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/226, 5\/1411, -29 in ascending order.\nAnswer: -29, -1\/226, 5\/1411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - h + 4*h - 614 - h - 951.\nAnswer: h - 1565","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 15) to base 12.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -3\/2*o**2 + 1 - o - 1\/3*o**3. Determine h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011860609791 rounded to seven decimal places?\nAnswer: 0.0011861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -13\/210*q**7 - 23*q**2 + 0*q - 3\/20*q**5 + 0 + 0*q**4 + 0*q**6 + 0*q**3. What is the third derivative of p(w) wrt w?\nAnswer: -312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (648\/25)\/(-27)*-5*((-30)\/(-84))\/(-5)?\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 3*j - j - 9*j - 5. Let r be v(6). Suppose w = r - 18. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584650 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/1*(-2 - -4). Let z = -56 - -52. Let v = z + 10. What is the greatest common factor of v and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481, 2885, 4289, 5693, 7097, 8501?\nAnswer: 9905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 214 + 174)*(-85*b + 2 - 2).\nAnswer: -7395*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 211*t**2 + 31*t. Let q(d) = -211*d**2 - 34*d. Determine 6*m(h) + 5*q(h).\nAnswer: 211*h**2 + 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388487989?\nAnswer: 3, 9787, 81349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)\/v)**(-4\/33))**(-25) assuming v is positive.\nAnswer: v**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23*n**2. Let t be -8 + 7 - (15 - -1). Let s be 3*31 - (t + 13). Let h(p) = 97 - 2*p - s. What is c(h(q))?\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) + (-18)\/4. Let j be 144\/(-285) - i\/10. Let z = -8904.3 - -8904. Which is the biggest value? (a) z (b) 2\/11 (c) 0.3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from bbbbbbebbe?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 30*c**4 + 5*c**3 - 195*c**2 + 430*c. Let k(j) = j**4 + j**3 + j**2 - 2*j. Let o(m) = -25*k(m) + z(m). Solve o(r) = 0 for r.\nAnswer: -6, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 6*s**5 - 7*s**5 + (0*s**3 - 3*s**3 + s**3)*(2*s**2 - 26 + 26).\nAnswer: -15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 + 572*h - 4350. Determine x(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*v - 2*v + 7*v - 2 + 2 + 2*v + (2 + 0 + 0)*(v + 3*v - 3*v) - 1 + 1 + 5*v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-927480)\/(-58164) - (15 - -1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12230 - 11?\nAnswer: 12213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 120*p - 1675. Let u be n(14). Solve u*h = -7*h + 60 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -514433b?\nAnswer: -514433d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14228 (b) -1\/3 (c) -0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -13 (c) -235 (d) -1\/200 (e) 0.2 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 1, q: 1, v: 5, b: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 3, 17, 2 in increasing order.\nAnswer: -18, -4, 2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22813977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.02? (a) -101 (b) 3\/5 (c) -6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/33, -7, -0.01, 0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1071 - -2115. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 5.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 39.48, 3, 2, -3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 + (-6)\/(12\/(-10)). Suppose 53*t = 44*t. Sort t, 14, -1, u in descending order.\nAnswer: 14, u, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 15. Let u = o + -22.2. Which is the nearest to 0.2? (a) u (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u*u*u**(5\/4)*u*u)\/u*u))\/u**(1\/8)*(u*u\/(u**1\/u))**17 assuming u is positive.\nAnswer: u**(237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -172. Suppose -b = -4*i - i. 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: Let p(z) = -1 + 0 - 2*z + 2 - 2. Let b be p(-3). Suppose 0*s - 11 = -3*s - 4*k, 0 = s + b*k. What is the lowest common multiple of s and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2492, -19890, -67100, -159026, -310572?\nAnswer: -536642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 136*t**5\/5 + t**4\/6 - 61*t**3\/2 - 184*t. Find the third derivative of m(n) wrt n.\nAnswer: 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 176. Let s be h(-28). Suppose 2*a - s = -46. Solve -7 = 4*f + p + a, -4*f = 2*p + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488.75353256 + 0.3\nAnswer: -488.45353256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 204 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -11\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 141?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 5.38 (c) -2\/17 (d) -3 (e) -1 (f) 2\/11 (g) -4115\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 + 7 = 0. Suppose 5*a = r*a - 5*i + 37, -5*a + 5*i - 5 = 0. Let s = a - 2. Solve 0 = -s*o + 3*y, 9 + 2 = -o - 4*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98199322*o**6 + o**2 - 2*o + 3478553?\nAnswer: 11783918640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 140\/(-35) + 136\/2. What is the third derivative of k - 4*c**2 + 7*c - 64 + 2*c + 169*c**6 - 3*c wrt c?\nAnswer: 20280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l + 5*r - 0*r, -2*l = r - 9. Find the first derivative of -7*o**2 - 35 + 24*o**4 - 5*o**l + 12*o**2 wrt o.\nAnswer: 96*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2905*k - 81157. Calculate w(28).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 4, i: 2}. What is prob of picking 1 a, 1 i, and 1 l?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/10)\/(2\/(168\/3)). Let s = 46 - b. Solve -s*t = -9*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 163579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-12)\/16). Determine v so that -27*v**3 + 3*v**2 - 6*v**4 + 18*v**4 - 8*v**r + 11*v**2 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -15*j**3 + 7*j**2 + 17*j + 5. Let c(y) = -7*y**3 + 3*y**2 + 8*y + 2. Let s(v) = 6*a(v) - 13*c(v). Is 13 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.3 (c) 1.8 (d) 620\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134773 - -4461?\nAnswer: -130312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 11 + 8*g + 0*g)*(g**4 + 0*g**4 + g**4).\nAnswer: 16*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 544955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-29)\/((-1044)\/(-168)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*u - 3013 = 0, -5*f + 5*u - 10*u = -5015. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.37 + 0.61. Let p = 0.44 - y. Let z(u) = 3*u + 1. Let w be z(-1). Which is the nearest to 1? (a) w (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7920?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 + 9 = 0. Solve 0 = y*f - 6*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1307, -1315, -1345, -1409, -1519, -1687?\n\"Answer: -2*n**3 + n**2 + 3*n - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-1)\/(3\/(-2) + 220\/88). Factor 2\/15*h**p + 8\/5*h**3 + 2\/5*h - 4\/5*h**4 - 4\/3*h**2 + 0.\nAnswer: 2*h*(h - 3)*(h - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from ryggyrygy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8.39 * 105.2\nAnswer: 882.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/23 (b) -204 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 7*a**4\/26 - 32*a**3\/39 + 11*a**2\/13 - 4*a\/13 + 68. Factor f(m).\nAnswer: 2*(m - 1)**2*(7*m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - -15)*(-2 - -3). Suppose -12 = -n - 8, -3*x + f*n = -169. What is the highest common factor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((174\/(-24))\/(-29))\/(11\/8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = a - 437, -4*a = -5*g - 1748. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -1, -1054, 1.\nAnswer: -1054, -9, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 4*g. Let k be i(5). What is the common denominator of -3 - -2 - 37*3\/k and 75\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*c - 12 - 5 = 0, 11 = -2*x + 5*c. Let f = 0 - 0.2. Let i = 32 - 31.8. What is the nearest to f in -2, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 - 24 = 0. Let m(u) = -u**3 - 12*u**2 - 12*u + 16. Let q be m(t). Let d be 0 - (-4)\/((-12)\/q). Is d < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 549033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.133? (a) -0.5 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252669 is divided by 126324?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -949ba?\nAnswer: -949b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7\/b)**(-8\/7)\/((b\/b**(-2))\/b*b*b)**(-15\/4) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v - 132*v + 7*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k**3 + 2*k**2 - 2. Let p be z(-6). Let l = 25706 - p. Round l to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224427*f - 11278*f**2 + 22547*f**2 + 224427*f - 11274*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-13 + 7 + 3 - -17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -25*f. Let j be s(0). Is -2 - (-2 - 0) - (j + -38953) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 - 36*v**3 - 17*v**3.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -3)*2\/(-2). Let l be 1 + b + (1 - -3). Solve 2*j = -l, -s + 0*s = -j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/50)\/(-10*4\/(-200))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120210230 + 200?\nAnswer: -120210030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002559556 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 303 = 5*a. Suppose a + 314 = 3*o - 3*j, 357 = 3*o + 2*j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 9. Suppose -3*o + 91 = -4*i, o - 12 = -3*i + n. Calculate the remainder when 47 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61449 - 41253. List the prime factors of b.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-225)\/(-54)*(31 - (1 + 2)). Let j be (-4)\/(((-204)\/(-9))\/(-17)). Solve -1520\/9*p**j - 250\/9*p**5 - 976\/9*p**2 - 32\/9 - 32*p - x*p**4 = 0 for p.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1221 times -340?\nAnswer: 1741.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 797192303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = -2*o - 4, 3*o = c + 19. Let z be -1*(2 - 2)\/2. Suppose h - 6*h + 5 = z. What is the greatest common divisor of o and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3047527264?\nAnswer: 2, 95235227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341959404 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-88) - 29\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926.898 - -35?\nAnswer: -891.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**3 + c. Let f be r(1). Suppose -3*o + f = -2. What is the units digit of 0*3\/o + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677.9733 microseconds in hours?\nAnswer: 0.00000102165925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 197588?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.821616 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 3*b**2 - 2*b + 1. Let g(i) = i**3 - 24*i**2 + i - 27. Let h be (-680)\/(-28) + (-5)\/((-70)\/(-4)). Let f be g(h). Calculate x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -335233 or -335234?\nAnswer: -335234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 = -5*l + 1, -2*l + 2 = -k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/16268 and 67\/19411791.\nAnswer: 77647164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1110690 divided by -90\nAnswer: 12341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501298 = -36*a + 438591 - 138493. What are the prime factors of a?\nAnswer: 113, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*h + 4, 2*x + x + 4*h - 6 = 0. Solve -3*t + 15 = -5*f + f, x*f = 4*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137614551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -13*x**5\/30 - x**4\/24 - 281*x**3\/6 - 93*x**2 + 34. Let y(g) be the second derivative of f(g). Differentiate y(q) wrt q.\nAnswer: -52*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53\/59092 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) + sqrt(468)*1 + sqrt(468)))\/(-3*sqrt(36)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 72 - 85 = -3*n, 0 = 3*w - 4*n + 6. Solve -3*x + 6*a = 21, -2*x - 8 = w*x + 2*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23315 (base 6) in base 16?\nAnswer: d1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 8044069\nAnswer: 210\/8044069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21142 + -105711\/5. What is the nearest to -2\/3 in v, 2, 437?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 14*g**2 - 109*g + 904. What is w(10)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.07 - -3.07. Let y = l - -42. Which is the biggest value? (a) y (b) -1\/3 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54675433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0 + u + 0. Let s be f(3). Suppose 0 = -5*h - s - 2. Which is the closest to h? (a) -0.1 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*c + 2*p, c = 4*c - 5*p - 36. Let y be -16*(-2)\/(c\/39). Suppose -4*b - y = -5*w - 0*w, -4*b = -16. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5578, 5720, 6056, 6682, 7694, 9188, 11260, 14006?\n\"Answer: 16*n**3 + n**2 + 27*n + 5534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.76 - 0.24. Which is the smallest value? (a) -1\/5 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkakkikk. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9)*-3*18\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/112)\/(4 - 3)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 983271*n**4 - 4*n**2 + 6651*n + 4 wrt n.\nAnswer: 23598504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and (2 - (5 - 9))\/1.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -97.3. Let j = -10 + x. Let d = -1253\/9 - -139. Sort d, 0.5, j, -1\/10 in increasing order.\nAnswer: j, d, -1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -8. Let i = 0.9 - -0.1. What is the nearest to p in 3\/5, 2, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6) - (-2)\/4. Suppose 8 = -v + j. Let f(w) = -w**2 - 7*w + 1. Let p be f(v). What is the closest to 1 in 0.2, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/17857308 and 43\/28.\nAnswer: 17857308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let f(u) = -920*u**2 - u - 2. Determine j(f(g)).\nAnswer: -920*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) 2\/3 (c) 45\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112551061993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424270 divided by 1330.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -0.5 (c) -0.4 (d) 5 (e) 0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43833*b - 21914*b - 21916*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - 1a2a?\nAnswer: -1a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12840 is divided by 151.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + 37*m + 11. Is q(9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {p: 1, h: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1043*0.1.\nAnswer: -104.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m - 16 = -71*m - 5*t, 12 = -4*m + 2*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6980 + -2663. What are the prime factors of s?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 37*y - 251*y + 153*y. Let l(n) = 9*n**2. Calculate l(x(p)).\nAnswer: 33489*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -74. Let b = g - -109. Suppose 2*i + i = b. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -95, -86, -75, -62, -47?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.062 (b) -26\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b\/b**(-2\/5)))**(2\/29) assuming b is positive.\nAnswer: b**(-44\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = -9. Suppose 0 = -5*q + 3*q + 4. Solve i - k*u = q, 0*i - 2*i + 5 = -5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*((sqrt(2) + sqrt(2) + 0)**2 + 1 - sqrt(2)) + 3.\nAnswer: -37 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139978548 divided by -38.\nAnswer: 3683646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -31*i**5\/4 - 116*i**2 + 70*i + 222. Let o(r) be the first derivative of q(r). Differentiate o(x) with respect to x.\nAnswer: -465*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2186, -8791, -19806, -35237, -55090?\nAnswer: -79371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -15. Which is the closest to 0.1? (a) 15 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274 divided by -637.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.856 or -51\/11?\nAnswer: -51\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 4890240*k**2 - 58683420*k + 176050800 = 0.\nAnswer: -978060, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 129 - 140*t + 15*t**2 + 20*t**2 - 44*t**2.\nAnswer: -9*t**2 - 140*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1, 6\/11, -5, -14\/29, 1 in descending order.\nAnswer: 1, 6\/11, 2\/13, -14\/29, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 - 4*m**3 - 12*m**3 + m**3 - 9*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 2164*m**3 + 260412*m**2 - 5708716*m + 34843744 = 0.\nAnswer: 13, 136, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yray. What is prob of sequence yra?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 69827263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (162\/(-243))\/(3\/3). What is the nearest to -0.1 in -0.1, -1\/42, -2, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*b + 9*b + 20 = 0, 14 = 5*w + 2*b. Let n(z) = 8*z + 4. Let r(f) = 2*f + 4. Let v(x) = 2*x + 3. Let p(k) = 4*r(k) - 6*v(k). Give w*n(i) + 11*p(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1153893822 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 10*l**2 - 8*l + 9. Let t be f(-9). Suppose -y - y = -t*y. Suppose 5*m = -0*m + 5*i + 55, 4*i + 20 = y. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 96*j\/7 - 184\/7.\nAnswer: -2*(j - 46)*(j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3578363311.\nAnswer: 157, 1489, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -5*(sqrt(88) - (sqrt(88) + 3*sqrt(88) - sqrt(88))))\/(sqrt(64)\/sqrt(2) + sqrt(8)) + ((3*sqrt(99))\/sqrt(3))\/(1*sqrt(48)).\nAnswer: 53*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 8*14\/28 + -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 1 + 3. Suppose -l*m = 4*q + 2, -2*q = -3*m - 5 - 6. Let d(w) = -6*w - 107. Let h be d(-18). Is q <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -855, -3685, -8361, -14883, -23251?\n\"Answer: -923*d**2 - 61*d + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:09 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 415338923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, -1560, -2, 2, 4, -13 in increasing order.\nAnswer: -1560, -22, -13, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13870 - -7263. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3260 and (((-130)\/(-45))\/1)\/((-124)\/(-217))?\nAnswer: 29340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 3067308*i**2 + 587966898624*i + 21758974596352.\nAnswer: 4*(i - 383432)**2*(i + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 5 - (-24 + 24 + -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/33119 and -37\/10?\nAnswer: 331190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - l - 14 = 3*l, -i = 3*l + 12. Let k = 6 - 10. Calculate the remainder when 24 is divided by (18\/k)\/(i\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + k = 5, -3*k - 55 + 70 = 2*j. Solve j = 2*x - 6 + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 14, 6, -2, -10, -18?\n\"Answer: -8*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -10*s + 450. Let x = s - -38. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 4624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s\/(s**(2\/7)\/s))\/s)\/s**18 assuming s is positive.\nAnswer: s**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3567179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56136, 56138, 56150, 56178, 56228?\nAnswer: 56306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4. Let h = z - -1. Suppose 2*f + h*f - 48 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + sqrt(208))**2 + -3.\nAnswer: -20*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((-2*sqrt(384) - sqrt(384) - sqrt(384)) + sqrt(384)))\/(sqrt(3) + sqrt(243) - 1*(sqrt(3) + sqrt(6)\/sqrt(2))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d + 59 + 61 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 572d + -4?\nAnswer: 5729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 10*i - 29 = 0. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - (-16 - 1 - 1)) + 7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332971762, -332971750, -332971722, -332971672, -332971594, -332971482, -332971330, -332971132?\nAnswer: -332970882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 36*p**2 + 30*p**2 - 56*p**2)*(-98*p**2 + 10*p - 3*p + 94*p**2).\nAnswer: -40*p**4 + 66*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1002, -3299, -6892, -11781, -17966, -25447, -34224?\n\"Answer: -648*s**2 - 353*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 379*q*w*y**3 + 2*q*w + 2*q*y**3 - 466*q + 3*y**3 wrt w?\nAnswer: 379*q*y**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*y, -5*y + t + 7 = 3*t. Let c be ((-18)\/(-6))\/(y\/2). Solve -k = 4*m - 9, 0 = 6*k - 3*k + c*m + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3655.27 + 171002\nAnswer: 174657.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/16*(2 - 2). Solve m = -s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = c - 3*x - 311, 3*x - 655 = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*r**2 + 49*r + 3 - 104*r + 52*r - 4 to the form d + u*r + g*r**2 and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) + 1*sqrt(3630)*4)\/(-4*(sqrt(24)\/sqrt(4) + sqrt(6)) + sqrt(54)\/(sqrt(27)\/sqrt(3))))**2.\nAnswer: 15125\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322410 is divided by 148?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Suppose h = 13*h - 12. Let a(j) = 6*j**2 + 24*j - 21. Let o(g) = h*a(g) + 9*p(g). Factor o(x).\nAnswer: -3*(x - 7)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 538 - 245. What are the prime factors of c?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 835396002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393746.3 minutes to milliseconds.\nAnswer: 23624778000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.64 and 223078.\nAnswer: -365847.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/100)\/(47\/(27965\/(-153)))\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36825611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:33 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 6, h: 2, n: 3, c: 5}. What is prob of sequence nzc?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 3*i + 3*i - 8*i**3 + 9*i**2 + 2*i - 9*i**2 + (-5*i**3 - 2*i**3 + 6*i**3)*(-4 + 4 + 1).\nAnswer: -7*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.07 + 45.93. Let x = m + -58. Let a = x + 11.4. What is the nearest to 2\/7 in -1, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146612085 and 1090?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t - 2. Suppose 3*h - 8*h = -80. What is the least common multiple of h and b(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 - 2.3. Let u = 303182 - 303181.8999992. Let d = g - u. What is d rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-2) + (7 - (-40)\/(-8)). Let x be 2\/9 - 2150\/(-45). What is the highest common factor of x and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.13 (b) -1\/16 (c) -2\/15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - -6 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.013428 centuries in decades?\nAnswer: 80.13428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2476 = -100*g - 1624 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8355 is divided by 1052?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 183*r + 181*r)*(-2 + 2 + 2).\nAnswer: -4*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = h + 315, -k + 3*h + 63 = 0. Let p be 42\/k + 8\/90*-8. Is -1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -198448.113.\nAnswer: -198446.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let a = c - 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204499802.7 - 0.1.\nAnswer: -204499802.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06928 and 6327.\nAnswer: -438.33456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwfplywyupypwyp. What is prob of picking 1 y and 1 u?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/44)\/((-6)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/1039?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59155307 * 4.\nAnswer: -236621228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -944, -3083, -6656, -11657, -18080?\n\"Answer: h**3 - 723*h**2 + 23*h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 89548194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-13) + (-381)\/(-195) - 2. Let k = 0.1 + -0.2. Let r = -0.8 + 1. Which is the nearest to -1? (a) r (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19708279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 1\/330*a**5 - 1\/33*a**4 + 4\/33*a**3 + 9*a**2 + 0*a + 0. Solve s(v) = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = -0*z. Let v(b) = -21*b - 1. Is v(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d = 24*d - 12*d - 252 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**22\/((j\/(j*j\/(j\/(j\/j**(3\/4)))))\/j) assuming j is positive.\nAnswer: j**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25807490 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*i = 85*i + 103*i + 40, 5*v - 2*i = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuuwuuwspwugpppugpu. What is prob of picking 1 w and 1 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:18 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5*c + 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/20 - 17*o**4\/24 - 41*o**3\/6 + 69*o**2. Let q(x) = -x**2 - x + 1. Let w(y) = -5*q(y) - v(y). Factor w(j).\nAnswer: 2*(j + 2)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2114*h - 2115*h + 6 = 0, 28 = -14*q + 13*q + 5*h. Factor -25\/8 - 1\/8*d**q - 5\/4*d.\nAnswer: -(d + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48968046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 16*f**2 - f + 8. Let n be m(9). Suppose -3*j + 261 = 5*z + j, -3*z = -2*j - n. Solve -2*a + 47 - z = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38228101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/5 + 87702*j**3\/5 + 2018044*j**2\/5 + 7019688*j\/5 + 6668848\/5 = 0.\nAnswer: -19, -2, 43874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-100)\/(-36)) + (40089\/(-189))\/23?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 10*p - 7*p - 1761, 4*p - 2383 = 3*r. Let n be p\/11 - 4\/(-22). Let y = 85 - n. What is the remainder when 61 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -76 and -235219.\nAnswer: -235295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 668114409 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(567)*1 + -3 - (-1*1*sqrt(567) + -3)**2)*4.\nAnswer: -2316 - 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.183 and -3?\nAnswer: 0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 6. Let w = n - -2. Suppose 2*y - 146 = -4*i, 0 = -3*i + i + 2*y + 64. What is the highest common divisor of w and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/17 + 44208*d\/17 + 244293408\/17 = 0. Calculate d.\nAnswer: -11052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((176\/(-22))\/24)\/((-39)\/9).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(180) + 4 - (sqrt(120)\/sqrt(392))\/sqrt(3).\nAnswer: -43*sqrt(5)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 + 15*o + 1. List the prime factors of u(-11).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 7\/2, 5\/3, 4690 in descending order.\nAnswer: 4690, 7\/2, 5\/3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75481 = 5*t - 4*m, -5*m - 15071 = -308*t + 307*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {l: 1, n: 2, a: 3, x: 1, u: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 33*r - 178. Let n be c(7). What is the closest to -27 in -5, n, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 + 2*m - 2. Let q(l) = -46*l**2 + 11*l - 11. Calculate -2*q(t) + 11*x(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21469 - 1030643\/48. Find the common denominator of (-2)\/48*(-56)\/6 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328105, 1328099, 1328093?\nAnswer: 1328087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + r**2 + 1\/12*r**4 - 1\/40*r**6 - 1\/60*r**5 + 0*r**3 + 0*r. Factor b(c).\nAnswer: -c*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 19\/3. Let w = 708\/7 - 101. What is the second biggest value in 5, w, u, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:42 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45666250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -3.1. Let b = 6.75 - 7.25. What is the nearest to t in -4, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-108) + (-2)\/(-9). Let h(d) = -d**3 + 6*d**2 - d + 6. Let u be h(6). Are u and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 2*g + 3*g + (-27 + 4 + 3)*(2*g - 4 + 4).\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.139 + 0.248. Let q = -0.158 + i. Round q to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258531*d*y**3 - 4*d*y*z**3 - y**3*z**3 + 74*y**3*z - 3975*y*z**3 + 2*y with respect to d.\nAnswer: 258531*y**3 - 4*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/3))**(10\/13))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i + 12 - 16 + 13*i in the form g + r*i and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4, 9.6, -2, -166\/843?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*z - 558 + 2132 + 1781 = 246*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -764 - -1430. Suppose 3*i - 7*i + 1322 = -5*l, -2*i + j = -5*l. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - -2*sqrt(1728))*-1 + (sqrt(1728) + (sqrt(1728) - -1*sqrt(1728))*3 - sqrt(1728)))\/(-1*sqrt(48)\/sqrt(3)*-2).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 72. Let t be w(13). What is the greatest common factor of t and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(117))\/sqrt(3))\/((sqrt(27) + -4*sqrt(27))\/sqrt(9)))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(2\/(-6)). Let s(d) = 8*d**2 - d + 5. Let t(a) = a**2 + 1. Let j(x) = s(x) - 5*t(x). Give j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 8. Let a be k(5). Solve -4*m - a = -3*z, 3*z + m - 2*m - 9 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633679577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 111\/21 + (-2)\/7. Suppose -m*a + 13 + 17 = 0. Suppose 6 = 2*g - a. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {q: 1, a: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**2 + 28*q**3 - 46*q**3 - 2*q**2 wrt q?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2) - 595\/(-34). Suppose 4*d - 232 = 2*q, -2*q + s = -3*d + 192. What is the greatest common divisor of 42 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-169)\/13 - (0 + -1). Let q be (s\/12)\/(1\/4). Let t(n) = 2*n - 9. Let p be t(6). Sort p, 7, q, 4 in descending order.\nAnswer: 7, 4, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2516 = 2*u + 3*o, 4*u - 15*o - 5012 = -16*o. List the prime factors of u.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-4) - ((-56)\/504)\/((-6)\/(-27))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = -5*q, 0*d = 3*d - 3*q + 18. Sort d, 1, -10 in descending order.\nAnswer: 1, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -1\/6 (c) -2 (d) -169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/17*496791\/136374?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 44.89. Suppose -156 = 6*p - 45*p. Sort 1, p, -5, m.\nAnswer: -5, m, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 0. Let g = 7.1 - 7. Which is the closest to g? (a) -2\/7 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/165 and 97\/231.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 30235 - 15122 + 32*c**2 - 15112.\nAnswer: 31*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32297.8963 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -162 (b) 7 (c) 0.3 (d) -120\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1860 - -295. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {q: 1, b: 1, g: 2, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/1210? (a) -5 (b) 0.2 (c) -1\/6 (d) -4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**3 + 5*w**2 + 9*w - 2. Let f(j) = 10*j**3 - 7*j**2 - 13*j + 3. Suppose 6*c - 5*i - 8 = 2*c, -4*i = -16. What is c*s(z) + 5*f(z)?\nAnswer: z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27741*h + 400 - 1219 = -13885*h - 13869*h for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t**2 - t - 2. Suppose -5*s = -5 - 10. Suppose 4 = o + 1, -18 = s*c + 2*o. Let l be ((-2)\/(-4))\/(c\/48). Determine h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**5 - 3\/2*x**3 + 0*x**4 - 4\/105*x**7 + 0*x**6 + 9*x**2 + 0*x + 0. Differentiate t(j) wrt j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4564*y + 4572*y - 9136*y + 19*y**2 - 228 in the form l + f*y**2 + t*y and give l.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let n be g(-3). Suppose -n*z = -13 + 37. Let l(m) = m**3 + 10*m**2 + m - 10. List the prime factors of l(z).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xammath. What is prob of sequence xata?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 43472224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sevenths of a week?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7\/3, -1\/3, -5, 0, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10232 or 10231?\nAnswer: 10231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -61\/3. Which is greater: -5\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 1:46 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-4) - (-5)\/20. Let t = 70 + g. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.12 plus -0.26?\nAnswer: -29.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 0*p + 1685 - 4*p + p**3 - 1679.\nAnswer: p**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42312 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (6 - (10 - 6) - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34288 + 34291. What is the nearest to 233 in -1, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-18)\/(-144) - (-2)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23475 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 1345*k**6\/6 - 442*k**2 - 353. What is the second derivative of m(j) wrt j?\nAnswer: 26900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 6*o - 4. Let k be s(-5). Let r = 0 + k. Differentiate -r - w + 0*w + 2*w with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2496 - 2468. Calculate the lowest common multiple of r and -36*(1 + -2 + 0).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4316, -4586, -4856, -5126, -5396?\nAnswer: -5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22097974 divided by -58306\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 760220800 to the nearest 1000000.\nAnswer: 760000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssusssumsd. Give prob of sequence mmu.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 p when three letters picked without replacement from {y: 3, p: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Which is the second smallest value? (a) -2\/3 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*142*((-21)\/(-14) + -2). Let t = 762 + p. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0*b + 5*b - 10*b - 10 - 7*b. Let s be x(-16). Suppose 6*y - s = 388. What are the prime factors of y?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -17, -2\/19, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35694812 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 264.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12.29 (b) 0.5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 4*t = 7*t - 5*q + 15, -2*q - 63 = 24*t - 5*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8827438, 17654879, 26482320?\n\"Answer: 8827441*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 150 (c) -0.5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17432442, -17432438, -17432434, -17432430, -17432426?\nAnswer: -17432422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f - 189. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 10. Let s be x(7). Suppose -45 = -5*g - w, -3*g = s*w - 15 - 24. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdbckbibbbii. Give prob of sequence kbdi.\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/78047514 and -89\/36522?\nAnswer: 78047514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770 divided by -145?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2b15f (base 16) to base 7\nAnswer: 1333342","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 10. Let f be y(4). Suppose -f*s + 4*j + 24 = 0, -4*s + j + 20 = -0*s. What is the least common multiple of 1 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 47314012.\nAnswer: 1\/11828503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -j + 3*j + h, 4*j + 3*h - 572 = 0. Suppose -5*k = -j + 110. Let b(y) = 5*y**3 + 2*y**2 - 3*y + 15. Is b(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a7 (base 11) to base 12.\nAnswer: -1737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1150\/640 - ((40500\/80)\/(-25) + 22).\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 838 - 3329\/4. Factor 4*k + 10*k**2 + 0 + 3\/4*k**4 - x*k**3.\nAnswer: k*(k - 4)**2*(3*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*q + 4*a + 1, 5*a = -q + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8*o + 10*o + 4.\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*z + 8, 0 = -5*z - 13*h + 8*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82609.\nAnswer: 82609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0 + 73*w**2 + 1\/24*w**4 - 2\/3*w**3 + 0*w. Let t(h) = -2*h + 9. Give 3*t(c) + 5*u(c).\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*y + 20 = 0, -5*f + 13*y + 13 = 9*y. Factor 0*j + 8\/5*j**3 + 2\/5*j**f + 0 - 2*j**4 + 0*j**2.\nAnswer: 2*j**3*(j - 4)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/27 - 34\/(-6)) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c, 2*c + 10 = -5*f + 22. Let j(w) = -29*w**3 - 4*w - 52*w**3 - f*w + 5*w. Is j(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-15)*((-56)\/(-12))\/7\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**9*f)\/(f\/f**(-2\/43)) assuming f is positive.\nAnswer: f**(-346\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49\/4 + -449\/36. Let w(n) = n + 1. Let g be w(0). Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17 = m, -2*g + 2*m = -0*m + 4. Solve 12 = -g*z, 6*z = -c + 5*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + 34\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Suppose 0 = 3*m + 3*q, 4*m + 5*q = 2*m - 9. Let o(c) = 5*c - m*c - 22*c. Calculate z(o(l)).\nAnswer: 400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -93389\/15 smaller than -6226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - ((sqrt(15)*5 - sqrt(15)) + sqrt(15)))\/sqrt(3) - (2*sqrt(45))\/sqrt(9).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1403151216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:06 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/(-84) - 39946\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 28*l**2 + 96*l - 720.\nAnswer: -4*(l - 6)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2475\/(-1125))\/(3\/(-15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 - j**3\/6 + 2*j. Let y(o) = -107*o + 1390. Let d be y(13). Let c(w) = 2*w**2 + 5*w + 1. Give d*c(g) - 4*b(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 72*s**3 + 72*s**3 + 15*s - 2*s**2 - 2*s**4 to f + o*s**4 + h*s**2 + j*s + k*s**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -7 + 11 + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - 195. Let y = v - -199. Let b = y - -104.0043. What is b rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262137176 is divided by 52427432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -149 and -8621?\nAnswer: 1284529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2232 - 2232. Solve -3*x - 2 + 14 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 4*x**2 - 4*x - 3. Let u be l(-2). Suppose -2*g = u*j - 5, -2*g = 3*g + 3*j + 35. Let w = g - -15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) 5 (c) 12 (d) -2 (e) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b + 56. What is the smallest common multiple of 492 and a(-2)?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -942.2 take away 21579540?\nAnswer: -21580482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 75 = 246. Suppose 0 = -a - a + 3*b + m, 3*b = -3*a + 153. Suppose 5*i = 3*i + a. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.4. Let s = 3 - 10. Let n = 863 - 862. Sort n, v, s in increasing order.\nAnswer: s, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001328 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose -h + 3*u + 11 = i, u + 17 = -0*h + 2*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 2 - 1 - 3*o)*(-276*o + 40*o - 19*o)*(-5*o + 4*o + 2*o).\nAnswer: -510*o**3 - 255*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8087*d + 3477*d - 4724*d + 2612*d - 7863*d in the form y + k*d and give k.\nAnswer: -14585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6969112 and 32433?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/38025 and -43\/418275.\nAnswer: 418275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 2*h + 7. Calculate the remainder when j(4) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 6, -62 = -3*n - y. Let u be (n - 0)*(-22 + 26). Suppose o + 3*m = 16, 2*o - 4*m - 10 - 2 = 0. What is the highest common divisor of o and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 49*t + 20. Let s(y) = -97*y - 41. Let i(v) = 4*s(v) + 7*z(v). What is the derivative of i(d) wrt d?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let t(i) be the first derivative of -i**4\/8 - i**2 + 1. Let d(h) be the second derivative of t(h). Calculate k(d(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 42. Let o be 0 - 0*(-4)\/v. Suppose 2*q + 3*i - 141 = o, 3*q + 2*i = 8*q - 324. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.163074 millennia in centuries?\nAnswer: 31.63074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*b + 2. Let t = b + -5. What is the common denominator of -13\/10 and (2*5\/2)\/t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 8 (c) 108 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29316457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - d = -41, -10 = -2*t + 2*d - 2. Let n(y) = -y**2 + 17*y - 7. Let j be n(13). What is the greatest common factor of t and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n - 2*n + 2*n)*(0 - 1 + 3) - 3*n + 0*n + 2*n)*(-92*n + 137*n - 85*n).\nAnswer: 200*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**7\/2520 + o**6\/360 - o**4\/12 + o. Let n(y) be the third derivative of a(y). What is the second derivative of n(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 79 = -6*p + 88. What is the closest to -1 in p, -1\/3, 1\/3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/5, 1.4, -0.4, 0.2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -184366 divided by 7\nAnswer: -26338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 6. Let s = -7 - -12. Let r(y) = 1. Suppose x + 8 = 12. Suppose -d = a - 2, x*d - 5 = 3*a - 4*a. Give a*z(j) + s*r(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from skssssks.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 599.\nAnswer: -179.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17883 - 17895. What is the closest to -2\/9 in 0.2, g, -0.036?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55052, 110110, 165172, 220238, 275308, 330382, 385460?\nAnswer: 440542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25834, 25849, 25882, 25939, 26026, 26149, 26314, 26527?\nAnswer: 26794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.065958 - 0.025389. Round j to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131377*n**5 - 2*n**4 + 28*n**3 + 49718*n**2 + 1560?\nAnswer: -7882620*n**2 - 48*n + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.27 + 0.4.\nAnswer: -62.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, -4 in decreasing order.\nAnswer: 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = 5*z + 35, z = -2*v + 15. Suppose -50 = -4*n + 2*i, 3*i = i - v. Solve 5*p = 5*l + n, 5*l - 2*l - 2*p = -1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 3*q**2 - 2*q + 7. Calculate the remainder when 63 is divided by j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 28, 17, 3.\nAnswer: -3, 3, 5, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033080*i**2 + 16*i**3 - 1033080*i**2.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 263 = 4*b + 318, 0 = -3*v + 3 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:01 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*5)\/(-5*sqrt(20)\/sqrt(4)))\/(-1*sqrt(98)*4*-1).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, -0.1, 2, -1\/8, -449?\nAnswer: -449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38550 or 38514?\nAnswer: 38550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 17*t**2\/2 + 76*t + 2727. Give o(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241786731 to the power of 1\/2, to the nearest integer?\nAnswer: 35239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**2 + 358*x - 1. Let a(y) = 773*y**2. Give z(a(w)).\nAnswer: 6572819*w**4 + 276734*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3360)\/(-50)*(-315)\/(-36). Is o less than 588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 696, 713, 732, 753, 776, 801?\n\"Answer: r**2 + 14*r + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10576 - 11757. Which is the second biggest value? (a) 3 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4 + 56. Let f = l + 23. What is the third derivative of 2*c**3 + c**3 + 3*c**2 + 6*c**2 + 3*c**f wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-90) - -4*(-2)\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 + n + 1. Let l be s(-1). Suppose 0 = -3*h + k + 46, l = -2*h - 2*h + 5*k + 65. Calculate the greatest common factor of 60 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -10, -2, 20, 62, 130, 230?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -28, -329, -2282, -0.5, 3\/4?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 82*k. Let z(r) = -44*r**2. What is l(z(u))?\nAnswer: -5808*u**4 - 3608*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.4 + 11. Suppose -3*o + 8 = -2*h + h, -3*o = -5*h - 28. Suppose -o = -4*g + 3. Which is the nearest to g? (a) 4 (b) x (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1870 - -1259. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 12*c**2 + 23*c + 12. Is m(-15) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let h = 24.7 - 25. Let x = -0.1 - -0.2. What is the nearest to q in x, -0.2, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o - 390 = -49*o - 45*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*f + 40 = 42, 0 = 2*p + 3*f - 10. Solve 3*s + 4*g + 11 = 0, -p*s + 0*g = 5*g + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 - -3082\/15. What is the common denominator of l and -35\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5600 from -5071.647.\nAnswer: -10671.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 - (12 + (-30 - -13) + -37)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnnn when four letters picked without replacement from {m: 4, n: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-11)*-1*3*4\/(-90)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -79*t**5\/20 - t**2 + 93*t. Let q(d) = 2*d. Calculate v(q(h)).\nAnswer: -948*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8132 - 8132.2. What is the nearest to z in 2, -5, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:42 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 345 and 345 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 12) to base 11.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*v = -55*v - 4*d - 12, -5*v - 5*d - 40 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6*2\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3712 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-518)*211\/211.\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 180 = 7*a. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4*1 - 281490\/(-88). Let x = r - 731. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195 - 132. Let g = u + -25. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.27, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000001 (base 3) to base 12.\nAnswer: -396a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 37*n**2 + 2*n + 1. Let v be i(-1). Suppose f = -3*f + v. Let k be (310\/(-186))\/(5\/6). Sort 2, k, f in decreasing order.\nAnswer: f, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1184\/41 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.9999825 + -57. What is g rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4681, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4361984369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -4*b**2 + 3. Let u(j) = -j. Determine u(w(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -352 + -233833?\nAnswer: -234185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.6 - -3.4. Let c = w - 10. Let z = c - 7.00008. What is z rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1623694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 2, u: 1, n: 1, l: 1, m: 1}. Give prob of sequence mna.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10057*j**2 + 5*j - 6*j + j - 2*j - 10055*j**2.\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**3\/4 + 207*p**2\/2 + 12933*p\/4 + 17577\/2 = 0.\nAnswer: -93, -42, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*t - 2*t + 95, -4*q + 130 = -2*t. Solve 6*j + 12 = 3*j + k, 5*k - q = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237726859?\nAnswer: 3, 1123, 664211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + sqrt(200) + sqrt(200)*-2 - sqrt(200))*-1 - sqrt(200))\/sqrt(5))\/(sqrt(48)\/((sqrt(84)\/sqrt(2))\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**(-8\/11)*k**(1\/5)*k\/(k\/k**0))**44)**34 assuming k is positive.\nAnswer: k**(1496\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 1\/4 (c) 3\/38 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952 and 147.\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*y - 100. Let b(p) = -p**2 + 16*p + 25. Determine b(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose g - m = x, x = -3*g + g + 6. Is 163\/(g\/((-9)\/(-3))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*(-12)\/7*((-6174)\/(-900))\/(-7)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1064477, -1065305, -1066685, -1068617, -1071101, -1074137?\nAnswer: -1077725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 4*x - 45*x + 16*x - 2*x + 13*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**2 - 11*k - 3. Let q(j) = 7*j**2 - 10*j - 2. Let p be (-2)\/4 + (-13)\/(-2). Let f(m) = p*l(m) - 7*q(m). Suppose f(n) = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16 + 44 - 17) + -7. Solve 49*a + v*a + 159 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/9 - 1762*i\/9 - 776161\/9.\nAnswer: -(i + 881)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -38563.418997?\nAnswer: 38563.318997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -o - 0*c + 2*c, 3*o - 208 = c. Let h = o - -115. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -a + 13, -3*a + 1771 = k + 1765 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 17923*a\/4 - 31353.\nAnswer: -(a + 7)*(a + 17916)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 2*z**3 - 18*z**3 - z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3966264 divided by 18\nAnswer: -220348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -278, -471, -664, -857, -1050?\n\"Answer: -193*w + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16*s**2 - 4*s + 4*s. Let d(i) = 2*i**2 + 3*i - 3. Let l(j) = 5*j**2 + 8*j - 8. Let t(a) = 8*d(a) - 3*l(a). Determine t(o(w)).\nAnswer: 256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -38. Put -0.07, -0.2, 0, k in increasing order.\nAnswer: k, -0.2, -0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2. Let c(u) = -11*u + 29*u - 13*u. Calculate b(c(f)).\nAnswer: -125*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 - 1685*j**2 + 658*j - 99793. Give h(421).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and -2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x*x**(9\/4)))*x\/(x**(-1\/36)*x))\/((x\/(x\/(x*x**(1\/9))))\/(x**33\/x)))**(-21) assuming x is positive.\nAnswer: x**(-1519\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3963 is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -249\/7*a**4 + 150\/7*a**3 - 1272\/7*a - 96\/7 + 6*a**5 + 1020\/7*a**2 = 0.\nAnswer: -2, -1\/14, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v**(-7\/2)\/v*v\/v**(5\/2)*v*v*v*v\/(v*v\/v**(1\/3)*v*v)*v)**(-23\/4) assuming v is positive.\nAnswer: v**(1219\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -0*l. Let v(h) = h**3 - 2*h**2 + 5*h - 3. Let x be v(l). Calculate the highest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 14*d + 8. Determine u(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12304*m + 2 + 11200*m - 2 to the form i*m + y and give i.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*y + 4 + 6, 0 = -3*y + p - 15. Let r = -4185 - -4184.9. Which is the second smallest value? (a) r (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386517903.\nAnswer: 7, 11, 997, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(405) + 5 + (sqrt(405) - (-2*sqrt(405) - sqrt(405)))*-3)**2.\nAnswer: -103705 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*p*q*x**3 + 1731*a**3*q**3 - 2*a**3*q**2*x**2 - 69*a**2*p*q**2 - 18*a**2*q**2*x - 15*a**2*q + 6*a**2 + 596*p*q**3*x**3 wrt q.\nAnswer: 10386*a**3 + 3576*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2054531 days?\nAnswer: 17751147.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 292, 52, -502, -1496, -3056, -5308, -8378?\n\"Answer: -21*l**3 - 31*l**2 + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*g**2 + 1207458\/5 + 3108\/5*g = 0. Calculate g.\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3100, 3330, 3582, 3856, 4152?\nAnswer: 4470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2352 and 2940.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -26, -100, -216, -374?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, and 1 j when three letters picked without replacement from {j: 3, b: 4, r: 6}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*c - 209 = -0*h, 0 = 5*h - 3*c - 323. Calculate the remainder when h is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 9:51 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Let u(p) = -p**2 - 48*p - 324. Let i be u(-9). Calculate the greatest common factor of y and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**2 + 20*f - 21. Let j(b) = -10*b**2 - 21*b + 22. Let k(w) = -3*j(w) - 2*z(w). What are the prime factors of k(9)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*s + 2 = 0, -l - 3*s + 3 = -5*l. Suppose -7 = -4*z + 3*z. Let i(g) = z - 1 + 0 + g**2 - g. Determine i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11980 (base 12) to base 3\nAnswer: -1012201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -6\/13 (c) 5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {b: 2, l: 5, z: 5, r: 1, e: 5}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 23*t - 15. Let y be z(6). What are the prime factors of (3 - y\/9)*(-15 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4 and -13\/11883952?\nAnswer: 11883952","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.7 (b) 1\/2 (c) -0.2 (d) 1.5 (e) -2\/11 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 192*h. Let j(y) = -2*y. Calculate x(j(w)).\nAnswer: -384*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 + o - 6. Let c be j(4). Let u be (-4)\/(3 + (c - 3)). Suppose -4*z = -3*l + 2853, -132 = u*l - 5*z - 2027. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 31. Solve 0 = o + 3*l - l + z, 0 = -4*o + 4*l + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.034153 rounded to 3 decimal places?\nAnswer: 3.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 + 30*k**4 + 55*k**3 + 10*k**2 - 60*k - 40.\nAnswer: 5*(k - 1)*(k + 1)*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268190.\nAnswer: 2, 5, 13, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n + 21*n**3 + 5*n + 11*n + 11*n - 14*n + 8*n.\nAnswer: 21*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 3:19 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1349 = -62*r + 697 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) -177 (c) -14 (d) -0.1 (e) 0.3 (f) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06712 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -1246, -1867, -2488?\nAnswer: -3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3740 + -3738. Solve -2\/7*g**3 + 0 + 2\/7*g**4 + 2\/21*g**k + 0*g - 2\/21*g**5 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-6786)\/396 - 58587\/(-1298).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 11 - 26 + 0 + 4 to the form i*u**2 + o + w*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-3)\/102). Find the common denominator of (d\/7)\/((-36)\/(-14)) and (48\/27)\/(12\/(-72)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vck when three letters picked without replacement from vvkvvcckvccvccv.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3741284 and 3.\nAnswer: 1.1223852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x + 8. Let a(f) = 3*f**2 - 4*f + 33. Let p(z) = -2*a(z) + 9*t(z). What are the prime factors of p(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {j: 6, s: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7940.744 to the nearest 100.\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1 + 6*z**2 + 2 + 6*z + 0*z**2 - 5*z**2. What is m(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or -1.52?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - (-57)\/(-6))*(-12)\/1. Let 0*p**3 - 102*p + 6*p**4 - g*p**2 + 2*p**5 + 98*p + 2*p**3 = 0. Calculate p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21*c**2 + 426*c + 427. Give s(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18939 - -255920. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 625.139*-267\nAnswer: -166912.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - 12*q - 18. What is the remainder when d(6) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 38. Let j be r(-17). Let o = -1.28 - -0.28. What is the closest to 0.17 in -2\/3, o, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73404.\nAnswer: 2, 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3394.64109 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(2\/9)*f*f)\/f))**21)**(4\/5) assuming f is positive.\nAnswer: f**(-308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-6 + 6)\/(-6). Suppose -r = -2*y + 566, -j*y + 132 = -4*r - 446. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2750.675 millennia to months.\nAnswer: 33008100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g + 4. What are the prime factors of u(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a (base 12) to base 13.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11253664 - -0.01.\nAnswer: 11253664.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let n be (-1)\/(2\/10)*r. What is the smallest common multiple of 12 and ((-44)\/n)\/(1\/5)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.7 + -14. Let q = k + 7. Let n = 20\/7 - 114\/35. What is the closest to n in 4\/7, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606467993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:57 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(-7 + 2 - 5)*(4 - 8 + 20)*(-q**3 + 0*q**2 + 0*q**2) to the form y*q + n + s*q**2 + b*q**3 and give b.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -6 - (2 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 242*r**2 + 485*r - 1202. What is j(240)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*r + 27 - 6 - 8 - 9 - 12 as l*r + s and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2816)*1)\/((-1*sqrt(100) - sqrt(100)) + sqrt(4)).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3231.7130658 and 50220.\nAnswer: 46988.2869342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1767, -1905, -2053, -2217, -2403?\n\"Answer: -a**3 + a**2 - 134*a - 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313247 + 44*q**3 + 313247.\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**5 + 4*y**3 - 4*y**2 + 4. Let s(w) = -2*w**5 + 5*w**3 - 5*w**2 - w + 5. Let a(o) = 5*j(o) - 4*s(o). What is the second derivative of a(m) wrt m?\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -5*l**3\/2 + 9*l**2 + 66*l + 1446. Factor x(u).\nAnswer: -3*(u + 2)*(5*u - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 a when three letters picked without replacement from jajqajqjqjjajqqe?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51835*h**4*q**2 - 4*h**4*q + 4*h**4 - h**2*q**2 - h**2*q - 1230*h + 4*q**2 + 122*q wrt h?\nAnswer: 1244040*h*q**2 - 96*h*q + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -39*c**4\/8 - c**3\/3 - 1366*c**2. Let q(b) = 2*b. Determine v(q(m)).\nAnswer: -234*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 26*u**2 - 8*u + 5. Let l(w) = w - 1. Determine 4*l(d) + q(d).\nAnswer: 26*d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 229553948 divided by 1072682?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, 15, 17, -64 in increasing order.\nAnswer: -259, -64, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 11 = 4*c, 0 = -2*q + 70*c - 66*c + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -0.059747?\nAnswer: -0.059747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.269934 millimeters?\nAnswer: 0.4269934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1156037597 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294691228?\nAnswer: 2, 13, 599, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + -0.41. Which is the nearest to f? (a) -0.5 (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -15*j + 16*j. Let f = -5 - j. Let d be (-3 - f) + (-14)\/6. What is the second smallest value in -1\/4, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.769 and 510318924.\nAnswer: 510318924.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -188111 (base 11) to base 13.\nAnswer: -a16a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 87280?\nAnswer: 261840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9395 + -9318. Calculate the greatest common divisor of 9317 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76515715, -76515720, -76515725, -76515730, -76515735?\nAnswer: -76515740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1878 plus -542739168?\nAnswer: -542739167.8122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100310 + -331132131?\nAnswer: -331233101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/1934 - -52696\/10637. Calculate the common denominator of c and 63\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 6 + 26, m - 4 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34765698*x - 510578232 wrt x?\nAnswer: -34765698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -6290*t + 6289*t - 14, 2*t = g - 28 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -2, 4, -1439 in descending order.\nAnswer: 4, 1, -2, -10, -1439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 513, 1993, 4457, 7905, 12337, 17753, 24153?\n\"Answer: 492*c**2 + 4*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000784791615 to seven decimal places.\nAnswer: 0.0007848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438*w**3*x**2 - 574187*w**3 + w**2*x + w*x - 8*x**3 - 2037*x**2 wrt x.\nAnswer: 876*w**3 - 48*x - 4074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774 and 37109?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2332113 (base 4) to base 14\nAnswer: -4623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79\/3 + -26. Let j = -1073.2 + 1073. Let g = -0.2 + 0.2. Which is the closest to g? (a) j (b) -0.02 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/9 or 7?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -9. What is the smallest value in 0, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2 + 0 + 1. Sort c, -4, -3.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -297*s**2 + 297*s**2 - 8*s**3 - 11*s**3 + 12 - 12 + (-11*s - 2 + 2)*(0*s + 0*s - 2*s**2) in the form b*s**3 + y*s + r + t*s**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 293*v - 50. What are the prime factors of j(3)?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 1. What is m(9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302564691.\nAnswer: 3, 11, 13, 17, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5789.189 millilitres in litres?\nAnswer: 5.789189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 2*p + 4. Let l be u(3). Let y = -0.6 - -0.7. Let s = -0.5 + y. What is the biggest value in s, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3156844464 to the nearest one hundred thousand.\nAnswer: 3156800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 - -241. Suppose 3*m - 7*m = -2*p - l, -4*p + 12 = 0. Calculate the common denominator of m and -50\/161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*-5 + sqrt(117))\/(sqrt(72)\/sqrt(128) + sqrt(9)).\nAnswer: 24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**2 - 31*k - 31. Let q be o(8). Suppose 7 = 3*b + 2*f, 2*b + q = -2*f + 5. Sort -10, b, -2 in ascending order.\nAnswer: -10, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1241 or 1245?\nAnswer: 1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2 + k. Suppose -2*r + 2 + 0 = 0. What is the units digit of v(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0 - (sqrt(162))**2) + 3.\nAnswer: -159 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287 or 3?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34\/(-4)*(-2 - 2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/633488 and -37\/4624?\nAnswer: 633488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(19) - (sqrt(475)*2)**2) + 5.\nAnswer: -1895 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 161*w - 3762. Give k(20).\nAnswer: 1058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248\/(-1148) + (8\/35)\/(4\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 + a - 2. Let m be s(4). Suppose q = -5*j - 14, -2*q + 17 = -m*j - 3*j. Let c be (1 - 3)\/(39\/3). Is q at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8199.5 - 11707. What is i rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4624 + -4620. What is the biggest value in -3, t, -0.04, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + v + 8 = 0, -115*y + 110*y = -4*v - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 4, y: 2}. Give prob of sequence uu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 13 + 2 + 24 + -19 + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*u + 3*h - 2, u = -3*h - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m**2 - 2*m**4 + 2 + 4\/3*m**3 - 2*m - 2\/5*m**5 + 2\/3*m**6. Determine h, given that s(h) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306 + -174. Suppose 0 = 4*s + 168 + t. Let a = -53 - s. What is the remainder when 58 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 12. Suppose -48 = -96*y + 88*y. Give r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*v = 88*v + 34*v + 5130 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ecd - 4bc?\nAnswer: -1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1044836\/38766 - (128\/(-14))\/(-4).\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*w + 4*w = 10, 0 = -3*d - 4*w + 14. Find the third derivative of 4*m**3 + 2*m**3 - 4*m**2 - d*m**3 wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q + 180. Let f be (1\/3)\/((-5)\/q). Let 3*g**f + 10 - 4*g + g - 6*g**2 - 4 = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h - 3*b, -12 = -h + b + b. Let k be (-4)\/8*56\/(-10). Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/945 - h**6\/540 - 7*h**5\/270 + h**4\/108 + 2*h**3\/9 - 3*h**2 + 124. Suppose m(q) = 0. What is q?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.064 - 0.064. Let q = b + -34.065. Let o = -0.17 - q. What is o rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 24*z + 24. Let t be d(25). Let b(q) = -25*q**3 - 4*q**2 - q + 1. Calculate the remainder when b(t) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = f + 6, -9 = f + 36315*b - 36311*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -295768\/23 and -12860 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**6\/540 + 2*k**5\/45 + k**4\/4 + 27*k**3 - 91. Let i(y) be the third derivative of n(y). Factor i(f).\nAnswer: -2*(f - 9)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -424631*i**2 - 543*i - 255?\nAnswer: -849262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11944 - -11947. Let y(j) = 31*j + 4. Let w(q) = -31*q - 5. Calculate p*y(u) + 2*w(u).\nAnswer: 31*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*j - 15 = -37, 0 = 5*x - 3*j. Solve 0 = x*q + 4*y - 3, 5*q + 3*y = 3*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002433 rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2780811*g**3*k + 2*g**2*k - 9*g + 26*k + 1234 wrt g.\nAnswer: 16684866*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 4*f**3\/3 - 4*f**2 + 4*f + 8. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105902 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -36*u + 15*u + 12*u + 1. List the prime factors of q(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -2 (c) 1.284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17044?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212013 + 10?\nAnswer: 1212023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + 7 - 7)*(n**2 + 2*n**2 - 8*n**2)*(-32 + 1 - 4).\nAnswer: 1750*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1505751 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f - 288. Let b be u(-24). Solve -3*y + 2*h + h = -21, -3*y - 5*h - 19 = b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 5*n + 8. What is w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 83877 - 464846 = -4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-10)\/(-8))*(-4)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let d = 48 + -50. Is d at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 9 (b) -1 (c) -3\/4 (d) 3 (e) 690144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7968236 to 2 dps.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/7*(-28)\/(-6). Suppose d*n = 3*r - 3, n = r + r - 2. Solve -4*m = -k - 16, n = -5*m + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639960 is divided by 639901.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 0*x**3 - 22 + 839*x**2 - 3*x**3 + 236*x - 236*x as u*x**3 + p*x + y*x**2 + l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5\/g)\/(g\/(((g\/(g**(-6)\/g))\/g)\/g)))\/(g**(-2)*g*g\/(g**(-1)\/g)*g) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 - 24*z**2 + 213*z + 1588. Calculate b(-9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100820898 - 1619*x**2 - 2*x**3 + 100820898 + 3*x)*(-x + 3*x - 3*x) to p + h*x + f*x**4 + w*x**2 + z*x**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -28*g**3 - 3*g**2 - 8*g - 6. Let i be b(-3). Round i to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 9*m + 8. What is k(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.428 - -0.38. Let m = -0.228 - v. Let k = m - 0.12. Is 3\/4 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 - 2*g**2 + 2*g - 2. Is j(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 0, 5*i - 5*d + d - 103462 = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**3 - 18*s**2 + 108*s - 87. What is t(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 2*l + 1. Suppose 0 = 22*h - 19*h. Give a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 5\/9*s**3 - 1\/90*s**5 - 1\/9*s**4 + 0*s + 0 - 12*s**2. Factor v(f).\nAnswer: -2*(f - 1)*(f + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9804 and 0.133.\nAnswer: 1303.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419\/2 or -209?\nAnswer: -419\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by 92.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t - 619 = -355 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t**2 + 15 - 9 - 6 to v*t + u + x*t**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -39) + (2 - (15 + (0 - -1))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**4 + 29*t**2 - 6*t - 2. Let h(b) = b. Let z(q) = -6*h(q) - o(q). Find the third derivative of z(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:44 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 22?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 615 and 103197.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003799.07 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3 - ((-3 - 0) + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 5 + 7 + -1 - 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -3*a + 3*o, 2*a = -5*o + 17. Find the third derivative of 29*b**2 - 2*b**a - 21*b**2 + 6*b**6 wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-8)*(8 - (104\/40 - -5)). Which is the closest to 1? (a) 0.06 (b) u (c) 5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2148 and -7.72?\nAnswer: -16582.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -7647777730\nAnswer: 7647777729.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150776 and 2466952.\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 5 + 3 - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 29 - 20. Let x be 18\/(-15)*(-30)\/k. Solve x*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012743 rounded to four decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -19*z + 4. Let v be c(0). What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one quarters of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 3823 in increasing order.\nAnswer: -1, 6, 3823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13201 (base 5) to base 13\nAnswer: -62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 10*r + 3. Let a be d(10). Let g be (2 - 8)*(-8 - -6). Let z be 3\/(-2)*(-40)\/g. Solve -a*p + z = -2*n + 2*p, 0 = -n + 5*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7240*m - 1143*m - 1086*m - 2675*m - m + m + 2*m + (m + m - m)*(2 - 4 + 1) - 2 + m + 2.\nAnswer: -12142*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460049 and 892?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, 23, 81, 105, 65, -69, -327, -739?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4694.27 - -4694. Let x = -0.2 - -0.37. Let g = w + x. Which is the closest to g? (a) -0.2 (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 42. Let k(n) = -2*n - 3. Suppose 0 = -9*w + 52 - 106. Let t(y) = 3 - y + 7*y - 4*y. What is w*k(o) + x*t(o)?\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2504599 - 2504599 + 20*j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 300, 37, -101.4 in descending order.\nAnswer: 300, 37, -101.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749*g**4*q + 2*g**2*q - g + 113*q wrt g?\nAnswer: 17976*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3 - 241*r**2 - 43*r - 120. Let i be p(-40). Sort -6, -1, -3, i, 2 in ascending order.\nAnswer: -6, -3, -1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 310, 415, 500, 559, 586, 575?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74241628 to four dps.\nAnswer: 0.7424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 10809548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/((d\/(d*d*(d*d**4*d)\/d))\/d))\/d*d*d**(2\/29))**(4\/7) assuming d is positive.\nAnswer: d**(1052\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -0.4 (b) 0.1 (c) 1\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i**3 - 2*i**2 + i - 4. Let k be l(-4). What is k rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2493*y**2 + 2496*y**2 + 2492*y**2 + 2494*y**2 - 12407*y**2 + 2430*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:12 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 56*g**2 - g - 38. Let u be z(-56). Solve 4*h + u = -2*m, -5*h + 0*m - 2*m = 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2. Let h(z) be the second derivative of -z**3 - 7*z**2\/2 - 2*z + 2. What is p(h(w))?\nAnswer: -72*w**2 - 168*w - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 + l + 2. Let h be g(-1). What is the first derivative of -43 + 6*n**4 + 18 + 2*n**h - 21 wrt n?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiifviiiviffiigggi. Give prob of sequence vg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) + sqrt(27)) + sqrt(160)\/sqrt(2).\nAnswer: 17*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 617 = 683 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31 and -638.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31016747 - -220.2\nAnswer: -31016526.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*h - 0*f + 8, -f = 3*h - 22. Solve p - 3*a + 11 = -8, p = -2*a + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 42, -1 in descending order.\nAnswer: 42, 40, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7634282 nanometers to meters.\nAnswer: 0.0000000007634282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -673766, -4\/3, -0.3 in ascending order.\nAnswer: -673766, -4\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006220938 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 46, 753, 1\/13, 0, -2\/7?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 5:58 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 10) to base 15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12120)\/(-18180)*2*2\/(-2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/15 + 385028*f\/15 + 898366\/5 = 0.\nAnswer: -192507, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 32*l**2 + l + 20*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17 + -14 + (61\/1)\/1. Solve -k*i - 94*i**2 + 13016 - 12976 + 6*i**3 + 4*i**3 = 0 for i.\nAnswer: -1, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 15*z**2 - 22*z - 28. Determine y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41419 is divided by 134?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29897*u = 29310*u - 35807 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1030*z + 4 + z**2 - 1025*z - 5 - 4. Let a(u) = -u**2 + 10*u - 4. Let l be a(4). Suppose 3*i + l = -i. Give q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - -6.4. Let n = 9.1 - f. Round n to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7262200 (base 8) in base 12?\nAnswer: -78a8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3 - 25bc8?\nAnswer: -25b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*d - 31 = 0, -2*d + 6*d + 6 = 2*r. Let c be (r - -3) + 4*1. Is c + 2 + (-6)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 16*s + 10. Calculate v(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17461589 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: Expand -4*i**3 - 5*i + 5*i + (i + 0*i + 0*i)*(-2*i**2 - 2*i + 2*i) + 115*i**3 + 98*i**3 - 205*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 3, b: 2, o: 2, g: 1, k: 3}. What is prob of picking 2 b and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 + 718 + 1 - (-2)\/(-12)*0 is divided by 188?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/38 and -42\/5.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by ((-15)\/9)\/((-120)\/576).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 13*d**2 - 5*d**2 + (d - 3*d + d)*(2 + d - 2).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 873 - 870. Suppose 0 = z*c + 2*f - 182, -c = f - 39 - 20. Calculate the greatest common divisor of c and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 - 2*a + 4. Suppose 30*k + 9 = 33*k. Determine b(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w**16\/w*w*w)\/w*w\/w**(-2\/7))\/(w**(1\/5)\/w*w)**35)**(24\/5) assuming w is positive.\nAnswer: w**(2232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 - 5*u - 9. Let g(k) = -3 + k**3 + 6*k**2 - 309*k + 316*k + 9. Let f be g(-5). What is o(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1440.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456536275.\nAnswer: 5, 13, 17, 19, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*w**2 + 219*w**2 + 76*w**2 + 5379 - 380*w**2 - w + 10414*w**3 wrt w.\nAnswer: 62484*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 12 = 0. Suppose r - j = -2*r. Suppose -n + 0*n - 4*u + 22 = 0, u = -r*n + 9. Solve 0 = -2*m + n*f - 0*f + 2, m - 7 = 3*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 31)*(-5 + 6 + 3)*(0*r - r + 3*r).\nAnswer: -168*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 6*z - 29)*(-1 + 1 + 2*z + (-4 + 4 - z)*(2 + 1 - 4) - 2 - 2*z + 2 - z - z + 0*z - 3*z + z + z - z + 2*z - 5*z + (-1 - 2*z + 1)*(-3 - 2 - 9)).\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-292)\/(-98) - 989\/(-48461). Factor 0*z + 0*z**v - 2\/3*z**5 + 0 + 2\/3*z**4 + 0*z**2.\nAnswer: -2*z**4*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1097707 and 16711.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 43 + -9 + 28 + -14\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:45 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -143. What is the units digit of 182*-3*l*(-5)\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17+-9.8\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*i**4 - 27*i**4 + 19*i**4 + 195 - 2*i**3 + 100*i**4 - 121 to the form s*i + w*i**4 + j*i**3 + o*i**2 + c and give c.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17726*y**3 + 8866*y**3 + 8873*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1100750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 29*y + 15. What is the tens digit of w(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t - 5 + 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/7 + 4210*i\/7 - 113700 = 0. What is i?\nAnswer: 210, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {i: 2, v: 2, m: 2, y: 8, n: 1, b: 4}?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315645295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10851 - 1462 = -957*a - 13579 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -21*(0 + -6 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 4*w - 8. What is the remainder when l(4) is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -54082*o + 486475. Give c(9).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28912382*o - 1172440977 with respect to o.\nAnswer: 28912382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6178896 divided by 42909.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4\/3 - 328*p**3\/3 + 2812*p**2 - 20064*p - 52272 = 0 for p.\nAnswer: -2, 18, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 6*h + 602*h**2 - 601*h**2 - 2*h + 8*h.\nAnswer: h**2 + 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -38\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (452 - 454) + 2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4507589*s**2*x + 155953*s*x + 2*x wrt s.\nAnswer: 9015178*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 + q + 1. Let y be (-10)\/(-8) - 2\/8. Suppose 0*r + 7 = -5*l - 2*r, 4*l - 3*r + y = 0. Let c(h) = -h**2 + h + 1. Determine l*n(u) + c(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y**2 - 279*y + 24. What is k(20)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -105. Solve m*v - x - 8 = 0, 2*v - 3*x - 22 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.05 - 0.05. Suppose -160 = 43*i - 31. Let o = -2 - -2. Which is the biggest value? (a) i (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/8 - -5\/8. Let r = -4.04 - -0.04. What is the nearest to -1\/3 in r, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87, -488, -1589, -3744, -7307?\n\"Answer: -59*f**3 + 4*f**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-5))\/((-42)\/(-105)). Let l(u) = 2*u**2 + 5*u. Let j(c) = c**2 + c. Calculate k*j(g) + l(g).\nAnswer: -4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkbklkklr. What is prob of picking 3 l?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47804, -47837, -47872, -47909, -47948?\n\"Answer: -b**2 - 30*b - 47773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1977*u + 3*v = -1975*u - 13, -5*v - 17 = -u. Let r(d) = -d - 6. Let j(i) = -i**2 + i + 1. Let m(c) = -2*j(c) - r(c). What is m(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3355504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -58. Suppose b + 4 = s, q + 4*b + 264 = -3*q. Let z = q - -311\/5. What is the nearest to z in -1, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*h + 5*d, 3*h = 8*h + d - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50187 = -3*w + 5*l, -4*l + 28235 = 3*w - 21952. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 41498 = 2*x + 41510. Sort 2\/13, -4\/7, -1, x, -13 in decreasing order.\nAnswer: 2\/13, -4\/7, -1, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9567966 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28772, 57498, 86238, 114998, 143784, 172602, 201458, 230358?\n\"Answer: y**3 + y**2 + 28716*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 329, -319, 47 in decreasing order.\nAnswer: 329, 47, 1, -3, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5667 - -8942. Suppose -11*k - z + 10194 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**5\/z)\/(z**(-1)*z))\/((z**(-2\/3)*z)\/(z\/(z**(2\/19)*z))))\/((z*z**(-2\/7)*z*z)**(-5\/2)\/(z**(1\/3)*(z**(1\/6)*z)\/z)) assuming z is positive.\nAnswer: z**(4328\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -3.4. Let n = u + 0.2903. Round n to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06301692304 rounded to six dps?\nAnswer: 0.063017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14203241 (base 6) to base 9\nAnswer: 815317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -81.04. Let k = p - -0.04. Let u = -8 + 8.3. Which is the nearest to 0? (a) k (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Suppose -2*k - 3*k + 100 = 0. Let p(c) = 2*c + 1. Let v be p(2). Solve z - v*z - k = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c3 (base 13) to base 14.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 2*v**2 + 0*v**2 + (-v + 4*v + v)*(v + 3*v - 2*v) + 3*v**2 + 13*v**2 - 6*v**2.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11707\/9 + -1298. What is the common denominator of 67\/92 and u?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 78. Which is the closest to t? (a) 0.5 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*x = 10563. Let p = -739 - x. List the prime factors of p.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8*h + 1 - 2*h)*(0*h**4 - 3*h**4 + 6*h**4).\nAnswer: -30*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15039 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 5:27 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 2*b**2 + 1. Let y(c) = c - 4. Let h be y(2). Suppose 8 = -4*k + 48. Calculate the least common multiple of k and j(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -19*h**4 + 6*h**3 - 47*h**2 - 43*h + 59. Let g(o) = 7*o**4 - 2*o**3 + 16*o**2 + 14*o - 19. Let n(p) = -4*c(p) - 11*g(p). Factor n(d).\nAnswer: -(d - 3)*(d - 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from eugueeuueeeee.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(243) - -1*sqrt(243)*6 - sqrt(243)) + (sqrt(243) + -2*(sqrt(243) + -2 + sqrt(243)))*-1)**2.\nAnswer: -648*sqrt(3) + 19699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.5 (b) -10 (c) -0.06 (d) -4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 570000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 14*n - 69. Is p(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12937 + -8021. Let m = 79 + -63. Is v\/m - 1\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1904, -1914, -1924?\n\"Answer: -10*v - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 40 = 4*h. Suppose 2*t - h = 2. Sort -4, 0, t in increasing order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*l**3*s**2 - 1112*a*l**3*s - a*l**3 + 4879*a*l**2*s**2 + 10*a*l**2 wrt s.\nAnswer: 2*a*l**3 + 9758*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 2*o + 153. What is l(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14 = 3*q - 5*v, 3*q + 5*v = -16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14200 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3403411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*f = f - 38, -f = -2. Suppose z = 4*z - i. Suppose -4*k + z*b + 138 = 0, -2*b - b = 9. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:14 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-35))\/((-2)\/4*-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -739 (b) 0 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -134437037 times 1\nAnswer: -134437037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 2*z + 16 = 0, 0 = 2*g - 2*z - 12. Let w = -2 + 4. Solve -5*r = g*m - 5, 5*m + w*r + 12 = -3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-4\/11)\/(f**(-4)\/f**(-15)) assuming f is positive.\nAnswer: f**(-355\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 30 - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*y**2 + 0 - 59\/8*y.\nAnswer: -y*(y + 59)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63472590 divided by -145.\nAnswer: 437742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2236, -2266, -2304, -2350?\n\"Answer: -4*n**2 - 18*n - 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 11*y + 4. Let l be q(-16). Let z(m) = -m**3 + 14*m**2 - 5*m + 1. Let k be z(9). Is k\/l*(-117 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8953 + 8955. Let y(v) be the first derivative of -17*v - 7 + 0*v**w + 0*v**3 + 11\/4*v**4. Find the first derivative of y(j) wrt j.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239101 is divided by 261.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 26*v**2 - 37*v + 4. Let o(h) = h**2 + 2*h + 2. Let i(b) = 6*o(b) - 3*w(b). Find the second derivative of i(c) wrt c.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32.7? (a) 2 (b) -1\/6 (c) 2\/5 (d) 1\/5 (e) -5 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 5*o + 4. Suppose -s + 6*s + 30 = 0. Find the common denominator of x(s) and -1 + ((-6)\/(-9) - (-2247)\/882).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193 - -581\/3. What is n in 0 + 0*n**2 - u*n**3 + 0*n**4 + 0*n + 2\/3*n**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let o(r) = 237*r**2. Determine o(n(p)).\nAnswer: 948*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*m**2 - 2*m - 9*m**3 + 28*m**3 + 21*m**3.\nAnswer: 40*m**3 - 225*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 6716460?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8261787?\nAnswer: 3, 41, 67169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)*(-3 + 3). Suppose -5*n + 0*n = r. Let a(b) = 4*b - b + 13 - 3*b + b + 4. Determine a(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/(o\/o**(-6)))**(-1\/25)*(o**(1\/4)*o**(1\/4))\/(o*(o**1*o)\/o)**(-27) assuming o is positive.\nAnswer: o**(551\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 2:29 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.13, 117, -1\/2 in decreasing order.\nAnswer: 117, -1\/2, -1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2998752991 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asisssusxuuujsixs. Give prob of sequence iu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165607.\nAnswer: 71, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 17*g**2 + 15*g - 47. Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 471768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 0 - (4 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -707, -491, -291, -107, 61?\n\"Answer: -8*i**2 + 240*i - 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwqqqqww. What is prob of picking 2 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475393485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247806?\nAnswer: 2, 3, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 44*t**3 - t**2 + 3*t - 2. Let d be b(1). Let k = 86 - d. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 27. Let n be v(-24). Suppose -4*r = -24 - 60. Solve n*y - 4*y = -5*x - r, -5*y = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70 + (-1 - 0) + 1. Suppose 5*r - y = -5. Calculate the remainder when 51 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1166.6 - -1167. Which is the nearest to -0.1? (a) y (b) 13 (c) -1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39871714 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-20)\/6)\/2)\/((-105)\/(-42)). Sort b, -3\/20, 1\/8, -4.\nAnswer: -4, b, -3\/20, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, 12, 25, 30, 21, -8?\n\"Answer: -d**3 + 5*d**2 + 7*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 12*h - 219. Let x be c(8). Let j = 20 - 24. Suppose 0 = 3*f - 5*f - 10, n - 18 = 3*f. Sort 2, x, n, j.\nAnswer: j, 2, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23382382379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69, 151, 245, 351, 469, 599, 741?\n\"Answer: 6*i**2 + 64*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 - (-1456)\/(-1680) - (-1023)\/(-585). Let f = 0.05 - -1.95. Which is the second smallest value? (a) f (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4, -38, -19, 2 in descending order.\nAnswer: 4, 2, 1, -2, -19, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2. Let q(t) = -23*t. Give q(g(p)).\nAnswer: 115*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*m - 3*g, 0*m - 2*m + g + 5 = 0. Suppose 6*v = 3*v + j + 35, -m*v + 61 = j. Solve 0*k + 4*k + v = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/13 - 1284*j**3\/13 - 10178*j**2\/13 - 21576*j\/13 - 12680\/13 = 0. What is j?\nAnswer: -634, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 2*i + 102, -130 = -5*r + 3*i. Let o = -11 - -15. Suppose o*p - 26 = -10. Solve -4*u - 20 = 4*s, r = -u - p*s + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 74 = -7*r. Suppose -3*j + r = -29. Calculate the smallest common multiple of j and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w - 5*n, 0 = 3*w - 0*w + 4*n + 11. Let m = w - -6. Let l = 23 - -4. Calculate the greatest common factor of l and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5 + 5*x**4 + 6586*x**3 + 53699171*x?\nAnswer: -40*x**3 + 60*x**2 + 39516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 340 = 9*p. Let s = p + -210. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemuueeeueemeuee. Give prob of sequence meeu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzpzzpzpzzpzzpz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12481 + -6968. Suppose 0 = 23*g + o - 21613. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyzf when four letters picked without replacement from {e: 1, z: 8, y: 1, f: 6}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-50)*10\/(-12). Let g = -1 + 1.2. Which is the smallest value? (a) g (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352033 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.51633 nanograms to grams.\nAnswer: 0.00000007851633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 957 + -527. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 721\/10265?\nAnswer: 721\/10265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let g be c(1). Let b = -177 + 184. Let o = b + g. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2536849024428*v**2\/5 + 5517444*v\/5 - 3\/5.\nAnswer: -3*(919574*v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2049 - 2048.948. Which is bigger: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 25 + 25)*(-2*r**2 + r**2 + 2*r**2) + r**2 + 3*r**3 - 5*r**3 - r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2 + 1)*-6. Let m be (-8)\/q + (-1)\/3. Let f(p) = p**3 + 5*p**2 + 5. Let k(s) = 15154 - 7562 - s**2 - 7593. Calculate m*f(z) + 5*k(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -42*j + 1. Give x(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118 in 26\/7, 2289, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 28*t**2 + 29*t + 51. Let d be a(-27). Sort -4, 2, d in ascending order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/171800?\nAnswer: 1\/171800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*h - 2. Suppose 3*w - 36 = w. Suppose -w = t - 7*t. Solve 4*c - c - 3*k = 6, -t*k - h = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8609*r + 152*r - 6 - 2 + 8 to the form q*r + l and give q.\nAnswer: 8761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447*w + 30 = -1450*w - 3*h, -43*h = 559 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3439*a + 1440916. What is b(-419)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1 + 1)**2 - (sqrt(147) + 0 + 0)**2.\nAnswer: 1 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p. Let m(k) = 17*k**2 + 8*k + 8. Let u(r) = 11*r**2 + 5*r + 5. Let s(v) = 5*m(v) - 8*u(v). Determine x(s(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/5)*h)*h*h**(-3\/10)*h*h**(7\/2)*h*(h\/(h\/(h**(-2\/11)*h)*h)*h)\/h*h)**50 assuming h is positive.\nAnswer: h**(3640\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiciiiiicii. Give prob of picking 1 i and 1 c.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 85*w - 6. Let z(v) = -43*v + 3. Let b(p) = -6*j(p) - 11*z(p). Is b(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-1)\/(0 - 1). Suppose -4 = 5*t - 9. Suppose -k = t - r. Let n(o) = -o**2 + 7*o - 7. Calculate n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627978816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**3 - 83*o**2 + 221*o + 127. Let r(f) = 2*f**3 - 28*f**2 + 74*f + 42. Let m(v) = 3*c(v) - 8*r(v). Is m(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 3:46 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 34 = a + a, 225025*l + 5*a = 225027*l - 22 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -33*y - 122 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from efxie?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2289369*-0.4.\nAnswer: 915747.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90528 and 34194.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.31 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 13.5. Let y = 1.64 + -4.65. Let n = 0.01 + y. Sort 1\/7, j, n in ascending order.\nAnswer: n, j, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2964 by 741.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*c + 18605 = -129*c + 44*c for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((((l*l**(2\/9)*l)\/l)\/l)\/l)*l*l*l)\/l)**(-1\/14)\/((l*l**2)\/l*l)**44 assuming l is positive.\nAnswer: l**(-16675\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12421, 24950, 37479, 50008, 62537, 75066?\n\"Answer: 12529*g - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2865*g*l**3 + 4*g*l + 20*g + 15*l**4 + 5*l**2 + l wrt l.\nAnswer: -17190*g + 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -47. Let k = -26939 + 26983. Is k less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -362744 (base 8) to base 11.\nAnswer: -85500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.935252 nanograms to milligrams.\nAnswer: 0.000008935252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) 24 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or 17669?\nAnswer: 17669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101011010 (base 2) to base 16.\nAnswer: d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:57 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 9 = 5*g, -2*g - 3*x - 18 = 2*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.9 - 41.9. Let u = 4 - -1. Let y = -3 + u. What is the second smallest value in y, -0.1, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1918\/3 - -11407\/18. Let z = -873 + 417. Calculate the common denominator of t and (-286)\/(-14)*266\/z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 62*u + 59. Let r(j) = -j**2 + 21*j + 20. Let v(b) = -7*r(b) + 2*w(b). Let s be v(24). Solve -s*x = -0*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.14999997 - 1.15. Round y to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/891 and 4\/4293.\nAnswer: 47223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -668644644258708 - 2\nAnswer: -668644644258710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 357*m**2 + 7*m + 14. What are the prime factors of d(-2)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -5539*k**2\/2 - 10254*k + 2291. Differentiate y(g) with respect to g.\nAnswer: -5539","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.0051 - -0.0051. Let n = -44 - -45.9. Let h = s + n. What is the closest to h in 1\/3, 2, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 133. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147452 is divided by 147439?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*y + 136 = -268, 3*y = -5*z + 667. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -49.5. What is the nearest to -0.1 in 2, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184481334 by -5.\nAnswer: -184481334\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*f**4 - 21*f**4 + f**3 + 3*f**3)*(60 - 60 + 3*f).\nAnswer: 9*f**5 + 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 divided by -2.\nAnswer: 333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4618\/3? (a) -5 (b) -2\/3 (c) 5 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(10) - sqrt(490)*1)\/(sqrt(10)\/sqrt(80)) + (sqrt(120)\/sqrt(6) + sqrt(500) + 0)**2).\nAnswer: -24*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let o be v(-3). Suppose 0*z = z - o. What is the remainder when 10 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 199\/398*(0 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 51189?\nAnswer: 66545.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 53. Solve -3*h - 2*h + d = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 30.37. Let j = -0.37 - o. Which is the second biggest value? (a) -3 (b) 6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**4 - 2*t**3 + 5*t**2 + 8*t + 2. Let g(u) = -4*u**4 - 8*u**3 + 21*u**2 + 32*u + 7. Let o(r) = -4*g(r) + 18*v(r). Determine c, given that o(c) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -0.4, 4 in descending order.\nAnswer: 4, 1, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 3*q + 833 - 949, -3*w + 64 = -q for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17151609 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 1 + -1 - (-34 - (-143 + 101))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112222 (base 3) in base 4?\nAnswer: 101231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkr when three letters picked without replacement from {j: 11, k: 2, r: 1, d: 2}.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*-3)**2 - ((sqrt(44)\/sqrt(4) - sqrt(11) - sqrt(11)) + -3)**2) + (sqrt(11) - (sqrt(66)*-5 - sqrt(66))\/sqrt(6))*-4.\nAnswer: -34*sqrt(11) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - j**2 - 140*j + 663. Calculate o(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 5*i**2 + 2*i. What are the prime factors of j(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44561201471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-18)\/h)\/h)\/(h*h**(-10)))\/(((h\/(h\/h**(-9)))\/h)\/(h**(2\/73)*h*h*h)) assuming h is positive.\nAnswer: h**(221\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 389794*t - 779596.\nAnswer: 2*(t - 194899)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 - -2. Let j = k + 2.30019. What is j rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -396.4657 and 3.\nAnswer: -1189.3971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48883684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(969\/(-380))*(-3)\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (0 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhbhbbhbbbbb. Give prob of picking 3 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 18 = -20*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - 39*z - 13. Let a(j) = -6*j**2 + 18*j + 6. Let t(x) = 13*a(x) + 6*v(x). Let w(h) = 0*h - h + 2*h. Give t(w(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 123*a**2 + 9*a + 8. Let d be w(-1). Let k be 6\/21 - d\/(-14). Calculate the greatest common factor of 117 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -36*k - 697. Determine j(-18).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -256, 1023, 3834, 8177?\n\"Answer: 766*s**2 - 1019*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Let x(s) = -s + 5. Let v be x(-7). Suppose v = w*n - n. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358151118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2995000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z + 19 = -5*c - 47*z, 25*z = -2*c + 27*z - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 11*f + f - f**2)*(3*f - 2*f + 3*f) + (f**3 + 4*f**3 - 2*f**3)*(-1 + 3 - 3) to the form d + b*f**3 + h*f**2 + u*f and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/130*(-5)\/(-7)*21\/(-18)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 85724147 and 4.78.\nAnswer: 85724151.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11035061?\nAnswer: 821, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37095339, 37095342, 37095345, 37095348, 37095351, 37095354?\n\"Answer: 3*p + 37095336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -650, -659, -682, -725, -794, -895, -1034?\n\"Answer: -o**3 - o**2 + o - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-30)\/8) + (-99)\/(-12). What is the highest common factor of r and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168070 is divided by 83813?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234*w**4 + 6*w + 604.\nAnswer: 936*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -2*b - 5*s, -4*s + 38 = 78 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*-2*sqrt(45))\/(sqrt(441)*-1) + (sqrt(320)*-2 - sqrt(45)*5) + 0.\nAnswer: -211*sqrt(5)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q**2 - 13*q - 1. Let h(r) = 36*r**2 - 27*r - 3. Determine 3*h(f) - 7*k(f).\nAnswer: -11*f**2 + 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 1, t: 6}. What is prob of sequence ttt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -14 + (-12 - -9) + 5 + 5 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vqjqqqqvqjjvjvjpqqqq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(8\/(-2)))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16795217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21418 is divided by 657.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -12*c + 291. Suppose 0 = o + 166 + c. Let y = 437 + o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*a**3 - 245*a**3 - 196*a**3 - 176*a**3.\nAnswer: -404*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 586942.7 kilometers in meters?\nAnswer: 586942700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 816792.1mg?\nAnswer: 816792100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8723922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Is b(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 141 = f, -4*f + 2*a = 586. Let q = f - -150. Solve -q = -2*u - 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/3, 0.9, 680 in increasing order.\nAnswer: -2\/3, -0.1, 0.9, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 198, 195, 192, 189, 186, 183?\n\"Answer: -3*z + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - -190?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*h**4 + 2\/3*h**3 + 14\/15*h**2 + 2\/5*h + 0.\nAnswer: 2*h*(h + 1)**2*(h + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1475.79 + 1467. Let d = f - -9. Put 1\/12, 3, d in descending order.\nAnswer: 3, d, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -3*k**4\/2 - 13*k**2\/2 + 13*k + 3. Let u(s) = s**3 + 2*s - 2. Let x = 21 - 27. Determine x*m(z) - 39*u(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110000101 (base 2) to base 9.\nAnswer: -5404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 30*m**2 - 15*m + 72. What is the remainder when z(13) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4130*t = 4149*t. Is t at least -8\/483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/1*9\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:51 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 280.5245us?\nAnswer: 0.0002805245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 1\/12*a**4 - 41\/3*a**3 + 4 + 31\/2*a**2 - 3*a. What is the first derivative of x(z) wrt z?\nAnswer: 2*z - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21717, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1733\/3 or 577?\nAnswer: 1733\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(4\/9)*k**(-2))\/(((k\/(k*k\/k**(-1\/12)))\/k)\/(k**(-1\/18)\/k)))**19)**(-2\/3) assuming k is positive.\nAnswer: k**(-323\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66.48 and -0.5?\nAnswer: 33.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000011110 (base 2) in base 4?\nAnswer: -1220132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2) + 5 - sqrt(66)\/(1*sqrt(6)) - (6*(-5 + sqrt(176) - sqrt(176)))**2) + -4.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose -11 = -z*d + 2*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.3 - -49.89. What is the closest to -0.2 in d, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwwwooosw. What is prob of picking 3 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - (-31 - -9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 22 = -22*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 23 + 25. Let q be 3\/4 - (-6)\/j. Solve -q - 14 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/21)*j*j*j\/(((j**(2\/3)*j)\/j)\/j))\/((j\/((j**(-1\/3)\/j)\/j))\/(j**4*j)))**(-45))**(-47) assuming j is positive.\nAnswer: j**(72615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 22*p**2 + 24*p - 70. What is the remainder when w(-20) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1579 + -1652 - (-138 - -3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2448 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 23, -2 in decreasing order.\nAnswer: 23, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6 and 81\/17092?\nAnswer: 51276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 12 - 8 - -24. Solve 3*r - i*b = -7*b + 1, 5*r - 5*b - 5 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 22*h + 554. Calculate q(-26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-176)\/6)\/((-15)\/900000). Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -328 (b) -0.6 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701404, -2805511, -6312354, -11221933, -17534248?\nAnswer: -25249299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 2*j, 6*l + 5 = 3*j + 5*l. Suppose 4*u = -j*v - 2, -4*u = 3*v + 13 - 6. Factor 3*g + 7*g + 0*g**u - 4 - 6*g**2.\nAnswer: -2*(g - 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwwwwy. What is prob of sequence wwyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8850 + 8791 + -19 + 0 + -1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820 divided by 1760.\nAnswer: 41\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 43*l**8\/84 - l**6\/120 - l**5\/30 - 10*l**3\/3 - l**2 - 11*l. Find the third derivative of s(w) wrt w.\nAnswer: 10320*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 14466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -4*j + y, -3*y = -8*j + 4*j + 768. Let m = 338 - j. Calculate the remainder when m is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h - 13910794 + 13910797 + 11*h.\nAnswer: -7*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4505 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 319, 1148, 2521, 4432, 6875?\n\"Answer: -s**3 + 278*s**2 + 2*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + -5.2\nAnswer: -5.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.5 - 73. Suppose -4*n - n = 0. Let f = 28 - 27. Sort n, d, f in descending order.\nAnswer: f, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19906446 - -613.1793?\nAnswer: -19905832.8207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48623575.15324 + 0.04?\nAnswer: 48623575.19324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 24. Suppose 2*f + 0 + 6 = -2*n, 3*n = 5*f + 15. Solve 2*v + t = -n*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.4, -2\/7, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/20 and 59\/25096.\nAnswer: 125480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*h**2 + 157*h**2 + 60*h + 8*h**3 - 12*h**4 + 17*h**4 - 8*h**3 + 11 wrt h?\nAnswer: 60*h**2 + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000124947248 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 28 + 91 = 0. Let a = -7 - v. What is the highest common factor of 98 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124*a**4 - 64903*a**3 - 47589*a**2 + 342*a = 0. What is a?\nAnswer: -57, -3\/4, 0, 2\/281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w - 2. Let p(m) = -6*m**2 - 7*m - 2. Let v(x) = 3*a(x) - p(x). Let l(b) = 24*b**2 + 33*b - 33. Let s = -6 - -10. Calculate s*l(d) - 33*v(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 1.1. Which is the nearest to -0.2? (a) -0.1 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -2*s, 5*j - j - 2*s = -4. Find the common denominator of (42\/20)\/(j\/2) and -56\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1590 divided by -159.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1050841 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 9*j**2 + 3. Suppose 3*f + 9 = 4*f. Let a be z(f). Suppose a*c + 15 - 96 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-1)\/3). Let i be (45\/6)\/5*(-12)\/18. Let s be 35*i\/(-4)*5\/25. Is s at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*n - 35. Factor -27\/4*v**2 + 9\/2*v + n*v**3 - 3\/4.\nAnswer: 3*(v - 1)**2*(4*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*64\/(-48)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 3) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 21. Let a = -7 + n. Suppose y = -a*y + 196. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 16 = -5*p, -2*p = -2*w + 5292. Suppose -2*y - 3*y + w = 0. What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*s + 12, -2*h = -3*s - 0*h + 19. Let k = -1 - -2. Let d = k + 18. What is the remainder when d is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in 2\/9, -3, -2, 2\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 89*n\/4 - 235\/2.\nAnswer: (n - 5)*(n + 94)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t*t)**(-13\/4) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 479?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 1460*v - 532900.\nAnswer: -(v + 730)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -3, -271, 0, 102 in descending order.\nAnswer: 102, 3, 1, 0, -3, -4, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 + x. Let j be o(-1). Suppose c - 2*c - 4*m + 25 = 0, 5*m - 11 = c. What is the first derivative of -3 - c*t**3 + 7*t**3 + j*t**3 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {z: 2, f: 3, a: 1, n: 5, j: 1}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14475, 14411, 14345, 14277?\nAnswer: 14207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = 53*u + 75*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -763, -932, -1181, -1504, -1895?\n\"Answer: r**3 - 46*r**2 - 38*r - 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*c**5 + 24*c**5 + 7*c**2 + 9*c**5 + 0*c**2 wrt c?\nAnswer: 720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 = 1. Sort 2, 4, u in decreasing order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 475296*l + 475293.\nAnswer: 3*(l + 1)*(l + 158431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-3)\/24*-4. Let w(j) = -j**3 - j**2 - 13. Give w(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*f**2 + 56*f**3 + 76 + 11*f**2 + 4*f**3 - 74 + 8*f**2 - f as a + r*f + u*f**2 + x*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 + 301. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from rek?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7168, -7169, -7170, -7171, -7172?\n\"Answer: -m - 7167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a factor of 25835208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13861745 is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106856343?\nAnswer: 3, 11, 1079357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 0.171, 2.3, 1\/2, 0.1, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -35*j - 30. Let h be f(-3). Let r be (-4)\/30 - (-1 + (-5935)\/h). Let c = 117 - r. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*p = l - 22, 5*l - 26 = -2*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112 - -5?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 85501*z + 5215569. Determine u(-61).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11 - -248658*-12*12\/(-864)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2749236616?\nAnswer: 2, 7, 19, 1231, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 150.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-18)*150\/4. Let y = r - 4009\/24. Let w = 198\/7 + -28. What is the nearest to w in y, 4, -19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 34155*d**2 - 32*d + 25. List the prime factors of z(1).\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b3a - 8?\nAnswer: -4b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1652)\/(-9912))\/((-1)\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/13 (b) -86 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.349 minus -1.5?\nAnswer: 3.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 7*u**2 - 76*u - 40. What is c(-7)?\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 573 = -4*y, 4*u - 885 = -2*y - 121. Let v = -190 + u. Which is bigger: v or 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-14) - (-25)\/((-125)\/20). Factor 0*u - 2\/7 + c*u**2.\nAnswer: 2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/1300)\/(45\/(-72)))\/(51\/(-765))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.476 + -0.024. What is the fourth biggest value in 5, a, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630*826.\nAnswer: 520380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 31006?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383652508 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 2472*g**2 + 1018464*g + 139869056.\nAnswer: 2*(g + 412)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1225569116 by 2204261.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*d**3 - 83*d**3 + 183*d**3.\nAnswer: 261*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*q**4 - 2*q**2 - 31*q.\nAnswer: 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**3 + 8*n**2 - 3*n + 2. Calculate k(3).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, h: 3, k: 1, q: 1, e: 1}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8332209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 7*p + 18. Let x be g(9). Which is smaller: x or -32\/27?\nAnswer: -32\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-2))\/(2\/70). Let r be (-4)\/10 - (-5526)\/f. Let s = r + -39. Find the common denominator of -109\/14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -778cab?\nAnswer: -778caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -396.1133 and -0.557?\nAnswer: 395.5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:45 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25198 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 plus 70?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 + 384*o + 8946 = 0 for o.\nAnswer: -21, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 13087\/10093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -q + 2*q + 3, 10 = 4*q - 3*v. Let s be 3\/q - ((-279)\/(-99) + 0). Let y = 0.1 - -0.2. What is the smallest value in s, y, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33688*x**5 - 3*x**3 - 10*x**2 + 5229*x - 58140 wrt x.\nAnswer: 673760*x**3 - 18*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pptttppltt. What is prob of sequence ltlp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(3) - (sqrt(3) - (sqrt(60)\/sqrt(2))\/sqrt(10))))\/((1*sqrt(120)*2)\/sqrt(12)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*d*g**5 - 6*d*g + 3*g**5 - 26*g**2 wrt g?\nAnswer: 4320*d*g**2 + 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 28 = 0. Let p(c) = 42*c**3. Let m be p(1). Suppose 0 = -a - a + m. What is the greatest common divisor of a and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-23))\/(175\/(-245) - (-60)\/(-210))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.23 from -879706.\nAnswer: -879708.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 68.2. Let a = j - 9.2. Let f = -3 + 2. Put f, a, 2\/3 in decreasing order.\nAnswer: 2\/3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28540 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 15 - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274 (base 13) to base 7.\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 22\/7*v**2 - 2\/7*v**4 - 12\/7*v**3 - 12\/7*v = 0. What is v?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -59, -80, -109, -146?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -117812 (base 13) to base 11\nAnswer: -264aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6 + 3. What is the first derivative of 4*j**2 + 90 + c*j**2 - 82 wrt j?\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, g: 1, w: 2, u: 1, m: 1}. Give prob of sequence mg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 24292429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one fifths of a meter?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84362909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10616 - -2?\nAnswer: -10614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130207829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 6. Let s be z(3). Suppose d + 3 = 0, 4*d - 6 = j - 23. Put j, s, 1 in descending order.\nAnswer: j, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e718a (base 16) in base 4?\nAnswer: 3213012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 839 divide 21390855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -12 - (-7 + (2 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26740985 is divided by 469?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.25 and 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 7\/4, -14\/5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 476\/44 + 2\/11. Let v be f + -9 + 6\/2. Which is the nearest to -0.3? (a) -2\/5 (b) v (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914*u - 8228 = 6267 + 9669 - 400 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 127 = -3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2000\/363 - -140\/121. Let b(z) be the first derivative of f*z**3 - 16*z - 2*z**2 + 32. Solve b(d) = 0 for d.\nAnswer: -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -1 + 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 20 - 4*r - 11)*(3 - r + 6*r - 1)*(2*r**2 + r - r) as z + u*r + n*r**2 + h*r**4 + k*r**3 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 139. Suppose -3*l - 6 = 0, -2*q = 4*l - a*l - 14. Solve -18 = -3*g - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134622287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9))**(-16)*(r*r\/r**(-2))**48)\/((r\/r**4)**16)**(-6\/11) assuming r is positive.\nAnswer: r**(16064\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 13*k - 23. Let g be v(17). Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 10 - (9 - (-171)\/(-84)))\/(17\/612)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4)**(-1\/67)\/((s*s**(-16)\/s)\/(s**(1\/10)\/s)))**(-21\/2) assuming s is positive.\nAnswer: s**(-211617\/1340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301*b + 728*b + 238*b)*(-3*b**4 - b**2 + b**2).\nAnswer: -3801*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 1. Let u(r) = 2*r + 1. Determine -3*o(y) + 5*u(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 323?\nAnswer: -96.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1) + (-5 - (11 - 13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b - 161. Let j be m(-11). Suppose j*i - 65*i - 112 = 0. Solve v = -2*v + h - i, v - 4*h = 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.8 - -0.8. Let w = o + -3. Let a = 12 + w. What is the nearest to -1\/2 in a, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(500) + sqrt(500)*4)**2 + (6*sqrt(80)*-1 + -4)**2.\nAnswer: -708*sqrt(5) + 40423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/((-1)\/(-2))*10. Solve 2*b - 2 = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104049477 and 2.\nAnswer: 208098954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002466 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13383 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 + 7*u - 7. Let s(f) = f**3 - 7*f**2 - 81*f + 33. Let l be s(13). Give h(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/4 + 117*a**4\/2 - 3663*a**3\/4 - 8949*a**2 + 98595*a + 661500 = 0. What is a?\nAnswer: -7, 12, 30, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/(8\/156). Suppose -112 = -5*a + g. What is the highest common factor of a and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.5, -0.04, 54?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 2*z**2 - z + 1. Suppose 3*d + 2*t = 6, t = -3*d - 0 + 6. Suppose -5*l - d = 8. Determine p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1903942 + 31.\nAnswer: -1903911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -2.553?\nAnswer: -10.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 + -55?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -344*p - 536. Does 43 divide g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*(140\/175)\/(2\/5). Solve 33 = i + 4*i - 2*l, -h*i - 3*l + 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 32503 + 19419 = -2*l, 2*l - 2 = 0. Suppose -o = -7*a + 7046. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o**2 - o**2 + 5*o**2)*(0*o + o - 3*o)*(361*o + 67*o - 73*o) to the form q*o**4 + z*o**2 + p + l*o + v*o**3 and give q.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 2. Let r(m) = -8*m - 108. Let g(k) = -r(k) - 4*u(k). List the prime factors of g(30).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/((-3)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 650223653 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 16*p**3 - 25*p**3.\nAnswer: -37*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117080 rounded to the nearest 1000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57940*q**3 - 109763 wrt q?\nAnswer: 173820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38112, -38109, -38106?\n\"Answer: 3*m - 38115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**2 + 1 + 9*l**2 - 8. Let b be a(5). Suppose f + 4*h - b = 0, 2*f + 26 = 5*f - 2*h. Solve 15 + f = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let h(p) be the second derivative of -4*p + 0*p**2 + 0 - 5\/3*p**3. Determine r(h(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-84)\/(-63))\/((-2)\/(-45)). Calculate the greatest common factor of 75 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s + 82*s = -36 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292583825 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 y = 83 - 86. Suppose 0 = -4*q - p - 70, -q - 5 = -3*p + 19. Let d = 16 + q. Put 3, 1, y, d in descending order.\nAnswer: 3, 1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {e: 2, x: 9, y: 7}?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:51 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 134. Which is bigger: -54 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34201319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10746*o = -10740*o + s - 13, 3*o - 8 = -2*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -2*z**6\/15 + 7*z**5\/30 - 23*z**2. What is the third derivative of v(u) wrt u?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 + 2740*y - 783*y - 1545.\nAnswer: 1957*y - 1889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 84, 132, 192, 270, 372, 504, 672, 882?\n\"Answer: i**3 + 41*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295171457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178 is divided by 822\/(-3 + (-189)\/(-14))*(-28)\/(-8)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxs when three letters picked without replacement from cdsxxbs?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - -0.24. Let j = t - -0.13. What is the nearest to -1 in 0.3, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {d: 1, w: 3, v: 2, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 - -528?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2990 - 913. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.091, -3\/5, 3, -2 in descending order.\nAnswer: 3, 0.091, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.12. Let t = 0.11 + j. Let n = t - 0.03. Which is the smallest value? (a) -5 (b) n (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -63. Is -1*(h*1)\/2 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92061, -91068, -89411, -87090, -84105?\nAnswer: -80456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 4*u**5\/5 + 13*u**4\/12 + u**3\/3 + 15*u**2 - 30*u - 1. Let f be t(14). What is f rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 62*h - 15 + 2260*h + 2*h + h - 2*h + 0*h - 3*h + 2*h + (-3 + 4 + 1)*(h - 1 + 1) to the form o*h + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from ywgwmywggwtw.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 8 + 9. Let y be (10 - 4\/d)\/(-2) + 7. Solve 5*f = -5*s + f + 28, 0 = -2*s - y*f + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202389 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.1. Let d be 2\/(2 + 2 + 2). Let g = 0.02 + -0.22. Which is the closest to d? (a) -1 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*t**4 - t**3 - 173*t**2 + 2634*t + 2?\nAnswer: -228*t**2 - 6*t - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -11 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25120 divided by -4\nAnswer: 6280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/35 + 38610\/(-2142) - 32\/272.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0*z - 5 + 0 + z**2 - 10*z. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 263, 504, 841, 1274?\n\"Answer: 48*i**2 + i + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**3 + l**2 - 2*l + 1. Let r be c(-3). Let s be (r\/(-5))\/((-5)\/(-25)). What is the highest common divisor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21 + -7 - 1155990\/82570. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139798 = 95*r + 138563 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -399, 0.76, -1, 275?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -315*h + 509 - 3029 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.138262 grams?\nAnswer: 2138262000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72) - ((sqrt(72) - (sqrt(72) + sqrt(72)*1*5 + sqrt(72))) + sqrt(72) - sqrt(72)))) + sqrt(72)))\/sqrt(9).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 13 + 4. Let z(y) = 2*y. Let p(b) = -b. Let g(k) = t*z(k) - 5*p(k). Let h(s) = 15*s. Give h(g(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 51827848?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2615820, 2615795, 2615724, 2615583, 2615348?\nAnswer: 2614995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 34*m**2 + 2*m + 3. Suppose 4*z + 3*o + 2*o = -18, 3*z - 4*o + 29 = 0. Is r(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 plus -650?\nAnswer: -647.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -3, 5, -0.4, -3\/2, 85\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 5:01 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*i**2*j + 1165*i**2*s - 846*i*j*s + 47*j + s - 1164 with respect to s.\nAnswer: 1165*i**2 - 846*i*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {p: 3, b: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22 - (-3020)\/(-140)) + 1\/(-7). What is the third smallest value in 2, o, -0.4, 1, 0.078?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 + 0*k**2 - k**2)*(-3 + 2 + 0) + (9 - 1 + 4)*(0*k**2 + k**2 + k**2) + 2*k**2 + 3*k - 3*k in the form o + t*k + q*k**2 and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10606213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324834456 and 848.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (31 + -21)) + 18 - (9 + 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 + 1486*k - 13361. Give y(9).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p + 526 = -2*o, 2 = o. Let v = -39 - p. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -166? (a) -13 (b) -0.4 (c) 97 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o**2 + 0*o**2 - o**3. Let t be g(0). Suppose t*n - 13 = -n. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3 - 6*t**2 - 3 - 7*t. Let c(p) = 5*p**2 + 6*p. Let m(v) = 7*c(v) + 6*f(v). Let r(i) be the first derivative of i**3 + 1. Determine r(m(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c7 (base 13) to base 4\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -c + 2*c + 3*h, 0 = -5*c - h - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*m - 1760 = -6240 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2208*a + 856725. Determine m(388).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/12 - 10*m**2. Suppose 5*y - 30 = -5. Let q(p) = 0*p**2 + y*p**2 - 7*p**2 + p**2. Give i(q(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 14?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 5 + 5 + 5*l. Let y be h(-7). What is the units digit of y\/2*12\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -980819*z**3 - 1735906 wrt z?\nAnswer: -2942457*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 7*p**2 - 4*p**3 - 203 + 405 - 201 to r*p + h + s*p**3 + t*p**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19824.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 25 = 5*v + 6, -5*v - 3*i - 2773 = -3*v - 2768 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 1595539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulmy when four letters picked without replacement from ytmzullltyt?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 331757605, 331757604, 331757603, 331757602, 331757601?\n\"Answer: -z + 331757606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.431 - -0.331. What is the fourth smallest value in q, 1\/6, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ab6 - -47?\nAnswer: 1b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2083 - -1236. Let o = r - -13467\/16. Let d = 11969\/8 + -1490. Calculate the common denominator of d and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197899148*d**2 - 2*d - 86489996 wrt d?\nAnswer: -395798296*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3.6, -0.1, -0.2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359124006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 13882916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44601 + -0.4?\nAnswer: 44600.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccvdbcvdvdcbcwc. What is prob of sequence bc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 9*f - 1. Let g(h) = -5*h**2 - 10*h - 2. Let i(c) = -5*g(c) + 6*x(c). Let j be i(3). Let s(w) = 2 + w - j - 4 - 3*w. What is s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40560.11 + 40560. Sort -5, -0.055, -4, -3, t.\nAnswer: -5, -4, -3, t, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 484\/16. Let p = t - -30. Let v = 0.2 - 0.4. Which is the closest to p? (a) v (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -107877, -107878, -107879?\n\"Answer: -p - 107876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1233*j - 431*j - 1099*j - 2426*j - 2908*j to the form o*j + b and give o.\nAnswer: -5631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1032799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/40 + (-1638)\/(-5). Let d = 467 - t. Let q = d - 79. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -10\/3. Let t = 34 - 37. Let j be 1*(-34)\/(-12) + t. Put c, 2, j in ascending order.\nAnswer: j, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -v - 0*v + 520, -3*v + 1645 = 2*i. Is (0 + 1)\/(5\/v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 77.89 from -1644.9.\nAnswer: -1722.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 3101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 q when four letters picked without replacement from {d: 4, o: 7, q: 6, m: 1, f: 2}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 10) in base 6?\nAnswer: -1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8373010 divided by 17\nAnswer: 492530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 + 136*r**2 - 285*r wrt r?\nAnswer: -6*r + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 + 18*b + 59. What is n(-4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8557007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 2. Let f(y) = 1. Suppose 5*v - 10 = -0*v. Suppose 2*x + 2*g = -3*x + 5, 5 = g. Calculate v*f(b) + x*j(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6147.3 to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/7 and 65\/477?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**3*l + 49368*c**3 - 2*c**2*l - 295143*c*l - 4*l wrt c.\nAnswer: 42*c*l + 296208*c - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/23 - 5094*h**3\/23 - 483758*h**2\/23 - 4794786*h\/23 - 7695324\/23 = 0.\nAnswer: -81, -9, -2, 2639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25513717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -33*z**3 - 31. Let k(j) = -33*j**3 - 31. Let p(s) = -5*k(s) + 4*w(s). What is the derivative of p(r) wrt r?\nAnswer: 99*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 2. Let k be n(2). Suppose 0 = -k*t + 102 - 34. Calculate the remainder when 33 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**4 - 102*u**3 + 277*u**2 wrt u.\nAnswer: 72*u - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/18*(-10)\/(-3). Solve w - 3*w + 2 = -s*r, 0 = r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75345*d**2 + 226043*d\/3 + 8\/3.\nAnswer: (d + 1)*(226035*d + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15269955 to the power of 1\/2, to the nearest integer?\nAnswer: 3908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in 216, 0, -3?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 229775*m**3 + 17598314034*m**2 - 449226288735028*m - 3145446417348088.\nAnswer: (m - 76594)**3*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 2*z. Suppose -z*f + 16 + 44 = 0. Suppose -5*j - f - 5 = 0. Let v(s) = s + 1. What is v(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 3, e: 2, o: 1, w: 1, u: 3}. Give prob of sequence uu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 2*f + 2. Let u(s) = s - 9. Let n be u(7). Let b be d(n). Let j be 2*(-2)\/(-8)*0. Solve j = -5*a + b*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 - -798. Suppose 5*c + 598 = h. What is the highest common factor of c and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7142, -14277, -21412, -28547, -35682, -42817?\n\"Answer: -7135*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*8\/(64\/60). Let v be ((-24)\/n)\/((-2)\/5). Differentiate -4 - 5*w**2 - 2*w**2 + 5*w**v with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = m - 118, -3*m - m - 5*q + 433 = 0. Let r be m\/10 + (-1)\/5. Calculate the greatest common divisor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 3. Is h + 1 - 970\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 6. Let o(n) = -3*n + 12. What is -14*d(h) + 6*o(h)?\nAnswer: -4*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 7*t**2 - 2*t + 3. Give b(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*v - 68, v + 4*v - 5*m = 140. Calculate the greatest common divisor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - 186. Let y be (36\/(-8))\/(1\/(-2)). Let j(w) = y + 0*w**2 + w**2 - 10 + 4*w. Calculate j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -115.89. Let p = w - -2.889999395. What is p rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1841397 (b) -0.6 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398415 is divided by 99318.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533905347 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(72) - 6*(2 + sqrt(2))) + (5*(4 + sqrt(4)\/sqrt(2))*-2)**2.\nAnswer: 788*sqrt(2) + 1786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1209 - 787 - 991)*(3*o**2 + o**2 + 0*o**2).\nAnswer: -2276*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562\/848 - 20\/530.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*p + 3*s - 25, 0 = 4*p + 5*s + 48. Let y be ((-10)\/8)\/(1\/p). Let j = 40 + y. What is the greatest common divisor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -33. Let u = j - -13. Let m = u + 6. What is the smallest value in m, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3429, -11200, -24149, -42282, -65605, -94124, -127845, -166774?\n\"Answer: -b**3 - 2583*b**2 - 15*b - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = q, -3*i = q + 2*q + 9. Let s(u) = -379*u. Let y be s(q). Let z be 6\/15 - y\/(-5). What is the greatest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4083 by -2.\nAnswer: 4083\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 74201*h - 816250. Give n(11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4, -96, 1\/915, -32\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334258153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401404 + -12010?\nAnswer: 334344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43109333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7945678847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39242, 83305, 127370, 171437?\n\"Answer: q**2 + 44060*q - 4819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t - 3. Let h be b(3). Let y be ((-3)\/5 - -1)*-5. Let c = y + 7. Solve h = c*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -44 (b) -17593 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15418.83 plus 36919?\nAnswer: 52337.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*g = -3*o + 11, o - 2*g = 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 577652804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108118944 by 1.\nAnswer: 108118944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -27. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1235409352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 144931)*((-184)\/23 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 5997 = 673*f + 1914*f + 74820 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 23*z = -3*h + 1, -5*z - 5 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 256 = 4*c. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13012374?\nAnswer: 2, 3, 31, 69959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, o: 4, j: 1, r: 2, f: 3}. What is prob of picking 1 r and 3 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -14.6, -2, 3, 5\/2 in ascending order.\nAnswer: -14.6, -2, 2\/13, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose 0*z - 4*z + 10 = -2*y, 2 = 2*z - 4*y. What is the closest to -1\/4 in w, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/7 less than or equal to 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128417119 to the power of 1\/2, to the nearest integer?\nAnswer: 11332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:23 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 61?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvaooaooaovova. Give prob of sequence vaga.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5278 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -143.8 and -0.4.\nAnswer: 57.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108 + -133 - (-1 - 6) - -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/3 - 8*g**4\/3 - 22*g**3\/3 - 4*g**2.\nAnswer: 2*g**2*(g - 6)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*b - 10, -4*j - 3*b - 3 + 9 = 0. Solve -3*u + 3*v - 18 = 0, u + 0*u + v = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 2278078 = 10*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(88) - sqrt(88)*2)*1 - -5*-2*sqrt(88))\/(-4*(sqrt(968) + -4*sqrt(968))))**2.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/((-2)\/(-4)). Let h be (-1)\/(f\/24) - 0. Suppose -h*r = -3*r - 130000. What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, -0.2, 1, -1\/410, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.837785 * -1.4\nAnswer: 2.572899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = t, -l - 3 = -4. Suppose 0*k = -k + 7. What is the remainder when t is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 226*c - 37. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 23*k + 46. Suppose 3*w - 5*n = 83, 4*w - 64 = -3*n - 2*n. Let z be j(w). Let h(a) be the third derivative of a**4\/24 + a**2. Determine h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyp when three letters picked without replacement from iyiididkpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1084 = -100*c - 198 + 1014 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/120 - 17*l**4\/48 + 13*l**3\/3 + 1999*l**2. Find u, given that b(u) = 0.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 + 2. Let n be u(-6). Suppose k = 1, n*l - 3*k = -k + 40. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 + 74 + 2*k**2 + k**3 + 0*k**2 in the form r*k**3 + s*k + o*k**2 + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 + 0*p**3 - 3*p**3 + 2 + 2*p**3 + 5*p**2. Let q be r(5). Does 2 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 66. Let f be (-3)\/(-6) + 1 + o\/(-2). Suppose 0 = -0*k + k + 2*x - f, 3*x = 4*k - 67. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -3. Suppose 2*u = 2*g - 4, -4*g + 12 = 2*u - 2*g. Let z(l) = l + 12 - 8 + u*l. Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -74. What is the greatest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072 divided by 81?\nAnswer: -1072\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19751 times 65.7\nAnswer: -1297640.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/35, 2\/11, 0.5, 0.6, -0.4?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122010 (base 3) to base 15.\nAnswer: bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/((l\/(l\/(((l*l**(-5\/3))\/l)\/l)*l))\/l)*(l**(-2\/5)*l)**(-47))**(-8\/15) assuming l is positive.\nAnswer: l**(2104\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68340 by -22780.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16008225 divided by -5\nAnswer: 3201645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/12 + k**3\/3 - k**2\/2 - 4*k. Factor z(h).\nAnswer: -(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -546 - -564. Suppose -23*h - 3*o + 228 = -q*h, -5*o - 175 = -4*h. Calculate the highest common factor of h and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 32*w - 309. Calculate v(14).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 + 4. What is the smallest value in u, 3\/5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798048 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3602305131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 30 = 19*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**8\/2240 - m**7\/840 + m**5\/3 + 16*m**4\/3 - 9*m. Let b(h) be the third derivative of c(h). Differentiate b(s) wrt s.\nAnswer: 9*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-45)\/12)\/1)\/(6\/16). Let m be (-18)\/(-4)*d\/(-30). Let z = -17\/14 + m. Which is the closest to z? (a) 0.1 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*j*m**2*n**2 + 11*j*n + 118*j + 13523*m**4*n - 3*n**2 + 2*n - 2 wrt m?\nAnswer: 106*j*m*n**2 + 54092*m**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10333, 20667, 30999, 41335, 51681, 62043, 72427?\nAnswer: 82839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4896 - 4894. Solve 0 + 0*a - a**f - 1\/4*a**3 = 0 for a.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -8 - 2\/3*g**4 - 2*g + 12*g**2 - 47\/3*g**3. Determine z so that d(z) = 0.\nAnswer: -12, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 34*r**3 - 577*r**2 - 11*r - 99. Determine q(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 + 13 + -5. Which is bigger: 9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3230 = -56*n + 39*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -42*x + 44*x + 3*t, 104 = 4*x + 3*t. Suppose -88 = -31*v - x. Solve 0 = -4*r + k - 18, v*r + 2 = -5*k + 2*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 753570171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10 = -b + 3*b, 2*z = b - 5. Let d be (b\/(-2))\/5*-4. Let s = -320\/3 - -108. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b - 8. Suppose 0*f + 4*f = g + 4, -4*f + 8 = -2*g. Let d be a(g). Let l = d + 117. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2480 + -1191. Round v to the nearest ten.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 2.902?\nAnswer: -2.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722 + 60161 + 5467 = 10*z. Does 71 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1403322133*m**2 + 1403322133*m**2 - 6*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1099.2ml?\nAnswer: 1.0992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 3. Let t(y) = -y**2 + 41*y - 114. Let c be t(38). Suppose g - 5*v + 3 = -2, c = -2*g + 3*v - 3. What is l(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, o: 3, v: 6, n: 1, r: 4}. What is prob of picking 2 v and 1 t?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = o, -3*o + 4*w - 6 = 3*w. Let x = 22 - 26. Let q be (-4)\/10*(x + o). Solve -2*y - b + q = 0, -4*b = -2*y - 2 - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4031542 is divided by 775.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2. Let w(v) = -16*v. What is w(i(j))?\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374 less than 0.18917011?\nAnswer: -4373.81082989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 3. Let h = -4.3 + a. Put 3, 0.4, h in decreasing order.\nAnswer: 3, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3*d - 6. Let k be g(-2). Let b(q) be the third derivative of q**2 + 0*q + 1\/6*q**3 + 0 - 1\/12*q**k. What is the derivative of b(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 27 = 43. Suppose -2*d + 69 = 3*d + a, -2*d = -3*a - r. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -16\/3 + 32\/3*n + 20\/3*n**4 - 4\/3*n**5 - 28\/3*n**3 - 4\/3*n**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6125 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 - 24 = 0. Let a = b + -17. Does 7 divide 26 + a + -2*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 9*s + 10. Let z be r(10). Let t(u) = u**2 - u + 14. What are the prime factors of t(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1127 = -363. Suppose -2*b - 2*k = 112, -4*b + 5*k - i = -29. Let u = b + 109. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 20*j = -48. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13562 + 6644 = 1527*z + 1882 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -5, 2, 5, -4 in descending order.\nAnswer: 5, 2, -4, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 9*i**2 + 24*i - 302. Let z be x(13). Calculate the highest common factor of z and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 26*v - 30*v + 6, -v + 8 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2821b9d6 + 4?\nAnswer: -2821b9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1262.6 - 1264. Which is smaller: -135 or m?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-624)\/40 + 16). Let z be (1 - -1)*4 + 2. Solve z = -5*g - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 24*z = 15. Find the third derivative of -31*m**2 - 88*m**3 - 3*m**6 - 38*m**6 + 88*m**z wrt m.\nAnswer: -4920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*d, -2*d + 6 = -11*n + 13*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 18*o + 21. Calculate i(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 + 4*k**3 - 1 + 1 + 3*k**3 + (0*k + 0*k - 2*k**2)*(-3*k + 2*k + 0*k) + 2*k**3 - k + k.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4*c - 4. Let k(r) = -r**2 - 4*r + 4. Let b(i) = -6*g(i) - 7*k(i). Let t be b(-5). Let n = -5.2 + 0.2. What is the closest to -2\/7 in -1, t, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Let c = 1154.9 + -1154.6. What is the nearest to 1 in -5, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42928706 divided by 6\nAnswer: 21464353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11008\/21 + 524. Let v be 0\/((-16)\/12 - 10\/15). Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -538.4\nAnswer: 538.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17617092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1. Let v(l) = -l + 6. Let s(d) = 3*n(d) - v(d). What are the prime factors of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 58 = 5*d + 264 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 388*c + 2472 = 0. What is c?\nAnswer: -6, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-55)\/(-10) - (-22)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/24 (c) -2 (d) 27\/10 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 60129636*k**2 - 60129640*k = 0. Calculate k.\nAnswer: -1, 0, 15032410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149850 and 157842?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110132 (base 4) in base 5?\nAnswer: 1144130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 15354. Let y(d) = 3*d - 22997. What is 8*x(s) + 5*y(s)?\nAnswer: -s + 7847","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 4. Let b(w) = 0*w**y - 1 + 5 + w**2 - 3. Let c(r) = 2*r**3 - r**2 - 3. Suppose 0*z = -2*z - 2. Determine z*c(s) - 3*b(s).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -861\/137 or -6?\nAnswer: -861\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 196 - 199 + 6*o - 4*o. Let t(x) = -x - 7 + 2 + 7 - 1. Give 11*t(f) + 4*v(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 + 6*n - 3. Give z(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2141.7*-2.\nAnswer: 4283.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooopooooppppp. Give prob of sequence pps.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/((q*q**(-2\/23))\/q))\/q)*q*((q\/((q\/q**(-17))\/q))\/q*q)\/q)**31 assuming q is positive.\nAnswer: q**(-10757\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let z = d + 0.9. Let v = 0.38 - -0.12. Which is the biggest value? (a) -1 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 19 + 46 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -0.7. Let w = u + 2. Let l = -4 + w. What is the third smallest value in 2\/9, 2\/19, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 16*n**2. Let i(o) = 49771*o**2 + 267. Determine i(s(t)).\nAnswer: 12741376*t**4 + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -61. Let r be (0 - -1) + 6\/(-5). Sort r, -3, k.\nAnswer: -3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from ajjt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 1, b: 1, o: 2}. What is prob of picking 1 n and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -2, -0.004, -3, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.44 + -65587592231.\nAnswer: -65587592218.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6452 (base 8) in base 15?\nAnswer: eea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/(y\/y**(-1)))\/(y**0)**(-5\/3) assuming y is positive.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155 - 41?\nAnswer: -40.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.92494 - -24626.25506. Let n = p + -24630.151999325. Let b = -0.028 + n. What is b rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85137*b**3*p**3 + 24*b**3*p + 2*b**2*p**3 + 3*b**2*p**2 - 4*b*p**2 wrt p.\nAnswer: 510822*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2 - 3780*p + 121473 = 0.\nAnswer: 33, 1227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a27a8 (base 11) to base 12.\nAnswer: -45a047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 + 3*v**2 + 2*v**2)*(25 - 25 + 6*v)*(6*v - 3*v + 2*v) in the form h*v**2 + z*v**4 + p + g*v**3 + q*v and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179869 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 147852189.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1721 - 381?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18354 and 2405179?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.73 + -52. Which is the nearest to 0.1? (a) -2\/7 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:57 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 14. Calculate t(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 20.99956. What is p rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l + 35*l + 16*l - 8*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 12) in base 4?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 - 152. Sort -11, 1, h in descending order.\nAnswer: 1, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 * 10.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h + 33. Let i be j(-10). Let q = 52.8 + -34.8. Put 5, q, -0.3, i in increasing order.\nAnswer: -0.3, i, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 38, 76, 134, 218, 334, 488?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.1. Let l be (-138)\/(-207) - (-1 - -2)\/3. Which is the nearest to l? (a) -1 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770810237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4323\/2*d**2 - 3\/2*d**4 - 1944 + 3996*d + 111*d**3 = 0. Calculate d.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -850.76 to the nearest ten.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47326821.\nAnswer: 3, 15775607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16978384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -533 - -3?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*i + 9*i + 48, -3*i + 17842*h - 17841*h - 28 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 2*v - 2. Let t be a(1). Suppose -4*s = -4 - t. Suppose 16 = 2*z + 2*u, s*z + 1 = -3*u + 18. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*7\/49*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020 (base 5) to base 16.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - -1 - (-19 + (59 - 55))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254462885*c**3 + 127231436*c**3 + 127231480*c**3.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/((-1)\/(4\/(-4))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + (9 - (-1488)\/(-108)) and 4\/267?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.9 - -25. Which is the biggest value? (a) y (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 20*d + 2. Let a be o(20). Let h be (-5)\/(a + 3)*(-2 - -2). Solve h*j = 3*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (19 + -10 + 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5643000 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -326 in decreasing order.\nAnswer: 0, -1, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 388242 and 28062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2*i**3\/3 + 21*i**2\/2 + 127*i. Calculate h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337084 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -155526, -155533, -155554, -155595, -155662?\n\"Answer: -f**3 - f**2 + 3*f - 155527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*z - 41260 + 41308, -2*q - 5*z = 72. Let k(u) = -164*u**3 - u**2 - 2*u - 1. Let o be k(-1). Calculate the highest common factor of o and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 80. Solve -b + 6 = -3*f - q*b, -2*b = -6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101914833 is divided by 284.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/((-8)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/b*b**1*b**(-14)\/b**(-1\/4) assuming b is positive.\nAnswer: b**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j + 917. Calculate q(-83).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -16 (c) 0.19 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 12*n - 24. Let v be h(7). Let p(x) = -3*x + 39. Let g be p(26). Is g != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793207063 to the power of 1\/2, to the nearest integer?\nAnswer: 52851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 - 29188*r**4 + 29182*r**3 + 58372*r**2 = 0. Calculate r.\nAnswer: -1, 0, 2, 14593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5913 and 36792?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12714380 is divided by 527.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 38\/5, -1675 in decreasing order.\nAnswer: 38\/5, -1, -1675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -28*d - 216. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 p when four letters picked without replacement from ohpohhhhhhpp?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2. Let v be (0\/2)\/(0 - 1). Let a(w) be the second derivative of 0*w**2 - 4*w + 1\/12*w**4 + 0 + v*w**3. Give m(a(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 109. Let i be 4*-1 - 48*-2. Suppose 5*b + 2*c = -0*b + i, 2*b = -3*c + 39. Calculate the least common multiple of b and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -1 (b) 0 (c) 25 (d) -2\/113 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720 (base 8) to base 16.\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101.9 - 102. Let y be (-1)\/(14\/(-1))*-2. Let i be ((-17)\/102)\/(2\/(-3)). What is the closest to i in y, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40*1\/4)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(-7)\/i)))\/i*i)\/((i\/i**(-2\/3))\/i*i)*i**0*i**(-6))\/((i**(-2\/7))**(-2\/133)*(i**(-1\/4))**14) assuming i is positive.\nAnswer: i**(-67987\/5586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:35 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccllzccccddl. What is prob of picking 1 l and 1 c?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 - p**2 + (-4*p + 3*p - p)*(-1 + 1 - 2*p) - 69*p**2 + 695*p**2 - 237*p**2)*(1 - 2 + 3)*(3 + 0 - 6)*(3 - 6 + 4)*(-3 - 3*p + 3).\nAnswer: 7092*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3120 divided by 780\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = 36*m + 23 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1180*q + 7377. Give r(-6).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 13*s**2 + 13*s + 4. Is z(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 61*l**2 + 2*l + 61*l**2 + 6*l**3 - 2*l**4 to the form t*l + p*l**3 + k*l**4 + v + y*l**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*o - 0*o. Suppose -4*g - 5 = -o. Suppose 9*d - 37*d + 11*d = 48*d. Solve f + 3*l + 12 = d, 2*f + g - 5 = -l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:50 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.381098 hours in seconds?\nAnswer: 26571.9528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*z**3 + 0*z**2 + 0*z**2 - 2*z**2 + 431*z**3 - 3 + 258*z**3 as j + u*z**2 + w*z + l*z**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.9 * -2.\nAnswer: 125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 41 = -5*f. Let d be (4\/6)\/((-1)\/f). Solve -2*t = d*g, 0*t = -3*t - g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -91*h + 5. Let v(t) = 92*t - 4. Let c(d) = -2*o(d) - 3*v(d). Let k be c(-1). Suppose k = 2*r + 38. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 636 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 3.435 (c) -1\/7 (d) 4\/9 (e) -0.66 (f) 5 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let p be ((-400)\/15)\/(-4)*3. Let a(t) = 27*t**2 - 59*t**2 + 33*t**2 - p. Calculate q(a(w)).\nAnswer: -2*w**4 + 80*w**2 - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.89, -58, -3, 4\/55 in decreasing order.\nAnswer: 17.89, 4\/55, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 3*r**3\/2 - 421*r**2\/2 + 2*r - 2311. Determine p(47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6052 - -1204328\/199. Is 1 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35381844 divided by 6?\nAnswer: -5896974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2736)\/(-54))\/(((-160)\/12)\/4))\/(-2).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128015*l**4 - 10*l**2 - 239*l + 8?\nAnswer: 3072360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54534499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -36.1, 5, -6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -5*n**2\/2 + 3*n - 25. Give f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 12409 + 10122 - 22529.\nAnswer: 10*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -281, -965, -2297, -4493, -7769, -12341, -18425?\nAnswer: -26237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (475\/(-50) + 14)\/((-2)\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 195 = 5*m. Let h(d) = 39 - m - 2*d. Let y(z) = 3*z. What is y(h(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263898865, -263898869, -263898875, -263898883, -263898893, -263898905, -263898919?\nAnswer: -263898935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*k + 30 = 0, -5*b - k + 2*k = 58. Let j = b + 15. Sort j, 2, -2 in descending order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 6:25 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - m + 2)*(1 - 1 - m**2) - 1 + 2*m**3 - 2*m**3 + m**3 - 1048*m + 4*m**3 + 1805*m + 1651*m in the form c*m**3 + j*m + i + z*m**2 and give j.\nAnswer: 2408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15377 + -8209. Is 32 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*h)*(h**2 - h**2 - h**2) + 16*h**3 - 3*h**2 + 3*h**2 as s*h**3 + q + r*h + l*h**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -1*(3 + 0 + -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196220646 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -309 + 308.99996. Round h to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48773304 and 3838.\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-785)\/(-15)*6 - (7 - 3). What is the highest common divisor of 124 and w?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58.1*0.6\nAnswer: 34.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*m = 49, 5*h + 1 = 5*m + 56. What is the remainder when 77 - (-5 + h)*3\/9 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 + 2848*l**4 - 8448*l**3 - 42472*l**2 - 48188*l - 17016 = 0. Calculate l.\nAnswer: -1, 6, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29738100?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 126 + 94 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 234386699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696167 is divided by 9800?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h - 27. Determine p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 12*s - 29*s. Do s and -39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j - 5 = 0, -2*n - 4*j = 0. Suppose -3*p = p + n*a - 16, -a = -2. Suppose -7 - 5 = -4*w. Solve y + y - 19 = -p*l, l - w*y + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83575131 - 83575131 + 126*d**2 - 157*d**2.\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11547 + -1647944.05.\nAnswer: -1659491.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 32. Let u(j) = j + 3. Calculate -2*n(t) + 24*u(t).\nAnswer: 16*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n + 3. Let d be o(-6). Suppose 7 = w - v, d*v - 2 = w - 13. Suppose -2 = 2*k + b, 3*b + 9 = -6*k + 3*k. Solve k = q + w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/8854 and -77\/10?\nAnswer: 44270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -458*q**2*x**3 + 4*q**2 + 3499*q*x**3 - 83771*x**2 wrt x?\nAnswer: -2748*q**2 + 20994*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 27*f**2 - 33*f + 33. Let a(h) = -h**2 + h - 1. Let u(k) = 198*a(k) + 6*w(k). Let x(y) be the first derivative of -y**2\/2 - 5. What is x(u(i))?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84736780 rounded to the nearest 10000?\nAnswer: 84740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6, 121, -0.5, -3, -2\/11, -4\/611?\nAnswer: -4\/611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 8*j**3 + 3*j - 2*j**2 - 9*j**4 + 12*j**3 + 2 + 7*j**3 + 7*j**4 to d*j**3 + u*j**4 + h*j**2 + t + v*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5032116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/95*-1*(-45)\/(-108)*4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - d - 179 = 0, -114 = 4*n - 2*d + 118. Let v(r) = -r**2 - r + 93. Let i be v(0). Let u = i + n. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27558 = 3*p + 18*g - 13*g, -5*p = -5*g - 45970. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o = 44*o - 24*o - 372 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -76 and -0.001.\nAnswer: -76.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/17)))**(15\/4)*(h\/(h*h\/(h**(-1\/13)\/h)))**(-3\/23) assuming h is positive.\nAnswer: h**(-1731\/10166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -15, 13, 53, 105, 169, 245?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/5 + 5*k**3\/6 - 119*k**2 + 345*k. Differentiate c(q) wrt q.\nAnswer: -12*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*t - 33, 3*t = -27*f + 22*f - 19. Is f bigger than 1.7891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(48*j - 23*j - 29*j)*(2*j + 2 - 2) as h*j**2 + x + r*j and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3249\/5 - 3577\/15. Let q = z + -408. Calculate the common denominator of q and -44\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3. Let p(s) = -2*s**3 + 6*s**2 - 5*s + 3. Let h(i) = -b(i) - p(i). Let w be h(5). Let l be (-3 - w - 661) + 1. Round l to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -941 + -1203?\nAnswer: -1b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*u + 5, 0 = -0*r - 2*r - 2*u + 4. Let t be (-167)\/r + 4\/(-6). Suppose x = -4*x + t. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11833776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 = g - 2*g, 5*g + 3*k + 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-38)*118788\/(-5210).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 4. Let l be c(15). Suppose x - l = 3*w + 30, 3*x - w - 155 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from kkbkkkkkbk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86.528 + -0.028. Let y = c + -86. What is the third smallest value in 4, y, 2\/3, -0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76458885 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 52*g**3 + 3*g**2 - 6*g - 5. Let o(p) = -52*p**3 - 4*p**2 + 8*p + 6. Give 3*o(f) + 4*z(f).\nAnswer: 52*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-3) + -3)\/((-119)\/(-663)). Let m be (2\/(-5))\/((-3)\/15). Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 391, 622, 957, 1402, 1963, 2646, 3457?\nAnswer: 4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d + 11. Let k(o) = 6*o + 7. Let u(t) = -8*k(t) + 5*r(t). Let j be u(-2). Suppose 135 = j*w - x, x - 27 = 3*w - 110. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Let b(x) = 4 + 16*x - 3*x - f + x. Let l(s) = s. Suppose 67 = -4*g + 19. Calculate g*l(t) + b(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.8 + -8.800055. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + -4*sqrt(196))\/((sqrt(12) + sqrt(768))\/sqrt(6)) + 3)*-3.\nAnswer: -9 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 24?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 3*b**3 - 2\/3*b**4 - 9\/5*b**5 + 0 + 2\/15*b**6 - 43*b + 3\/7*b**7 + 2*b**2. Suppose u(t) = 0. Calculate t.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 81395.\nAnswer: -4\/81395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 6*a**2 + 2*a + 1. Let v(j) = 2*j**3 - 5*j**2 + 7*j - 12. Let d(n) = -3*g(n) + v(n). Determine d(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 20*s**2 - 8*s - 16. Let i be o(7). What is the units digit of 3*(-3 + i\/(-9) - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-3 - 9\/(-3)). Suppose -11 = -7*n + 3*n - 3*q, -q = 5*n - 11. Sort n, x, 4.\nAnswer: x, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 6, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304201393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = -d + 48. Let a(b) be the first derivative of 1\/9*b**d - 1 + 0*b - 1\/6*b**2. Factor a(u).\nAnswer: u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f - 4. Let t(c) be the second derivative of -c**5\/20 - c**4\/6 + 2*c**3\/3 + 2*c**2 + c. Let v be t(-3). Let z = -4 - v. Give o(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-24)\/(d**(3\/4)\/d) assuming d is positive.\nAnswer: d**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168963509?\nAnswer: 3, 7, 55664929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*f**3 - 49*f**3 + 104*f**3)*(-18*f**2 - 14 + 14).\nAnswer: -252*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 - 203. Let c = 13\/14 - 3\/7. Are c and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 72773*v**4\/5 - 143038*v**3\/5 + 67761*v**2\/5 + 500*v + 4\/5 = 0. Calculate v.\nAnswer: -2\/61, -2\/1193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283636 is divided by 1051?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 1. Suppose 0 = -70*f + 65*f + 55. Suppose f*n - j = 21. Solve 4*t = t + n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68917477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47140441, 47140443, 47140445, 47140447?\n\"Answer: 2*f + 47140439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.05828 months in decades?\nAnswer: 0.333819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 38 = 0. Let h = l - 16. Suppose j = k + 4*k + 7, 0 = 3*k - j + h. Put 3, -1, k in increasing order.\nAnswer: k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 5*a**4\/12 - 203*a**2. Let f(q) = 35*q**2 + 2*q. Calculate f(v(c)).\nAnswer: 3500*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895406.\nAnswer: 2, 447703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3425 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -3. Let h = m + -23. Let n = h + 74.0063. What is n rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2329892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 b when three letters picked without replacement from {s: 2, b: 4, u: 5, a: 7, m: 2}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69123 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*w = 3*w + 6, 4*l = -3*w + 22. Suppose -4*n - 158 = 2*m, -n + l*m - 47 = 3*m. Let v be ((-18)\/48)\/(n\/4). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32421 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 4*x - 49. Let j(u) = u**2 + u - 16. Let s(v) = 2*a(v) - 7*j(v). Let t = 77 + -73. Suppose -q = t*q - 4*q. Determine s(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 7}. What is prob of sequence ppw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 3*w + 1281. Let x = w - -50. What are the prime factors of x?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -0.5 (c) -2\/15 (d) -1 (e) 2.2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p = 8155 + 2185. Is p greater than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 239 = 5*z + 9068, z - 12371 = -4*g. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6682, 6694, 6706, 6718, 6730, 6742?\n\"Answer: 12*h + 6670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*k = -18, 0 = k - 6*k - 10. Let l = 9 - w. Suppose -4*s + l = -5*j, s = -3*s - 4*j + 40. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.584 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39 and -27?\nAnswer: -10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/17)*j*j**(-4))\/(j\/j**(2\/3))**(1\/6) assuming j is positive.\nAnswer: j**(-287\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -47. Which is the second smallest value? (a) z (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-3)\/1 - -2). Suppose t*y = 6 - 1. What is the units digit of (0 + (-3 - -12))*y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, 0, 7, 4.\nAnswer: -25, 0, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert d05b (base 15) to base 6.\nAnswer: 535305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**3\/6 + 2*i**2 - 3*i. Let u be 20\/(-6) - (-1)\/3. What is j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3618*d**2 - 7279*d**2 - 1940*d**3 - 1938*d**3 + 3661*d**2 + 3873*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 4*a**2 - a**2 + (4*a**2 + 3*a**2 - 5*a**2)*(-6 + 2 - 3) - 426 - a**2 + 426 + 10*a.\nAnswer: -13*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000278481 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25516983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*z + g, z + g = -g + 6. Let u be ((-21)\/z + (-55)\/(-2))\/2. What is the biggest value in u, 6, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30745 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1489 = 9*k - 293. Suppose k = -21*p + 24*p. Is 37 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*q - 4*q - 3, q = -p. What is the first derivative of q + 5*k - 3*k - k wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 897 + -2044. Is n <= -1142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 1188 = 6*n. Suppose -13*y - 228 = -5*p - 10*y, p + y - n = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:40 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 60, 128, 250, 444?\n\"Answer: 3*s**3 + 11*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:29 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6))**(-27)*z**(10\/9)\/(z\/(z\/(z**(-1\/12)\/z))) assuming z is positive.\nAnswer: z**(-6725\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11526 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11)*31625\/(-11500)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2818382\/(-63) + 4\/18. Let i be 150542\/x - 5\/(-15). Let c = i + 1\/1864. Calculate the common denominator of c and 17\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 69*f**2 - 281*f + 447. Give j(73).\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 9524046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5 + (-154)\/(-55) - 162)\/(-29 + 31).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/26*-14*2\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/7 and 26\/3839?\nAnswer: 26873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197271, -197267, -197263?\nAnswer: -197259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 2*j + 31. Let i be g(-7). Let t be (i\/(-16))\/((-8)\/(-416)). Let l(m) = 3*m - 37. Let r be l(t). Solve -3*k - 2 = 1, r*f + 3*k + 11 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5102*r - 178575. Give q(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000606066458 rounded to 7 dps?\nAnswer: 0.0006061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(140) - ((sqrt(140) - ((sqrt(140) - sqrt(140)*2) + sqrt(140))) + sqrt(140)))\/sqrt(4))*-4)\/(-6*sqrt(7)*-3 + (sqrt(7) - sqrt(175)*-4)).\nAnswer: -8*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30786\/8437 - -128\/649. What is o in -590\/13*o**4 + m*o**5 + 448\/13*o**3 + 0*o - 88\/13*o**2 + 0 = 0?\nAnswer: 0, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/4 + f**3\/2 - f. Determine n, given that t(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-8))\/((-2)\/(-8)). Is 3*(55\/k)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 53. Let q be (0 - -47)\/(5 + (d - 4)). Suppose -q*p = -51*p. Solve p = -3*s + 5 + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297 less than -60.462932?\nAnswer: -1357.462932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -18, -42, -96, -192, -342, -558?\n\"Answer: -2*s**3 + 3*s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0 - 4 - y + 2 + 3. Let o be -1*(1 + 0)*2. Let n(w) = -w - 1. Calculate o*u(d) - 2*n(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttu when four letters picked without replacement from utuuuutttu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082999 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, i: 8}. Give prob of picking 1 i and 3 v.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 3*d**2 + 5*d**2)*(d**2 - 5*d**2 + 2*d**2 + (-2*d + 0*d + d)*(4*d - 2*d - 8*d)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rvrvrrrrrrrvvrrv.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 47*i**4\/2 - 4*i**3\/3 - 4*i**2 + 10*i - 1. Let h be z(7). What is h rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*x - 1, 2*x = -2*c + 6 - 2. Let m = 0 + c. What is the derivative of -j - 2 + m*j - 1 wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 35 = -4*u, 7*u - 2*u - 3*k - 16 = 0. Let m = 27 - u. Suppose 4*z + 1760 = 14*z. What is the greatest common divisor of z and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 + 13 = 3*s, -3*y - 3 = -3*s. Let m(w) = -2*w**2 + 2*w + 2. Let j be m(2). What is the closest to -2\/7 in j, -4, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5737 or -17210\/3?\nAnswer: -5737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + -4 - (sqrt(5) + (sqrt(5) - (sqrt(25)\/sqrt(5) + 1))) - (-1*sqrt(2205))\/(1*sqrt(729)))**2.\nAnswer: -70*sqrt(5)\/9 + 2270\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34568, -139596, -314686, -559874, -875196, -1260688?\n\"Answer: -6*g**3 - 34995*g**2 - g + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11606605 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: Sum -125361 and 43193306.\nAnswer: 43067945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 408708?\nAnswer: 204354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, i: 2}. Give prob of sequence jjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 - 4*c**2 - 4. Let x(a) = a**3 - a**2 - 1. Suppose 49*j - 2 = 47*j. Calculate j*l(m) - 4*x(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p + 96*p = -1886031. Suppose -243131 + p = 14*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 21*r + 7. Let w be l(-5). What is the tens digit of 313 + (-6)\/(w + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5205 and 0.1.\nAnswer: -520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:52 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 6:32 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -5\/14*j**4 - 14*j + 3\/140*j**5 - 12*j**2 - 26\/7*j**3 + 0. Factor p(z).\nAnswer: 3*(z - 14)*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 9*l = -2*l + 144*l + 2288 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/12*i**4 - 1\/60*i**5 + 0*i**3 + 0 - 1\/60*i**6 + 1\/210*i**7 - 2*i**2 + 0*i. Factor m(b).\nAnswer: b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 14 + 265438*z**2 - 265467*z**2 + 2*z**3 in the form x*z**3 + n + j*z**2 + c*z and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -138 + 30 + 189\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 5*p - 9. Let n be a(-4). Suppose n*d + 645 = 2*h, -5*h - d = -993 - 594. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14350 divided by 35\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15 - -14) + 4 - -6) + 10 + -87 + 8.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3365, 3, 5, 141 in ascending order.\nAnswer: -3365, 3, 5, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*a + 2*a = -80, 0 = 5*i + 3*a - 85. Suppose -12 = -8*m + i. Solve -2*d - 10 = -m*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -231*i - 70. Is 17 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-77)*-1*(-4)\/(12\/(-1))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by 2.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187271*w**5 - 60*w**3 - w**2 - 7117589 wrt w?\nAnswer: 11236260*w**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.21 - -361.6405.\nAnswer: 371.8505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1463 + -1456. Solve 3*v = c*v - 3*h - 13, -v - 3*h - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesezlselql. What is prob of picking 3 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 139*l - 139*l + 278*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1, o: 1, p: 1, v: 2}. What is prob of sequence ho?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3675*l**5\/8 - 162855*l**4\/4 - 2566143*l**3\/8 - 544731*l**2\/2 + 3344373*l\/2 - 1037880 = 0.\nAnswer: -80, -186\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 538 and 20.\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 1. Let v(z) = 24*z + 15. Determine v(h) + 9*w(h).\nAnswer: 6*h + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*h**2*y**2 - 12*h**2*y - 4*h*y**2 - y**2 - 40 wrt h?\nAnswer: -10*h*y**2 - 24*h*y - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -22*a - 461. Calculate s(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 25.66.\nAnswer: -128.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -10 + 1\/3*h**2 + 1\/18*h**4 + 0*h + 10\/27*h**3 - 2\/45*h**5. Factor q(x).\nAnswer: -2*x*(x - 3)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cooo when four letters picked without replacement from {b: 1, e: 1, c: 1, h: 1, o: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16414 and 1612.\nAnswer: 1611.83586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*b - 642*b - 18014 = -3065 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7177 - -51?\nAnswer: 7250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213895 is divided by 968?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -97390592*-6\nAnswer: 584343552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-i + 3*i + 0*i)*(6*i + 15*i - 7*i).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((-2 + sqrt(192) + sqrt(192))**2 + -2) + 0 + 2.\nAnswer: -320*sqrt(3) + 3847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 12}. What is prob of picking 3 q?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d - 96*d - 34*d + 3052 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1 - (-102)\/99). Let r(p) = -p**2 + p + 2. Let t be r(-3). Let b be (-110)\/f*6\/t. Solve 4*s = b*l, s - 24 = -4*l - 3*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o - 11*o)*(-2*o**3 - 2*o**2 + 2*o**2).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/(-273) + (4 - 3) + -3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 49. Suppose j + 0*f - f - 28 = 0, 5*j - 160 = -5*f. Calculate the remainder when j is divided by z(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22169, -0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 19*s - 11. Calculate c(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103339 and 13432?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 61*u - 510. What is the hundreds digit of w(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -9*o**4\/4 + o**3 + 5*o**2\/2 - o - 76. Let p(r) = -4*r**3 + r**2 + 2*r - 1. Determine -2*a(u) + 5*p(u).\nAnswer: -2*u**3 - u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gog when three letters picked without replacement from gkogffggugffg.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n + 20. Let w(b) = -b + 4. Let q(m) = -2*f(m) + 11*w(m). Determine q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-180)\/(-27) + 4\/(-6). Suppose -b*r + 29 = 107. Let d be (-7)\/2 - (r + 10). What is the nearest to d in -0.2, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4137606942 rounded to the nearest 1000000?\nAnswer: -4138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2411 + -2021. What is the remainder when n is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1287*r**3 - 6*r**2 + 10*r - 1. Is a(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134 + 134.1. Suppose 10 = -4*i - i. Which is the closest to x? (a) i (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21103210 (base 4) to base 9.\nAnswer: -57251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1281 + -1280.6. Let t be (-3)\/3 + (-803)\/(-7). Let v = -114 + t. Sort r, 2, v.\nAnswer: v, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*f + 8*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g - 3*g)*(3 - 3 + 1) - 91 + 182 - 594*g - 91.\nAnswer: -596*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 184*y**2 + 2*y + 2. Let g be v(-1). Suppose g = m + 8. Does 43 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {j: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/((-1368)\/64) - (-5)\/30\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 51*d - 580. Calculate t(21).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56265, 56266, 56267, 56268, 56269?\n\"Answer: s + 56264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 27 + 13. Suppose -v = z - 3*z. Let k(d) = 2*d**2 - 6*d - 7. List the prime factors of k(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580974 divided by -6.\nAnswer: 96829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 406280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 6. Let c be t(-6). Let a = c - -2. List the prime factors of -1 + (a + 2 - -140).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204290.\nAnswer: 2, 5, 59, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 2*x = -13*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 4, n: 6, p: 1, a: 1, v: 1}. Give prob of sequence pn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -317 in 0.3, 0.1, -0.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 5 (c) -3\/2 (d) 2\/23 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 7*s - 10 + 2*s + 6*s**2 - 7. Let n(h) = -16*h**2 + 11*h + 52. Let x(r) = -4*n(r) - 11*o(r). Let u(l) = -3*l. What is u(x(t))?\nAnswer: 6*t**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1991458943 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -34 (b) 2\/495 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 7. Let o be a(-2). Let j(l) = l**2 + 3*l + 6. Give j(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*w + 12 - 3 = -6, -2*w + 1270 = 88*t + 17*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2557799709 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 19*v - 9. Let f be m(1). Suppose 13 + 27 = f*n. Suppose 3*s = -n*l + 283 + 60, 3*s = l + 353. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 399 + -376. Solve -4*k + 11 = b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**9\/56 + 9*v**5\/20 + 29*v**2\/2 - 17. Let z(d) be the second derivative of g(d). Find the third derivative of z(h) wrt h.\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Suppose -3*v - 14 - 3 = -2*w, 4*v = -3*w - 34. Let r(i) = -i**2 - 11*i - 10. Let d be r(v). Calculate the highest common divisor of b and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/480 and 71\/15168?\nAnswer: 75840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Suppose 2*g = -3*l + 783 + 535, 4*l = g + 1750. Suppose 424 = 7*z + l. Let r(o) = 2*o + 2. Calculate z*m(i) - 2*r(i).\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - q = f + 2852856, -5*f - 4*q - 4754774 = 0. Round f to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 92454.\nAnswer: 79\/92454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let c(r) = -r. Let m(h) = 4*h**2 - 2*h. Let k(i) = 5*c(i) - m(i). Let d(g) = k(g) + 4*p(g). Find the second derivative of d(n) wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {b: 1, g: 2, f: 2, q: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(325) + 5)**2*3 - -1*sqrt(117)*1).\nAnswer: 153*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27027810574 - t**3 + 27027810574 - t + t - t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 398 = 5*m - 0*m, 3*z - m = -293. Let u = z + 111. Calculate the lowest common multiple of u and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 + 10 + 3\/(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -36. Suppose w = 2*u - 34 - 2. Let f(c) = u*c - 2 + 2 + 0. Let t(m) = m**2. Calculate f(t(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b, -t + 2*b = b - 44. What is the remainder when t is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 + -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5274351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 72\/13 (b) -1\/6 (c) -2\/7 (d) 0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9487 or 1356726\/143?\nAnswer: 1356726\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 = -4*f, f - 5*k + 20 = -2*k. What is the nearest to f in 0, 3\/4, -4, 1.65?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 269.7851 millilitres?\nAnswer: 0.2697851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 21 (b) 0.05 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.231 - 0.831. What is the third smallest value in -5, y, -4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -19*z + 150. What is the tens digit of m(-47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 315 + -155. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**0)\/x))\/x)**(1\/36) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -583400 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19935637, 39871309, 59806981, 79742653?\n\"Answer: 19935672*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -830, -1245, -1658, -2069?\nAnswer: -2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(22) - sqrt(88)\/sqrt(4)) + sqrt(22))*5 - -1*sqrt(2662))\/((-1*sqrt(18)*-2 + sqrt(18))\/(sqrt(9)*1*2)).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -10?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose z + i*z - 268 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 21 = 0. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (33 + -15 - 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 3, 28, 2, 1 in ascending order.\nAnswer: -24, 1, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13181, 26361, 39541?\n\"Answer: 13180*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -5 (c) -4 (d) 37105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2270554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3666430 and -77\/733286.\nAnswer: 3666430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 16) to base 6\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 82*z - 1457. Calculate q(56).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**3 - 1818*p**2 - 269734*p.\nAnswer: -84*p - 3636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 284*c**2\/5 + 2326*c\/5 - 522 = 0. What is c?\nAnswer: -1305\/142, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5139835.\nAnswer: 5, 367, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 39 = 5*x, -16*u = 5*x + 79089 - 79070 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*i - 411 - 191*i + 64*i + 74*i.\nAnswer: i - 411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 3 - (-3)\/1. Let g = -0.05 + -3.95. What is the closest to g in -0.2, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3154.1 - -3154. What is the nearest to 2.88 in g, -4, -1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**4 - 2*v**4 - v**4 + (-16*v**3 - 40*v + 40*v)*(-7*v + 14*v + 23*v + 2) to p*v + d*v**4 + y*v**2 + f + m*v**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11756.949 minutes in hours?\nAnswer: 195.94915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324104 (base 8) in base 6?\nAnswer: 11540244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -563 (base 8) to base 7.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 1010*r - 1014*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 187*z + 583. Calculate v(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1346, 2689, 4046, 5423, 6826, 8261, 9734?\n\"Answer: k**3 + k**2 + 1333*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433733 is divided by 381510?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - w**2 - 3*w - 1 - 4*w**3 + 4*w + 3*w**3. Let s be h(1). Is -178*((-1)\/(-2))\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -619 or -620?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -19*m + 2. Let w(x) = -2*x**2 - 3*x + 3. Let b(p) = -3*p**2 - 4*p + 4. Let i(h) = -3*b(h) + 4*w(h). What is l(i(v))?\nAnswer: -19*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 238871 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -146, -217, -286, -353, -418?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 2}. Give prob of sequence cc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 140\/6*6\/5. Let k = 10 + -7. Suppose -4*q = 5*b - 228 - 126, -b - k*q + 73 = 0. What is the highest common divisor of b and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3506421?\nAnswer: 3, 109, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 225 = -316 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1154831.9000047 - -1154832.7. Let x = -0.11 + 0.91. Let s = x - c. What is s rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s + 2*n - 4564 = 0, -5707 = -5*s - 2*n. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + (-11 + 5 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(65)\/sqrt(5) + -5.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2888)\/(-1083)*113622\/8?\nAnswer: 2, 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.05 + -3. Let h = q - 0.1. Suppose -10*s = -33*s. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m**2 - 9*m - 17. Let o(a) = -1 + 5*a - 9 - 7. Suppose 17*i - 4*i = -22*i. Let j be o(i). Let v(r) = 5*r**2 + 3*r + 6. Determine j*v(p) - 6*t(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0264 to 1 dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose o*u + 2*u = 0. Let p(h) = 6*h**2 + 233*h - 42. Let d be p(-39). Sort 1, u, d.\nAnswer: d, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29412 divided by 2451?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a - 97. What is the remainder when 69 is divided by p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h. Let f(y) = 58*y. What is f(i(k))?\nAnswer: 290*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18422 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1451 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 516407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 10*u - 16. Let t be f(7). Suppose -6*g**5 + 4*g**5 - 4*g**t + g**5 = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/3 + 7*a**2\/2 + 8*a - 5. Suppose -3*b = b - 24. Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -42. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/6*-5. Solve 2*s - 4*s + 16 = -3*k, -h = -s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108797, 2, 190, 4 in descending order.\nAnswer: 190, 4, 2, -108797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 7*s**2 - s + 11947. Is m(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -11. Calculate the common denominator of ((-2)\/5)\/((-8)\/(-66)) and (-2)\/n - (-938)\/(-180).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 32, 48, 64, 80?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*i = -0 - 1, -i = -2. Solve c + 4*c = -o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**2 + 8*w + 1\/3*w**3 - 41. Solve b(d) = 0 for d.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 1 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 64*s - 667. What is q(-28)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567) + sqrt(567) + -3) + 3 - ((sqrt(567) - (1*sqrt(567) + 4)) + -4))**2.\nAnswer: -1512*sqrt(7) + 81697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let u be p(-5). Let j = 14 - u. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 90. Let b(m) = -9*m**2 + 179. Determine 3*b(g) + 5*o(g).\nAnswer: -2*g**2 + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 372. List the prime factors of t.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2346*p**3 + 3425*p**3 - 938*p**3.\nAnswer: 4833*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 28. Let p be h(-8). What is the highest common divisor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 9*s**2. Let i = 369 + -147. Let c = 231 - i. Determine v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 5, p: 2, a: 11}. Give prob of sequence mbb.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.194 - -0.244. What is the smallest value in -5, b, 10, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001110101110 (base 2) in base 8?\nAnswer: -151656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14959 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 4*y + 7. Let o be h(-5). Suppose 4*k + o = 3762. Let w = k - 428. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngpppgjjjgjgjgjp. What is prob of picking 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 25*i - 20*i + 4269, 2*n + 3*i = 2129. What is the remainder when n is divided by 320?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 110103*k**2 - 110106*k**2 - 7 + 7. Let g(q) be the third derivative of -9*q**4\/8 - 6*q**2. Determine x(g(w)).\nAnswer: -2187*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 3*s**2 - 4*s - 4. Let y be k(-2). Let b(f) be the second derivative of f**5\/20 + f**4\/12 - 3*f**2 + 58*f - 1. What is b(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 2*j**2 + 0*j)*(-2*j - 4*j - 3*j) to the form w*j + v*j**2 + o*j**3 + z and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 v when three letters picked without replacement from vzzzzzzhqiixzz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*k + 96 = k, 2*c - k = 44. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z - z)*(-12 - 6 - 5) + (1 - 1 - 1)*(-2 + 2*z + 2) + 0*z - 4*z + 5*z - 5*z + 2*z + 0*z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11911 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: What is 715 minutes before 7:57 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-19762)\/(-123))\/(4\/18). Let r = 1905 - o. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - 0. Let d = -8.2 - s. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:46 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:56 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 13*b**2 - 14*b + 7. What is the units digit of l(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433*v**5 + 83*v wrt v.\nAnswer: -8660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 11. Let x = 19 + o. Solve 6 = -x*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462759 is divided by 487448?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/21 + (-6)\/(-21). Suppose -y*i = 10, -3*i + 115 = 2*j - 0*i. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + (8 - (33 - 43)) - 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3628*u**2 - 572464*u + 120080.\nAnswer: -4*(u + 158)*(907*u - 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 2 + 242*n - 252*n with respect to n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -6.3, 13, -4, 2\/3, -1\/12, 213?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1185, 2262, 3339, 4416, 5493, 6570?\n\"Answer: 1077*x + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0646 minus -1?\nAnswer: 2.0646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -7 + 3. Let i(b) = -b**2 + 6*b + 5. Let f be i(q). Does 10 divide (f - 5)\/((-2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:02 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -445*n**2 + 2*n + 1. Let u(i) = i**2 - i - 7. Let z be u(3). Let c be a(z). Is (c\/4)\/((-4)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29886247 is divided by 2238?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:25 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1852364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {a: 2, e: 5, g: 1, m: 1, q: 1, k: 6}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -80, -4, 1, 154 in decreasing order.\nAnswer: 154, 1, 0, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -123. Let t(l) = -13*l - l - m*l - 13*l. Let x(n) = 4*n - 3. Let i(k) = -11*k + 8. Let a(c) = 3*i(c) + 8*x(c). Calculate a(t(r)).\nAnswer: 37*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -410\/3 - -136. Which is the closest to p? (a) -3\/8 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - 203\/(-28))*(1 + 3). Put 3, o, 4, -3 in increasing order.\nAnswer: -3, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(25)\/sqrt(5))**2*6 - 3*(3 + sqrt(320))**2.\nAnswer: -957 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29\/(-1)*170\/20. Is m < -246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**2\/3 - 412400*t\/3 + 130817680\/3 = 0.\nAnswer: -82796, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 3*s + 3*s)*(-2 + 0 + 1) + (2*s + 5 + 3 - 10)*(0 - 1 + 4)*(-s - s - s) as d*s + x*s**2 + m and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -675*p + 923 - 655*p + 372*p - 828*p - 515*p wrt p.\nAnswer: -2301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 26*z - 118. Let d be 1*2\/(-2)*z. Let s = 140 + d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 4. Sort d, -5, 2, -1.\nAnswer: -5, d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 - -203.2. Round h to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -15, -9, 2 in ascending order.\nAnswer: -15, -9, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 0.01 (c) -2 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**2 - 2*c - 34. Let w = -7 + 5. What is the units digit of z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*1*2 + (sqrt(171) - 3*sqrt(171)*-3))\/(sqrt(99)\/(sqrt(66)\/sqrt(6)) - -2*sqrt(1089)).\nAnswer: 13*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210481475.\nAnswer: 5, 31, 101, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 1. Let p(d) = 5*d + 1. Calculate 4*g(w) - 2*p(w).\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -152, -133, -96, -35, 56, 183?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 36476878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:00 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6163061 (base 7) to base 4\nAnswer: 2310032003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 784\/27633 + 2\/453. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.745 and 18.3.\nAnswer: 7.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76744 is divided by 161?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16208 = 36*p + 16604 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*35\/14.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(3 + (-852)\/288))\/((-10)\/(-3))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -77 + (34 - -71) + -10 + (3 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.6. Let s = -3.6 - z. Let w = s + -1. What is the closest to 0 in w, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 8*r - 10 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8138*b + 80 = 8154*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = -48. Let o be (-3)\/5 + (24\/t)\/(-4). Let v = -19 + 20. Which is the nearest to -1? (a) o (b) -3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j + 8*j - 4*j - 22*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -25*i**4 + 140*i**3 + 235*i**2 + 76*i. Let g(v) = 75*v**4 - 420*v**3 - 705*v**2 - 227*v. Let j(o) = 17*b(o) + 6*g(o). Factor j(w).\nAnswer: 5*w*(w - 7)*(w + 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 226*p - 1738. What is l(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 16) to base 10\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 12*d + 7*d - 31*d + 11*d + 2*d**2 as b*d**2 + p + u*d and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 118*y = -5*y - 2592 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 45. Let c(f) = 18*f**3 + 16*f**2 + 4*f. Let i(b) = -37*b**3 - 32*b**2 - 8*b. Let r(l) = t*i(l) + 13*c(l). Factor r(g).\nAnswer: 4*g*(g + 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389937.\nAnswer: 11, 167, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = 13. Let t = -20 + r. Let h = -4 - t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -128, -295, -550, -905, -1372?\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 - 1 - 1 - 5*j + 2*j - 11*j + 3*j - 3*j + j + (j + 3*j - 3*j)*(2 + 0 + 0))*(0*j**4 + 2*j**4 + j**4).\nAnswer: -36*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/8 + (4 - -2) - 4. Let w be (12\/105)\/((-18)\/(-135)). What is the second biggest value in u, w, -4, -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(272) - (sqrt(272) + 1)*-5) + 1 + 3*(sqrt(272) - sqrt(272)*2)*1) + -2)**2.\nAnswer: 3360*sqrt(17) + 61984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1082*n - 1672 with respect to n.\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1129751870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s**3 - 3*s**2 + 1067*s + 271. Let q(m) = -5*m**3 - m**2 + m + 1. Let c(l) = 3*q(l) - z(l). Differentiate c(t) with respect to t.\nAnswer: 3*t**2 - 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzx when three letters picked without replacement from imzrxzmzz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 15, -2*r - q - 16 = 3*q. Solve r = -c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*b + 373 = 1 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6556 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6991*o + 6990*o + 54745. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u - 56. Let c(v) = 3*v - 16. Let j(t) = 7*c(t) - 2*w(t). Let y(z) = 62*z. Determine 31*j(h) - y(h).\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4) - (-10 + (-4 - -10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -132 (b) -20 (c) 16\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 208606 from 0.271.\nAnswer: -208605.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*r + 79 + 215 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l - 310996 = -460*l. Solve 0 = -117*h + 110 - l for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 73333?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + q**5 + 5*q**4)*(5 - 4 - 2) + 59*q - 59*q + 44*q**5 + (4*q**2 - 7*q**2 + q**2)*(3*q**3 - q**3 - 3*q**3).\nAnswer: 45*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100010001011110 (base 2) to base 7.\nAnswer: 1353460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32*11\/(154\/35). Calculate the greatest common factor of 680 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, -1, -0.5, 1\/56, -2247?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/(r\/r**2)))\/r**(2\/53)*r\/(r**(-6\/5)*r)*r*r\/(r\/(r*((r\/r**23)\/r)\/r)*r*r))**30 assuming r is positive.\nAnswer: r**(-34722\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:40 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -507872470 > -507872470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Suppose 6*s + 3 = 9*s. Let n(b) be the first derivative of -s + 0*b**2 - 1\/3*b**3 + 0*b. Calculate n(k(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 55 - 37. Let u(k) be the first derivative of 0*k**2 - m + 0*k - 1\/8*k**4 - 1\/6*k**3. Factor u(n).\nAnswer: -n**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33101231022 - 1?\nAnswer: -33101231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1539 + -87707\/12312. Let b = -201 - -2811\/14. What is the common denominator of b and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 14 = -4*h, 5*h = -5*y + 201 - 176 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -23. Suppose -n*y + 68*y - 876 = 0. Let p = y - 11. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 7, -1 in decreasing order.\nAnswer: 7, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -51. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y - 6. What is the units digit of (-6)\/(-39) - (1656\/(-52) - y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = 4*c - 1980. What are the prime factors of c?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708932.5 micrograms to nanograms.\nAnswer: 708932500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (130\/80)\/((-2)\/(-8)). Which is bigger: 8 or b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k + 12 = 30*k, 4*u - 4*k - 11784 = 0. Suppose -13*g = -u - 2510. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470984 times -0.1?\nAnswer: 47098.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/2 + 5*k**3 - 4*k**2 - 5*k + 9\/2 = 0. What is k?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -112644.7466+-2.08\nAnswer: -112646.8266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*g + 8, 4*g + 3*f + 4 = 12. Suppose -g*m + 16 = 2*v, 3*m - 3*v - 2*v + 8 = 0. Solve 2*i - 26 = -m*q, -i - 15 = -0*q - 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*v + 349 + 68, -2*v + 422 = 4*i. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 135 = 4*g, 2*g - 5*v + 42 = 123. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 + l**2 + 9. Let w(f) = -f**3 + 4*f**2 - 2. Let i(y) = y**3 - 3*y**2 + 1. Let c(d) = -4*i(d) - 3*w(d). Give -9*c(q) + 2*u(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 812 divided by -406\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**7\/42 - x**6\/10 + x**5\/10 + x**4\/6 - x**3\/2 + x**2\/2 - 9*x. Factor r(c).\nAnswer: (c - 1)**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121293003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24305346 and 299.73.\nAnswer: -24305046.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -14, 0.0181, -2\/7, -0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 10*f - 9*f - 64.\nAnswer: -19*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 2 + 2)*-94. Let w = i + -61. Suppose 5*y - 132 = -3*o, 0 = -4*o + 2*o + 8. What is the smallest common multiple of w and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-14)\/(-7)))\/((-70)\/(-875)*(-10)\/6)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/261846 and -76\/9.\nAnswer: 261846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*g, g + 21 = 2*n - 5. Suppose 3*a - 7 = n. Solve 3*t = t + a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502 (base 6) to base 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 1. Let o be l(2). Let b(f) = 3*f**2 - 3*f - 11. What is the tens digit of b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/(-350))\/((-3)\/(-126)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*w - 61. Let q = w + 250. List the prime factors of q.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-462)\/12) + 156\/(-252).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + k**3 + 4*k**2 - 2*k**2 + 9*k**4 + 2 in the form v + c*k**4 + w*k**3 + s*k + z*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*s + 8, 17*s = 18*s - 4. Suppose -5*p - 30 + 92 = i, -i - 4*p + 58 = t. What is the greatest common divisor of i and 364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Let o be (1269231\/2)\/(-7 - (-367)\/52). Suppose 4*u = -g*m + 8799990, -m - o = -5*u - 0*m. Round u to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71123*u + 75553 wrt u?\nAnswer: 71123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**6\/3 - 8*v**5\/5 - 3*v**4\/2 + 68*v**3\/3 - 52*v**2 + 48*v + 2923. Factor j(r).\nAnswer: 2*(r - 2)**3*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350434 times 25?\nAnswer: 8760850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 17, -50, -145?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -2*k**7\/15 - 3*k**6\/10 + k**5\/3 + 3*k**4\/2 + 4*k**3\/3 + 5*k**2. Find f, given that b(f) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 28 = -29*h. Let a be ((-40)\/(-50))\/(1\/10). Sort a, -3, h, 0.\nAnswer: -3, h, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 127.0153 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.2 - 10. What is the second smallest value in -0.3, j, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 70*k.\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y + 5. Let x be (-5 - (1 - 2))\/1. Let l be -2 - 0 - (x - 2). Does 13 divide a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 2*s**2 + 2*s + 2. Let u be c(-2). Let j(v) = -3*v**3 + v**2 - 4*v - 5. What are the prime factors of j(u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 101742 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 14. Solve 3*l - 7*l + 16 = v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*w, -2*z = 3*w + 105 - 89. Which is the closest to z? (a) -4 (b) -12 (c) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-4))\/((-56)\/((-4032)\/(-3078)))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2567 - 1162. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*c + 39237 - 36546 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i + 3*i**3)*(-36 - 25 - 14) + 2 - 2 - 2*i**3 as y*i**3 + n*i**2 + t*i + v and give y.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 489367 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/12 + 137*n**2. Let j(y) = -y - 115. What is s(j(b))?\nAnswer: -2*b - 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/3 - 1012*a**2\/9 + 38*a + 676\/9 = 0. Calculate a.\nAnswer: -169, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceegckghx. Give prob of picking 1 h and 1 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -59, -17, -1 in decreasing order.\nAnswer: -1, -4, -17, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000032747 to 7 decimal places.\nAnswer: 0.0000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28 - (3 - (3 + -4)). Suppose h = -p - 87. What is the tens digit of 8\/24*(0 + p)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 1598 = 4607. What is the highest common divisor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483\/(-1794)*(-1638)\/294\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 84 + 4 = 0. Let f = -14 + o. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035772945 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/87, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(3) - sqrt(3)) + sqrt(3) + sqrt(27)\/(sqrt(36)\/sqrt(4)).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u + 2 + 17*u - 8*u + 2*u to the form a + r*u and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -102032103120?\nAnswer: 102032103112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (0 + -1 - -3). Suppose -w*v + 25 = -55. What is the lowest common multiple of 2 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 4, -11536\/17, 0.2, 1, -3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**4 - 2720*c**3 + 303225*c**2 + 1962830*c - 5116880 = 0.\nAnswer: -8, 2, 167, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 4.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 0*h**3 + 6 + 3*h + 7*h**3 - 8*h. Let p be (-1)\/(-3) + (-28)\/(-6). Let x(n) = 6*n**3 - 5*n + 5. Calculate p*t(r) - 6*x(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - 8) - (1 + -36 + -14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260 + -408. Let i = 132.5 + y. Let u = i - -16. Which is the closest to 0.1? (a) -26 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 45 = 24*i - 29*i, 3*i + 4*x = 2*x - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 + 17*y + 20. Suppose 12 + 2 = 7*r. Let w(o) = o**2 + 0 - 7 - 8*o**2 + 5*o**r - 6*o. Determine -6*b(p) - 17*w(p).\nAnswer: 4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g + 15, 5*g = -2*n - 37. Let o be 2*((-15)\/n + -1). Sort -4, o, 4, -3 in ascending order.\nAnswer: -4, -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 - -5. Let g = n + -0.2. Let q = 0.15 - 0.05. Which is the third biggest value? (a) g (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 3*w**4\/8 + w**3\/3 - 4*w**2 + 16. Give l(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(825)*-1*-1)\/((sqrt(243) - sqrt(243)*-2)*-4))**2.\nAnswer: 275\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:02 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*j**3 + j - j - 47*j**3.\nAnswer: 33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(136)*2 + sqrt(136))\/sqrt(4)*-2)\/((sqrt(6)*-1)\/sqrt(3) + (sqrt(24)\/sqrt(3))\/sqrt(4) + sqrt(2)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 3 (b) 4.9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22406, 44806, 67206, 89606?\n\"Answer: 22400*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-35)*2*15*(-1)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + 8.84. Let r = d - 8.9. Let y = -4 - -6. Which is smaller: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15869\/483650 + -18\/569. Let x = p + -4421\/850. Calculate the common denominator of 63\/110 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31981080 a multiple of 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - a**2 - 3*a**2)*(-8 + 9 + 14)*(4*a**2 - a**2 - 6*a**2) to the form u + g*a**2 + c*a + y*a**3 + o*a**4 and give o.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14673781 is divided by 232915.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1936295476*j**3 - 1936295450*j**3 + 3872590960*j**3.\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 4*l + 11. Let h be w(8). Let j = h + 87. Determine y so that -2*y**2 - 3*y**2 + 3*y - 23*y + y**j = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11 and 27\/187946.\nAnswer: 187946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*z - 12*z. Let t(v) = 4*v**2 + 2*v - 4. Let l(r) = r**2 - r - 1. Let w(s) = z*t(s) + 3*l(s). Let y be w(-4). Solve 0 = -y*m + 6*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 19. Solve v*c + 0*t = -t - 2, 0 = -3*c + 5*t - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/12*3\/2. Suppose i = -k*i + 528. Let o = -64 + i. Is 2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62883*k + 62883*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/11)*t**17)**(-22))**43)**(-6) assuming t is positive.\nAnswer: t**97524","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 12*r - 9. Let o be n(-11). Factor 12 + 11*b + 3*b**2 - 5*b**o + 6*b**2 - 27*b.\nAnswer: 4*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -4 (c) 4\/3 (d) 0.067 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26060 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -22120535 and -22120518 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 101.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/355 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b*b**(-1))\/(b\/(b\/(b\/(b*(b*(b**2*b)\/b)\/b))))**(-1\/18))**(22\/9) assuming b is positive.\nAnswer: b**(-352\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004936 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 8. Let v(u) be the third derivative of -u**4\/24 - 2*u**3\/3 - 184*u**2 - 2*u. Give -6*q(k) + 13*v(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 4 + 3*i - 5 + 0*i. Let b be s(4). Let l be (4 - 4)*1\/(-2). Solve -5*z = -4*v + 10 + 3, l = 3*z - b*v + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001110 (base 2) to base 11\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8408079.\nAnswer: 3, 53, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 2*k + 6. Let a be v(0). Find the third derivative of 6*h**6 + 6*h**2 - 3*h**a + 2*h**6 wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23383 or -23394?\nAnswer: -23383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 5*c)*((-5 + 7 + 9)*(-1 + 1 - c) - 3 - 2*c + 3 + c + 3*c - c + c + 1 + 2*c - 4*c + 0 - 2*c + 0 + (2 - 1 + 0)*(-2*c + c + 0*c))*(c - c + 2*c).\nAnswer: 28*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4732801, 9465602, 14198403?\n\"Answer: 4732801*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1883 and -362?\nAnswer: 362.1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/7 (b) -3\/185 (c) -7 (d) -0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16, 3, 0.4, -0.83491, -0.06?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 45 = 47. What is the remainder when 90 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(39\/(-21) - -2). Let z be 2\/g + 2324\/98. Suppose 7*r = 102 + z. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2943\/2 - -20593\/14. Let u = 2\/43 + -49\/129. Which is the nearest to -2\/3? (a) u (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4946*m**5 - 11*m**4 - 5*m - 865. Let n(v) = 1649*v**5 + 4*v**4 + 2*v + 289. Let i(p) = 4*g(p) + 11*n(p). Find the second derivative of i(c) wrt c.\nAnswer: -32900*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/7 (b) 2908 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {w: 2, g: 1, a: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53611290 by -5.\nAnswer: 10722258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.058?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*v + 5*v - 4*s, 3*s + 22 = 4*v. Suppose 4*r + 7*k - 536 = 3*k, -4*k - 552 = -v*r. Suppose 5*d - r = d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15082, -15133, -15170, -15193, -15202?\n\"Answer: 7*l**2 - 72*l - 15017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4\/3 - 4162*g**3\/3 + 361226*g**2 - 538720*g\/3 - 540800\/3 = 0. What is g?\nAnswer: -1\/2, 1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.58 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o. Let x be p(0). Suppose x = 3*w - 8*w + 300. Suppose -10*m = -12*m + w. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 110506*v + 23851240.\nAnswer: -2*(v - 55468)*(v + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -740*b**2 - b + 1 + 55*b**2 + 0*b - b - 761*b**2 in the form l*b**2 + j*b + d and give l.\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/3)\/3 - -51. Is 12\/j + (-68)\/(-18) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7970363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 11?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -25. Solve -9 = -7*a + 4*a, 4*r + t*a = -11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5594*c**2*v**2 + c**2*v + c**2 + 75*c*v - 2*v wrt v.\nAnswer: 11188*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let f(o) = o**2 + o + 4. Let a(z) = f(z) - 5*n(z). Let b be a(12). Let u = b + -32. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 332\/14 - 32\/(-112). Solve 4*t + j - o = 0, 4*j + 5 = 5*t - j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-2\/7)\/(z**(-2\/9)*z**(-4)) assuming z is positive.\nAnswer: z**(254\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 49 + 294 = -4*l, -1779 = -5*q + 4*l. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -43 - -7) + (-11 - -25) + (1 - -118).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4432 - -14003134?\nAnswer: 13443202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101010 (base 3) to base 15.\nAnswer: -7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 706 = -n, 5*h = 2*n + 3 + 700. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 9*c**2 - 4*c + 4. Let x be v(8). Let m = 53 - 20. Suppose 3*g = -4*a + 42, 11 = -2*a - g + m. What is the greatest common factor of a and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 1003130302203?\nAnswer: 1003130302233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - (-17 + (-20 - -34) + 26).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 + 8*b**3 - 355.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39056 = 6*p - 45*p - 37652 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -1, -9 in decreasing order.\nAnswer: 10, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*m + 4*b, b = -4*m - 2*b + 60. Let v be ((-9)\/(-5))\/(m\/100). Solve -5*x + 2*x + v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27881, 27936, 28041, 28208, 28449?\nAnswer: 28776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -8810 and -8808 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 30871*l - 44. Determine u(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.55 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8321 and 11932?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110110 - 1101?\nAnswer: -11110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -25*q**3 - 134860*q**2 - 323540*q - 107840 = 0.\nAnswer: -5392, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, -271, -1000, -2127?\n\"Answer: -199*v**2 + 266*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 505, 1041, 1591, 2161, 2757, 3385, 4051?\n\"Answer: t**3 + t**2 + 526*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253580973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-52)\/6)\/(56\/12)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/53, -1\/3, -4, 8 in increasing order.\nAnswer: -4, -1\/3, -3\/53, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 3 - -3) + -1 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 19, p: 1}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603.4904 decades to years.\nAnswer: 6034.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-240)\/(-45)*15\/20. Solve -p*r - 24 = -4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (77 - 0 - -1)) + 107 + -926 + 825?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2)**2 + 3 + (-2*sqrt(76))**2*2.\nAnswer: -8*sqrt(19) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c = 343*c + 87*c + 938. Put c, 0, 5, -83 in decreasing order.\nAnswer: 5, 0, c, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76177740 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16799 - 16799 + 212*z**3.\nAnswer: 212*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*12192\/254\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*b - 1212*b - 2 - 6 + 8.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41747450233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 8*r - 5*r + (-3*r + 1 - 1)*(1 + 0 - 3).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*o**4 - 1695*o**2 + 729101*o wrt o?\nAnswer: 672*o**2 - 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1446 - 2*v + 739 - 6*v**3 + 708 - 18*v**2 + 4*v**4 to k + i*v**3 + q*v**2 + s*v**4 + l*v and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1957\/(-57) - -16) + 22)\/((-209)\/(-2166)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z + 70. Let h(s) = 10*s - 71. Calculate -4*h(f) - 5*y(f).\nAnswer: 5*f - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65392339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(5\/140).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 24*m + 40, 17*r - 3*m - 10 + 0 = 18*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 40, 46, 46?\n\"Answer: -3*m**2 + 21*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/2 + -4 + 28\/(-16 - -30). Let v(p) be the first derivative of 2*p - 1\/2*p**2 + 1. Calculate v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k**3 - 188*k**2 - 48*k + 112. Calculate n(15).\nAnswer: -5783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12474342*m**3 - 2*m**2 + 446*m - 2778 wrt m.\nAnswer: 74846052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 - 98452196*h = 0.\nAnswer: 0, 49226098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/70*10*(-1)\/((-26)\/(-14))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = g + 84 + 52, -5*h - 394 = 3*g. Which is smaller: -1582\/11 or g?\nAnswer: -1582\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 154 - 62?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-2 - (1 + -2)). Let b(l) = -l**2 - 5*l + 2. What is b(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -32. Suppose -t + 12 = 3*t, r*w - 6 = -2*t. What is d in 3\/2*d**3 + w + 6*d - 6*d**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 58848?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10191126 by -682.\nAnswer: 14943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -55. Suppose -4*a + 609 = -r*f, 148 = a - 0*a - 5*f. Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-16 + (-1 - (-8 + 0 + 3))) - 42.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3*1 + 4. What is the second derivative of -9*p**2 + 3*p**2 + 4*p**n + 9*p + 12*p**2 wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12429264 to the power of 1\/2, to the nearest integer?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276446817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*b - 22*b = 74*b + 1566 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 4a097?\nAnswer: -4a094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -14 - -12) + (33 - -1). Find the first derivative of j + 11 + 17 - 65 - y*j wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z - 289. Let w be a(-33). Solve 5*v + 2 = -w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.794 + -0.794. Which is the smallest value? (a) 4 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -22. Let k be 8*(3 + y\/(-4)). Solve -2*o - 27*o**2 - 11*o + 3*o**4 - 23*o**3 - 2 - 10*o**k = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) + (-64)\/(-10). Let m(b) = -b**3 + 10*b**2 - 2*b - 6. Is m(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 + -1586\/9. Put 3, f, 0, -4\/9 in increasing order.\nAnswer: -4\/9, f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - (-298)\/(-798). Let z = d + 8\/19. Let w = -4 + 9. What is the closest to 1\/3 in z, -2\/5, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in -3, 2\/5, 230?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-150))\/(173\/((-335620)\/(-291)))*35\/2.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - -3) + (2 - 10). Solve -6 = -2*z - 10, -4*f = i*z + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 7. Suppose -30 = -4*v - 0*k + k, -4*v - 5*k + 18 = 0. Is i less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/7))**(-25) assuming a is positive.\nAnswer: a**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:43 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -31 - (1 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2078, 0, 2 in descending order.\nAnswer: 2078, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 268*s**3 + 1 + 3*s**2 - 3*s**2 + 264*s**3.\nAnswer: -4*s**3 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8282539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**4\/a*a*a))\/((a*a**(-1\/5))\/a)*(a**(-11))**21 assuming a is positive.\nAnswer: a**(-1179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-312) - 50\/325?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 216.5\nAnswer: -64.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31673 + -31673.3. Let d = -47 + 52.2. Let l = d + -5. Sort b, l, 0.28 in increasing order.\nAnswer: b, l, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1766*a**2 - 151878*a + 173. Determine h(86).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 184703, 369411, 554121, 738833, 923547, 1108263, 1292981?\n\"Answer: l**2 + 184705*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {y: 3, w: 2, q: 10, f: 3, x: 2}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 42 = 6. Let v = l + -7. Factor -v*p - 3*p**4 - 2*p**3 + 5*p + p**4 + 2*p + 2*p**2.\nAnswer: -2*p*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 2 + 2*g + 0*g. Suppose -4*z - 1 = -21. Does 11 divide b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 15. Suppose 25 = 5*a, x*t = t - 4*a + 138. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3356\/199 bigger than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/9 - 1308349*l\/3 - 2616694.\nAnswer: -(l + 6)*(l + 3925041)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4497300 divided by -20\nAnswer: -224865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 + 10\/2. Let s(v) = v**2 - 2*v - 3. Let r be s(p). Suppose 9 = -3*x, o + r*x - 11 = -o. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1206 + 1225. What is the highest common factor of s and 2831?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + 70\/(-40))*(-1 + -3). Suppose -46*o + d*o - 71 = 0. Calculate the remainder when o is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 + 5*t**3\/3 + t**2\/2 - 4*t + 2. Let h be ((-40)\/(-28) - 12\/28)*5. Let f be m(h). Which is smaller: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from quaauaammmamauac?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-266) + (180\/285)\/(-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2112200011121002?\nAnswer: -2112200011121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.2, -205, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.67917 + 0.32083. Let m = -5 + -1. Let s = -1 + 0.5. What is the biggest value in m, s, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1253, 4869, 10897, 19337, 30189, 43453, 59129?\n\"Answer: 1206*w**2 - 2*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-12)\/(-54)). Suppose 5*x + 6 = 3*o, x = y*o - 2*x - 6. Let j(u) = 3 - 2*u**3 + 2*u - 4*u + 0*u**3 + 3*u**o. Calculate j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/15 + (5 - -1))\/((-24)\/(-900)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9783 and 0.0258?\nAnswer: 1.0041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 86102096 divided by 106562\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 + 180706*d**4\/3 + 1361664316*d**3\/3 + 5287587020*d**2 + 9516235646*d\/3 - 4985041798\/3 = 0.\nAnswer: -15053, -11, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772, 1854, 2936?\nAnswer: 4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 + 9*t - 4*t)*(-3 + 3 + 2).\nAnswer: 14*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22943 + -22943.010708. Round m to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 570*i**2 + 288*i**2 + 282*i**2 + 2613*i**3 as d*i**2 + o*i + p + r*i**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -89382 less than or equal to -89382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9) - (-85)\/(-15). Let v be 24\/9 - 2\/c. Solve v*g + 27 = 4*n, 3*g = g + 5*n - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 5. Let s(w) = -4. Let r(i) = 1. Let a(b) = 6*r(b) + s(b). Let v(g) = -5*a(g) + 3*p(g). List the prime factors of v(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5865*p = 5869*p + 40, 5*t - 32 = -7*p for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*(0 + -12). Let q = v - 5. Let m(p) = 18*p - 7. What are the prime factors of m(q)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:04 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 222 = -418. What is the highest common factor of 70 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/40630554 and -25\/1374?\nAnswer: 40630554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) -2\/17 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3+147490815\nAnswer: 147490818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 53*g + 77 = 0. Solve 16 = 3*c + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 16, m: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156 + -625?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11725*v - 5964 = -11867*v for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 29. Let x = o + -29. Let s = 17.9999946 - x. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 - r + 6. Let p be u(8). What is the remainder when p - ((-48)\/2 + 1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9806506, 19613009, 29419510, 39226009, 49032506?\n\"Answer: -q**2 + 9806506*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1141\/30 + 476\/15. What is the common denominator of -56\/9 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.7 + 6. Let o = 23.872 + 0.028. Let j = o + -24. Which is the nearest to 0? (a) z (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*d + d. Let g be (-3999998)\/(-8) - 4\/d. What is g rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 7913924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {f: 3, h: 3, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3498440077.\nAnswer: 11, 318040007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - n + n + (-2 - 1 + 1)*(-1 + 1 + 4*n) + 0*n + n - 5*n + 1 - n - n + 3*n.\nAnswer: -9*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 32 = -q. Let j(z) = -2*z - 2 + 3*z - q*z + 2*z**2 - 2*z. What are the prime factors of j(7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 4440*t**3 = 0 for t.\nAnswer: 0, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 < -58021\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 2*d - 1 + 4*d**2 + 8*d. Let b be (-4)\/(-24) + 106\/12. Let m(q) = 6 - 7*q - 14 + b - 3*q**2. Give -5*h(w) - 4*m(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/5 + 8*i**4\/5 + 23*i**3\/5 + 28*i**2\/5 + 12*i\/5 = 0. Calculate i.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:47 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:18 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.170761 and 5.\nAnswer: 0.853805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1135 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4\/5 - 6*w**3\/5 + 9*w**2\/5 + 24*w\/5 + 12\/5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b0 (base 14) in base 3?\nAnswer: -22112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 + 89 = 0. Let u be (-134)\/10 + 3\/(-5). Let t = u + f. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 - 8*k**2 + 16*k**2 + 2*k + 0*k - 2. Give g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1623*s + 843*s + 725*s.\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43 and -84647.\nAnswer: -36398.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 74. Let v(s) = -4137*s**2 - 3*s + 2071*s**2 + 2076*s**2 + 3*s. Determine v(q(c)).\nAnswer: 10*c**4 + 1480*c**2 + 54760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4. Which is the smallest value? (a) 5 (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/(-51))\/(4\/(-18)). Let x(c) = -5*c - 2 - 3*c + 5*c - t. Is x(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -187*l**3 - 4*l + 188*l**3 - 5 + 6*l**2 - l**2. Let j be m(-3). Solve 5*p = 2*p - 5*h + j, 13 = p + 4*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.4 + -6.6. Let h = j - -15.4. Let g = 15 + -20. Which is the nearest to 2? (a) 0 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1718 = -49*f + 340. Let n be (-1 - (-1 + 1)) + 16. Let z be -1 + n*(1 - 0). What is the greatest common factor of z and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668903509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1052? (a) 1\/4 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wijtiitwjjikjtijjj. What is prob of sequence jwkt?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(612) - (sqrt(68)\/sqrt(4) - sqrt(17))*6 - (-1 + sqrt(68) - (sqrt(17)*-2 + -1))*-5)**2.\nAnswer: 24548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.477. Let b = x + 0.097. Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q, 13*q - 12*q - 4824 = -x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1394 - -2806. Let n = d - 863. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/720 + v**5\/40 + 3*v**4\/16 + v**3 - 6. Let c(j) be the third derivative of n(j). Find l such that c(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14 + 7 + 7 - 0. Suppose y = 19*c - 15*c + x + 6, 0 = 2*c - 5*x + 14. Sort 5, c, -8.\nAnswer: -8, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058583 minus 0.33897731?\nAnswer: -0.28039431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 71640 divided by 7960\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*u + 11*u - u**2 - 5*u**2 - 41*u - 208*u**3 wrt u?\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 + 916*u - 4480 = 0 for u.\nAnswer: 5, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.73 - 3.03. Suppose 0 = -3*z - 4*n - 52, -2*n - 44 = -2*z + 5*z. Let i = z - -169\/14. Which is the second biggest value? (a) 0.5 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 5:49 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-5)\/972)*((-35380)\/(-986))\/(-61). Determine i so that 108*i**2 + 2\/17*i**4 + r*i + 106\/17*i**3 - 11664\/17 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1906?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/(-8))\/((-2)\/8). Suppose -d = -4*x - 17. Let g be 1\/x*(-1 + -5). Calculate the greatest common factor of 66 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 2 - 6*o**3 - 17*o**3.\nAnswer: -23*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -10. Let y be 12\/(-5)*(-425)\/34. What is the highest common factor of y and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 2*y + (y - 3 + 3)*(2 - 3 - 1) - 1 - 2*y + 1 + 2*y + 7 - 7 - 4*y + 3*y - y)*(-294 - 533 + 170 - 439).\nAnswer: 6576*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 344*a**2 - 233*a - 8. Let p(r) = -344*r**2 + 235*r + 10. Let j(x) = 4*p(x) + 5*v(x). Find the second derivative of j(g) wrt g.\nAnswer: 688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251*k + 1248*k = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1460.9 times 69?\nAnswer: -100802.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssos when four letters picked without replacement from ssoossso.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2387 and -64\/2387.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*k + 3. Let f(r) = -r**3 - 3*r**2 - 4*r - 3. Let i be f(k). Suppose n + 5 = -4*m - 10, -3*n = 5*m + 10. What is the smallest value in i, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**2 - l - 1. Let y be g(-1). Let f(q) = 9*q. Let p(h) = 6*h. Give y*p(i) + 5*f(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4289 = 51549. Let t be 1441668\/32 - (65\/8 + (57 - 65)). Let a = t - v. Round a to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3256, 25721, 86694, 205429, 401180?\n\"Answer: 3209*m**3 + 2*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 408028110 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 737, -12, 4, 9, 0 in increasing order.\nAnswer: -12, 0, 4, 9, 737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 13. Let d be 0\/(-1) - (1 + -9). Let f be u(d). Suppose 4*b - b = -3*k + 219, -3*k + 231 = -f*b. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/113002 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*f + 13 = 0, 0*f + 2*f - 7 = 3*q. Let d be (1\/q)\/((-30)\/9). Is -1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(10) + sqrt(70)\/(sqrt(7)*-3))\/sqrt(5)*-2)**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) 4 (b) 0.12 (c) -3\/8 (d) -21 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1383*d + 820. Determine l(1).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 1. Let i(c) be the first derivative of 3*c**2\/2 + 2*c - 372. Determine -4*f(j) - 3*i(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = p - 404 + 55, -3*p - 5*u = -1063. Suppose 0 = 368*o - p*o - 1365. What is the greatest common factor of o and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496125 by 9.\nAnswer: 55125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3070.01 times -227\nAnswer: -696892.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194656408 by 2.\nAnswer: -97328204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*((sqrt(1584) - (4*sqrt(1584)*1 - sqrt(1584)))*-2 + 1) + -3)**2.\nAnswer: -1440*sqrt(11) + 633609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8232?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 21*d + 72. Let y be l(-28). Let w = 409 + y. What are the prime factors of w?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (825\/(-22) + (-47 - -77))*(0 + 12)\/2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -851 * -32690\nAnswer: 27819190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20472 divided by 3412.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.4, -2, -5\/2563, -2\/9, 0.04, -5?\nAnswer: -5\/2563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*j + 65 = -10*p - 356*j, 0 = p - j + 14 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 + 0 + 7*p**2 + 4*p**2 wrt p?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218363?\nAnswer: 218363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 15, 2\/13, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*-4 + (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -5.0418, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -558\/7. Let j = 1.94 - -0.06. Let p = 0 - j. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800329111.\nAnswer: 7, 257189873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 2060493 = -56*i. Let h = i - -1537258. Let l = h - 1193427. Round l to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(15\/((-540)\/(-8)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 64321067277208.\nAnswer: 64321067277207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4120 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 26 - 15 - 11 - 2*m. Let y(s) be the first derivative of -s**3\/3 + 1. Let f(a) = 3*a**2. Let x(n) = -6*f(n) - 17*y(n). What is q(x(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98435 times -20?\nAnswer: -1968700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.392 - 4.308. Let m = 3.7 + x. What is the third biggest value in m, 1\/4, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 9\/5*v**2 - 41\/10*v - 1\/10*v**3 - 156\/5 = 0.\nAnswer: -3, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 29677 times 5\nAnswer: 148385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 20 = 0. Let y(z) be the first derivative of 2*z**2 - 4*z - 1. Let l be y(d). Calculate the highest common divisor of 96 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 16. Solve 5*j + 3*o + 6 = 0, q*j + 2*o = 2*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 118 = 5*q, 4*k + 3*q - 214 = 2*q. Solve -k = -7*b - 68 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4, -110*z + 2 + 2 = -2*g - 119*z + 6 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-8))\/(0 - -1). Suppose -f*o - j = -22, -o + 0*o = 2*j - 9. Sort -5, 3, o, -2\/9 in decreasing order.\nAnswer: o, 3, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - 4*l + 37. Let n(o) = -o**3 + o - 1. What is 2*n(i) + z(i)?\nAnswer: 2*i**3 - 2*i + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4\/5*k**2 + 5120 + 128*k = 0.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5159279 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 34*q + 3. Is x(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 45. What is the lowest common multiple of 39 and -1*((-420)\/(-5))\/d?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 greater than or equal to 13064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 + 715332*u - 74362080 = 0.\nAnswer: 104, 238340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttotttttttoootto. What is prob of sequence oo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 3 + 3 + (-1 - 1 + 0)*(-7*u**2 - 2*u**2 + 0*u**2) + 21*u**2 - 2*u**2 + 11*u**2 + (u - 5*u + u)*(0*u + 0*u - 2*u).\nAnswer: 53*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -15 + 6. Let t = d - -12. What is the remainder when 27 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 10. Let f be k(-7). Let l = 1370 + -1369.6. Which is the closest to f? (a) -0.2 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11157709 to the power of 1\/2, to the nearest integer?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:38 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from rxxxxrrxxxxxxxxxxxxx.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40*-1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {v: 3, e: 15}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*o + 165, 2*o + 3*h + 66 = -h. Let l = -19 - o. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147404 and 16.\nAnswer: 589616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 6*s**2 - 8*s - 7. Let b be j(-5). Suppose -4*r = -3*h - b, h = r - 4*h - 19. Let g be (-14)\/44 + 1\/2. Are g and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 182541?\nAnswer: 182541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126)\/(-49) + (-6)\/(-14). Suppose -m = -3*l - 3. Factor l*s + 0 - 2\/3*s**2.\nAnswer: -2*s**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/963 or -1?\nAnswer: -43\/963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74952 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5576086*t**6*u**3 + 30*t**2*u**3 - 2*t**2*u + 62*u**3 + u**2 + 995*u wrt t.\nAnswer: -669130320*t**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**8\/d)*d*d\/d**(-3\/4)*(d\/((d**(-1)*d*d)\/d))**9 assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - (-38)\/10. Suppose -2*f - 5*c - 17 = 2*f, -i*f - 3*c - 7 = 0. Solve f*k + 4*y + 19 = 7, 2*y = 4*k - 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-2 - -3) - (-54 - -71).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 - 51 = -4*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -847250.87 rounded to the nearest 10000?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0194608083 to four dps.\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 6246?\nAnswer: 243594","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round 7168.491783 to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = 10. Let c be 3 - (3 + (-36)\/p). Let t = 30 + c. Solve 6*u = 3*u - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (30\/24 + 3). Let i = 38\/7 - 100\/21. Which is the nearest to i? (a) -3 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -432*j - 533*j - 736*j + (0*j - 5*j + 3*j)*(-3 + 0 + 2) in the form m + l*j and give l.\nAnswer: -1699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320*-9482.\nAnswer: -3034240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 2*h - 5*h - 4*h + 2*h + h + (4*h + h - 3*h)*(-3 + 1 + 1) - 11*h - 25 + 25 as m + x*h and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 20 = -5*z, a - 30 = 3*z - 42 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1348 = 2932. Let p = l - -12923\/12. Let d = 1\/275 - 5777\/550. Find the common denominator of d and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/292, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*p - z, 262*z - 258*z + 19 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 - 134 = 5*k - p, -3*p = -4*k + 1028. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*z**2 + 6\/11*z**4 - 2\/11*z**5 - 6\/11*z**3 + 0*z + 0.\nAnswer: -2*z**2*(z - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Let l = g - 4.7. Let c be (17 + (-861)\/49)*1*(-2)\/4. What is the closest to l in 2\/5, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21724126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:58 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5 - 98*w - 3 + 12*w - 70*w. Let v be q(-8). What is v rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0105 + -31.0315. Let u = -33 - z. Let n = u - 0.442. What is the second smallest value in -2\/7, 4, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -338613 + 1?\nAnswer: -338612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((368\/28 - 6) + -8)\/(6\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 7 - 8 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4714, 9424, 14136, 18850?\n\"Answer: j**2 + 4707*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -13 + (-4159 - -4229)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 3. Let r(j) = -7*j + 4. Let q(i) = -4*g(i) + 3*r(i). Is q(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391833.\nAnswer: 3, 13, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 1482\/361 - 186\/(-38). Solve 0 = -0*s + 5*s + h*y - 20, y = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1584\/(-45))\/2)\/(1\/(-10)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**5\/5 - 28*z**4\/5 + 12*z**3 - 52*z**2\/5 + 16*z\/5 = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 409 = -91. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7623, 15256, 22897, 30546, 38203, 45868?\n\"Answer: 4*n**2 + 7621*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 26*b**2\/3 + 110*b\/3 + 50.\nAnswer: 2*(b + 3)*(b + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*y + 5, 3*u + 3145 - 3150 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3327 by 4.\nAnswer: -3327\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 3*d + 0*d)*(2 - 2 + d**3) + 5 - 4507*d**4 - 4411*d**4 + 8816*d**4.\nAnswer: -104*d**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116.94 + 117. Let f = 0.06 - 0.1. Let r = f - v. Sort 2, r, -3 in ascending order.\nAnswer: -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/7 - 10*k**4\/7 + 2*k**3 + 2*k**2\/7 - 16*k\/7 + 8\/7 = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266628 a multiple of 479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14853 + 14859. Let b(r) = 10*r - 13. Let x(k) be the second derivative of 7*k**3\/6 - 9*k**2\/2 + k. Let w(t) = -5*b(t) + 7*x(t). What is w(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65494 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1\/(7\/10). Let y(l) = -l**2 - 5*l + 2. Let w be y(-5). Suppose w*t = -t. Which is the closest to t? (a) 5\/3 (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 227915 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-4))\/((-5)\/(-30)). Let b be 18\/(-4)*18\/c. Solve -b*w + 1 - 13 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165840 divided by -12.\nAnswer: -13820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*g = -16, 20*j + 30276*g - 30273*g + 86 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 4*v. Factor -3*r**2 - 3*r - v*r**4 - 6*r**2 - 19*r**3 + 10*r**3.\nAnswer: -3*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23444083 is divided by 296.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by 28?\nAnswer: 139\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.652 + 24.652. Let w = 1 + -0.7. Put z, 0.5, -1, w in ascending order.\nAnswer: -1, w, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-1)\/(-2) - 69\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2341\/12 + 199. Let u = m + -2819\/732. Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 + 190*f**4 - 6715*f**3 + 18300*f**2 = 0.\nAnswer: -61, 0, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147.3142 and 0.3?\nAnswer: -44.19426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 11*q**2 + 19*q - 3. Give j(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 375\/100 - 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7709510339.\nAnswer: 19447, 396437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(15\/(-52))*-15. Suppose g = 4*d + d. Suppose -d + 12 = -4*n. What is the least common multiple of 5 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let p(i) = -o - i + 1 + 6*i. Let x(t) = 16*t - 6. Let d(u) = 10*p(u) - 3*x(u). What is d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 51 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58852 (base 9) to base 5\nAnswer: 2224312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2014 divided by -1.\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/30 + n**4\/6 - 3*n**2. Find b such that f(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 67 = -22. Suppose 0 = 3*o - r, 0 = -4*i - 5*o + 202 + 45. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 2*b**2 + 2*b + 2. Let c(f) = -2*f**3 + 3*f**2 - 2*f - 3. Calculate -4*c(o) - 6*w(o).\nAnswer: 2*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 96 + j + 68 - 233.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 3*b - 113. Let p(z) = -9*z**2 - 5*z - 225. Let h = -78 - -75. Let m(q) = h*p(q) + 7*s(q). Find the first derivative of m(i) wrt i.\nAnswer: -2*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-6)\/(-80))\/(72\/(-60))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r - 5*t = 23, -149 = 2*r - 4*t - 43 - 82 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - 47*s**2 - 49*s + 1216. Give h(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 + 27226*r**2 + 4*r + 41202 wrt r?\nAnswer: -6*r + 54452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*z + 340*z + 741 = 0. Let i = 251 - z. Solve -16 = -r + 5*r + i*t, 2*t - 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 48*i = -10*i - 15*i - 1904 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(5*u - 11*u - u) + 0*u - 6 + 3*u - u in the form m*u + q and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l - 136. Suppose 0 = -4*o - 3*j + 83, 5*j - j + 35 = o. Let f be y(o). Solve -b + f = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1837 - -1845\/7348. What is the nearest to n in 3, -1, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9049349 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.1, -7, 0.9 in decreasing order.\nAnswer: 0.9, 1\/4, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 63 + (-45 - -16) + -14.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -325, -1272, -3475, -7564, -14169, -23920, -37447?\n\"Answer: -105*s**3 + 2*s**2 - 218*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 2, g: 7, y: 8, n: 1}. Give prob of picking 1 n and 1 r.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 16*n - 10. Let p be 202\/(-18) + (-46)\/(-207). Let c be u(p). Calculate the greatest common divisor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllvllvllrvvrvcrr. What is prob of picking 1 c and 2 v?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.211?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.241 + 0.541. Which is the closest to -54? (a) v (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)\/n)**(-38)*n**(-1)\/((n*n\/n**(-9))\/n*n) assuming n is positive.\nAnswer: n**(210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1451.615 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1618 - -0.162445. Round v to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*n - 95, -151 = -7*n + 2*n - 2*m. Calculate the remainder when 1092 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from iipiipiipiiiiiii?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 28 = -0*v + 2*p, -v = -3*p + 8. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 70. Suppose 7*d = -k - 7. Is ((-233)\/(-2))\/(d\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/(-8) - -2*(-7)\/(-56). Sort 7, -2, o in descending order.\nAnswer: 7, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262487113111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-16))\/(((-5100)\/(-4488))\/((-20)\/66))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2891*b - 4928. What is y(1)?\nAnswer: -2037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -269\/11?\nAnswer: -269\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 10}. Give prob of sequence tt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.318 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.0199251 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:32 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279983548*x**4 + 14637*x + 1361 wrt x?\nAnswer: 3359802576*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(0 + 0 + 2*g)*(5 + 1 - 3).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 2*s)*(4*s**2 - s**2 - 2*s**2) - 2*s**3 + 4 - 4 + (-s**2 + 2*s**2 + 0*s**2)*(2*s + s - 4*s) + (2*s**2 - s**2 + 0*s**2)*(-2 + s + 2).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -109361 + 19657. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(3*t - 3*t - t**2).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 17280.\nAnswer: -17282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(1 - (-128)\/12). Let a = 18 + -24. What are the prime factors of (u\/a)\/(-5)*-4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1*(0 + sqrt(3)))**2 - sqrt(21)\/sqrt(28)) + 2).\nAnswer: -5 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 4423831200*x**3 - 4423831209*x**3 - 2*x**2.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t - 5. Suppose 3*u - 2*b = -20, 4*u + 2*b + 9 = 1. Suppose 2*j + q - 43 = 0, 2*q - 8 - 2 = 0. What is the remainder when j is divided by m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1320\/(-11655) - (-286)\/15873?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 707*0.3\nAnswer: 212.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -1\/6 (c) -0.3 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.963889ml?\nAnswer: 0.005963889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2965, -2959, -2949, -2935, -2917, -2895, -2869?\n\"Answer: 2*z**2 - 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338910 and 125710.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 814.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185622*n + 186938*n - 11844 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q\/(q\/q**(1\/4)))*q*q*q*q**(-1\/9)*(q**(-2\/17))**(-23))**(-32) assuming q is positive.\nAnswer: q**(-40856\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scs when three letters picked without replacement from ncs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, x: 6}. What is prob of sequence xx?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 22*t**2 - 15326*t - 5570. What is f(697)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, 91, -5 in descending order.\nAnswer: 214, 91, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s*v**4 - 43*s*v**3 - 4*s + 3*v**5 + 7*v - 2 wrt v.\nAnswer: 96*s*v**2 - 258*s*v + 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/305 in 2\/19, 4, -0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*r + 162, r - 3*r - 5*d - 162 = 0. Let o = r + 119. What is the highest common factor of o and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6797737 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hazkzzaakhyzkrzzzz. Give prob of picking 1 a, 1 z, and 1 k.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4)\/(-8) + 1968 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0834000246 + 0.0834. Round t to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4 - 4)*(5*g + 2*g - 4*g + (5*g - 3*g - 3*g)*(1 - 7 + 4))*(-3 + 2 + 0 + 0 + 1 + 0 + 2 + 0 - 3 - 1 + 2 - 2 + (2 + 0 - 4)*(0 - 1 + 0) + 2 - 2 - 2).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = v, 42*v + 7*v = -3*d + 11*v - 114 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 7:55 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -790368107683 and 23.\nAnswer: -790368107660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 21*x**4 + 282*x**3 - 3369*x**2\/7 + 204*x - 180\/7 = 0?\nAnswer: -15, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 25856*s - 41783296.\nAnswer: -4*(s + 3232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**2 + 7*d + 13. What is i(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5160 = -4*v - 2*k, 3*v - 34*k - 3843 = -31*k. Calculate the remainder when v is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282 (base 14) to base 4\nAnswer: 13322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000006 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*l + 21 = 0, -4*l + 2*l + 14 = 3*s. Factor 0*h**4 - h**3 - h**s + 0*h**4.\nAnswer: -h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/120)\/(1\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 + -40?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.87 - -1.67. Let n = 42 + -43. Sort z, 5, n, -4\/5 in descending order.\nAnswer: 5, z, -4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 825 + -825.5. Sort -8, -0.1, 2, q in decreasing order.\nAnswer: 2, -0.1, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48544.6, -14, -1 in increasing order.\nAnswer: -48544.6, -14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**4 - 7. Let j be (-18)\/15 + (-1)\/(-5). Let z(d) = d**4 + 1. Let r(a) = j*m(a) - 4*z(a). Differentiate r(l) wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4\/5 (b) -0.1 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6189.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -2 - 1) + (248 - 243)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358587293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 2, g: 1, t: 1, q: 1, p: 2}. What is prob of sequence tp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 6*c**3 - c**3 - 3*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1860 + 295*n + 5\/2*n**2.\nAnswer: 5*(n - 6)*(n + 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 3*p**2 - 3*p + 5. Let g be r(2). Put g, -6, 0 in decreasing order.\nAnswer: g, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(1\/6). Suppose -2*a - 2 = -18. Suppose 2*f + 1 = 2*n + 7, n - 9 = -2*f. Solve -f*o = 5*h - p, -2*h + o - a = -0*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/4 - 5721*d**2 + 433815*d\/4 - 388059\/2 = 0. Calculate d.\nAnswer: 2, 17, 7609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1923*b - 1. List the prime factors of i(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -12) + -28 + 2 + 3 + -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13852 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-45) - 6857\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-4) - 2\/8. Suppose 0*l = -l + z. Let g(n) = n**2 - n + 16. Calculate the least common multiple of g(0) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 5, 1, -6 in increasing order.\nAnswer: -6, 1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 106. Solve -3 = -o - a*c, 3*o - 5*c + 13 = -0*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4)*48\/(-5). Suppose 3*k = k + n. Solve 3*b - k = 5*s, -3*s + b - 8 = -b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3*s**4\/4 + s**3\/3 - 889*s**2\/2 + 3479*s + 159. Find the first derivative of j(g) wrt g.\nAnswer: -9*g**2 + 2*g - 889","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.33 - 0.33. Let g be 16\/220*15\/(-6). Let k = 0.14 - 0.14. Which is the fourth smallest value? (a) g (b) 1 (c) k (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -14. Let z(p) = -2*p - 1. What is z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 39. Let t be u(13). Is 49 a factor of 156\/t*(4 + (-670)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -13*f**7\/3 - 8*f**5\/3 - f**3\/6 + 195*f**2 + 2*f. Find the third derivative of s(r) wrt r.\nAnswer: -21840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -38392\nAnswer: 806232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-30))\/(4\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(29\/((-2175)\/(-60)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10983864 divided by -6\nAnswer: 1830644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 40. Let q = -8 - j. Sort q, 8, -1 in decreasing order.\nAnswer: 8, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 511368?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 2. Let o(n) = 3*n**3 + n - 1. Let p be o(1). Suppose -p*y + 0*y = 0. Suppose -3*x + 5*k - 2*k - 18 = y, -5*k + 26 = -3*x. What is m(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*p**3 + 6*p + 3.\nAnswer: 180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -1)*9387\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -13*u**4\/24 - 17*u**3\/3 + u**2 + 9*u. Let p be (-28 - -2*1) + 2. Does 58 divide m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 56 = 10*i. Solve -3*m = 5*j + 2, -i = -4*j + m - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15427122 divided by 3?\nAnswer: 5142374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.774017 nanograms to tonnes.\nAnswer: 0.000000000000006774017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -37. Suppose -2 = -q*v + 16. Suppose -v*j + 396 = 8*j. 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: Calculate the remainder when 815 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 70, 149, 262, 409, 590?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 177, 391, 639, 891, 1117, 1287?\n\"Answer: -5*u**3 + 62*u**2 - u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.029, 1.1, -44 in decreasing order.\nAnswer: 1.1, 0.029, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6319 - -6273.27. Let v = r - -46. Let d = 0.03 + v. Sort -5, 0, d.\nAnswer: -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u. Let g(x) = 2*x**2 - 10*x + 14. Let w be g(0). Suppose 4*h = 5*y + 33, 3*h + w = -7*y + 3*y. Solve 2*r = h, -4*d + 4*r = -u*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 53, 164, 401, 806, 1421, 2288, 3449?\n\"Answer: 7*w**3 - 22*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*7\/91*-3. Factor -2\/13*p**4 + 0 + 0*p + 4\/13*p**3 - c*p**2.\nAnswer: -2*p**2*(p - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2806, 22405, 75604, 179203, 350002, 604801?\nAnswer: 960400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 9*u - 11. Let y be k(-10). Let g(c) = -c**2 - 1. Let l(w) = 55*w**2 + 53. Let h(n) = y*l(n) - 2*g(n). Differentiate h(a) wrt a.\nAnswer: -106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let v be 2\/(1*4)*259\/111. Let x(q) be the second derivative of 0 - 4*q + 0*q**2 + v*q**3. What is c(x(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 + 4*h + 2. Let c be p(4). Suppose m = -w - 4*m - 66, -4*m - 138 = c*w. Let y = -29 - w. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 12:43 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 2, 1325?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 135*l + 2608. Let r be u(-17). Solve 3*i - 2*b = -11, -27*b + r*b = -5*i - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6184, -24601, -55264, -98191, -153400, -220909?\n\"Answer: -3*v**3 - 6105*v**2 - 81*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 19. Let i(b) = -b**3 - 6*b**2 + 7*b + 4. Let y be i(r). Calculate the remainder when (-2)\/y - (-975)\/30 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.27 + -56.35. Round m to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u. Let v(f) = 31*f. Let x be (4\/(-5))\/((-2)\/(-35)*7). Let a(w) = x*v(w) + 5*r(w). Suppose -5*i + 3 = 8. Give a(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 763*q**3 - 11*q**2 + 11*q + 1. Let v be p(3). Suppose 5099 = 3*j - v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u + 3*o - 12, 0 = -4*o + 16. Suppose p - 24 - 88 = u. Calculate the highest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/19 + 994*h**2\/19 + 10140*h\/19.\nAnswer: -2*h*(h - 507)*(h + 10)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.0701, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 636 and 8215?\nAnswer: 98580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42898403213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 54946 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -1023?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 11223.\nAnswer: -44892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21303 (base 5) in base 9?\nAnswer: -1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -356204.7 rounded to the nearest one hundred?\nAnswer: -356200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l + 141 = 174 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7\/3, 28, 6961\/5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734206 is divided by 3399.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 33 = 3*x. Which is the smallest value? (a) 3\/2 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-374)\/(-14) - 10\/(-35). Suppose -r = -4*j - d - 5, 0 = -r + 2*j + 30. Calculate the greatest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from {o: 9, m: 7}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/17)\/(s*s**12))\/(s\/s**(3\/5))**(-2\/107))**(1\/9) assuming s is positive.\nAnswer: s**(-117097\/81855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917 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: Is 85706 >= 85632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - 96. Let t be 3 - 7\/((-35)\/s). Let n = t - -36. Solve -n*d + 1 + 11 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - g + 2)*(-5*g + 23*g - 5*g)*(-1 + 0 + 2).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2) - 0 - -2. Suppose o*z + 0*z = 0. Suppose -2*f + 76 - 24 = z. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1218, 4611, 10304, 18297, 28590, 41183?\n\"Answer: 1150*u**2 - 57*u + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Suppose v = f*v + 36. Let n(l) = -l**3 - 10*l**2 - 9*l + 9. List the prime factors of n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13263544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(128)\/sqrt(4) - sqrt(2)) + 4 + -2 - ((2 + sqrt(68)\/sqrt(4))*6 + (sqrt(17) - (-1 + sqrt(51)\/sqrt(3))) + 4))**2.\nAnswer: 170*sqrt(17) + 6938\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(1\/6)*f)*f*(f**(1\/5)\/f*f)\/f*(f**(3\/7)\/f*f)\/(f\/(f\/f**(-4)*f)) assuming f is positive.\nAnswer: f**(1147\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63818394 divided by -10636399\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3502 times 24.75?\nAnswer: -86674.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -0.1848, 27.9.\nAnswer: -3, -2, -0.1848, 27.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*i - 4*i + 92336 = 0. Calculate the highest common factor of 783 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -122033?\nAnswer: -121423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1612658 to 3 decimal places.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + 1 - 480255\/(-53025).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - u**2 + 28462*u**3 + u**2 - 28408*u**3.\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96184\/144285 + 2\/48095. Determine w so that -4\/7*w**3 - 2\/3*w**2 + 4\/21*w + p*w**4 + 8\/21*w**5 + 0 = 0.\nAnswer: -2, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-4))\/(-1)*(-2)\/(-3). Suppose -4*j - 13 = 4*l + 3, m*j = -3*l - 16. Sort -3\/7, j, -0.4 in increasing order.\nAnswer: j, -3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 16)*(-1 - 2)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a tonne in kilograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1232268 or -1232267?\nAnswer: -1232268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323.73 + -323. Let g = 0.730231 - y. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -165194, -165216, -165240, -165266, -165294, -165324?\n\"Answer: -l**2 - 19*l - 165174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201\/402)\/((-5)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:02 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-32))\/((2\/(-6))\/(1\/(-60)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2080.2 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 + 3 = 0. Suppose -6*r - 3*r + 4257 = k. What is the derivative of r*f**4 + 0 - 1 - 495*f**4 wrt f?\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -135279.513 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = -5 - 64 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*x + 15 - 1, -11 = -5*w + x. Let y(n) = -w*n + 1 + 0*n**2 + n**2 + 0*n**2. Let z(b) = b + 4. Let t be z(-3). Determine y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 23*w - w + 23*w - 2. List the prime factors of h(3).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.024 - -0.022. Let h = 0.102 + a. What is the closest to 1 in -10, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = 4*r + 5*s, -r = 4*s + 10. Put 41, r, -4 in decreasing order.\nAnswer: 41, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, -682, 1, 30, -5 in descending order.\nAnswer: 30, 4, 1, 0, -1, -5, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -0.30764.\nAnswer: -3.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Let o(k) be the second derivative of 2*k**3\/3 + 2*k**2 - 2*k + 7285. Let a = -3 - 15. Calculate a*n(h) + 4*o(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -266, -374, -444, -464, -422, -306, -104?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135848*g**3*z**2 + 8217*g**3*z + 2*g**2*z wrt z.\nAnswer: -271696*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4d8d (base 15) to base 14\nAnswer: -606a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 14321 = 22410. What is the remainder when f is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2\/(-2) - 5). Calculate the remainder when 232\/l + (-4)\/6 is divided by 4\/26 - (-564)\/52 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-3 - -5)\/12). Suppose 0 = 2*s + s - v. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(-23 + 53 - 22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3851 (base 12) to base 15\nAnswer: -1d67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 3*g + 4*g. Let d(j) = -19*j. Let q(u) = 48*u. Let n(z) = -12*d(z) - 5*q(z). Let o(p) = -21*k(p) - 5*n(p). Let l(h) = -h**2. Determine l(o(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16507?\nAnswer: 17, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 27*s + 18. Let l be i(-27). Solve 4*y = -2 + l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96889.\nAnswer: 13, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 3. Let m = x + -13. Calculate the greatest common divisor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23076899 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -1\/20*y**5 - 1\/3*y**3 - 1\/4*y**4 + y - 3\/2*y**2 + 0. Calculate k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2396 - -2396. Let i = 0.31 + -0.01. Let r = i - 0.1. Which is the nearest to k? (a) 4\/7 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/36 + 51\/9. Suppose g = 2 + k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1818 + 2746. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2, 1\/60, 5?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -58.22, 2\/5.\nAnswer: -58.22, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssrrrsssssmr. Give prob of sequence sr.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 77.16619um?\nAnswer: 0.00000007716619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 - 2*j**2 + 1. Suppose 1 - 2 = -z. Let a be c(z). Calculate the common denominator of 17\/20 and (a - 4) + 186\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119009363.\nAnswer: 3, 23, 97, 167191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c**3 + 7*c**2 + 10*c + 5. Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 46 = -5*t, -z + 10 = -0*z + 4*t. Calculate the smallest common multiple of 8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 m when four letters picked without replacement from mmommonnnom.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqxqqqxjqxx. What is prob of picking 3 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 16. Determine t(8).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 23*b. Let i(u) = u**3 + 9*u**2 + 5*u + 5. What is the remainder when i(-7) is divided by w(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161, 622, 1395, 2498, 3949, 5766, 7967, 10570?\n\"Answer: 3*v**3 + 138*v**2 + 26*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 37. What is the tens digit of 2023\/f + (-1)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -115.99. Let q = -0.01 - o. Let y = -2325 + 2326.5. Which is the third smallest value? (a) 2 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.32 - 2.08. Let x = -15.4 - z. Sort -1, -23, -0.3, x in increasing order.\nAnswer: -23, x, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3849 - 3845. Let g(x) = 2*x**2 - x. Let c be g(2). Let b(q) = -q + 7. Let f be b(c). Solve -4 = -u*s, 3*i + 5*s - f = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 207. What are the prime factors of l?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90242 divided by -2.\nAnswer: -45121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011000 + -20210021?\nAnswer: -122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 29*i + 33802 = -596. What is the remainder when i is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*d = -6, 2*j - j + d - 1 = 0. What is the least common multiple of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 2640\/(-21). Calculate the common denominator of 43\/(-60) - 12\/(-300)*-5 and -2 + p\/4 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*s + 1, 0 = s + 5*l + 197 - 174 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utus when four letters picked without replacement from ststsstuusssst.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348053?\nAnswer: 348053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8 + 3 - 9*d - 6. Let t(l) = 14*l - 8. Let i(f) = -8*j(f) - 5*t(f). Let z(n) = 12*n - 1. Calculate i(z(o)).\nAnswer: 24*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -51, -38, -21, 0, 25?\n\"Answer: 2*o**2 + 3*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 - 1770*r - 3560 = 0. Calculate r.\nAnswer: -2, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -17*i + 1. Let s(o) = 8*o - 1. Let y(b) = 6*q(b) + 13*s(b). Calculate the remainder when y(14) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*l**2 + 31*l**2 + 276 - 58*l**2 - 22 - 11*l wrt l.\nAnswer: -4*l - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*i - 11 + 54. Which is the third smallest value? (a) 4 (b) i (c) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - g**2 + 5*g**2)*(-2*g - 4*g + 5*g) - g**3 - 2*g**3 + g**3 + (3*g**2 - 5*g**2 + 3*g**2)*(-g + 4*g - 2*g) - 2*g**3 + 0*g**3 - 2*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*z + 10934 = 14212 - 24704 - 26769 for z.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4127 + -3869. Is o >= 776\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5422170000 rounded to the nearest one million?\nAnswer: -5422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-140)*-14)\/((-6)\/9*-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187 - -37. Let i = l - -149.7. Let w = -9 - -8. Which is the closest to w? (a) -4 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**30\/i)\/i)\/(i**(-2\/43)\/i*i))\/(i**(-14)*i)**25 assuming i is positive.\nAnswer: i**(15224\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5 + 15. Let t(h) = -747 + 1498 + 2*h - 750. Let w(q) = 3*q + 2. Calculate k*w(u) + 5*t(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4\/4 + 2916*y**3 + 2857557*y**2 + 45058464*y + 78710016 = 0. Calculate y.\nAnswer: -1936, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6323 + -6318. Solve 4*s + 3*a = -17, h*s - a + 13 = 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, -36, 0.0229, -4?\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -303073 at most -303076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544.3549mg to grams.\nAnswer: 0.5443549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + -1.5. Suppose -5*h = -4*m + 5*m - 5, 0 = -3*h + 5*m - 25. What is the second biggest value in g, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246432133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*g = -60*g + 3. Suppose 3*u + 6 = 4*r - g, -18 = -5*r - 3*u. Solve -2*b = 0, -2*t - 4 = r*b - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.06 + 0.86. Is -632 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*v + 11*v + 192. Solve -9 = -9*f + v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2472*y + 2*a = 2458*y + 38, 13*a = -4*y - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**4\/4 + 7*n**3\/3 + 9*n**2\/2 - 8*n - 7. Let g be j(8). Factor 3\/2*h**5 + 0*h**4 + 0*h**2 + g + 3\/2*h - 3*h**3.\nAnswer: 3*h*(h - 1)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m, -4*q - 3 = -q - 4*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*p**2 + 12*p**3 - 68*p**2 + 133*p**2.\nAnswer: 12*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*3 + 0\/(-1). Let x(l) = l**3 - 29*l**2 + 2*l - 59. Let m be x(29). Let j be (1 - m)\/(p + 4). Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2183.\nAnswer: -2\/2183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1261 and 0.024.\nAnswer: -30.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4152\/168 - 27 - (-3 + 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(288)\/sqrt(8)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1256580 and -173\/6804?\nAnswer: 79164540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**3\/9 + 796*x**2\/9 - 49468*x\/9 + 303116\/3 = 0.\nAnswer: 33, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n. Let q(t) = 17*t**2 + t. Determine q(j(r)).\nAnswer: 153*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 41*f**2 - 43*f**2 + 29 + f + f + 2 to the form d*f + h*f**2 + z and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/4 - 355539*t**2\/2 - 3555465*t - 17777450 = 0. What is t?\nAnswer: -10, 711098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279242.81 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 564390474 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191140 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 16 + 7. Suppose -22*f = -u*f + 7. What is the remainder when 13 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342318785309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -3287510?\nAnswer: -3\/1643755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 4*k - 13. Let i(z) = -5*z**2 - 5*z - 12. Let v be 3\/(-1) - -2*4. Let c(o) = v*n(o) - 4*i(o). What is the derivative of c(j) wrt j?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675 = w + m, -3*w = -4*w + 3*m + 655. Suppose -5*p = -10*p + w. Let v = -48 + p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-1680)*(-2270)\/681\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 9*w**2 + 5*w + 3. Let k be b(7). Let s = -20 - k. Let r be (9\/(225\/(-160)))\/((-8)\/20). Calculate the greatest common divisor of r and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.31219mm to kilometers.\nAnswer: 0.00009931219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 - 323. Suppose q*y + 220 + 260 = 0. Is y less than or equal to -121\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500708?\nAnswer: 2, 13, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -7) + -1 + (5 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97938975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Expand 882397 - 882397 + 1891*q**2 + (-q**2 + 5*q**2 - 2*q**2)*(-4 - 1 + 3).\nAnswer: 1887*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 14\/29?\nAnswer: 14\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -141*l + 846. What is w(7)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 1. Let y = -13 - -10. Let x = y + 4. What is the units digit of d(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -18. Let a = f - 23. Is (-1*a)\/((-24)\/876) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:42 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a - 12. Let q be v(-7). Is 16 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1)\/sqrt(11) + sqrt(70)\/(sqrt(20)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49152232 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(-12\/13))*f)**(11\/6)\/(f**(-5\/7))**(-4\/13))**(-1\/11) assuming f is positive.\nAnswer: f**(-479\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 58. Let i(o) = 8*o. What is j(i(p))?\nAnswer: -8*p + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.876 (b) -0.2 (c) -3676\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53731 is divided by 112.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 40, 0.\nAnswer: -12, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4903 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*sqrt(104)*-6 - sqrt(104)))\/(sqrt(40)\/(-5*sqrt(500))) + 5.\nAnswer: -1550*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 3 = 4*w. Suppose 34*s = -0*s + 5984. Calculate the highest common factor of s and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10*a + 193 = 4*m, 5*a - 42 = -m. Let k = 98 - m. Let t = -15 + k. Round t to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -0.625472.\nAnswer: -58.168896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-20) - (-132)\/15. Let g = 20 - 14. What is the units digit of g - (y\/(-3) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6243, -11784, -17325?\nAnswer: -22866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15009 - 15029. Let w = -5 - -5.5. Sort 0.3, w, 0.1, j in ascending order.\nAnswer: j, 0.1, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 + 189530*y**3 - 2264614*y**2.\nAnswer: 120*y**2 + 1137180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 149*n + 153*n + 148*n - 444*n + 46. Determine f(-13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t + 19*t - 20*t**3 + (t - 3 + 3)*(3*t**2 - 6*t**2 - 2*t**2))*(1 - 1 + 1)*(3*t + t + 5*t).\nAnswer: -225*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -32*w + 55*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h - 8. Let a be s(7). Let d be (-6)\/(-3 - a - -1). Suppose 2*f - 4 - d = 0. What is the smallest common multiple of f and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**4 - 713*q**3 - 939*q**2 - 114379 wrt q.\nAnswer: 4*q**3 - 2139*q**2 - 1878*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6594 and -125\/36.\nAnswer: 39564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyysdisii. What is prob of sequence syi?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64358131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -1, 6, 13?\n\"Answer: 7*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/18 and -83\/285.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + 124. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33625600 divided by 336256?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 35, 54, 91, 152, 243?\n\"Answer: c**3 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 2*k + k + (-11 - 5 + 9)*(187 - 187 - 90*k).\nAnswer: 629*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-2 - 0 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 + 55*u**2 + 200*u + 140 = 0.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 15396*m**2 + 39506136*m + 33790914992.\nAnswer: 2*(m + 2566)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/(i**(2\/9)*i*i)*i)\/i)**(-6\/5)*(i*((i\/(i\/i**(-1\/5)))\/i)\/i*i)**(-42))**2 assuming i is positive.\nAnswer: i**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 4}. What is prob of sequence goo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -3?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 184 (b) -0.07 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5*(-45)\/18)\/(80\/(-96))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 - 1\/2*o**3 + 19*o**2 + 0*o. Let s(i) = -i + 13. Let b(z) = 1. Let m(f) = 6*b(f) - s(f). Determine -2*m(j) + 5*t(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - ((-749)\/14 + -6). Let y = v + -58. Let u = 3.07 + -0.07. Sort u, -0.3, y, 0.2 in ascending order.\nAnswer: y, -0.3, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 60 - (2 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by -4.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1592*z + 1422*z - 2852*z to the form t + l*z and give l.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170598 is divided by 34116?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -269, -686, -1203, -1820?\n\"Answer: -50*r**2 - 267*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 31 = -25. What is the common denominator of (-62)\/(-298)*(7 + r)\/20 and -36\/11?\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 49802.\nAnswer: 49802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2092934, -2092918, -2092890, -2092844, -2092774, -2092674, -2092538?\nAnswer: -2092360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + d**3 - 27*d**2 + 27*d + 54.\nAnswer: (d - 3)**2*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23b + -4?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23230, -46533, -69838, -93145, -116454?\n\"Answer: -l**2 - 23300*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1331) + sqrt(1331) + -4*sqrt(1331) + 2) + 0.\nAnswer: -66*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299323 divided by 9?\nAnswer: 299323\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiciiiciiciii. Give prob of sequence ii.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 4*u - 2*u)*(-25*u - 13*u - 315*u - 219*u - 88 + 244*u) to the form w*u**2 + c*u + x and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16080155*i**3*v**3 - 10213*i**2*v**3 - 36*i**2*v**2 - 2*i**2 wrt i?\nAnswer: 96480930*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14524*b**4 - 2947?\nAnswer: -58096*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 40 - 75*r**2 + 34 - 143 + 32.\nAnswer: -75*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.5, 428, 34\/15, -3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/40*-4*-5. Suppose 4*c - 2*c + 11 = 5*g, -5*g + c + 13 = 0. Suppose 0 = m - 3*f - 17, g*m - s = f + 9. Put 5, m, -3 in decreasing order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73871178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, 2, -1430, -2.\nAnswer: -1430, -4, -2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:09 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 7*c + 9. Let f(h) = -4*h**2 - 6*h + 10. Let q(k) = -2*f(k) + 3*o(k). Let l be q(-10). What is the units digit of -3 - 14*(1 + l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 11, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*h**3*r**2 - 322*h**3*r - 17*h**3 - 3*h**2*r**2 + 17*h**2*r - h**2 + 8589*h*r**2 + 2*r**2 wrt r.\nAnswer: 10*h**3 - 6*h**2 + 17178*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76134727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {y: 1, e: 5, o: 2, t: 2, q: 6, z: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -2313, 1 in decreasing order.\nAnswer: 6, 1, -3, -2313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22281 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100211 (base 3) to base 12.\nAnswer: 6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6245 (base 16) to base 12\nAnswer: -12685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 9*m - 27*m = 793395000. What is m rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 8*v**2 + 9*v - 5. Let y be n(9). Let g = 0.18 - 0.11. Let q = g - 3.07. Which is the third smallest value? (a) -4 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)\/(-1 - 0). Suppose 4*x + s + 35 = 0, -2*s - 14 = 2*x + 2*s. Let f be (4 - x\/(-3)) + 12\/(-20). What is the closest to f in a, 2\/13, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -238*r - 1575. Is 12 a factor of o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, d: 1, p: 4, e: 2, b: 3}. Give prob of picking 2 e.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -802 less than -808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5 - (-95)\/(-20))*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*-1*(-744)\/93.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.3976812 to 1 decimal place.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 25*s**2 + 16*s - 5. Let l be p(2). Suppose -l*n + 40870 = -117*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -40*n + 112. Determine u(10).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 5*x + 85555, 5*x = 3*h - 51339. Suppose -f + 4*z = h, 0 = -4*f - 4*z + 8872 - 77264. Round f to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -338*z - 2869. What is r(-9)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -0*d - 4*d. Suppose 7*i - 34 - 15 = 0. What is the remainder when d is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(4\/(-24) + 20\/(-600)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 7*i + 5. What is p(8)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-52)\/26 + ((-88)\/2)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and (8 - (-12 + 20)) + (-2 - (-99 - 2)).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 3*h**2 - 3*h - 6. Let i be p(4). Is i greater than 1.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 1. Let h(r) = 15*r + 9. Determine -12*g(m) + h(m).\nAnswer: 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 144540 - 28389236\nAnswer: -28244696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 a, and 1 n when four letters picked without replacement from {n: 8, k: 3, a: 4, u: 1, z: 3}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922386 is divided by 43923.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 0, 132 = 3*g - 90*m + 86*m. Calculate the remainder when 859 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let x(k) be the second derivative of -11*k**3\/6 + 7*k. What is i(x(p))?\nAnswer: -121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1026662*q**3 + 3735*q - 40 wrt q.\nAnswer: 6159972*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8521 = -l - 3*u, 3*l + 3*u + 42605 = -2*l. Let j = -4979 + l. Round j to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-66) + 719\/6. Let y = 116 - x. Is (-2711)\/y - ((-22)\/(-8) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 56.977. Let n = q + 2.023. What is the nearest to 1\/2 in n, -2, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 5*c**2 - 40 - 45 + 50*c**3 + 89. What are the prime factors of z(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**4 - 236473208*v**3 + 709419600*v**2 - 709419592*v + 236473196 = 0.\nAnswer: 1, 59118299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -37. Let g(b) = -b**4 + b**3 - b + 1. Let m(h) = 9*h**4 - 5*h**3 - 6*h**2 - 3*h - 11. Let a(s) = y*g(s) - 2*m(s). Solve a(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 (base 14) in base 15?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Let n(w) = w + 7. Calculate the remainder when 22 is divided by n(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:06 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = n. Suppose b = -n*b - 5. Put 5, b, 8 in ascending order.\nAnswer: b, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 28. Suppose -b = -p - 5, -2 = -p + 3*b + 1. Is q(p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1706649 and 88509.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 + 451. Suppose -5*q + 170 = -q + 2*j, -4*j = 5*q - w. Suppose -6*k + q = -2*k + 3*c, -2*c = -k + 21. Are k and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 15 = 75*t - 74*t, 2*f = -5*t + 3 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 3*i**5\/40 + 17*i**4\/8 + 31*i**3\/4 + 45*i**2\/4 - 40*i - 2. Factor n(w).\nAnswer: 3*(w + 1)**2*(w + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3116381, -3116386, -3116391, -3116396, -3116401?\n\"Answer: -5*d - 3116376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/13*-2*13. Solve -4*v = -w - 11, 4*v - 10 = -0*v + u*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 9 = -4*h, 41*h - 39*h + 5*y = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/116)\/((-3)\/12). Let p = 0.06644 - -3.93356. Let g = 3 - 6. Which is the second smallest value? (a) p (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 355*11\/(-110)*(-4)\/2622 and 65\/6.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -386548.\nAnswer: -5\/386548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7 = -3*u + 27, -5*u + 42 = -3*z. Sort z, 4\/5, -0.3, 32 in decreasing order.\nAnswer: 32, 4\/5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, 8, 0, -1, -6 in descending order.\nAnswer: 8, 0, -1, -6, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 5. Let w(s) = -2*s + 4. Let l = 13 + -16. What is l*j(u) - 4*w(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 1520*s + 9 - 133 + 112 as j*s + u and give j.\nAnswer: -1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60.9 and -1562.\nAnswer: 95125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15444 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*j - 3183 = -4831 - 1104 - 4999 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5677014 divided by 6\nAnswer: -946169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 792\/1452*(-1)\/(-45)*2*(-2475)\/(-75)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from infll. What is prob of sequence in?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = 2541 - 3073 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1045 = 3*r, -5*r + 194 = 2*h - 845. What are the prime factors of h?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/3 - 3*l**2\/2 - 17*l + 2. Let p be f(-4). Solve -p*b + 5 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**8\/1680 + p**6\/180 + p**3\/6 + 6*p**2. Let v(n) be the first derivative of r(n). Find the third derivative of v(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/14 + 4)\/(3\/14). Suppose -x*o = o - 4*f - 13, 3*f = 3*o - 6. Solve 0*d + 5*b = 5*d + o, -d = 3*b - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299\/5 + -181\/3. Let v = i - -49\/120. Let y = 1.7 + 0.3. Put y, -0.2, v in decreasing order.\nAnswer: y, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -201475.\nAnswer: -69\/201475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 201615?\nAnswer: -201620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m**3 - 3*m**2 - m - 119. What is the hundreds digit of c(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugbhobhuvgbbuubhbgho. What is prob of picking 2 h and 2 o?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 11*p**2 + 8*p - 10. Calculate q(-9).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10845*h + 43366. Determine p(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599988 is divided by 3457.\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3\/6 - 6*j**2 + 251*j\/6 - 36 = 0.\nAnswer: 1, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 439647298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 827037 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/13 + 24*x**2\/13 + 450*x\/13 - 1512\/13 = 0. What is x?\nAnswer: -12, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2867 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -5*c - 67. Suppose 0*u + 70 = -4*v - u, 4*u + 28 = -c*v. Let h = v + 46. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 94. Let v = 0.11 + -0.11. Put -2, -5, v, d in ascending order.\nAnswer: -5, -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -36) + 111 + -130 + 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/19, 0.12, -1\/3, 1\/1288?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x)\/x**(2\/3)*(((x\/x**(-4))\/x)\/x)\/((x**5*x)\/x)*(x**(2\/3))**(-20)\/((x*x\/x**(-1\/2))\/x)**(-35) assuming x is positive.\nAnswer: x**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 884?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 21*g = 20*g - 1 - 7, 0 = -4*v - 6*g + 4*g + 62 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67871, -67872, -67873, -67874, -67875, -67876?\n\"Answer: -c - 67870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 15 + 53 + -78\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d + 16. Let y(w) = -20*w - 17. Calculate 7*c(n) + 6*y(n).\nAnswer: -43*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = -5*m + 4, -2*m + 2 = 0. Let t(c) = -6*c + 2. Let a(u) = 27*u - 12. Let b(h) = a(h) + 5*t(h). What is the units digit of b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*l = -17, 13*l - 10*l = -5*d + 17. What is the smallest value in 2\/17, 2, 4\/5, d?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 2}. Give prob of picking 2 o and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + s + 4*s)*(1 - 3*s - 1) + (-28*s + 14*s + 0*s)*(s + 5 - 5).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/184 - 199\/552. Which is the third smallest value? (a) -3\/5 (b) -0.03 (c) i (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:03 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*v + 3*s + 1438, -4*s + 337 = v. Suppose 2*z + 284 = -p - v, -5*z - 3190 = 5*p. Let t be (17 - -3)\/(1\/p). Round t to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*f + 133171 = 1698*f - 52991 for f.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355266 divided by -3?\nAnswer: -118422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1167 + -1146. Solve -9*h - 36 = -a*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 0 = -2*q + q + 2*w, 289 = -95*q + 56*w - 60*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/34424 and 71\/116181.\nAnswer: 929448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 1490328*j + 4471011.\nAnswer: -3*(j - 3)*(j + 496779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = -1. Let j be (2 - -2) + 2\/(-1). Suppose -j*c + 14 = 2*o, 3*c - 19 = -4. Calculate the greatest common factor of i and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 28, -11 in increasing order.\nAnswer: -11, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*653.\nAnswer: -52.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(13)*6 - sqrt(13) - sqrt(26)\/sqrt(2)*-6) + -4.\nAnswer: -13*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 10 - 20 - 7 + y**2 - 2*y**2.\nAnswer: -y**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/5)\/((-15)\/(-50)). Let j = 17 - u. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -817, -1595, -2375, -3157, -3941, -4727, -5515?\nAnswer: -6305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q + 12. Let y be (5\/q - -2)*-4. Let n(j) = 2*j - 63. Let v be n(29). Sort v, y, -4 in descending order.\nAnswer: y, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03883968 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10754 - 376456\/35. Let y = 16\/7 + a. Factor 1\/5 + 1\/5*p**2 + y*p.\nAnswer: (p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 2:18 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 64. Calculate the greatest common factor of r and 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -29 + -6 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/3360 + 11*v**5\/60 - 5*v**2. Let z(l) be the third derivative of p(l). Let g(i) = 5*i**2. Determine g(z(f)).\nAnswer: 180*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from yyyoyylpypypylyyyyy.\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 896 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a6 + 3?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 8*t + 4*t)*(3 - 2 - 3)*(7*t + 6*t + 6*t - 1).\nAnswer: 418*t**2 - 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -116. What is the remainder when 60 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1732 + 10762. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062841737 rounded to 4 decimal places?\nAnswer: 0.0628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n + 3. Let f be s(0). Find the second derivative of f*o - 8*o**5 + 7*o**5 + 0*o**5 wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 + 55 = 51*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**7\/21 + a**6\/15 - 2*a + 2. Let l(i) be the first derivative of b(i). Factor l(z).\nAnswer: -2*z**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140725 is divided by 3854?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 32*r**2 - 91*r + 125. Let y be g(29). Solve -y*q + 11 + 16 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8381610667?\nAnswer: 13967, 600101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 48*g**4 + 4 - 2 - 3*g**4 + 0*g**4 + 3*g**4 in the form j + n*g**4 + d*g + i*g**3 + v*g**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416451.\nAnswer: 557, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29286 = -1021*k + 64000 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 161*q**2 - 2*q**3 - 1 + 685*q**2 + q**3.\nAnswer: -2*q**3 + 846*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*m**2*w + 3*m**2 + 244*m*w + w - 2240 wrt m.\nAnswer: -14*m*w + 6*m + 244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1664653, 3329304, 4993955, 6658606, 8323257?\n\"Answer: 1664651*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, 92, 361, 810, 1475, 2392, 3597?\nAnswer: 5126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*4155\/(-10). Let f = t + 334. Calculate the remainder when 101 is divided by f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) 3\/4 (c) 2\/9 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/12 - (-2)\/(-3). Suppose u + 2*u = 3, -h - 4*u = -n. Let -2*q - 31*q**2 + q**3 + 30*q**2 + h*q = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from yayyyyzeyzyyeyazyyzz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7705 + 3613 = 552*x - 826 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s**2 + 19*s + 471.\nAnswer: -16*s + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h + 4963 = 14*h - 2627 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 10)*(-4*k**3 - k**3 + 2*k**3).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51191418?\nAnswer: 2, 3, 8531903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-12) + (0 - -1). Let m be 396\/(-16) - (22 + -46). Which is the closest to k? (a) m (b) 4 (c) -3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6487.65 + -6656. Let d = u - -172. What is d rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*0.026.\nAnswer: 0.00858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.412, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -20*v**3 + v**2 - 5*v. Let d(m) = -26*m**3 + 2*m**2 - 4*m. Calculate 2*d(z) - 3*g(z).\nAnswer: 8*z**3 + z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 2. Let s be p(-4). Let d = 7 + s. Let g = 4 - d. Solve -4*o - 1 = g*z + 2*z, -3*z + 1 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*a - 63*a - 90*a - 2 - 78*a + 12*a**3 + 3 + 2*a**2 to c*a + d + n*a**2 + x*a**3 and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257114 divided by 22.\nAnswer: 11687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 576757 + -2?\nAnswer: 576755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**6\/14 - 3*l**5\/35 + 471*l**4\/28 + 313*l**3\/7 + 234*l**2\/7 - 6710. Let q(v) = 0. Calculate v.\nAnswer: -12, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11633 - 6*r + 56*r + 5813 + 5820.\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*y = 156*y + 226164. What is the remainder when y is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 20*k - 39. Let h be j(-22). Suppose v = -4*w + h*v + 536, -4*w + 2*v = -540. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o**2 + o**2 - 13*o**2 + (1 - 1 + 2*o)*(2*o - 7*o + 4*o) + 3*o**2 + o**2 + 0*o**2 to the form d*o + q*o**2 + z and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1645495\nAnswer: 329099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {r: 1, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -9 + (-17 - -28) + -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4327 + 20384 = 3*m - 2235. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64)\/((-4)\/(-1)) + 1. Let a = -10 - o. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {j: 1, w: 3, n: 6, v: 3, l: 2, b: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 2*v**5 - v**3 + (4*v - 17*v**5 - 4*v)*(-2 + 0 + 1).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2974, -57, -3\/5 in decreasing order.\nAnswer: -3\/5, -57, -2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*u**2 + 2 + u + 458*u**2 - 2 to n + r*u**2 + b*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) + (-585)\/(-75). Suppose r = 3*g - 31. Calculate the greatest common divisor of 182 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.2385\nAnswer: -0.1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 24\/5 (b) 16 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9048 = 240300*p - 240474*p for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26063231921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 99 = 5*b - 118, 12 = 4*d. Suppose -43 = -q - b. What is the smallest value in q, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, i: 6, f: 2, b: 2, p: 4}. What is prob of sequence jip?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 39. Let z = u - 25. Solve 2*k - k + 1 = z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5604068.\nAnswer: 2, 1401017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:41 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 - 3*y**2 + 2*y + 4. Let j be v(-4). What is the closest to -0.2 in 0.2, 4, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63090000 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**2 - 12*v - 139. Let n(l) = 11*l**2 - 15*l - 144. Let t(c) = -4*n(c) + 5*u(c). Determine t(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = n, 2*q + 5*n - 21 = -2*q. Let o be q + ((-32)\/(-4))\/2. Suppose r = -r + 2*w + 24, r + o*w = 20. Solve -4 = -2*u - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*o**2 + o**2 + 23*o**2 - 2*o + 9.\nAnswer: -223*o**2 - 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 188, 144, 90, 26, -48?\n\"Answer: -5*j**2 - 29*j + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(475)*2 + 2 + 1 + sqrt(19) + 1*sqrt(19)*1)**2.\nAnswer: -288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 - 13.71. What is f rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/4 of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j = -101*j + 77. Suppose -309 = -3*o + 843. Suppose j*f + o = 14*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + m + 225, -m = -d + 4*m + 80. Suppose 7*r - 57 = d. Let o(w) = 2*w - 6. Let z be o(4). Calculate the greatest common factor of z and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 63 = -321. Solve -12*h + j*h - 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-92)\/(-1 + -2 + 2). Let t = -58 + q. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0387184+1194\nAnswer: 1193.9612816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -12 (c) 18 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**3*z**3 + 18608878*n**3*z + 14341824*z**3 wrt n?\nAnswer: 6*n**2*z**3 + 55826634*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25\/3 (b) -0.3 (c) 1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/7))**(-1\/9)*(v\/(v\/(v\/(v*v\/(v\/v**21)))))\/v**9 assuming v is positive.\nAnswer: v**(-1894\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -6. Calculate the greatest common factor of 48 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-693)\/25245 + (-1)\/15*-1?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 170, 0, -123 in ascending order.\nAnswer: -123, 0, 1, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrmfrsrsrsrksrrv. What is prob of picking 1 f, 1 k, and 1 v?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/13590 and -47\/14.\nAnswer: 95130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:13 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 153462*g**2 - 3.\nAnswer: -153462*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 184511 times -1661\nAnswer: -306472771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4326\/24 - 2\/8 and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1290, -2\/7, 0.1, 3, -1\/4, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 20*t + 16. Let m be c(19). Let z(q) = 2*q**2 - 2*q - 3. Let o = -94 - -175. Calculate the remainder when o is divided by z(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.05, 2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -16. Let m be k\/(-2) + (-52)\/(-8). Let o be (2\/m)\/(7\/4). Which is the biggest value? (a) 3\/7 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-19)*o*o*o**(-10\/3)*o)**(-31))**(-2) assuming o is positive.\nAnswer: o**(-3596\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -70663826*b. Let d(i) = -2*i. What is d(h(y))?\nAnswer: 141327652*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*o + 3 + 16*o)*(o + 3*o + o).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-225))\/(4\/21)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8439 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 189 - 163 = -2*s, b - 88 = 2*s. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (0 + (-16)\/20)*(-6 + -29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*w = 217*w + 52. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0056 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122714302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.92652?\nAnswer: -0.277956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*(231\/(-110) + 2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5145 + 12576. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31171 - -1?\nAnswer: 31172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 27. Suppose -38 = -2*y - 2*b, -y + 16 = -0*y + 2*b. Let k = n + y. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5406.767 kilograms?\nAnswer: 5406767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/15 and -133\/276714.\nAnswer: 1383570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0864 - 0.3466. Let z = -0.063 - s. What is z rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*p - 7 = 0, 0*p - 5*p = 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 174*s - 2523.\nAnswer: -3*(s + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*9*(-8)\/4. Let x be (-6)\/m - (-20)\/6. Let a(p) = p**2 + 16. Let s be a(0). Solve x*k - s = g, 4*g - 16 = -0*g - 4*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610*m**3*o**2 - m**2*o**2 - 270*m**2 wrt m?\nAnswer: 3660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4503 or 1?\nAnswer: 2\/4503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*u + 62*u + 14. Is u\/(4*10\/531820) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34370899*p**2*r**3*v**2 - 2849*p**2*r**3*v + 20*p**2*r**2*v + 2*p**2*r*v**2 + 5*p**2 - 3*p*r*v wrt v?\nAnswer: -68741798*p**2*r**3 + 4*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 3. Let l be y(1). Suppose h = -l + 3, -h - 69 = 3*w. What are the prime factors of (-108)\/w + (-3 + 2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 33*n**2 - 9*n + 15. What is c(-17)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + 3*p**5 - 3*p**5 + (10*p - 42 + 42)*(1 + 1 + 0)*(-6*p**4 + 22*p**4 - 80*p**4).\nAnswer: -1277*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1106 * -3.\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -7*o**5\/5 - 244*o**4\/5 - 614*o**3\/5 + 22756*o**2\/5 - 22227*o\/5 - 9072 = 0.\nAnswer: -27, -16, -1, 15\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-871)\/(-52) + -13)\/((-3)\/(-20260)).\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2493 - 2487. Let a(s) = 15*s - 86. Give a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2, 3, -5, 210 in decreasing order.\nAnswer: 210, 3, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.51 + -0.4. Let g = q + -0.01. Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*h - 4*j + 12, 4*h - 3*j = 23. Is 27 a factor of (-204)\/h*-2 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/6*(-11088)\/25872. Suppose 0*c - 10\/9*c**d - 2\/9*c**4 + 0 - 4\/3*c**3 = 0. Calculate c.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-26)*(-212)\/5883?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-14)*(-4)\/3. Sort -4, 3, z, 0.\nAnswer: -4, z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b. Let o(j) = -2*j - 1. Let p(u) = u + 1. Let t(i) = -2*o(i) - 2*p(i). What is 5*l(m) - 14*t(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1) + 0 - -1. List the prime factors of g\/(-4) + 115\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-6) - 2\/(-3). Suppose -1 = 4*u - c. Suppose -d = -3*h - u, 3*h - 2 = -d + 2*h. Solve d*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*n = -21, -8*l + 10*l - 55*n = -153 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*r + 623*r = 5*k - 26, 0 = 3*r + 6*k - 39 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 7*o**2 - 13*o - 2. Let q be m(-4). Solve -3*l = -l - q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*(g\/(g\/(g**(-5\/3)*g*g)))\/g))\/(g**(-4)*g))\/((g**(-7)\/g*g)\/(g\/(g\/(((g\/(g**(3\/7)\/g*g))\/g)\/g))*g)))**23 assuming g is positive.\nAnswer: g**(5428\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.3 (c) 2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13905 - -917705\/66. Find the common denominator of -40\/9 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3776431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z + 25. Let q(i) = 29*i - 98. Let k(c) = 9*j(c) + 2*q(c). What is k(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*g + 2 = 3*u, -2*u + 3 = 3*g. Suppose u = -4*w + 3*w. Solve w = -4*j + 3*b - 0*b + 5, j + 20 = 5*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 4*o**2 - 5*o + 1. Let d be y(-5). Let f be (-2 + 0)*(d\/8 + 3). Solve 4*p - f = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 + -289. Solve 0 = -l*o - 3*f - 9, -o - 15 = 2*o + 5*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 5*y - 19 = -13*m, 4*y - 20 = 0. Solve 2*l = i + 3*l - m, -l - 3 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5288237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + b - 1 + 2*b. What is s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvhhhvvhvhvhv. Give prob of picking 2 h and 1 v.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - j**2 + 1. Let n be z(-1). Let x(s) be the second derivative of 19*s**5\/20 - s**4\/6 + s**3\/3 + s**2\/2 - 3*s. Is x(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = -m - 1, 0 = -4*f + 3*m + 3. Which is the fourth biggest value? (a) 1\/5 (b) -3\/4 (c) -1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22968\/(-126063) + (4\/46)\/1\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i + 8*i. Let p(z) = z + 1. Suppose 0 = -4*w - 2*g, -w = -2*w + 5*g + 22. Calculate the remainder when p(i) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 1, t: 2, b: 1, e: 1, j: 2}. What is prob of picking 1 e, 1 b, and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 715.77 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 740631505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.46281 decades to years.\nAnswer: 974.6281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 33 + 33)*(4 - 4 - 1)*(2 - 2 - 3 - 1 - 2 + 1 + (1 + 1 - 4)*(1 - 4 + 4) - 10 + 5 - 3)*(6*g - 2*g - 2*g) to l + y*g**2 + m*g and give y.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1237 - 0?\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 24*g - 23. Let j be s(-7). Let r(i) = i**2 + 4*i + 3. What is r(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v*v**(-3\/2))))\/v)**23 assuming v is positive.\nAnswer: v**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2 - 1\/4*p**2 + 1\/5*p**5 + 0*p**4 + 0*p + 1\/12*p**6 - 1\/3*p**3. Factor x(v).\nAnswer: v*(v - 1)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-10 + 7 - (-1 - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxvajvhvqh. What is prob of sequence qq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 157404 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 equal to 9827424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 5, g: 2}. What is prob of picking 2 p and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2862 = -2*m - 24*w + 22*w, -w = 3*m + 4301. Do m and -1435 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.8. Let x = 2.4 - w. Let d = -2.00005 + x. What is d rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41242657.\nAnswer: 23, 109, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 38236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110411 (base 5) in base 2?\nAnswer: -111100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c + 3809 = -411*c - 191 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7951*j**3*l - 894*j**3 + 142*j**2*l**3 - 1110*j wrt l.\nAnswer: -7951*j**3 + 426*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = -q + 6*q, -2 = 4*q + 3*r. Let w = -59\/78 - -1\/156. Which is the third biggest value? (a) w (b) q (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2365202 millilitres to litres.\nAnswer: 0.0002365202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + (-220)\/4)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 116*m**2\/9 + 238*m\/9 + 40\/3.\nAnswer: -2*(m - 60)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 36 = -10*l. Suppose -c = 4*o - 0*o - 3, 3*c - l = 2*o. Suppose -c*p - 4*q - 43 = -140, 0 = -4*p - 3*q + 134. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:08 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300040\/(-156)*18\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 7*y + 292 = 766. Calculate the remainder when 2682 is divided by y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 8376 = 8268 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.9 + 7.9. Which is the third biggest value? (a) -3\/5 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = -4*y - 30, -5956*y - 9 = -4*b - 5953*y + 7 - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 187821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/40 - b**5\/30 - b**4\/8 - b**3\/6 - 21*b**2. What is the tens digit of m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 36*u - 38*u. What is the least common multiple of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 56*v**2 + 727*v - 670.\nAnswer: -(v - 10)*(v - 1)*(v + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/30 - p**4\/3 + 31*p**3\/6 + 6*p**2. What is the tens digit of z(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 33067\/2139?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1110013 (base 4) to base 12\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7953 is divided by 7848?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 193.9503 months?\nAnswer: 0.16162525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 3 - f + f**4 - 5*f + 7*f to i*f**3 + z*f + u + l*f**4 + v*f**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2383\/8216 or 0?\nAnswer: 2383\/8216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578959, -578956, -578953, -578950?\nAnswer: -578947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240467*o**2*w**3 - o**2*w**2 + 21978*o*w + 1 wrt w?\nAnswer: 1442802*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - 1) + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 396420*-8\nAnswer: -3171360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 5*j - 5*j - 16*j**2 + 11*j as q*j + b + a*j**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3241*b**2 + 294*b. Let q(s) = -s - 1. Determine q(r(z)).\nAnswer: 3241*z**2 - 294*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 28, -69, 4 in descending order.\nAnswer: 28, 14, 4, -69","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/152 + -4 + (-308)\/(-38). Solve 17*p - n - f = 13*p, 4*n - 8 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*g - 5)*(-4 + 2 - 1)*(-3*g**2 + 4*g**2 + 0*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2901.755 centuries?\nAnswer: 29017.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175788 divided by -257?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 351*z + 197*z + 980*z**2 + 251*z - 489*z**2 - 492*z**2 in the form l*z**2 + b*z + t and give b.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*z**2 + 2 - 11*z**2 + 22*z**2 - 9*z**2 + 4*z**2 - z**2 - z**2 + 0*z**2 - z**2 + 2*z**2 + (-z**2 + 4*z**2 - z**2)*(2 + 4 - 4).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:07 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 2. Let a be (-4)\/(-26) - 48\/(-26). Let k(v) = -v**5 + v**4 + v**3 + 9*v**2 + 5. Let b(i) = a*k(i) - 5*u(i). Solve b(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 divided by 109?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3065\/1992 + 62\/83. Calculate the common denominator of r and -149\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3192 and 240.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8 + 12 + x - 5 + 1. Let u(d) = -36*d**2. Determine u(v(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from ddddwddd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.33. Let v = -0.3 + t. Which is the smallest value? (a) -4 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11621.6 plus -211453.306?\nAnswer: -199831.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/11))**47\/(w**(-3)\/w)**(-3\/11))**(-32) assuming w is positive.\nAnswer: w**(-13152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 - 6*r - 7. Let w be n(7). Let u be (-1 - w)*-1 - -3. Let o(z) = -7 - z - u*z + 0*z + z**2. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - -20103?\nAnswer: 20223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a2c75 (base 13) to base 11.\nAnswer: 64743a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -4, 3, -1140, 16 in descending order.\nAnswer: 30, 16, 3, -4, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 63 - 7*d**2 - 35 + 44.\nAnswer: -7*d**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9673 - 6323. Which is greater: 3349 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-6\/19)*k\/k**(-17\/5)*((k\/((k*k**(-5\/4))\/k)*k)\/k)**(-34) assuming k is positive.\nAnswer: k**(-13569\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 39*d**2 - 22*d - 699. Let h be o(38). Are h and -97 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d + 3249. Suppose 2*y = d + 15. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3646, 16086, 39578, 76378, 128742, 198926?\n\"Answer: 376*m**3 + 3270*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 2. Let l(t) = 9*t + 107. What is -l(g) + 3*u(g)?\nAnswer: -3*g - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from lcluuuuccflclf.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -62*(-3)\/(-9)*9\/(-6). Suppose 23*q + 168 = r*q. Sort -2, 0, q in descending order.\nAnswer: q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008.0585072 rounded to 2 decimal places?\nAnswer: 1008.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1\/((-15)\/(-12) - (-1842)\/(-1480))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-142)\/(-1065) + (116\/30 - -1). Let u(n) = n - 1. Let f be u(6). Suppose -f*i = b*i - 5630. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20618 = -22*f + 19*f, -3*f - 6 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17))**(-34)\/(y*y\/((y*y\/(y\/y**(-2\/33)))\/y)*y\/((y**(-1\/17)*y*y*y*y)\/y)*y*y))**(-26) assuming y is positive.\nAnswer: y**(-27430\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135414 and 17666446.53.\nAnswer: 17531032.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or 12\/2699?\nAnswer: 12\/2699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128519670 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k**3 + 2*k)*(1 - 1 + 1) + (-1 + 2 - 3)*(k**3 + k**3 + 2*k**3) + 0*k**3 + 0*k**3 + 2*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 29*f**2 - 2*f + 25. Let q be g(-25). Suppose 0 = -4*a - 2*p + 2834, 0 = -3*a - 2*p + q - 451. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 3*p + 4*p)*(-19*p**2 + 11*p**2 - 9*p**2) - 146*p**3 + p**2 - p**2 + 293*p**3 to the form g*p + j + b*p**2 + k*p**3 and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -57. Suppose 4*o = 18 + c. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**3 - 3*x - 6. Let a(y) = -y**3 - y - 1. Determine -4*a(s) + i(s).\nAnswer: -2*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -100685 at least -100685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 4*t + 2*t**3)*(-2 + 3 - 9)*(26*t - 13*t - 21*t + 2) to the form f*t**3 + c + k*t + v*t**2 + i*t**4 and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + 4\/(-14). Suppose 5*v + 0*v + 20 = t. Round v to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-504)*9*21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -9)\/((-3)\/2). Suppose n + p = 4*n. What is the second derivative of -2*c**n + c**2 + 3*c + 3*c**2 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 52273062?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -3*t + 1, 2*t + 5*z + 10 = 0. Suppose t = 3*d - 6 - 12. Suppose 16*q = d*q + 400. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3212\nAnswer: -5\/3212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.60614. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/6 + (-82400)\/(-60). Suppose 3*p + 2*p - 4*a = g, 6 = 2*a. Let t = p + 714. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 491 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 - -309. Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*9\/48)\/(9\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 18579.11213528.\nAnswer: -18578.91213528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 36. Suppose 2*h - 2*s + s - 3 = 0, -c*s = -3*h + 3. Let v(y) = 12*y. Is 9 a factor of v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69.7 - 57. Let z = h - 13. Let f = 0.06 + -3.06. What is the nearest to -0.1 in f, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 613, 594, 209, -656, -2115, -4282, -7271?\nAnswer: -11196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 7. Determine g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -0.1. Let h be 1\/(4\/(-6)) - 147\/14. Let f = 8 + h. Which is the nearest to 0.2? (a) f (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4169*n**4 - 1544*n + 2?\nAnswer: 50028*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -0.06. Let f = m + 0.5. Which is the biggest value? (a) 9 (b) f (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*s + 4, w + 4 = -3*w. Let x be (41\/(-3) - s)*-60. Round x to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/17077 or 26?\nAnswer: 19\/17077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, -1.9 in descending order.\nAnswer: 1, -1\/3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(4\/9)*q*q))\/q*q*q\/(q\/(q\/q**12)))\/(q**3\/q)**(1\/3) assuming q is positive.\nAnswer: q**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -254, -2, 248, 496, 742?\n\"Answer: -d**2 + 255*d - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 times -0.1?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s - 15. Suppose u - s*u + 29 = -x, -3*u = -x - 23. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291174335.\nAnswer: 3, 5, 11, 31, 84143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 1. Suppose -12*y = -14*y + 38. Suppose 6*a - 4*k = 3*a - y, -3*a = 4*k - 13. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 481 + 2*j**2 - 969 + 486 + 12*j to the form y*j + t*j**2 + g and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -2 + (-9 - -4) + -8 + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13416 is divided by 2309?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6192256.67 to the nearest one hundred.\nAnswer: 6192300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 248954*q + 1742580.\nAnswer: 2*(q - 124470)*(q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 3*s - 5*s - 42*s**2 + 18*s**2 + 25*s**2. Let w(a) = -15*a. Determine w(c(y)).\nAnswer: -15*y**2 + 105*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-15 + (28 - 3) - (0 + 19))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1293 + 2478. Let g = d - -419. What are the prime factors of g?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566748 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -1232, -1825, -2414?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v + 2. Give z(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c - 108 - 56 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - 5*r**3 + (5*r**2 + r**2 - 4*r**2)*(-3 + 4*r + 3).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4307287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002284415 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 21, 56, 109?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 543?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 11. Let u = 63\/8 + -17. Find the common denominator of u and ((-9)\/(-5))\/(y\/26).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 0.1. Suppose 2*l = -4 + 14, t = 2*l - 5. Let d = 365 + -364.7. Which is the second biggest value? (a) d (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*114\/(-126) - 14\/2. Which is the second smallest value? (a) 0.4 (b) p (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.043257 milligrams in tonnes?\nAnswer: 0.000000006043257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 22. Let z = -12005 + 12035. What is the remainder when z is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(-y + 4*y - 2*y + (4 - 2 + 0)*(2*y - y + 0*y) + 1 + 2*y - 1 + 0*y - 2*y + 0*y - 2*y + 2*y - 2*y + 5*y - 4*y + 2*y - y - 5 + 5 - y + 0 + 0).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**(-1\/3))*h\/h**(1\/2))\/(h**(1\/3))**48 assuming h is positive.\nAnswer: h**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9124163 kilometers to micrometers.\nAnswer: 912416300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Suppose o*p = -p. Suppose v - 5*a - 10 = -p*v, 40 = 4*v + 5*a. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 924 - 8*o**2 + 4*o**2 + 924 to the form m + p*o + g*o**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 221222 (base 3) to base 13\nAnswer: 41c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -367*x - 2. Suppose 5*c - t = -0*t - 27, 10 = -4*c - 5*t. Let q = c - -9. Let w be u(q). Round w to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202089 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 4721\/83730*-389. Let q = i - -3\/27910. Let t = 7\/5 + q. Find the common denominator of 93\/2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:06 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30096058169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -779 - -783. Solve f*l - 2*l - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from cnwwnwwssswws?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 34, 48, 62, 76, 90?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2211 and 7254492?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -118. Let f = 2 + k. Let y = f - 35. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66531 + -66488. Suppose m + 622 = 5*q, -2*q + 6*m + 244 = 4*m. What is the remainder when q is divided by i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51003 = 617*c - 208 for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 908*m - 12*m**3 - 6*m**2 - 1 - 905*m + 2*m**2 to u*m + p + z*m**2 + f*m**3 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*d - 2921*d = 3914*d + 267870 + 112564 for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 2*(-4)\/(-8). Let j be 10*-1*m\/6. Solve -7 - j = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -14 + (7 - -4) - 39) + 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 264?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2052 - -213. Let x = -376 + a. Suppose 2*g + 1778 = 5*n - 113, 5*n = 3*g + x. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306 + -299 - ((-26 - (-7 + 7 + -4)) + -5).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10000100010100 (base 2) to base 12\nAnswer: -4a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*m + 2*l, -2*m + 3*l = 2*l - 135. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in -3\/5, 2, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15708 and 3510738.\nAnswer: 7021476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - n - 1196859 = -74461, -5*n = 3*v - 481044. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16301 - 16302.59976. Let c = 1.6 + o. What is c rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -18*x + 2933. Is s(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = l - 827. Let y be (476\/l)\/(2*1). Let d = y + -6903\/404. Calculate the common denominator of d and -83\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 200 - 353. Let w = -147 - h. Let j(b) = 3*b - 8. Give j(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 836 and 24?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -368*u + 735. Calculate l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 40255*w. Let r(p) = -p. What is r(a(z))?\nAnswer: -40255*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 81. Let v be m(17). Let h be (3 - 3) + (-1)\/(-2). Which is the nearest to -0.1? (a) h (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6679 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 12. Let d(g) = 2*g - 7. Let z(t) = -3*b(t) - 5*d(t). Let o(u) = -9. Determine o(m) - 6*z(m).\nAnswer: 6*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 3, 215 = 4*h - 5*f. What is the least common multiple of h and ((-301536)\/264)\/(-12) + (-2)\/11?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*x - 4*q + 359, -2*q + 357 = 5*x. Let h = -67 + x. Let b = 60 - 20. Calculate the least common multiple of b and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 347?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4 - 14. Let q(u) be the first derivative of u**4\/4 - 2*u**3 + 5*u**2\/2 - u + 14287. Give q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 54. Let w(v) be the second derivative of -v**4\/12 - 825*v. What is w(d(g))?\nAnswer: -g**4 + 108*g**2 - 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11542669109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3\/8 - 141*i**2\/8 - 165*i = 0.\nAnswer: -8, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckbbscvbvsppcp. What is prob of picking 1 v and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2917.747ml?\nAnswer: 2.917747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 19*g + 3*g + 8*g + 2*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6494, 13069, 19652, 26243, 32842, 39449?\n\"Answer: 4*n**2 + 6563*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27152 - 27152 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9244338 or 9244327?\nAnswer: 9244327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143\/2320777 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -700\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:24 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 45*q**2 + 14*q + 624. Give x(-45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = o - 0, 0 = -4*o + 3*z + 14. Suppose 0 = o*r - 7 - 18. Suppose r*k - 83 = -3*s - 0*k, 2*k = 8. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 - 0.41000046. What is j rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -31, -43, -57?\n\"Answer: -t**2 - 7*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9602118?\nAnswer: 2, 3, 41, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 184. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**4 - 4662*s**3 + 1782924*s**2 + 22019526*s + 20231937 = 0.\nAnswer: -11, -1, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2784 + 753. List the prime factors of c.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 6407751760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1755708 divided by 2.\nAnswer: -877854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19443, 38897, 58351, 77805?\n\"Answer: 19454*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38499673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 270650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 10*g + 8. Calculate i(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051096 * -0.2.\nAnswer: 0.0102192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 18*o + 26. Let l be g(-19). Let p be 1\/(-4) + 1055\/140. Let d = p - l. Which is the closest to 2\/7? (a) d (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -134, -157, -198, -263, -358?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204*p**4 + 71?\nAnswer: 816*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2468074824 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 464 + -439. Suppose -1 = 6*c - h. Let i be (-6)\/21 - 74\/(-14). Solve -p = c*p + i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-200)*(-180)\/27?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.39 - 0.5. Let v = -0.05 - z. Let x = -0.055 + v. What is x rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, l: 1, e: 1}. What is prob of sequence xle?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-93800)\/(-294))\/(-134))\/(-6*(-6)\/252)\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63515675 + -3?\nAnswer: 63515672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 5.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195237.\nAnswer: 3, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73418105?\nAnswer: 5, 14683621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**3 - 4*o**2 - 4*o - 3. Let k(x) = -x**3 - x**2 - x - 1. Let d = 11 - 9. Let t(w) = -w. Let m be t(d). What is m*n(y) + 6*k(y)?\nAnswer: 2*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1986, -2640, -3308, -3996, -4710?\n\"Answer: -j**3 - j**2 - 644*j - 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 664.467977 to 1 dp.\nAnswer: 664.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 - 2 = 0, 5*o + 2*y = 254. Suppose o + 74 = 4*c. What is the remainder when c is divided by 3*66\/54*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpmf when four letters picked without replacement from mmffpfmm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 3*r - 2. Let p(x) = 12*x**2 + x**2 - 11 - 3*x**2 + x**2 - 17*x. Give 34*h(y) - 6*p(y).\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402980312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*s + 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -309 + 178. Let g = -88 - l. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-53 - (-1 + -34) - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15565, 31126, 46687, 62248?\nAnswer: 77809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 4*t + 68. Let j = t + 77. Let o = 1 - -4. What is the lowest common multiple of j and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -396 - 60. Let b = 1008 + z. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 2*f - 60, 3*f - 77 = -4*t - 93 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + (-44)\/(-16). Suppose d = 4*k - 5. Solve 0 = k*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10611559 and 10611543 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000097164553 to seven dps.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 13*b**2 - b + 17. Let q be r(-13). Let f = -9 + q. Which is greater: f or 20?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806717 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.19 + 23.99. Which is smaller: c or 112.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from {q: 7, e: 2, v: 2, k: 4, n: 5}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826521333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*f - 139*f + 47*f**2)*(13*f + 4*f - 2*f + 2*f + 2*f).\nAnswer: 893*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/41557680 and -39\/160.\nAnswer: 83115360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-38)\/((u\/(u*(u*u**(-1\/7)*u)\/u))\/u*u*u*u))\/((u\/u**(-1\/27))\/u)**(11\/8) assuming u is positive.\nAnswer: u**(-59261\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q*q*q**8)**14*(q\/q**(-5)*q**(1\/5))\/(q**2*q)**(-19) assuming q is positive.\nAnswer: q**(316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 500.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 414 = 3*j, -4*w + 471 = 5*j - 72. Let a be (15\/10)\/((-3)\/124). Let t = a + w. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -70332026?\nAnswer: 70332027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1896030092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -40, -5 in decreasing order.\nAnswer: -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-18) + 20\/6. Solve -4*l + 23 = s, -i - 20 = -3*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*i**4 + 244?\nAnswer: 516*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226616940 a multiple of 1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.996 + 0.004. Let x = p - 17.1. Let v = -0.2 - 0. Is x less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69706 divided by 766.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 113*f**2 - 120*f - 884. Let h be y(-112). Solve 0 = -h*u + 382 - 430 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (3 - (11 + -21))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-3)*8600\/24080*32\/(-5)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449784351?\nAnswer: 3, 17, 2939767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1\/3 (c) 27\/28 (d) -244 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1001\/52 + 1)*(-24)\/(-18)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 8*l + 61*l**3 + 9*l.\nAnswer: 61*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0, 2, -3\/16, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 1 - (-21)\/(-49)*245\/(-42)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 1, o: 8, p: 1, k: 2, u: 1}. Give prob of picking 2 k and 1 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/173 + 5147\/41174. Let k = t + 1\/34. Let i = -7186\/1725 + -1\/1150. Find the common denominator of k and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 (base 16) in base 11?\nAnswer: a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 = 11. Let v be t\/14 + 82\/7. List the prime factors of 1 + 5\/(10\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 11*p - 2. Let s(w) = 2*w**2 + 10*w + 3. Determine 3*k(r) + 2*s(r).\nAnswer: r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 0 (c) -2 (d) 13 (e) 0.9 (f) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (-3 - (1 + -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96033 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*f + 273*f = -2. Calculate the remainder when 6 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 272 + -297 + (1 - -9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000954.\nAnswer: 2, 43, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 d when four letters picked without replacement from ldllllllldlll?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30229*v - 6132.\nAnswer: -30229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 16 + 17 = w, w - 33 = -4*d. Do w and 32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a factor of 9921464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -14, 5, 4, -265, 7 in decreasing order.\nAnswer: 7, 5, 4, -2, -5, -14, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 11, -334.3, 1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1371 - -1424. Is 14 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 - 7*d**2\/2 + d - 1. Let n(l) = l - 14*l - 5*l + 7*l - l**2 - 18. Let g be n(-8). Give a(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209243 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + ((sqrt(130) - -3*sqrt(130)) + sqrt(130))*-4 + sqrt(130) - -5*-2*sqrt(130))\/((sqrt(120)*-1*-1)\/(sqrt(1728) - sqrt(1728)*2)).\nAnswer: 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -8.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*u - 46*u = 3088 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -67*w + 1 + 0*w**2 + 0 + w**2 + 1 + 69*w. Let a be o(-2). Solve 120 = a*k + 124 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(1\/7)*f*f)\/(f*f\/(f\/f**(-2\/23))*f))\/(f**(-1\/3)\/f)**(-7))**(1\/11))**(1\/22) assuming f is positive.\nAnswer: f**(-4397\/116886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o + 1. Let d(z) = -3 + 4*z**3 - 4*z - z + 10. Calculate -d(b) + 5*k(b).\nAnswer: b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*s = 479*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*n + 7*n, 0 = 3*g. Let 9\/2 - 3*m**2 + n*m - 1\/6*m**4 + 4\/3*m**3 = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 64 = 5*f, -5*b + 5*f = 2*f - 80. What is the remainder when 25 is divided by (21\/12)\/(4\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1053701 divided by -95791\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 9:30 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*m**5\/3 + 130*m**4\/3 - 7*m**3.\nAnswer: m**3*(m + 7)*(19*m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 + 3*c**4 + (2 + 2 - 3)*(-27*c**4 + 78*c**4 + 117*c**4 - c).\nAnswer: 171*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/237250 and -79\/1125?\nAnswer: 2135250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41827.81 and 0.5.\nAnswer: -20913.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728 = u - 1757. Let y = -14867\/6 + u. What is the common denominator of y and 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:42 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.947769 nanograms to tonnes.\nAnswer: 0.000000000000008947769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9)\/(3\/36). Suppose -3*v = -g + 2*v - 115, -2*v = -i. Let k = g + 142. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/((-440)\/(-144) + -3). Let d = t + 712. Calculate the least common multiple of 60 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, 25 in increasing order.\nAnswer: -4, 25, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w**4 - 136*w**3 + 368*w**2 - 248*w + 36 = 0. Calculate w.\nAnswer: -9, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163982 + -305132. Let j = -141151.999984 - w. Let r = j + 2. Round r to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**3 - 4*f**2 + 32. Let s(d) = -21*d**3 - 20*d**2 + 162. What is -2*s(z) + 11*y(z)?\nAnswer: -2*z**3 - 4*z**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 10*g - 133. Calculate the greatest common factor of g and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g**2 - 3*g**2 + g**2)*(19*g + 169 - 169) as u*g + y*g**2 + j*g**3 + z and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -56. Let j(h) be the second derivative of 0 - 2*h + h**2 + 0*h**3 - 3\/20*h**5 + 0*h**g. Differentiate j(f) with respect to f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537644, -1075294, -1612944?\nAnswer: -2150594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290211 + 551893 = 10920*k - 147099 - 4517 for k.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 436.3341 to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 81, 0.4, 5569, -2\/19 in decreasing order.\nAnswer: 5569, 81, 0.4, 0, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2564*w - 1002*w - 856*w - 860*w.\nAnswer: -154*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6148 + 12350. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from gjtttuayutattt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c)**(7\/5) assuming c is positive.\nAnswer: c**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 - 12. Let c = -9 - o. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25334 divided by -2\nAnswer: 12667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 116958306 to the power of 1\/2, to the nearest integer?\nAnswer: 10815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/25 + -103\/350. Let a = -23\/42 - q. Suppose -7 = -3*f + 2*u - 2, 0 = 3*f + 3*u. Sort f, a, 0 in decreasing order.\nAnswer: f, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -19 (b) -1 (c) -2.6 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let h(b) = 5612*b**2 - 12*b + 24. Let t(o) = -2968748*o**2 + 6344*o - 12688. Let g(w) = 1586*h(w) + 3*t(w). What is g(k(z))?\nAnswer: -5612*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2025610 by 4.\nAnswer: 1012805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21894 + 12343. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34257893 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 37*a**2. Suppose 4*p = 24 - 16. Let g(l) = -56*l**2 - 57*l**p - 53*l**2 + 167*l**2. Determine g(i(m)).\nAnswer: 1369*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) -3 (b) 0 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*p - 37, 0*y + p = 5*y - 21. Suppose -3*l = -4*l + 2. Suppose -4*o + 21 = 3*c - 8, -l*c - 3*o + 21 = 0. Solve -c*x = y - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9338930 to the nearest ten thousand.\nAnswer: 9340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 68*u**2 + 2*u + 18. Let x(j) = -j**3 - 69*j**2 + 3*j + 21. Give -7*n(f) + 6*x(f).\nAnswer: f**3 + 62*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 - 122. Let h = -62 + q. What is the second smallest value in h, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0)*(-501)\/334?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-10) + (11 - (-12888)\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:36 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 104 = b, x = 2*x + 3*b + 32. Let f = -5 - x. Find the second derivative of -20*m**3 - f*m - 2 + 1 + 1 wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 + (4 - 3) - (37 - 40)) + 69?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4028)\/(-42) + 24\/(-42) + 2\/3. Solve 14*v - 180 + n = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.17, 5, -1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 726*p = 731*p - 18, -4*s + 48 = 4*p for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6427\/2232 - 220\/93. Calculate the common denominator of 24\/5 and i.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -66, 1, 5, -15, 76, 86.\nAnswer: -66, -15, -1, 1, 5, 76, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 3*w**2 - 3*w - 17. Let t(v) = -v**3 - v**2 + v. Let a(n) = -3*t(n) - x(n). Differentiate a(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 93474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103818?\nAnswer: 2, 3, 517303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/5 + 156*k**4 - 90417*k**3\/5 + 2777574*k**2\/5 - 25190496*k\/5 - 28059264\/5 = 0 for k.\nAnswer: -353, -1, 24, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18569375.\nAnswer: 5, 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -39962\nAnswer: 5\/39962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -6\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 + -5323152?\nAnswer: -5323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w - 5*w = -363421. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277105 - -213925023\/772. Calculate the common denominator of ((-485)\/(-16))\/5 - 1 and i.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z - 3. Let p(f) = 9*f - 2. Calculate 3*c(b) - 5*p(b).\nAnswer: 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.097 - 5.997. Sort 3, t, 0.2, -6, 2 in descending order.\nAnswer: 3, 2, 0.2, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 2*l - 123 + 3*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430951186 and 3898?\nAnswer: 3898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*h - 1017*h + 11339 = 29097 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617522571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -6 (c) -3 (d) 5288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35593.2 + -35593. Which is the closest to 1\/2? (a) -49 (b) 0.3 (c) 0.1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 42 - 8 = 0. Let v = 29 + y. Suppose 4*p - 158 = w, 7*p - v*w = 4*p + 125. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 2*w - 12*w - 7*w)*((-4 - 2*w + 4)*(4 - 5 + 3) - w + 1 - 1 + 0*w - w - 2*w - 6*w - 6*w + 14*w) + (1 - 1 + 2*w)*(5 - 5 - 3*w).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 + -61. Let v = 316176.0004 - 316253. Let j = m + v. Round j to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reburzuuuzueebu. Give prob of sequence bu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3155 + 3849. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(2 + sqrt(110)\/(1*sqrt(10)))**2 + ((2 + sqrt(33)\/sqrt(3) - sqrt(11))*-6*-6)**2.\nAnswer: 16*sqrt(11) + 5242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*q + 274 + 35 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12187*g**3 - 3*g**2 - 13*g - 82?\nAnswer: 73122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, and 1 o when three letters picked without replacement from {c: 1, k: 2, t: 1, o: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 3}. Give prob of sequence qqc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -13. Let x = -26 - -28.95. Let i = x + 0.05. What is the nearest to -2 in q, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 673, 1661, 2649, 3637, 4625, 5613?\n\"Answer: 988*i - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -156?\nAnswer: 17\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugdugguuluiiii. What is prob of sequence lu?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {b: 4, d: 1, w: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -6777721?\nAnswer: -6777756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 45*h**2 - 95*h + 74. What is the remainder when 120 is divided by n(47)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00108849379 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 14 = 70. Suppose -2*g = -b + 8. Solve g*f = 2*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 1219, 2738, 4863, 7594, 10931, 14874?\nAnswer: 19423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/4 - 1) + -3. Let x be -14*m\/2 - 4. Suppose -3*d = -5*a - 31, 0 = -2*d - 3*d - 4*a - x. Solve -d*u - 2*u = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - i = 2*i + 22, -2*i - 38 = -4*l. Let q = -3 + l. Let h(a) = -a**3 + 5*a**2 - 4*a + 3. Let n be h(q). Solve -2*c + n = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 6*t. Suppose t = 3*z - l + 22, -23 = 3*z - 4*l + 11. What is the hundreds digit of z\/(-24) + (-1390)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 72. Let t be (-25)\/m*(-1 + -2). What is the second derivative of -3*p**5 - 12*p + p**t - 12*p - 13*p**5 wrt p?\nAnswer: -300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f + 0*f**5 + 0*f**5 - 3*f - 4*f**5 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.76 + 34.36. Let z = 31 - k. What is the nearest to -3\/8 in -5, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/135630 and 43\/94941.\nAnswer: 949410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -0*y. Solve y = 3*u + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5701409?\nAnswer: 7, 17, 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 28*h - 656 - 58 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13397532 to the nearest integer?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 130\/52 - (-6)\/(-12). What is the closest to -0.3 in 10\/7, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3 + 9*d**2 - 54*d - 216 = 0?\nAnswer: -12, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 917621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1739 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*i + 7020 = 481*i + 127*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.59 + -14.39. Let v be ((-21)\/12)\/(3\/116). Let q = v - -67. Which is the smallest value? (a) l (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 11*h - 3. Let y(u) = -120*u + 32. Let l(p) = -32*t(p) - 3*y(p). Let v(n) = 3*n**2. Give v(l(b)).\nAnswer: 192*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*48\/60*(-10)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 66*m - 949. Let o be g(31). Calculate the highest common factor of o and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**3 + 2*u**2 - 2*u + 1. Let l be h(1). Suppose -26 = -2*y + 34. What is the highest common factor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-117)*6\/(-8))\/((-6)\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4030 divided by 13.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/1041 - -82259\/20820. Let o = 54272081\/20 - 2714330. Let a = o + 723. Find the common denominator of c and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 1, p: 1}. What is prob of picking 1 c, 1 h, and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 0 - 1 + 11*x + 50*x**2.\nAnswer: 50*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-13) - 1828\/(-52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(2\/(-4)*-2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 53 = 2. Let o = g + 68. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 11. Let z be s(9). Suppose 4*t - 2*d - 16 = 0, d = 5*t + z*d - 13. Let n(o) = 4*o + o + t*o - 6*o. Let r(q) = 2*q. Give n(r(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let m(b) = 2*b**2 - 122*b + 2. Let u be m(61). Let d(t) be the third derivative of 0*t - 5\/24*t**4 + 3*t**u + 0*t**3 + 0. Give d(a(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 3*m**2 - 7*m + (-2 + 3 + 2)*(-3*m**2 + 15*m - 15*m) to z*m**2 + l*m + f and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 6, q: 3}. Give prob of sequence ss.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077?\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8 and 13\/14005?\nAnswer: 112040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -3) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33728 and 63104.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1605553, -3211192, -4816833, -6422476, -8028121?\n\"Answer: -w**2 - 1605636*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 7*y + 616 = 0. Let i = -40 - y. Solve -10 = -d - a, -a = -5*d + i*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/15)\/(-28*15\/(-630))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4058 is divided by 3633?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 2, p: 3, e: 2, k: 8, h: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 630658\/121 or 5211?\nAnswer: 630658\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -5. Let l(i) = 2*i**3 + 4*i - 3*i**3 - 5*i**2 + 3 + 2*i**2. What is l(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 231744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 14 - 18 = 0. Let h be (2 + 0)*37\/n. Suppose 3*s - 29 - h = 0. What is the lowest common multiple of s and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 6384?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 431706 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000030292 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -58.\nAnswer: 111\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 2*i**2 + 4*i - 2. Suppose u = -3*u + 8. Let l be z(u). Find the third derivative of -2*j**2 + 6*j**4 + 2*j**4 - l*j**4 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, z: 8, e: 3, w: 2}. Give prob of sequence zweb.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 591323437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 795491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269950?\nAnswer: 2, 5, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -211, -179, -163, -169, -203?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 7*t**2 + 9*t - 2. Let c be j(8). Solve z = c*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**3 - 6*w**2 + 12*w - 7. Let i(r) = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.965178m?\nAnswer: 7965178000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u. Suppose 2*b + 3*o - 10 = 0, -10 + 30 = 4*b + 3*o. Let i be c(b). Let s = -26 + i. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 43330*y**2 - 389808*y + 1. What is n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 20. Suppose -2*c + 44 = 2*c. Let s be b(c). Is (-222)\/(-9)*s\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5943 - -5940. Let z = 6 + -5. What is the third biggest value in x, z, -0.19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10229881*t. Let u(w) = -2*w**2. What is u(o(m))?\nAnswer: -209300930548322*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 210897734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4. Let g = a + 1. What is the second derivative of -g*y + 0*y + 2*y**5 + 2*y - 2*y wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, e: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*p**2 - 9 + 10 - 167*p**2 - 13*p**2.\nAnswer: -751*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 17*h**2 + h + 21. Let l be r(-17). Is 7 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(-164 - 16*i + 164).\nAnswer: 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772604.\nAnswer: 2, 7, 41, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.00753564.\nAnswer: 0.000376782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhshswhwhhhhhs. What is prob of sequence ww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*p*z - 2*b**3*z**3 + 6*b**3 - 100*b*p*z**3 + 3*b*p + 8*p*z**2 wrt z.\nAnswer: -12*b**3*z - 600*b*p*z + 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -2. Suppose 4*y - 20 = -2*l - 8, -2*y - u = -3*l. Suppose 4*z = 3*o - 96, 5*o + 5*z = y*z + 131. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3820811, 3820815, 3820819, 3820823?\n\"Answer: 4*g + 3820807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 628*c**2 - 5240*c - 13024 = 0. Calculate c.\nAnswer: -2, 11, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36451127?\nAnswer: 36451127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 27309 and 27309 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (1 + (-968)\/(-16))\/(6\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**3 - 5*q**2 - 53*q - 165. What is s(-3)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 79 - 2*b + b)*(b - 6*b + 4*b).\nAnswer: b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 38091 - 3845 = -2*k, 6*v - 125776 = 2*k. What are the prime factors of v?\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224873511.\nAnswer: 3, 29, 61, 42373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0 - 2*l + l**2 + 1\/6*l**3. Suppose 7 = 3*d + 19. Calculate u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/6 (c) 1.8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119481, 238982, 358483?\nAnswer: 477984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 - (-3 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1332611604?\nAnswer: 1332611601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 22*z - 21. Let s be l(19). Let w be (-30 + s)\/((-3 + 0)\/(-1)). Solve 3*p = 6*p + 3*j - 27, 5*p + w*j - 30 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)*x)**(-31)*x\/(x\/x**27)*x*x**14 assuming x is positive.\nAnswer: x**383","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2421 in -37, -2\/5, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.377um?\nAnswer: 0.0009377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 22.6511\nAnswer: 31.6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-397800)\/(-287300)*182\/24.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngexz. What is prob of sequence nxz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 860690, 861061, 861444, 861845, 862270, 862725, 863216, 863749?\n\"Answer: o**3 + 364*o + 860325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**2 - 16*p**2 + 5*p**6 + 7*p**2 wrt p.\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**5\/15 + k**4\/8 - k**3\/3 + k**2 + 1. Let v(i) be the second derivative of j(i). Is v(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -616, -1389, -2438, -3739, -5268, -7001?\nAnswer: -8914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 43. Suppose 0 = 2*a - m + 15. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2 (c) 3 (d) -0.19 (e) 13.199 (f) -1\/4 (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*w + 9, 4*s = w - 0*w - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -28. Find the second derivative of k*p**5 + 18*p - 6*p**5 + 8*p - 4*p wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-23 + (-192363)\/(-8362))\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4221 or -5.051?\nAnswer: -5.051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887758586?\nAnswer: 2, 11, 13, 53, 58567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 271113 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: Find the second derivative of h**3 + 1937*h**2 - 5*h + 14 wrt h.\nAnswer: 6*h + 3874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z + 44. Let d be x(8). Let g(i) = -i**3 - 3*i**2 + 3*i - 6. Let s be g(d). What is the closest to -1 in s, 8, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*i**2 - 5 - 116*i**2 + 3 - 27*i**2 + 0.\nAnswer: 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*k + 6. Let r(p) = 5*p - 5. Let o be r(k). Let w be (-2 + 24\/10)\/((-1)\/(-5)). Solve w*j = -3*j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-11) - 1007584\/(-814)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1024*f**4 + 26*f + 2 wrt f.\nAnswer: 12288*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1116)\/24*8\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1577*u**2 - u + 701?\nAnswer: -3154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t + 19. Let z(p) = 4*p**2 - 8*p - 57. Let q(k) = 7*x(k) + 2*z(k). What is the units digit of q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*l**2*r**3*v - 2*l**2*r*v + 3*l**2*v - l*r**2*v - 7*l + 536*r**3*v + 37*v wrt r?\nAnswer: 426*l**2*v + 3216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27349061 - 27349061 + 3031*t**3.\nAnswer: 3031*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897 a factor of 5229679952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.34 - 0.04. What is the closest to 0.06 in 3, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/7)*z*z*z**(2\/27))\/(z**4*z**(1\/13)))**(-4\/5) assuming z is positive.\nAnswer: z**(12664\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8650*h. Let l(k) = -11*k. Determine c(l(j)).\nAnswer: 95150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 2*b**2 + 4. Let j(d) = -d**3 + 3*d**2 - d + 5. Let w(u) = -5*j(u) + 6*n(u). Let l be (-39)\/9 - (-3)\/9. Give w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 17901, 33 in descending order.\nAnswer: 17901, 33, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 5, 3 in ascending order.\nAnswer: -6, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - m - 3 = 0, 5*c - 11 = -2*m + 6*m. Let u be (-3)\/(-3)*(c + 0). Is u\/3 + 1504\/12 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/(-20)) + (-4)\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483108213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.078 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/20 - q**4\/4 + q**3\/3 - q**2 + 2*q. Does 3 divide l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464717204*f**5 + 1442980551*f**2?\nAnswer: 27883032240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28df + -1?\nAnswer: 28de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48712927169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 7}. Give prob of picking 3 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48\/(-30))\/((-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:59 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8554855919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 12. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 6*q. Let u be t(4). Suppose 2*z - 4*j = -u + 38, -3*z + 5 = 4*j. Solve 3*w + 2*x + 9 = -x, w - 4*x = z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -44 (b) 6 (c) -5 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.8969029 months?\nAnswer: 0.000241408575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*0.032\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -1\/2*k**3 - 1\/10*k**5 + 0*k**2 - 2*k**4 - 15*k + 0 - 1\/480*k**6. Let v(w) be the second derivative of l(w). Factor v(s).\nAnswer: -3*(s + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -41*y**5 - 1061*y**2\/2 + 603*y. Differentiate t(k) with respect to k.\nAnswer: -2460*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24196*v - 49337*v + 24328*v)*(-5*v + v + 2*v).\nAnswer: 1626*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 22. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-5*q + 2*q + 2*q) + (-3 + 2 + 0)*(2 + 2*q - 2) - 1 - 2*q + 1 + 2*q - 1 + 1 + 6*q + 17*q + 5*q as h + y*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - -14 - -36) + 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 53. Calculate the lowest common multiple of ((-344)\/(-14) - 60\/105) + -2 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37307\/11 - 3391. Factor -2\/11*n**3 + 0*n**2 + 4\/11 + z*n.\nAnswer: -2*(n - 2)*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/4 + 237\/20. Let b be (5 - 1)\/(-3 - -1). Let n be 1 - (3 + (-48)\/28). What is the closest to h in b, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**4 + d**3 - d**2 - 2*d + 4. Let r(l) = 1214*l**4 + l**3 - l**2 - 204*l - 9. Let i(n) = -r(n) + v(n). What is the second derivative of i(k) wrt k?\nAnswer: -14544*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92303323, 92303321, 92303317, 92303311, 92303303?\n\"Answer: -v**2 + v + 92303323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10547 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p**7 + 0*p + 10*p**2 + 1\/112*p**8 + 0 + 0*p**5 + 1\/4*p**4 + 0*p**6 + 0*p**3. Find the second derivative of q(g) wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 59.2 (c) -0.3 (d) -0.58 (e) 7 (f) 0.6 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -3)\/(267 + -268). Let a(j) = -j**2 + 5*j - 7. Let l(p) be the second derivative of 0 + 1\/2*p**2 + 2*p - 1\/6*p**3. Determine h*a(o) + 6*l(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43568 and 4279?\nAnswer: 479248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 9. Suppose 2*u = -4*f - 8, 3*f - 20 = 5*u - f. Let w be r(u). Which is the nearest to 1? (a) -3 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 12\/(1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9598*w + 15184 + 93282 = -217331 - 96515 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/18*(20 - 17). Let p = -31 - -64. Calculate the highest common factor of d and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102951 (base 11) in base 3?\nAnswer: 22101010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498077481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 164, 188, 226, 278, 344?\n\"Answer: 7*c**2 + 3*c + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - v + 23 = 0, 5*p - 5*v = 2*p - 30. Let f(z) = -3*z - 2. What is the units digit of f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 1. Let n(z) = -6*z - 110 - 110 - 110 + 333. Determine 3*n(f) - 8*o(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34476*a**2*c**3 + 10*a**2*c**2 + 4*a**2*j - 22*a*c*j + 2*c**3*j + c wrt c.\nAnswer: -206856*a**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 113*i - 860. Determine h(26).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(-1521)\/(-39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -25. What is the lowest common multiple of f and 1 + 20\/(0 + 2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 3 - -1) + -19 + -9 + 19 + 31\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 1473\/2, 0.63, 4\/7 in decreasing order.\nAnswer: 1473\/2, 0.63, 4\/7, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(18)\/(sqrt(1089)*2)*4 + (sqrt(162) + 1 - sqrt(162)) + 2 + (sqrt(162) - -4*(sqrt(162) + sqrt(162) + sqrt(162) + sqrt(162)*-2)) + sqrt(162))**2.\nAnswer: 3576*sqrt(2)\/11 + 711763\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14734477431852 plus -0.08?\nAnswer: 14734477431851.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 18.68.\nAnswer: 5.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)\/u)**(-1\/4))**(-1\/11) assuming u is positive.\nAnswer: u**(-1\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83017577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by (-20)\/24 - -6 - 1\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1100 - -422974.5.\nAnswer: 421874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7\/84*9\/(-6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-2)\/(-6) - 707\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 815b - 6b?\nAnswer: 80c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r - 2 + 0)*(5*r + r + 4*r)*(-5*r - 5 + 5).\nAnswer: -50*r**3 - 50*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 10) to base 4\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183608?\nAnswer: 2, 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 - -144. Which is smaller: 12\/13 or z?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1012937749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, w: 3}. What is prob of picking 1 w and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5183, 5186, 5191, 5198, 5207, 5218?\nAnswer: 5231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462344 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 6927126.\nAnswer: 20781378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 725 - 10325. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 432*m**3 + 46660*m**2 + 92016*m + 848 = 0.\nAnswer: -106, -2, -1\/108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 12*s + 4. Let d be x(-10). Suppose 2*h + d = 4*k, -2*k + k = -2*h - 15. Let n = -18 + k. Does 26\/7 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 8*p**2 - 4*p + 19. Let n be s(-8). Let k = -52 + n. Is 3\/11 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/84 + 1\/12. Let h(q) = q**3 - 1. Let u be h(-1). Let l be 3\/(u*(-3)\/(-6)). Which is the third smallest value? (a) l (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of (-415)\/(-166) + (-5975)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2*j + 100 - 2*j - 99. Let z(o) = -2*o**2 + 4*o - 2. Let a = -22 - -19. Let q(y) = a*t(y) - 2*z(y). Give q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*s - 10, 25 = 3*v - 2*v + 5*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14051?\nAnswer: 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2. Let q(p) = p + 1. Let b(o) = -7*o - 6. Let w(k) = -b(k) - 6*q(k). Let s(i) = -88*i. Let x(m) = -s(m) - 55*w(m). Determine l(x(f)).\nAnswer: 3267*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 + 133991296.12\nAnswer: 133991296.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 6*x - x + 9, -2*f + 5*x + 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.95. Let y = 0.05043 + g. Round y to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 53, 103, 159, 215, 265, 303, 323?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64824 and -0.0404.\nAnswer: 2618.8896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(-25\/4) assuming b is positive.\nAnswer: b**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018846039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.178 and -0.5.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmuummmmum. What is prob of sequence mmuu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9.416 times 0.4\nAnswer: 3.7664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1450 and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 188.6995456 to 2 dps.\nAnswer: 188.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 13815\/148?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 + 486. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6601, 7511, 8413, 9301, 10169, 11011, 11821, 12593?\nAnswer: 13321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9227077?\nAnswer: 347, 26591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2653813569.\nAnswer: 3, 11, 59, 1363027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 11818.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87423\/80 - -5443\/5. Let b = -1\/1419 + 4001\/2838. Find the common denominator of i and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s**2 + 10 + 74*s**2 - 7 - 3 - 6.\nAnswer: 33*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**12*b)\/b)\/(b\/b**(-15\/4)))\/((b*b\/(b\/(b*b*b\/(b\/b**(-17)))))\/b*b**(-2\/21)) assuming b is positive.\nAnswer: b**(1877\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + m = -2*m + 2, 4 = 2*m. Let n be 24\/(-2)*s\/4. What is the lowest common multiple of 2 and 1*-2*n\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 3. Let j be c(5). Suppose 5*y - 37 = -3*a, -2*a + y + j = 3*y. Solve -a*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (-100)\/(-12) - (66\/(-18) - -4). Let h be 1 - (-36)\/44*1. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 2997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 13*w - 26. Let f(h) = h**2 + 9*h - 17. Let g(c) = -8*f(c) + 5*l(c). Let k be g(5). Suppose -45 - k = -2*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 32*v**3 - 123*v**3 + 3.\nAnswer: -91*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49651400 rounded to the nearest one hundred thousand?\nAnswer: 49700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w - 3. Let j(s) = -8*s + 4. Suppose -2*r + 10 = 22. Let g(z) = r*j(z) - 8*q(z). Let h(d) = d. Give g(h(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 22 - 6 = 0. Suppose 0 = -v - 5*w + 2*w + 301, 1218 = z*v - 2*w. Let d be 5*(-2 + v\/150). Sort d, 3, 0.5 in descending order.\nAnswer: 3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -313128.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*w - 2709 - 3426 = -142*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-6)*(-30)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = 7, 2*a - 67 = -5*h. What is the least common multiple of 1\/(20\/8)*5 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 18*p**3 - 56*p**2 + 155*p + 157. Is t(40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 106 + 238 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**3 - 20*p**2 - 3*p - 3. Let s(w) = 11*w**3 - 21*w**2 - 4*w - 4. Let y(x) = 3*s(x) - 4*t(x). What is the third derivative of y(b) wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -260 - -1?\nAnswer: -25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2168\/19 or 115?\nAnswer: 2168\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let s(c) = 7*c. Let j(r) = 7*o(r) - 4*s(r). Let a(k) be the second derivative of -k**4\/12 + k**3\/2 + 91*k. Determine a(j(m)).\nAnswer: -49*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 9733*z - 273285. Calculate i(28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -23361*p + 116858. Calculate y(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, b: 2}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/9 + 880*s**3\/3 - 2622*s**2 = 0.\nAnswer: 0, 9, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, 0, 39, -3264, -26 in descending order.\nAnswer: 39, 1, 0, -1, -5, -26, -3264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**10\/15120 - v**9\/7560 - v**8\/3360 + v**7\/1260 + v**4\/6 - v. Let y(n) be the third derivative of u(n). Factor y(w).\nAnswer: 2*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -66*k**3 + 3*k**2 - 4*k + 1. Calculate t(1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 3*j, -16*j = -11*j - 5*s - 35. What is the highest common factor of 26 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5649.187ml to litres.\nAnswer: 5.649187","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1 (c) -9\/13 (d) -1 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6436*j**3 - 5*j + 1236 wrt j?\nAnswer: 38616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 123.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 523\/2060 - 2\/515. What is the smallest value in l, -4, -0.12, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 + 0 - (-3757 - -3805)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84195343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/37 (b) 67 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -278*x - 12. Let v(s) = -95*s - 4. Give 4*q(t) - 13*v(t).\nAnswer: 123*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 + t**3)*(-5*t + 0*t - 3*t - 3*t + 2*t + 0*t + (-3 - 1 + 5)*(-t + 4*t - t)) + (-3*t**3 - 4*t**3 + 4*t**3)*(12 - 12 - t).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 4*k. Let s be (15 + (k - 0))*523. Suppose 755 = 5*o - s. What is o rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 88*k + 9. What are the prime factors of u(2)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 49*i + 1127. Let r be y(-23). Solve -110*u + 91*u - 152 = r for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24390, -24408, -24426, -24444, -24462, -24480?\n\"Answer: -18*u - 24372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -6. Let d be (-13)\/(-2 - 9\/l). Suppose 54 + d = 5*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 31 - 32. Let u = -13 + 50. What is the remainder when u is divided by ((-2)\/(-1))\/g*10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 114*m**2 - 2138*m - 531. Give b(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2172585ms in hours?\nAnswer: 0.00000172701625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.006108, 1\/2, -1?\nAnswer: 0.006108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/1)\/(-3 + 4). Let j = 168 - 172. Suppose -4*m = 3*v - 26, -3*m + 2*v = -v - 9. Put m, j, s in increasing order.\nAnswer: j, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(35)\/sqrt(5) - sqrt(7) - sqrt(7))*4 + 3 + (sqrt(175))**2) + (sqrt(7) + -1 + 3 + sqrt(7) + -5 - (sqrt(84)\/sqrt(108) - (sqrt(343) + 1))**2).\nAnswer: -58*sqrt(7)\/3 + 368\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -26. Let f = r + 4. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50270000 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488180871 to the nearest integer?\nAnswer: 38577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/365769 and -47\/21580371?\nAnswer: 21580371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 28 = -2*a, -a = -6 + 10. What is the greatest common divisor of s and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5165*y**2 - 8530*y**2 - 24929*y**2.\nAnswer: -28294*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**7\/42 + 2*d**3\/3 - 4*d. What is the second derivative of r(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 10*x + 81. Let z(l) = -16*l**2 + 50*l + 71. Let r(j) = 3*j**2 - 10*j - 14. Let s(g) = -11*r(g) - 2*z(g). What are the prime factors of s(x)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/29361028 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -9, -1 in decreasing order.\nAnswer: 5, -1, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14231700 and 56700?\nAnswer: 14231700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:36 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.233 + -0.5\nAnswer: 1.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/10924809 and 40\/102809.\nAnswer: 207571371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*x - 22, -4*c + 44 = -4*x + 6*x. Solve c*w + 8 = 7*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 m, and 1 j when three letters picked without replacement from {j: 3, t: 3, o: 2, m: 2, g: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - 6*(sqrt(91) + sqrt(91)*4))\/sqrt(7).\nAnswer: -29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16 - 5*q**2 - 6*q + 4*q**2 + 5*q**2 + 2*q. Let c(s) = -5*s**2 + 3*s - 15. Let z(w) = 4*c(w) + 3*f(w). What is the derivative of z(m) wrt m?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 46*a**2 + 2*a**2 + 45 to the form g*a**2 + t*a + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 568*z - 547. Does 9 divide p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2408119 rounded to the nearest ten thousand?\nAnswer: -2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - 3*c**2 - 10*c**3 + 2 + 8*c**3 as d*c**2 + s*c + x*c**3 + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 39. What is the smallest value in 2\/9, i, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + -4 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25731.75ng in tonnes?\nAnswer: 0.00000000002573175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 7*k - 9. Let n be l(7). Let r be (n - -8)\/((-2)\/6). Suppose -r*b + 4 = -b. Solve 5*w + v + 0*v = 20, -31 = -b*w - 5*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 18 - 2*o - 4*o**4 - 2*o**4 - 2*o**3 + 4*o**4 to f*o + l*o**3 + u*o**2 + q*o**4 + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36522702, 73045407, 109568112, 146090817, 182613522?\n\"Answer: 36522705*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/2 of a century?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-14))\/(3\/(-10)). Suppose -w*i - 41 = 39. Is (2\/4)\/(i\/(-2272)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2)*-3 + -2).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 + 2*m**4 + 12*m**3 - 28*m**2 + 22*m - 6 = 0. What is m?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19046844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -56. Are l and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 495 - 1609?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*1*96\/1320?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19808066 is divided by 111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 10*o - 9\/2*o**2 - 5. What is the first derivative of d(j) wrt j?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 3 - 5*h + 2*h)*(15*h**2 - 7*h**2 + 10*h**2) + h**3 - 7*h**3 + 0*h**3.\nAnswer: 66*h**3 - 54*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1421 and 71\/12079312.\nAnswer: 84555184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**(5\/2)\/((l\/l**(-1\/2))\/((((l**(1\/9)\/l)\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + -0.23. What is the nearest to 2\/5 in 5\/2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7047826*q + 5472 = -7047922*q for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*t + 3*t + 57, 0 = -5*j - 5*t + 55. Let i be ((-4)\/(-28))\/(4\/j). Let k = -77 + 78. Is i != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 146, 261, 390, 521, 642, 741?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17387 is divided by 91?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979 = 190*u + 208*u - 6185 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 20100*v**3 - 28145*v**2 + 48592110*v + 946158640 = 0. Calculate v.\nAnswer: -4018, -29, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*v = 26, -4*v + v = -9. Is 14 a factor of (-396)\/(-14) + 4\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -230. Suppose g - b = -0*g. Let u = g - 100. Round u to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 17. Let y(s) = s + 7. Let p be y(j). Calculate the highest common factor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114507 = -2*d - l - 2*l, -4*l = d - 57261. Let k = d + -4122035\/72. What is the common denominator of k and -11\/21?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-22 - (-29 - 21)) + (18 - -2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159656572 by -62.\nAnswer: -2575106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-15)\/9*(-2)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 2. Let n(w) = -4*w + 7. What is -n(t) - 6*r(t)?\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-6 - (-3)\/1). Find the second derivative of -6*s**2 - 11*s**3 + 10*s**a + 6*s - s + 38*s wrt s.\nAnswer: -6*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -15114.2863\nAnswer: 15114.7863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1451*410\nAnswer: -594910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (8 - 3 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -484 + m - 2*m + 492. Suppose -4*d - d = 80. Let t(r) = r**2 + 17*r + 22. Let l be t(d). Give i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1359, -1469, -1579?\n\"Answer: -110*v - 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*v**4 + 1440*v**3 - 9720*v**2 + 29160*v - 32805.\nAnswer: -5*(2*v - 9)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1323 - 1322.9269. What is r rounded to three decimal places?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4*w - 27. Suppose 26 = 5*b + 66. List the prime factors of z(b).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd6 + 3?\nAnswer: dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 + 3*g - 13. What is n(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677773746 + 30.1?\nAnswer: 4677773776.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31805849 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: Solve 5*j + 180 = -91606*z + 91601*z, -z - 48 = 4*j for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/19 - 45\/38. Sort o, 0.22, -3 in decreasing order.\nAnswer: 0.22, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*w - 2*w - 58 = 0, -4*l + 44 = 2*w. Let z be (-1000)\/(-28) - (-2)\/7. Let x be l\/16 - 19\/z. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*l*u - j**2*u + 70*j*l**2 + 2*l**2*u - 141*l*u wrt j.\nAnswer: -4*j*l*u - 2*j*u + 70*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 9*n - 3\/2*n**2 + 8\/3*n**3 + 0. Is b(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 88 = 16. Suppose -2*c + 3*j = -10, 3*c - 38*j = -36*j + 20. Calculate the highest common factor of g and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 741275, 1482550, 2223827, 2965106, 3706387, 4447670, 5188955?\n\"Answer: s**2 + 741272*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let x(r) = -3*r - 2. Let a(k) = -2*j(k) + x(k). Let n(h) = -4*h - 4. Calculate 3*a(m) - n(m).\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 20. Suppose w*o - 2*o = 36. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104\/17*t - 20\/17*t**3 + 64\/17 + 18\/17*t**2 + 2\/17*t**4 = 0 for t.\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - c + 1. Let o(x) = -13*x**2 - 353*x - 7. Give 2*o(f) + 14*q(f).\nAnswer: 2*f**2 - 720*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-5 - 2)) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-7) - (-7 - 0). Suppose b*f = 2*l, f = 2*f + l. Solve -4 = -f*h - 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.76 - 0.26. Let d = 2.06 - n. What is d rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -91 (b) 2\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -41 + 3 + -6 + -4. Put r, -1, -2, 2 in descending order.\nAnswer: 2, -1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:05 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 6:18 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -15*f**2. Suppose -8*w = -20 - 28. Let s(u) = 13 + 2*u + w - 19. Calculate s(x(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/150 - p**4\/15 + p**2 - 47*p. Factor y(g).\nAnswer: -2*g*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0926, -2\/21, 1\/2, -4.\nAnswer: -4, -2\/21, 0.0926, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293333 (base 12) to base 14.\nAnswer: -13d619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/5 - 83136*h\/5 - 83133\/5.\nAnswer: -3*(h + 1)*(h + 27711)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11750 = 264*o + 123*o + 55*o + 28*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -39.7. Let i = 0.6 + -0.5. What is the third smallest value in -0.5, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-6) - 9\/(-27). Suppose 2*v - 4 = 3*v. Let q be ((-3)\/2)\/((-1)\/(-2)). Put v, m, q in decreasing order.\nAnswer: m, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615, -614, -611, -606, -599?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-6)\/3))\/(5*(-21)\/(-35))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.4. Let u = -0.5 - j. Let n be 5\/(-4) - (-2 - -1). Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**23\/q**(-20))\/(q*q**12)**(-2\/31))**28 assuming q is positive.\nAnswer: q**(38052\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28))\/((-1145)\/(-8015)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 + 5*i**3)*(-404*i**2 + 126*i**2 + 85*i**2) + 0*i**5 - 2*i**5 + 4*i**5.\nAnswer: -963*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11 = -2*s, 3*c = 2*s - 5*s - 9. Let l(j) be the first derivative of 27*j**2\/2 - j - 53553. Give l(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-3\/17)))\/(t\/(t\/(t*t*(t\/(t\/(t\/((t**(-18)*t)\/t))))\/t*t)))*(t\/(t**(5\/6)*t*t))**(6\/7) assuming t is positive.\nAnswer: t**(-2826\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a + 2 = 5*j, 5*a - 22 = -j. Let o(u) = j*u - 12*u + 15 + 9*u. Let t be o(10). Sort -4, t, -1, -5 in decreasing order.\nAnswer: t, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13453 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: What is the derivative of 10101583*i**2 + 6395411 wrt i?\nAnswer: 20203166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(-127*t - 79*t + 43*t).\nAnswer: 163*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*b**4 + 331*b**3 + 29*b**2 - 1861056*b wrt b.\nAnswer: 744*b**2 + 1986*b + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -6. Let u(v) = -v + 1. Let k be u(-2). Suppose 5*j - 24 = -k*w, -3*j + 0*w = -4*w + 3. Put -1, b, j in descending order.\nAnswer: j, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*w + 1003, 4*q = 3*w - 2*w - 509. Suppose -9214*u + 9351*u = 19454. Calculate the greatest common factor of u and w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**3 + h**2 + 4*h - 3. Let y be n(1). Put 2, y, -46 in ascending order.\nAnswer: -46, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27\/266 - 7\/38. Which is the nearest to 2? (a) -3 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s**3\/3 - 1347080*s**2\/3 + 41241344047*s\/3 + 7498470722\/3 = 0.\nAnswer: -2\/11, 61231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507869 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-8))\/(11\/(-6974)).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + 101\/(-3). Let a = w - -45. What is the least common multiple of a and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765451021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 49 - 61 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101000111011001010001 (base 2) to base 5\nAnswer: -320403014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:19 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.09.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*a - 32*a + 5*z - 18, a + 5*z - 19 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n + 62*n + 51*n)*(-7*n**2 - 2*n**2 + 2*n**2) as c*n**2 + f*n + m*n**3 + k and give m.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2015 = 5*w, 5*w + i - 400 = 4*w. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -13 - (8 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1365*o + 6860. Let h be u(5). Solve 9*m = 10*m - 4*w + 15, -2*w = 5*m - h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 996?\nAnswer: 996.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqfqqfqfqqqfqqnqqnf. Give prob of sequence bfq.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72063603 is divided by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 6*n - 48. Suppose 0*y = -3*y + 207. Calculate the remainder when y is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5 - 8*w**2 - 5*w**2 - 4*w**2 + w. Let j be v(-4). Let c = 417 + j. What are the prime factors of c?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 2 c when four letters picked without replacement from {r: 2, z: 4, d: 1, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-1)\/(-900)*-4.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 65*j - 1024. Determine p(-34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289575, 289399, 289223, 289047?\nAnswer: 288871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2572.688888+-28.02\nAnswer: 2544.668888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/16) - 1. Let m be 6\/i*(0 - 3). Let s(r) = -r + 5*r - 4*r + m*r. Let t(g) = -6*g**2. Determine s(t(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 6*q**2 - 4*q + 3. Let n(c) = 8*c**3 - 25*c**2 + 18*c - 12. Let b(x) = -9*a(x) - 2*n(x). What is b(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143322?\nAnswer: 2, 3, 23887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 8*b + 42. Suppose -t + 2*c = -2*t + 21, 4*t + 5*c - 69 = 0. What is the remainder when 34 is divided by r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(((-5)\/(-6))\/((-24975)\/540)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h - 6. Suppose -h*w - 1 = -5*s + 9, -2*s + 4 = 3*w. Which is bigger: w or -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -89355595933 and -64?\nAnswer: 89355595869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 95 * 137016\nAnswer: 13016520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 2*d - 2*d - 4*d + (9 + 5 - 4)*(-10*d - 5*d + 9*d) to z + i*d and give i.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 5*a**2 + 14*a - 1. Let q(x) = 5*x**3 + 5*x**2 - 15*x + 1. Determine 6*b(s) + 5*q(s).\nAnswer: s**3 - 5*s**2 + 9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840.329mm in centimeters?\nAnswer: 584.0329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n + 149*n - 156*n = 16587 for n.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j. Suppose 2*k + 2 = -16. Let h = j - k. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 + 28*i - 14. What is the remainder when 11 is divided by t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. What is the second derivative of a + 0 - f - f**4 - 3 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110145 is divided by 229?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/3 - 4\/(-6). Let q be (-3)\/2*(-136)\/t. Suppose -3*z + q = u, -4*u = -2*z - z + 7. Solve 0 = h - 0*h + z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026736036.\nAnswer: 2, 419, 612611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 2, -0.044, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:20 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, -6, 53, -4 in descending order.\nAnswer: 53, 5, 3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**3 + u**2 - 1. Let d be l(-1). Suppose 0 = 5*j + 15 - 10. Which is the closest to j? (a) 0.3 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.0362 meters to nanometers.\nAnswer: 942036200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -110, -3\/2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 19*f = 14. What is the remainder when 79 - (f + -5 - -15) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -19*v**3 + v**2 + v - 1. Let o(n) = 8*n - 207. Let u be o(26). Calculate y(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 at least 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from {z: 9, r: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5108 (base 14) to base 9\nAnswer: -21081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26214759 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-28) + 23\/(-4). Let o be -1 + 1 + 1 - (-55)\/c. List the prime factors of 35 - 1 - 11\/(55\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = 2*t, 0 = -2*t + 3*x - 6 + 20. Solve -5*k = 5*p - 35, 2*p - 28*k - t = -25*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - -2*sqrt(384))*-6)\/(sqrt(18)\/(2*sqrt(216))) + -1.\nAnswer: -1224*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*g - 4*t + 516 = 0, 2*g = -5*t + 117. What is the greatest common factor of g and 1067?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.25255 - 5.447. Round f to three decimal places.\nAnswer: -0.194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**2 + 18*l**2 + l**2 + 14*l**2 + 91*l**2 - 29*l**2.\nAnswer: 62*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436846, 436845, 436844?\nAnswer: 436843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((sqrt(95) + 5*(sqrt(95)*-2 + sqrt(95)) + sqrt(95) + sqrt(95) - sqrt(95))*-6)\/(-2*sqrt(125)*2 + sqrt(125)))*4)**2.\nAnswer: -384*sqrt(19)\/5 + 12544\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 1 + -13 + 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 21*b**2 + 37*b + 33. Let k be v(-15). Suppose 0 = 3*x - x + 2*p - k, -7594 = -2*x + 2*p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 + 74*y**3 + 388*y**2 - 5744*y - 24960 = 0.\nAnswer: -26, -15, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 36764960.\nAnswer: 110294880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 39. Let x be d(-9). Suppose x*s + 30 = 2*s. Which is smaller: s or -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/12 + 25*r**3\/3 - 166*r - 2. Suppose w(d) = 0. What is d?\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -408.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3316619 + 0.0396.\nAnswer: -3316618.9604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -10, 7*d - 4*u = 3*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -2\/3*s**3 + 1\/15*s**5 + 3*s**2 + 0*s + 1\/12*s**4 + 0. Is 13 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/((-44)\/110)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -2 - (-96 + 104) - -29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 441 - 405. What is the smallest common multiple of o and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/79, -9\/2, 1\/3, 3?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.067 - -1.0669775. What is i rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 22, -1, -42?\n\"Answer: -9*r**2 + 22*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 11, -0.27, -2\/3, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:20 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 6*t + 2. Let z be a(7). Let f = z - -8. What is the tens digit of 4\/6 + 31\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u**2 + 0*u**2 + u**2)*(-2 + 4 + 0).\nAnswer: 4*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlkw when four letters picked without replacement from sslsksww?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 27097997.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewexeeeeexw. Give prob of picking 2 w and 2 e.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:00 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56847970931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*f - 748 = -215 - 198 + 76 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3501, 6611, 9345, 11703, 13685?\nAnswer: 15291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + f**2 - f**2 - 8*f**2. Let u(h) = -7*h**2 - 4*h. Suppose -3 = -6*a + 33. Give a*u(d) - 5*v(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -993958, 4, 5, 3 in descending order.\nAnswer: 5, 4, 3, -993958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*h - 173, 2*h = -2*h - 5*q + 349. Let u = -31 + h. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1330060, -1330063, -1330066?\n\"Answer: -3*j - 1330057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*x - 62, -3*x - x - 54 = -h. Suppose -6*o + h*o = 80132. List the prime factors of o.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179597000 to the nearest one million.\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 0*i**2 + 4*i**2 + 69 - 69.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*20\/(-12)*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 95151*n**3 + n**2 - 1. Let y be l(1). Suppose y = -h + 18151. What is h rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77004 by -1426.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143945, 143963, 143979, 143993, 144005?\nAnswer: 144015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f + 1. Let r be a(-3). Suppose 0 = 6*k - 4*k - r. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-22 - -75) - -56.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 54, 86, -2 in decreasing order.\nAnswer: 86, 54, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/6)\/4*(-589095)\/(-13091).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126923\/117600 - 15107\/2400. Let i = u + 1\/980. Calculate the common denominator of 73\/14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35979 (b) 0.4 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3148, -6189, -9090, -11845, -14448, -16893?\n\"Answer: z**3 + 64*z**2 - 3240*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/49818874 and -67\/520030.\nAnswer: 249094370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, o: 1, c: 4, f: 1, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*v**2 + 797052*v - 174681114.\nAnswer: -50*v + 797052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 219.\nAnswer: 1, 2, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 8a62?\nAnswer: 8a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j. Suppose 3*x = -0*x - 12. Let z(t) be the first derivative of -10 + 0*t + 1\/3*t**3 + 1\/2*t**2. What is x*m(u) + 2*z(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/3*(-1 + (-63)\/6). Let t = r + -251. Solve 0*u + 2 = t*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, d: 5}. Give prob of picking 3 d and 1 t.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w - 235. Suppose 15 = 5*t - 2*b + 171, -96 = 2*t + 4*b. Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:47 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 2*m**2 - 2*m - 4. Suppose 0 = 26*p - 1580 + 13488. Let u = -455 - p. Calculate q(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 39. Let k = n - -3.024. Let u = k + 0.776. Round u to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 80. What is the second derivative of 11*s + 58 + 18*s**3 + b*s - 58 wrt s?\nAnswer: 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108343 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 4*x + 1. Let g(q) = -q**2 - q. What is 6*g(h) - w(h)?\nAnswer: -h**2 - 10*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, z: 2, h: 3}. What is prob of sequence zzx?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w - 102. Let q be r(-15). Suppose -q*c + 15*c + 1698 = 0. List the prime factors of c.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312657 is divided by 104215?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -3*p**3\/2 - 6*p**2 + 2*p. Let x be y(-12). Suppose 5*h - 169 = x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 6 - 6 - 4*c**3 - c**3 as n*c**2 + z + w*c**3 + b*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18 and -19\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 49000 = 5*j. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, -5 in ascending order.\nAnswer: -5, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*j**5\/5 - 1496*j**4\/5 + 266*j**3\/5 + 7732*j**2\/5 - 1408*j\/5 + 64\/5 = 0. What is j?\nAnswer: -2, 1\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40210314 + -3141?\nAnswer: -40213455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 17. Let l be h(-9). Is (-1041)\/5*(8 + 13\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48115170?\nAnswer: 2, 3, 5, 37, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3343, 3219, 3097, 2971, 2835, 2683?\nAnswer: 2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115362 and 3306?\nAnswer: 2191878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 18*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*161\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 1. Suppose 33 = 4*v - 5*i, -v + 0*v - u = 2*i. Let o = -37 + 40. Solve -o = -w - v*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-13)\/312*-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 17 = 9*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 16. Let s = -18 + k. Suppose 3*i = 2 - 11. Put -4, s, i in descending order.\nAnswer: i, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26150 equal to -26152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14601 or -14600?\nAnswer: -14601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 1:15 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2 + (-15)\/6) + 16. Find the common denominator of i\/(-16) - 166\/(-168) and 113\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 - -6) + -2)*1. Let a(w) = w + 11. Let y be a(0). Let g = z + y. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 1\/4 (c) -1\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56330?\nAnswer: 2, 5, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 4 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32858767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 13 - (5 + 2 + -4).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (32\/(-24) + 1)\/((-4)\/51). What is the smallest value in 3, 0, z, -1705, 2?\nAnswer: -1705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165874002 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 3 + 69 + -63?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fndeapf. Give prob of picking 1 e and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 12*x**2 + 13*x - 7. Let s(g) = -2*g**3 - 8*g**2 + 8*g - 5. Let j(p) = 5*h(p) - 8*s(p). Determine j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56592 and 2620?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (235 - 198) + (-11 - -38 - -8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i - 26. Let m be g(-7). Let k = 133 + m. What is the highest common divisor of k and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43844*i**4 - 146*i**3*k - 2*i*k + 121*k + 391 wrt i.\nAnswer: -526128*i**2 - 876*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 3125736*f**3 - 1221284444168*f**2 - 4885100267904*f - 4885087764992.\nAnswer: -2*(f + 2)**2*(f + 781432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -21. Let y be (t\/6)\/((-1)\/(-16)). Is 14 a factor of ((-74)\/8)\/(2\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6439990 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-10))\/(20\/10750). Suppose y = 8*f - 3*f - i, 0 = 5*f - 2*i - 1285. Calculate the highest common factor of 37 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 h when three letters picked without replacement from {l: 1, h: 3, q: 1, d: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2) - (sqrt(48)\/sqrt(3) - sqrt(16))\/sqrt(8)) + sqrt(2))**2 + (sqrt(2) - sqrt(32)) + 3 - (-2*sqrt(1944))\/(sqrt(60)\/(sqrt(10)\/sqrt(2))).\nAnswer: 12 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 27258 = -32*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 - 6*k - 12. Let g = 10 - 15. Let m be u(g). Put 0.4, -1, m in descending order.\nAnswer: 0.4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19442 + 92.20774508\nAnswer: 92.01332508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12093*s + 12119*s - 240 - 150 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)*3 + -2*sqrt(288))*-4)**2 - (sqrt(72)*1 + sqrt(18) - sqrt(90)\/(-2*sqrt(5) - sqrt(5))).\nAnswer: -10*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 70 = -0*m. Calculate the remainder when 48 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1324 and 2357382?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1098533.4 to the nearest 1000.\nAnswer: -1099000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u. Let z(k) = 3*k**2. Give x(z(g)).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2786659 and 0.328023?\nAnswer: 2786659.328023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14410680 divided by -165640\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 (base 6) in base 8?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s + 5. Let w(u) = -16*u + 4. What is 2*m(z) - 3*w(z)?\nAnswer: 20*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 517831, 517746, 517649, 517540, 517419, 517286, 517141?\n\"Answer: -6*y**2 - 67*y + 517904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20261*c**5 - 9*c**3 - 109*c**2 + 23816478*c - 5 wrt c?\nAnswer: 405220*c**3 - 54*c - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.16 - 13. Let j = -0.09 - z. Let w = -0.42 - j. Round w to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22100 - -233203?\nAnswer: 321303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - h**3 + 0*h**3)*(-21 + 2 - 9)*(-5*h + 5*h + 3*h + 9).\nAnswer: -168*h**4 - 504*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -13. Let s = j + 55. What is s rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24852321 rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 0*u - 640. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 1\/6*d**4 + 1\/2*d**2 + 5\/2*d**3 + 0 + 6*d. Is n(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(1100) + -1 + (0 + 2 + sqrt(1100) - sqrt(1100)))*-4)**2.\nAnswer: -720*sqrt(11) + 158409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/1*(-9)\/(27\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24.45016 years?\nAnswer: 0.2445016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28434 is divided by 290.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*p**3 - 110504*p**2 - 887968*p - 1778560.\nAnswer: 2*(p + 4)**2*(41*p - 55580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/44*52\/(-819)*9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 14*i**2 + 14*i. Let q be h(-14). Let p = -191 - q. What is the fourth biggest value in 0, -0.07, p, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -37\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48299663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2645, 2644, 2641, 2636, 2629?\nAnswer: 2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14*d + 22*d**3 + 3493*d**2 + 3*d - 1.\nAnswer: 22*d**3 + 3493*d**2 + 17*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o + 3*o)*(3*o**2 - o**2 - 3*o**2) + (6 - 3 + 5)*(o**3 + 1 - 1) to f*o**2 + i*o**3 + j + r*o and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2865*v - 2880*v = -65865. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j + 3 - 3.\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 161415351?\nAnswer: -161415350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*h - 4750 = -1541*h for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207054911?\nAnswer: 7, 373, 79301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2448)*-2 - (sqrt(2448) + sqrt(2448) + 1*sqrt(2448)*-3))**2 + (-4 + sqrt(2448) + sqrt(2448)*3 + -1)**2)*-3.\nAnswer: -1006203 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 50 - 35 + f**2 + 0*f**2 + 13*f. Let n be o(-12). What is the nearest to 0 in n, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h + 4*b, -2*h - 3*h = -b + 13. Let s = 3 + h. Suppose 4*c - 329 = -5*v - 112, s = -3*v + 3. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -369*d + 11918. Determine g(33).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234143683?\nAnswer: 3, 1867, 132961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hunnuunu. What is prob of picking 1 n and 1 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 3. Let f = 0 + w. What is the third biggest value in -5, 3\/4, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*f + 2, -3*f + 5*g = 9*g - 5. What is the greatest common factor of 9 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzk when four letters picked without replacement from zzzzzkzzkzz?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 16830315*x + 504913950.\nAnswer: -5*(x - 3366093)*(x + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 + 2*r**2 - 2. Let o be p(1). Let i be o + 8 - 12*(-6)\/(-9). Sort -37, 5, i.\nAnswer: -37, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/24 + z**3\/6 + z**2\/4 - 11*z - 1. Solve v(f) = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 141*g**2 + 548*g + 197. Determine u(137).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(208) + sqrt(13))*-6.\nAnswer: -180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 249568 in increasing order.\nAnswer: 2, 5, 249568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 5*p, -2*p = -3*s + 2*p + 44. Sort -2, 0, s, -4.\nAnswer: -4, -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11067 + 140*u - 11067)*(6 + 2 - 1).\nAnswer: 980*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 7*j**3 - 9*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 2*z. Let s(p) = 4*p**2 + 9. Let o(t) = 12*t**2 + 28. Let u(v) = z*o(v) - 10*s(v). Differentiate u(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0 + 9\/70*g**7 + 1\/3*g**5 + 13*g**2 + 0*g**4 + 0*g + 0*g**6 + 0*g**3. Find the third derivative of r(u) wrt u.\nAnswer: 648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (449 + 18)*(2 - 1). Let r = 669 - o. Suppose 0 = 4*s + 4*f - 264, s + 2*s - r = -f. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 228*w + 132. Let x be v(-11). Let y = -4663\/2 - x. What is the common denominator of -65\/694 and y?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2370*j**2 + 528*j**2 - 989*j**2 + (-2 + 2 - 3*j)*(-4*j + 5*j + j).\nAnswer: -2837*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 738\/5 + -147. Let m = 3.138 - 2.938. Which is the closest to f? (a) 3 (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 35 = 11*n. Let w be (42\/52)\/((-4)\/(-40)*-5). Is w < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144 + 78813\/(-556))*-7?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.629 + -1.029. Suppose 2*n = n - 5. What is the nearest to 0.3 in n, v, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d**2 - 12*d**2 + 15*d**2.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyn when three letters picked without replacement from lynonnhnnonnynnnnln.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/168 and -7\/624?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-4))\/(66437917\/(-5536492) - -12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -276, -274, -272, -270, -268?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 5, j: 3, y: 3, n: 1}. Give prob of sequence yypj.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 300947864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + 3769038?\nAnswer: 3769133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 0*b + 0*b - 2*b. Let u be o(-3). Suppose -7*g - u*g = -360. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3952, 30877, 103956, 246265, 480880?\nAnswer: 830877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 58 = -22. Suppose -2*l - c = l. Is -4 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9\/r**(-2\/11)*(r*r**(-3)\/r)\/r*(r*r*r*r**(1\/6))\/r assuming r is positive.\nAnswer: r**(485\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146863 = -76*q + 375407 + 282114. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 820201160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 40160663.81 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 8*x + 5. Let n be h(4). Suppose -5*m = -p + 694, 2*p = 6*p + n*m - 2851. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - l. Let f be z(-2). Let r = -4 + f. Let x be 3\/r*0 - 0. Is -1\/4 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 719580 and 540.\nAnswer: 6476220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3)*b\/(b*b*b\/(b\/b**1*b)))\/(b*b**(-1\/4)\/b*b**(1\/3)))**20 assuming b is positive.\nAnswer: b**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -7*y**4 + 4*y**3\/3 + 3*y**2\/2 + 62. What is the third derivative of a(j) wrt j?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445452 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 take away 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16 (b) -1\/649 (c) -0.2 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*x + c, 3*x + 3 = -0*c + 3*c. Suppose -x*r + 0*r = 0. Suppose r*h + 80 = 4*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1 + 1 - 6*q**2. Suppose -4*g - 12 = -40. Let y(r) = 4*r - g*r + r. What is v(y(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 3:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.75 + -49. Let i = d - 40.75. Let w = -36.98 - i. Round w to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 3*j + 5. Suppose 4*s - 4 = -2*k, k + s + 29 = 3*k. Suppose -a - k = 3*a. Let d be g(a). Solve 3 = -5*o + w, w - 2 = -o - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by -8?\nAnswer: 103\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**4 + 0*l**4 + 6*l**4 - 2*l)*(1 - 1 + 5).\nAnswer: 75*l**4 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 23. Let m(w) = -3*w + 24. Let p(f) = 4*l(f) - 3*m(f). What is the units digit of p(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.0671ml in litres?\nAnswer: 0.0250671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/20 + k**4\/12 - 429*k**2. What is b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73224537*l**2 - 5*l + 3356252 wrt l?\nAnswer: 146449074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 6 + 79*p + 67*p.\nAnswer: 146*p + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3415, -3398, -3381?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2 + -3)\/2. Let g be 1\/(-3) + (-19)\/(-21). Suppose 0 = -m + 3*k - 20, 7070*m = 7073*m + 3*k - 36. Which is the closest to o? (a) 0.4 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-14) + (-120)\/84. Does 4 divide 6*(0 + o\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 16*l + 63. Let a be v(-3). Suppose 2*k + a = -k - 3*f, 0 = -5*k + 3*f + 22. Let t(u) = 5*u + 1. Let r be t(1). Solve -o + r = k*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 5 + 1 - 3 - 2*i**3 - 6*i**2 + 3*i**3. Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 14, -66, -4 in ascending order.\nAnswer: -66, -5, -4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - (-99)\/(-189)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 6. Let n be b\/9 + 165\/9. Solve 3*z - 2*m + 0 + n = 0, -4*m = -z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 121*m + 146. Let o be h(23). Let j(g) = g**3 + 4*g**2 - 3*g + 2. Let d be j(-3). Calculate the highest common divisor of d and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1883*z**2 + 16489*z**2 - 1763*z**2.\nAnswer: 16609*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*l - 2*f = -118*l + 8, -128*l = -f + 383 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 23. Which is the closest to 2? (a) 0 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*t - 19. Solve -t*u = 9 - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6332, -11277, -16222, -21167, -26112?\n\"Answer: -4945*c - 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002012451346 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + t**5)*(-3 + 0 + 0) - 8*t**5 + 9*t**5 - 7*t**5 + 0*t**3 + 0*t**3 - 2*t**5 + (0*t - t + 0*t)*(-t**4 + t**2 - t**2).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63810 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/28 and -8\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let n(g) be the second derivative of 0 + 7*g + 1\/4*g**4 + 0*g**2 + 0*g**3. Determine c(n(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from pqyor.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27790 is divided by 109?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 - 5*w**3 - 14515*w**2 - 97*w + 4422 wrt w.\nAnswer: -12*w**2 - 30*w - 29030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 >= 2\/127239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*l + 493*l - 4*k = -10, -5*k + 11 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 12*g**2 - g - 12. Suppose -3*h - p = -2*h + 8, h = -4*p + 4. Let o be l(h). Factor o - 2*j**2 + 2 + 3*j**2 + 3*j.\nAnswer: (j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 32 + 22 + 2*t + 2*t + 28.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -780*p - 969. Determine a(-2).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38731095908 and -0.5.\nAnswer: 38731095907.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 100 = 17*b. Solve 17 = 3*k + 2*p, -2*k - 4*p = -p - b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94826415499 minus -0.4?\nAnswer: -94826415498.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4604720898?\nAnswer: 2, 3, 853, 899711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -1.376. Let b = -0.423186 + i. Round b to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19181 is divided by 538?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - t - 231422, 0 = -83*b + 88*b + 3*t - 231434. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-1 - -9)*102\/(-24) - -6. Put -1, j, 0, 5, -2 in increasing order.\nAnswer: -2, -1, 0, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000168977643 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 11862186181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -6)*3\/(-5). Let w = -74 - -65. Does 2 divide 8\/(w\/i + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10201065 and 2625.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2133441 - -1003?\nAnswer: 2134444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-49) + (-48)\/364\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1733*a + 158081 = 320*a for a.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 11*h + 11*h + 31*h**3 - 2*h**2 - 2*h**3 + 2*h**2 - h**3 + 0*h**3 + 2*h**3 + (-h + 1 - 1)*(-1 + 1 + 2*h**2).\nAnswer: 28*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5, -5.63, 0, -3\/2, 2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**6\/1800 + 3*q**5\/200 + 7*q**3 + 32. Let m(w) be the third derivative of r(w). Suppose m(c) = 0. What is c?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -25, -32?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 9) in base 6?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -14. Let b(l) = -3*l**2 - l - 12. Let p be b(-14). Calculate the common denominator of 20 and z\/8 - p\/(-176).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x + 25 = 2*s, 0 = 4*s - x - 49. Suppose 0 = -s*y + 9*y, -4*y = 3*p - 57. What is the highest common factor of p and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**2 - 3465*j + 1730.\nAnswer: 5*(j - 346)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 772 = 4*j, -5*d = -j - 2*j + 579. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5763 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33953 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306525 (base 8) in base 14?\nAnswer: 96861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056359641 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 2*x + 9*x)*(26 - 11*x**3 - 26) - 7*x**4 - 4*x**4 - 3*x**3 + 8*x**4.\nAnswer: -25*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -652 - -648.23. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + 2. Let j be f\/3*1*234. Suppose w + 264 = 5*q, 0 = 8*q - 3*q + 4*w - 244. Calculate the highest common factor of q and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3)*(1079 - 1079 + 76*z) as t*z + m and give t.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 1169\/105 - 5. Let k be 1*(-2)\/40*10\/(-12). What is the nearest to 1 in q, 0, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - (-53)\/(-4). Calculate the remainder when 23 is divided by (1 + -1)\/2 - d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = 7*a. Which is greater: 13\/6 or a?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3) + -1 - -14. Is 5\/20 - (-3009)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/68621 and -40\/147.\nAnswer: 1441041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 2\/11, 64, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 5, 2, 19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 939\/(-572) - (3 + -5). Let a = -9\/44 + t. Factor a*w**3 + 0 + 4\/13*w**2 + 2\/13*w.\nAnswer: 2*w*(w + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1955)\/(-119) + 9 - 40\/(-70).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3102*x**3 - 3851*x**2. Let c(h) = -34124*h**3 - 42362*h**2. Let q(l) = -23*a(l) + 2*c(l). Find the third derivative of q(v) wrt v.\nAnswer: 18588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 45. What is the greatest common divisor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h - 9*y + 6*y, 3*h - y - 56 = 0. Solve 0 = h*t + 8 + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/133049 and -67\/266.\nAnswer: 5055862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*a + 2883, -5*d - 2877 = -3*a - 2*d. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6544 + 6546. Which is smaller: 124\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3143 - 3146 - 3*s - 2*s. Give g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + 5. Let q be s(0). Suppose 4*x + 29 = 3*f, -5*x + 4*x = q. Suppose u = -2*d + 5, -d - 20 = -4*u - f*d. Solve 0 = 2*a + u + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 9*k**2 - 15*k + 86. Calculate t(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11121096*t + 11250473*t + 3 - 3)*(0 - 1 + 3) as q*t + b and give q.\nAnswer: 258754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:53 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.5 - -13. Let q = 10 + -9.9. Let u = 0 + q. Which is the second biggest value? (a) u (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1072 (b) 0.03 (c) 1\/3 (d) -5 (e) -0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67976 and 464.\nAnswer: 135952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741772852 to the power of 1\/4, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 3)*(-156 + 156 - 12*g)*(0 + 0 + 2*g**3).\nAnswer: -96*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 77331.\nAnswer: 2551923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(((-4 + 3 + 2)*(-3 + 3 - 2*x) + x - x - 2*x)*(-4*x**2 + 3*x**2 - 2*x**2) + (-x**2 - 2*x**2 + x**2)*(-x - 3 + 3)).\nAnswer: -70*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-279870)\/(-23322) - 13 - -1. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 11}. What is prob of picking 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -263737 - 2*j + 263737. Let f(v) be the second derivative of -v**3\/6 - v. Calculate f(a(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l + 11 + 4*l + 5*l)*(-24*l**2 - 63*l**2 + 15*l**2) in the form x*l + z*l**2 + o + k*l**3 and give k.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534*u + 554*u - u**2 - u**3 + 11*u**2 to g*u**2 + w*u**3 + d + k*u and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -11*u - 44. Solve -4*s - p = -18, u*s + 8*p - 5*p = 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -6*x**4 + 32702*x**3\/3 + 468950*x**2\/3 - 391774*x\/3 - 36620 = 0.\nAnswer: -15, -2\/9, 1, 1831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u + 54*u + 83*u + 23*u + 2*u - 1 + 1 + 2*u + 3*u - 3*u + (-1 + 2 + 0)*(4*u - 2*u + 0*u) - u + 0*u + 0*u.\nAnswer: 181*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by ((-1 - (-2 - 0))*(49 + -2))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441831 and 102?\nAnswer: 15022254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 88*l**2 - 139*l - 7. Let h(a) = -154*a**2 + 245*a + 12. Give -9*h(u) - 16*s(u).\nAnswer: -22*u**2 + 19*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3695 = 5*g, 517 = 3*g - 2*i - 1704. What are the prime factors of g?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 7*o - 4 - 2*o)*(2 + 2 - 1) as s + r*o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/5 + 3806*c**3\/5 + 1804986*c**2\/5 - 1088326*c + 3632836\/5 = 0.\nAnswer: -953, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/605 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30 - 0\/(-3 + 6). Let c be (5\/(-3))\/(t\/(-108)). Solve 5*z + 26 - c = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3275 divided by 4.\nAnswer: 3275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 15*w + 11968. Let t = w + 1368. Is 62 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 + -146. Suppose 5*j - 1633 = 4*a - 2*a, 5*j - 1645 = t*a. What is the highest common factor of 52 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068 bigger than 5069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let x(o) = 46*o + 1. Let n(u) be the second derivative of 31*u**3\/2 + 3*u**2\/2 + 7*u. Let s(v) = 3*n(v) - 7*x(v). What is p(s(y))?\nAnswer: 1849*y**2 - 172*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let x(l) = l**3 + l**2 - 1. Let v(z) = 2*z**2 + z - 4. Let r(f) = f**3 + 6*f**2 + 2*f - 11. Let t(y) = 3*r(y) - 8*v(y). Calculate s*x(h) - t(h).\nAnswer: -h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 4*u - 20. Suppose 934 = 3*j - 3*x - u, 4*x = -16. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-184)*2\/((1\/5)\/(29\/(-435))).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from {o: 1, v: 3, j: 1, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3125*f - 5 = -3124*f + 8, -27*j = -f - 79 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, x: 2}. What is prob of sequence ix?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000883334 rounded to six dps?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -172598*p - 60920 wrt p?\nAnswer: -172598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 88\/(-12) - (6\/(-3))\/6. Let u be (-2)\/l + (-1)\/(91\/8398). Is u > -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124098 is divided by 62046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 244*i - 1607*i + 185*i**2 + 8820 + 110*i**3 - 3257*i + 5*i**4.\nAnswer: 5*(i - 3)**2*(i + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:57 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g + 228 - 1164. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/30)\/(0 - (-1)\/(-12))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/22131 and 35\/2459?\nAnswer: 22131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from baafffbfbwfa?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + g - 1 + 5*g - 3*g - 2*g - g**4 in the form x*g**3 + z*g**4 + k + t*g**2 + w*g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*z**2 - 628*z**2 - 789*z**2 + 372*z**2 - z.\nAnswer: -1900*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h**2 + 3 - 10*h**2 - 6*h**2 in the form p*h**2 + t*h + b and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2, 96, 2\/5, -2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 - 2*x + 9. Let t be r(2). Is (-11)\/(t*6\/558) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w - 4*w + 42*w - 49 - 33. Is h(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.55*-1.\nAnswer: -10.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3 - 5. Let f = 9 - v. Solve -3*s - 13 = d, -2*d - 3 - f = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (98 - 90) + -11 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26624, 31412, 36190, 40958, 45716, 50464, 55202?\nAnswer: 59930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140.4 - -139.9. Which is the biggest value? (a) j (b) 2 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -359, -425, -599, -935, -1487?\n\"Answer: -9*m**3 - 3*m - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 5*a + 6. Let h(y) = -1. Let t(n) = -n**3 + 8*n**2 + 8*n + 10. Let c be t(9). Let r(x) = c*s(x) + 3*h(x). Give r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 12 = -v - 14*q, 4*v - q = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*y + 2, -4*s + 7*y = 2*y - 18. Suppose 0 = 3*m + 4*v - 115, m - 5*v = -s*v + 34. Suppose 0 = c - 104 - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15099 + 5997 = 1198*a - 319*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356 + 514. Is 58 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/4217? (a) 3\/4 (b) 4\/3 (c) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s**6*s*s*s**(-2)\/(s**(-4)*s))**(-1\/5) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 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: Expand (-2*k + 17*k + 5 - 6*k)*(2*k**2 - 2*k + 2*k).\nAnswer: 18*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 245629 - 0.3?\nAnswer: 245628.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 250\/337?\nAnswer: 250\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + b + 0*b)*(-2 + 1 - 1 - 9 - 3 - 8 + (0 - 3 + 2)*(1 + 2 - 1))*(1 + 1 - 3) in the form m*b + g and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Let q be j(4). Calculate the remainder when 6\/27 + 97\/9 is divided by 0 + q*(-2)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43664 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 15. Let q(v) be the first derivative of v**2\/2 - 22*v + 2. Let x(p) = -7*j(p) + 5*q(p). What is x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/26316 and -2\/102555.\nAnswer: 6973740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38684361.\nAnswer: 3, 19, 41, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -2935, -6429, -11323, -17617, -25311?\nAnswer: -34405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 + 2*h**2 + h. Suppose c = -3, o - c = -0*o + 2. Let u be t(o). Let n = u + -5. Let d(g) = g**3 - 3*g**2 + 2*g. Calculate d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(17) - (sqrt(425) + -2)) - (3 + 5*(-2*sqrt(17) + sqrt(17))))**2.\nAnswer: -870*sqrt(17) + 14522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 0, -5*o - d + 225 = -0*d. Suppose 0 = -5*q + 5*h + 55, q - h - o = -3*q. Calculate the remainder when 31 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 22*f - 153. Let s be n(16). What is the tens digit of 14\/(-133) + (-3711)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 11*x - 266 = -5*r, -2*r - 3*x = -95. Calculate the remainder when r is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259c4 (base 16) in base 14?\nAnswer: 401da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10589389 and -7?\nAnswer: 74125723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7 + 35 - 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 211, 347, 437, 481?\n\"Answer: -23*g**2 + 205*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 29*r + 179. Calculate a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(-29903*h**3 + 59809*h**3 - h + 1669*h**2 - 29908*h**3).\nAnswer: 6*h**3 - 5007*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -29. Let o(y) = 6*y + 1 + 7 - 3 + 7*y + y**2. Let z be o(t). Solve -z*x + 17 = 2*d - 5*d, -3*x = 4*d + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(32400\/80))\/((-2)\/168).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 1621, 3613, 6383, 9925, 14233, 19301?\nAnswer: 25123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 u, and 1 r when three letters picked without replacement from {r: 5, u: 3, p: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1698323, -1698314, -1698311, -1698314?\n\"Answer: -3*t**2 + 18*t - 1698338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 18*x**2 - 19*x - 41. Let s be a(-17). Let y(z) = 6*z**2 + 7*z + 9. What is the hundreds digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -18*x + 15*x. Let h(a) = x*a - 6*a + 9 - 7 + 13. What is h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/37 (b) -0.1 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57193341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/11, -2\/3, -10002, -1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 223884084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -18. Suppose 0*s = -s - 3*n + 19, s - 3*n - 7 = 0. Calculate the remainder when s is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294864 is divided by 98288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r - 15 - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 2459*d + 2459*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13019 divided by 3.\nAnswer: 13019\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-258)\/36 - -7)*3\/4\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053023.\nAnswer: 3, 7, 59, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -23, 3, 6 in ascending order.\nAnswer: -23, -3, 3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:54 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111 + -13325?\nAnswer: -13214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.2 (c) 1\/8 (d) -17 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008072 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyyj when four letters picked without replacement from yyjyyyyyyyjyjyyy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 404421 + 13?\nAnswer: 404434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1290.\nAnswer: -1\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 10*l = 119 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*4\/(-12)*-9. Is 11 a factor of k\/(-8) - 235\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -6*x + x + 8*n, 261 - 448 = 2*x - 3*n - 223 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13105995 - -14854005. What is w rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56\/3? (a) 3 (b) -2\/11 (c) 1 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67858, -135723, -203588?\nAnswer: -271453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.1046 weeks to seconds.\nAnswer: 199647262.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 2)*(-11 + 0). Let k be (-1)\/(-2) - b\/4. Calculate the greatest common factor of k and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 1573 = -26*g + n, g = -2*n + 1575. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(3*o + 0*o + 0*o)*(331 - 77 - 13)*(1 - 3 - 2).\nAnswer: -2892*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -115*6*(-9)\/135. Let o = 121 - 73. Suppose 0 = q*n - o*n - 34. Sort n, 0, 4 in descending order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 3*c. Let x be 10*(1 + (-7)\/c). Let p = 1 - -3. Sort -1, p, x in increasing order.\nAnswer: x, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 965, 1511, 2057, 2603, 3149?\nAnswer: 3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -125*x**2. Let f be l(-1). Let k = f - -150. What is the greatest common factor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**3 - 2*y**2 + 7*y + 2. Let m = -40 - -29. Let p be g(m). Round p to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - u - 4)*(10*u**4 - 16*u**4 + 3*u**4) + u**2 - 4*u**5 - u**2.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-970*p + 970*p - 72*p**2)*(-4 + 4 - p**2) + p**3 - p**3 + p**4.\nAnswer: 73*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 138*z - 5363. Let c be r(39). Let l(p) = p - 11. Let d(t) = -t. Let v(x) = -15*d(x) - 5*l(x). List the prime factors of v(c).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 1813?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-2) - ((-630)\/(-40) + -10) and (-590)\/48 - 3\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-4*n + 2*n + 4*n) + 72*n + 401*n + 126*n - 132*n in the form y + h*n and give h.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxx when three letters picked without replacement from gdggvgggvxxgcg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.05 - -0.05. Let d = 0 - r. Let m = -4.3 - -4.24. Which is the smallest value? (a) d (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36182118 to the nearest integer?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**5 - 89*c**4*s**2 - 119*c + 93*s**2 wrt c?\nAnswer: 80*c**3 - 1068*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-362)\/(-8) + 9710\/(-7768)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -156*r + 1230. Determine l(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11303 (base 7) to base 14.\nAnswer: -10aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125\/16 - 117\/16. Let d(v) be the second derivative of 0*v**3 + 26*v - r*v**2 + 0 + 1\/24*v**6 + 9\/40*v**5 + 17\/48*v**4. Factor d(b).\nAnswer: (b + 1)**2*(b + 2)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103.87 + 2.13. Let t = -122 + p. Which is the nearest to -0.2? (a) -2 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 10*u**2 - 11*u - 16. Let l be r(-11). Does 12 divide (l\/24)\/((-1)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*d + 461*d - 152*d + 3 to the form u*d + v and give u.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 38 = 4*p, -p = w + 14. Let y be 21\/(-6)*p\/21. Let f(l) = -9*l + 2. Let t be f(-2). Solve t = -3*n - y*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 440, -4\/3, -0.2336.\nAnswer: -4\/3, -0.2336, 1\/4, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 24 - 6. Find the third derivative of -32*q**2 - 6*q**5 + 46*q**2 - 27*q**p wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 11*r - 4. Let c be q(-11). Let j be (3 - -1) + (-4)\/c. Let x be 10\/35*-1 - 60\/(-14). Put -3, j, x in descending order.\nAnswer: j, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 112?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-14)\/(-245)*28\/(-40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + x. Let k be f(-1). Suppose 3 = -3*z - k. Let s be (-1 - 59)*(-46 - z). What is s rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 168 = 20*v - 9*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 9. Let d be j(-6). Let v(g) = 17*g - 18. What is the smallest common multiple of v(d) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 - 10 = 0. Let h(m) be the second derivative of 95501*m**3\/6 - m**2 - 5*m. Let g be h(v). Round g to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.73984 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 + 116*g**2 - 2*g**3 - 81*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*a - 780 = 21*a + 1596. What is the highest common divisor of 60 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42745951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154709471 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**5 + 0*j**3 + 121\/12*j**4 + 0 + 36*j - 29\/10*j**6 + 0*j**2. What is the third derivative of p(l) wrt l?\nAnswer: -2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + 154*a - 122. What is k(51)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68573 and 423?\nAnswer: 617157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 3*y**2 + 2*y - 2. Let t be n(-3). What is t rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36675 and 220050.\nAnswer: 220050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 + 8*u - 9. Let l be a(6). What is the third derivative of l*g**6 - 10*g**2 - g**6 - 9*g**6 wrt g?\nAnswer: -840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.58639859 to 3 decimal places.\nAnswer: 98.586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**7\/280 + l**6\/360 - l**4\/24 - l**3\/3 + 5*l. Let k(q) be the second derivative of j(q). Calculate k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 16) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/175857 and 47\/21.\nAnswer: 1230999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 2*q**3 - 12*q + 22*q - q**2 - 3*q**3 + 2. Let s be r(5). Solve 0*m - 8 = -s*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**4 - u**3 + u. Let s(v) = 9*v**4 + v**3 + 3*v. Let k(t) = d(t) + s(t). What is the second derivative of k(m) wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34234.\nAnswer: 2, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 182650*z**2 + 1541170560*z - 2359996143840 = 0. Calculate z.\nAnswer: -18924, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 9) in base 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -12 (b) 0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/5 - 3019*p**2 - 90597*p\/5 - 135909\/5 = 0. What is p?\nAnswer: -3, 15101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 882636345 a multiple of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 786 - -1143?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjb when three letters picked without replacement from jjkbbjjvqksb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = 12*t - 126431 - 94621. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 4*n**2 + 2*n - 4. Let g = 61 + -58. Determine b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 3, -39 in ascending order.\nAnswer: -39, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.39 (b) 2\/11 (c) 2 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*l - 64*l = 59*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 26*b**2 + 57*b + 145. Let t be f(-11). Let n(w) = -4*w - 7. Let c(v) = -5*v - 8. Calculate t*c(k) - 3*n(k).\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37794.6l to millilitres.\nAnswer: 37794600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 187561 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = 7*o - 44 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from xwccwxwxycx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 65 + 71 + 74 + 124*w**3 - w**2 - 32*w**3 - 208 to j*w**3 + y + x*w + f*w**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79\/17 + 3233\/714. Find the common denominator of f and 151\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h - 70*h - 248 - 1156 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1782) - 2*sqrt(1782)) + sqrt(22) - (sqrt(22) + (sqrt(22) - (sqrt(22)*-1 + sqrt(22)) - sqrt(22)))*2)\/(sqrt(96)\/(-2*sqrt(3))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031007685 to six decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -811326\nAnswer: -811326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164065 and 1967704.\nAnswer: 2131769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-45))\/((83210\/477)\/(-314))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*z**4 - 5*c*z**3 - 9*c*z**2 + 5*c - 818*z**6 + 5*z**2 - z wrt z?\nAnswer: 24*c*z - 30*c - 98160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 17*h - 11*h - 2 - 108 + 2. Give k(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.7. Let q(a) = 2*a + 3*a - 4*a + 2. Let c be q(-3). Sort h, -5, c.\nAnswer: -5, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -52 (b) -0.4 (c) -5 (d) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10853 - (2 - -3 - 3). Let q be (j\/200)\/(3\/4). Let h = q - -328\/15. Find the common denominator of 43\/3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592850173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*h - 34, 3*h = -h + 5*k - 37. Suppose -81*s = -61*s + 80. Let t = -1 + -4. Sort t, h, 2, s.\nAnswer: t, s, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307 and 20569?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5661 and 1120.7.\nAnswer: 1120.1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/6 (b) 1 (c) 0.51 (d) -4 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115243284 divided by 767?\nAnswer: 150252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, 21\/8, 5 in decreasing order.\nAnswer: 5, 21\/8, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/279)\/((-5)\/9*1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-2)*(-20)\/(-2). Let v = -13 + z. Suppose 0*a - 2*p + v = 5*a, -3 = -a + p. Solve -4*c - h + a = 0, -3*c + 0*c - 4*h + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -648451 or -648452?\nAnswer: -648451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 88*b + 847. Calculate g(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*20\/(-5)*-1. Is (-443)\/(((-18)\/l)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328614 divided by -39?\nAnswer: -8426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*(9\/(-20))\/(51\/(-85))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w + 1464 = -1122 - 764 for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*x**6 + 48*x**4 - 9*x**3 + x**2 + 10*x + 313?\nAnswer: -4200*x**3 + 1152*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + 13. Let r be 15\/(-6)*j\/15. What is the derivative of r + 3 - 20*y + 16*y wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28170759, -28170757, -28170755, -28170753, -28170751?\nAnswer: -28170749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 15*x. Let w(k) = -2*k + 2477 - 2477. Determine u(w(n)).\nAnswer: 8*n**2 + 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944.711 litres in millilitres?\nAnswer: 1944711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 3, 0, 2 in ascending order.\nAnswer: -5, 0, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/8))**(-40)\/(k**(2\/19)*k)**8)**(-47) assuming k is positive.\nAnswer: k**(39151\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Calculate the smallest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 441725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 89 = -27. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*w + 1043 = 0, 3*u - 1552 = -16*w + 14*w. Calculate the remainder when u is divided by 131.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (50 + -45).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 1321, 2968, 5255, 8170, 11701?\nAnswer: 15836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 + 2*l - 39. Let z be q(-6). Let j = z - 114. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27.03205um?\nAnswer: 27032.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -5. Suppose -b = 2*j - 2*q, 3*j + 7 = 4*q - 18. Let x(l) = -2*l - 4. Let z be x(j). Solve 2*o = -z*s + o - 13, -6 = -s + 2*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4677356 + 8494085. Suppose v = -3*z - 10283271. What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (361 - 357 - 163*a - 4*a)*(4*a - 9*a - 6*a) as x*a + l*a**2 + h and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = -2*v, 0 = -p - 2*p - 5*v + 22. Let u be (-6)\/165*-5 + p\/(-22). Suppose 2*m - 144 + 138 = u. Sort -1, m, -0.03 in increasing order.\nAnswer: -1, -0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 7*r**2 - 5*r + 3. Let y be d(4). Suppose -389 - y = -5*w. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*z - 2*z**2 + 8\/5.\nAnswer: -2*(z - 2)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*i**2 + i - 138?\nAnswer: -26*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -1)**2*2 - (sqrt(114)\/(sqrt(6)*-1) + -2).\nAnswer: -15*sqrt(19) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15490+-1\nAnswer: -15491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 22*p**2\/5 - 1076*p\/5 - 98\/5 = 0.\nAnswer: -1\/11, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 17, 12, 7, 2, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*g**2*s - 3*c*g**2 - c*g*s + 2*c*g - 44*g**2*s**3 - 4*s**3 wrt g.\nAnswer: -8*c*s - 6*c - 88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j + 1. Let k be n(-2). Is -7 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-200)\/(-28))\/((-3)\/(-21)). Let n(p) = -24*p**2 - 28*p**2 + f*p**2. Let h(b) = -22*b. Determine n(h(r)).\nAnswer: -968*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053607231 rounded to six dps?\nAnswer: 0.000536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 125\/10 + (-2)\/(-4). Suppose a = 6*a + 5*b - 20, 3*a = 5*b - 12. Let n be ((0 - a) + 27)\/2. What is the highest common divisor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*h + 35*h + 17255. What is the highest common factor of 522 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + a + (0 - 1 + 3)*(0*a - 3*a + 0*a))*(-1 - 2 - 1)*(a - 4 + 4) to the form k + f*a + x*a**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6107*r - 6895*r + 710 + 1654 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(y - 3*y + 6*y) + (-1 + 1 + y)*(-13 - 12 + 2) as v*y + n and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/9*y + 2\/9*y**4 - 2\/3*y**2 + 0*y**3.\nAnswer: 2*y*(y - 1)**2*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 49*v - 339. Give d(-6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*w - 4946 = 422 + 514 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafaaayayybamacbc. What is prob of sequence ccyf?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*d*n*o**3 + 20*d*n - 11*d*o**2 - 9*n*o**3 + 2348*o**3 wrt n.\nAnswer: 25*d*o**3 + 20*d - 9*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586 - 1137\/2. Calculate the common denominator of 4\/(-10) - 606\/(-140) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - t - t - 58, 3*t = 4*l - 59. Let r(j) = 2*j - 2. Calculate the remainder when r(l) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*f + f + 5*c, f + 9 = -2*c. Let r = 3 + f. Let u = r - -25. Calculate the lowest common multiple of 6 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, q: 4, a: 2, t: 3, n: 1}. What is prob of sequence mqz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -28*q**3 - 81*q**2 + 290*q - 12. Give p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.9048 millilitres in litres?\nAnswer: 0.6519048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/3 (b) 192 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45057174.41 and -8498.\nAnswer: -45065672.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2440 divided by 305.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from {i: 11, e: 5, n: 3, h: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-191)\/((-236840)\/372))\/(-1 - (-20)\/14)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = d, -4 = 2*h + 4*d - 3*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(4 + 20\/(-4)). Suppose y + 3*y - 188 = b. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2396)\/(-6) - (-9)\/((-162)\/(-12)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3172447?\nAnswer: 31, 102337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) + 1 + sqrt(1573)*1) - (sqrt(1573)*-2 + 5 + sqrt(1573))) + 3)**2 + (-3*sqrt(117)*6)\/(3*sqrt(9)*6).\nAnswer: -sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-20)\/30*-3. Sort 595, z, 2 in descending order.\nAnswer: 595, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 12*g**3 - 132*g**2 - 220*g + 1200 = 0 for g.\nAnswer: -5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:38 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000239558875 to six decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (-2 - (-3 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58066371 by 6451819.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*h + 2*h - 2*q, -h = 3*q - 47. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 309683670.12?\nAnswer: 309683671.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/4 - 11*b. Let i(c) = -c. Calculate g(i(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 528\/60) + 902\/1340. Let m = 5137\/2814 - p. What is the common denominator of 25\/69 and m?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/198 or 1\/364?\nAnswer: -5\/198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2738*o + 2456*o - 5436*o.\nAnswer: -242*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*(j\/((j*j**8)\/j))\/j*j)\/((j*j**0)\/j*j**(1\/16)))**1 assuming j is positive.\nAnswer: j**(-49\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let y(l) be the second derivative of l**5\/20 + l**4\/12 + 3*l**2 - 2*l. What is y(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 26 = 8. Let g(w) = 7*w**2 - 3*w - 23. Is g(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 696\/43 in -0.5, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 3, u: 3}. What is prob of sequence udd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50091, 50105, 50119, 50133, 50147?\n\"Answer: 14*i + 50077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zndcmod. What is prob of picking 1 n and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39, -213, 1.1, -1\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 11*o**2 - 7*o - 2. Let n be m(-5). Suppose 4*g = -n*g + 36. Find the second derivative of -2*j**3 - g*j - 10*j**3 - 7*j + 3*j wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 3*q**4\/4 - q. Let v(k) = k**2 + 2*k + 4. Let l(t) = -4*t**2 - 7*t - 14. Let o(g) = 2*l(g) + 7*v(g). Give o(u(i)).\nAnswer: -81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 2. Let f be u(-6). Let v be (-21)\/f + 2\/(-8). Suppose 13 + 7 = v*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = -26. Let u = l - 4. Solve b - 2 = -u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 27 = h, -3*h - 81 = 6*g - 11*g. Let j = 31 + h. Suppose -231 = -j*z - 35. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 11:54 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let l(m) = 10*m**3 - m + w*m**3 - 2*m**3. What is the units digit of l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 v when four letters picked without replacement from wwvwbwiibwbzi.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.055 + 0.01. What is x rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 32. Suppose s = 6*f - 43 + 13. Suppose -2*d - 2*d = 20, 0 = -4*n + f*d + 97. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**3\/6 - 4*d. Let q(o) = 2*o**2 + 5*o - 4. Let k be q(-4). Let t(a) = -2*a. Calculate k*y(n) - 3*t(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508781 <= 4508781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280172.\nAnswer: 2, 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(44)*-2))\/(4*(sqrt(600)*2 + sqrt(600) + sqrt(600) - sqrt(600))).\nAnswer: -sqrt(3)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -37*d**2 - 67*d**2 + 43*d**2. Let t(n) = -2*n. What is y(t(b))?\nAnswer: -244*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmombbc. Give prob of picking 1 m, 1 b, and 1 c.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**6\/24 + 9*k**5\/4 + 325*k**4\/8 + 845*k**3\/6 + 45*k**2 - 21. Let w(h) be the second derivative of l(h). Factor w(s).\nAnswer: 5*(s + 1)*(s + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1674 + 4308. What is the second derivative of w - 1 + f*w**2 + 1 - 2584*w**2 wrt w?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82629677?\nAnswer: 13, 59, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = -0*m. Let h(z) = -15*z + 62. Let i be h(4). Suppose m*n - f - 133 = 3*n, -i*n + 4*f + 136 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23351941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let g = 183 + -186. What is the smallest common multiple of (-4)\/g*m - (3 + -3) and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = 0. Suppose n + 2*n = g. Solve 1\/2*y**2 - 1\/2 + n*y = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**5 + 4978619*r**2 + 4134*r + 10 wrt r.\nAnswer: -140*r**3 + 9957238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57227 + ((-12)\/(-10))\/(2\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*i - 14*i + 20*i)*(101*i - 101*i + 34*i**2).\nAnswer: 3740*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 9*o**2 + 14*o + 93. What is the remainder when s(-11) is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.5 + -16. Which is the nearest to 1? (a) -4 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-8 - -1) - (12 - 19).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16284 - 30?\nAnswer: 16254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/84 + -13\/21. Which is the closest to n? (a) -3 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 8*u - 6480. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16660*s**4 + 269*s**3 - s - 60849091 wrt s?\nAnswer: 66640*s**3 + 807*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -0.08 (c) -154 (d) -1\/3 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -21. Let a be 6\/3*z - 0. Let p = 2 - a. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667083183273 - -5?\nAnswer: 667083183278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 + 2)*-5. Solve -2*m - 5*p - h = 0, 2*m + 0*m - 10 = 5*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 5. Suppose -3*h = -2*m - q, -2*h = 2*m - 11 + 1. Let d(g) = -177*g - m*g**2 + 177*g. Let r(b) = -3*b. Calculate d(r(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 26\/3 - (-1)\/3. Suppose -c*l + 1138 = 154. Is 41 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-9 + 14 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3 = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((f*f**12)\/f)))**(-8\/11)\/(f**(-2\/43))**(-50) assuming f is positive.\nAnswer: f**(-5572\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1 - (-28)\/16). Let v be 3\/12*-14*2. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 31. Let n be b(5). Let a(y) = 44*y - 1. Let q(d) = -133*d + 4. Let p(t) = -11*a(t) - 4*q(t). Is p(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 14 = -c - 6*u, 0 = 3*u - 12 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**2\/2 - h + 1. Let w(r) = r**3 - 9*r - 6. Let m(z) = -6*b(z) + w(z). Find the second derivative of m(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5002 + 4997.9962. Let n = q + 4. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-216)\/135)\/((-4)\/10). Solve 28 = -4*n + y*d, 3*d + 11 = -5*n + 2*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 603 or 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -575 + 4?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**3)**(2\/5)*(f*f**(-11))**(1\/2))**35 assuming f is positive.\nAnswer: f**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - 0.82. What is the third smallest value in -1\/2, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796.1731ml in litres?\nAnswer: 0.7961731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3172)\/390 - -8) + (-3542)\/(-15). Put 4\/5, 5, -2\/15, h in descending order.\nAnswer: h, 5, 4\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 2. Let m(b) = -23*b + 8. Let v(d) = 4*i(d) - m(d). Let o be v(2). Let u(a) = o*a - 10*a - 7*a + 4 - a**2. What is u(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58465 and 432641?\nAnswer: 2163205","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x. Suppose x = -2*z - 5*w + 18, 4*z = -w + 5*w + 8. Let m be z\/(-1 + 4 + -1). Solve m*f = -f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6507107 <= 6507044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3 + 3)*(0*h - h + 0*h + (5 - 5 - h)*(2 - 4 + 4) - 2*h + 2*h + 2*h + 5*h - 37 + 36 + 3).\nAnswer: -4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16508990 + 312618\nAnswer: 16821608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119600512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.3885 - 0.0115. Let t = s - -22.4. Which is the nearest to t? (a) -4\/5 (b) -0.4 (c) 0.03 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Let g = -19 + 18.6. Which is the closest to q? (a) g (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 208 and 74550581?\nAnswer: 74550373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 9103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g, -4*m = -2*m - 3*g. Suppose -s - 5*d - 18 = 0, -5*d = -2*s - m*s + 30. What is the greatest common factor of s and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256523 - -1354?\nAnswer: -255147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = 7*j - 8*j, 4*j = 2*o + 8. Suppose 3*d - 105 = -j*w, 0 = 3*w - 0*w - d - 185. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 0.21. What is the smallest value in -1\/6, h, 2\/21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 6. Let k(b) = b. Calculate 3*k(v) - z(v).\nAnswer: -v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33449 = t - 3*c - 41106, 5*t + 4*c - 372851 = 0. Let y = t + -125567. Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -7. Let m = -7 + c. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/754435 and 61\/17545.\nAnswer: 754435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ennneennne.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*v**2 + 6*v**4 - 5*v**4 + 4*v**4 + v - 2 - 4*v**4 in the form j*v + i + z*v**4 + m*v**3 + s*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19234*d**2 + 175*d**3 + 19234*d**2.\nAnswer: 175*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944632023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - b?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227298786 to the nearest integer?\nAnswer: 15076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 2*j**2 + j + 9*j - 6*j**2 as n + u*j + d*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + (0 - 0). Let v = 1.2 - 2. Let f = -1 - v. Sort j, -5, f in decreasing order.\nAnswer: f, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 7*l - 3. Let s be (5 - (-1 - -4)) + 5. Give v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19835 = 5*c - 3*x, -4*c + 3738 = 4*x - 12130. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 108 + (11 - 14). Suppose l*t = 12*t + 180. Factor 0*o + 0 + 1\/7*o**4 - 1\/7*o**3 + 1\/7*o**5 - 1\/7*o**t.\nAnswer: o**2*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.073 + 8.027. Let l = -8 + z. Let m = 0.7 - 0.73. Sort l, m, -1 in decreasing order.\nAnswer: l, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 12*l**2 + (-l + 2*l + 3*l)*(-13*l - 7*l - 6*l) as h*l + a*l**2 + p and give a.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from xxfxpfxxppdx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12 - 4*n - n**3 - 2*n + 5*n**2 - 8. Let y be z(4). Let p be y*1 - (9 + -14). Solve 3 = -b + 5*r - p, 5*r - 6 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*sqrt(176))**2 - sqrt(176)) + sqrt(176).\nAnswer: -8448 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s = 54*s - 336 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56828.\nAnswer: 2, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191605062811453\/28182 + 6798845461. Let d = -4\/1281 - q. What is the common denominator of ((-2)\/3)\/((-56)\/606) and d?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 - 2*m - 3. Let p = 0 - -4. Let z(i) = 4*i**2 + i + 2. Let t(b) = p*z(b) + 3*n(b). Let q be (-10)\/(-30)*3\/(-1). Give t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 17*i**2 - 17. Determine r(17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81340 is divided by 149.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 4*c + 20, -3*q + 53 = 5*c. Suppose q = 2*f + 2*f. Find the first derivative of 3*n - f*n - 2*n - 1 + 2 wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -67 + k**2 + 31 + 28. Let h(j) = -6*j**2. Determine h(z(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/21)\/1 - 585\/(-105). Suppose -21 = -16*k - m. Is k less than 1\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) -5 (c) 11\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2636\/1833 + -26139017\/36660. Let k = 714 + v. Let m = -97283\/14 + 6952. Find the common denominator of m and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 19*t**2 - 44*t - 17. Let d be q(21). Let x = 64 + d. Solve 0 = 3*n - x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33124 and 148044.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**9\/272160 - p**8\/22680 + p**7\/4536 - p**6\/1620 + p**5\/30 - p**2. Let s(k) be the third derivative of a(k). Factor s(f).\nAnswer: 2*(f - 2)*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -5*q + 797. Let w be (47 - 45)\/(2\/11). Suppose -5*h = w*h - q. What is the greatest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 - 2 = 5*l, 0 = -2*l + 4. Suppose 4*f + f = -5*n + 80, 0 = -4*n - 5*f + 65. Suppose 0 = x + a*x - n. Let r(q) = 2*q**2 - 5*q + 4. Give r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Suppose -w = 2*s + 3. Let n(k) = -k**2 - 5*k + 6. Let a be n(-6). Sort a, 3, s in descending order.\nAnswer: 3, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/33388 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfqh. Give prob of sequence xxq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + 3*d**2 - 2*d**2)*(-41 - 44 + 82 - 9*d)*(4 - 4 + 2) to the form r*d**3 + z*d + x + i*d**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, d: 16}. What is prob of sequence dd?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(3 + (-498)\/162)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-26))\/((-3822)\/(-33124))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 13. Determine u(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192419311.\nAnswer: 7, 17, 23, 229, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298 a factor of 105742868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 + 3. Let z be w(-4). Let c(o) = -o**3 - 17*o**2 - 14*o + 38. Let a be c(-16). Solve z*t + 6 = -3*j + 4*t, j + t = -a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**5 - j**3 + 270*j?\nAnswer: 120*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/42*44\/33?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzczzczzccczzzzz.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147220 - -1427320. Round s to the nearest ten thousand.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 565187 and 9205?\nAnswer: 2825935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16876, 33746, 50616, 67486, 84356, 101226?\nAnswer: 118096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69910 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(3*sqrt(35)*-2)\/(sqrt(63)*-3)*-6*-1)**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -96, -143?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 2.49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007658539 to seven decimal places.\nAnswer: -0.0000766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 5. Let l be x(-7). Let b be 12\/l - (-3 - 0). Solve 13 = -5*f - 3*r - 2, 3*f - 2*r = -b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 202120111121221?\nAnswer: -202120111122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyuuyyuy. Give prob of sequence uyyu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*a - 103*a + 9 - 483*a**2 + 199*a**2.\nAnswer: -284*a**2 - 10*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*21\/(-189) + (1 - 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - x - 4. Let l = 11 + -4. Let s = l - 3. Let p(z) = 2*z**2 - 2*z - 5. Suppose -5 = 5*h + 10. Give h*p(u) + s*r(u).\nAnswer: 2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 20 = -9*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - n**2 + 1. Let o(a) = -91*a**4 - 12*a**3 - 6*a**2 + 84*a + 6. Let q(s) = o(s) - 6*r(s). What is the second derivative of q(x) wrt x?\nAnswer: -1092*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = 5*z, 2*t + 7 - 43 = 15*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 + -3580?\nAnswer: -3617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:40 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29141327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 18*h**2 - h - 14. Let g be u(-18). Suppose -t - 2*t - g*x + 4188 = 0, t - 3*x = 1409. Round t to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-12))\/(4\/(-30)). Suppose -c*i = -3*v + 679, -5*v - 4*i - 258 + 1365 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 5. Is k a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus 0.2718864?\nAnswer: 0.4281136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + p - 85 = -2*i, 3*i = 2*p + 64. Let m(b) = b**2 - b - 2. Let q be m(-2). Solve 3*t + q*v = 7 + 12, 4*t - i = 2*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let t(j) = -15*j - 145. Let b(u) = 5*u + 48. Let v(q) = 19*b(q) + 6*t(q). Determine v(i(l)).\nAnswer: 5*l + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357240778?\nAnswer: 2, 1109, 611921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7976*n**4 - 68*n**2 + 1931895*n?\nAnswer: 95712*n**2 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40147, 40146, 40145?\n\"Answer: -o + 40148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 92*((-28)\/(-8))\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:05 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4149667.4 and -0.1.\nAnswer: -414966.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 4 + 4)*(28 - 2*o**2 - 28)*(-2*o**3 - 2*o**2 + 2*o**2).\nAnswer: 100*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.06 + 0.36. Let n = 42.3 - s. Let o = -26 + n. Which is the third biggest value? (a) 2\/9 (b) o (c) -2\/9 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8568 is divided by 7073?\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(154\/35))\/((-223)\/(-223)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -7*c**6\/30 - 23*c**5\/20 - c**4\/2 + 14*c**3\/3 + 4*c**2 + 34*c. Determine z so that d(z) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.72195 years in decades?\nAnswer: 0.972195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6 + 5)) + (0 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714909831?\nAnswer: 23, 74561297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9015, -5, 155, -4, 5 in increasing order.\nAnswer: -5, -4, 5, 155, 9015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 7*d - 21. Let f be v(10). Suppose -5*o + 4 - f = 3*n, 5*o - 25 = 3*n. Solve 5*p + 20 = -4*l + 3*p, -o*l - 3*p = 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365447549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/352 + 2\/(-11). Suppose 0 = -0*i + 2*i - 2*m + 18, 2*m = 8. Let s = i + 1. Which is the third biggest value? (a) 0 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 111169?\nAnswer: 1111690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9828935 - -5219615. Let j = -2569320 - s. Suppose -3*h = h + j. Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 38 = 2. Suppose -6*f + f = -15. Suppose -f*t = -2 - 13. What is the greatest common factor of h and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3213 + 3208 + (0 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54708 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79\/182 - -6\/91. Which is the nearest to 2\/3? (a) l (b) -5 (c) -0.04 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhrr when four letters picked without replacement from hhrhhhhhrrh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d + (1 - 2*d - 1)*(-1 + 0 + 0) + 4*d - 2*d - d - 2*d - d + 2*d)*(3 - 3 - d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73224 divided by 12204\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 636, 334, -170, -876, -1784, -2894, -4206?\n\"Answer: -101*h**2 + h + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p. Suppose 2*z + 2 - 14 = 0. Suppose -2*r + l + l + z = 0, -3*r + 11 = -2*l. Let j(b) = -5 + 2*b + r - 4*b**3. Give j(o) - 2*u(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Let h(q) = -9*q - 46. Let o be h(-4). Let k be 13\/((-130)\/4) + o\/25. What is the nearest to k in n, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - 95\/(-35). Let r be (-321)\/(-6) + (-104)\/(-16) + -6. Let l be (-10)\/(-3) + r\/81. Solve -l*z = -z - 12, 8 = 4*c + t*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(26)*-1 - ((sqrt(182)*3 - sqrt(182))\/sqrt(7) + sqrt(26)))\/(-5*sqrt(1152)*5))**2.\nAnswer: 13\/360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 333194, 665648, 998102, 1330556, 1663010?\n\"Answer: 332454*p + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 4*q**2 + 7*q + 2. Give c(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Let m be o\/27 + (-50)\/(-18). Let v be (-1 - -6) + (10 - 18). Put m, v, 1 in increasing order.\nAnswer: v, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)\/(2*sqrt(10)))\/sqrt(4) - 5*(sqrt(13) + 2)*-6) + 5.\nAnswer: 65 + 61*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7869132 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 674 - -99. Let t = 2449 - x. Suppose -9*h - t = -13*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = -12. Let f = t - -2. Which is the third biggest value? (a) 0.2 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2592)*-1 - (sqrt(2592) - (sqrt(2592)*2 + sqrt(2592)))*-3)\/(4*-2*sqrt(324)*2).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 15 = z - 0*n, -4*z - n + 25 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 9\/(-15) + 42\/(-5). Let u be (-417)\/y - (-5)\/(-40). Let q = u - 48. Solve 16 = -q*i - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 + -391\/3. What is the nearest to -2\/3 in 2, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - i**2 - 2*i**2 + 143127 + 313*i**2 - 143127 + 3*i**2 - 5*i**2 + 4*i**2 + (-i + 0*i + 3*i)*(0 + 0 - 2*i) - 2 + i**2 + 2.\nAnswer: 314*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2321, -9291, -20907, -37169?\n\"Answer: -2323*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 34*g**2 + 0.\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3543, 7086, 10629, 14172, 17715, 21258?\nAnswer: 24801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 4:33 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -2*a, -47*v + 3*a = -49*v + 3. Solve -47*u + 40*u + 28 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1112 = 6*l + 134. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183074 - 342474. Round m to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*f**2 + 47*f - 9*f**2 + 27*f - 9*f**2 to i*f**2 + c + n*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 11*x**3 + 53*x**2 - 274*x + 48 = 0?\nAnswer: -8, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 13*w + w to the form t*w + h and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2123210?\nAnswer: 2123203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/462875 and 87\/50.\nAnswer: 925750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2, 2*q - 27 = -5*u - 0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -u + 52591, 6957 = 2*a - 5*u - 14101. Let f = a + -6562. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-8)\/((-528)\/55)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by -7?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4289*a + 4254*a + 910 = 0 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -260.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 5 (c) 2\/19 (d) -58621 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let n(a) = 5*a - 6. Let j be n(4). Suppose -v - j = -2*l - 0*v, -v + 21 = 3*l. What is the units digit of g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.7\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/13)\/(45\/(-90)))\/1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37144 (base 8) to base 9\nAnswer: -23816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32418032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 23 = 47*b - 173 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -45.8. Let m = -62.3 + 62. Which is the nearest to 1\/6? (a) p (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(3\/8)\/w)))\/w**9*w**(3\/11)\/w**5 assuming w is positive.\nAnswer: w**(-1263\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131541407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - 3 - (-282)\/6 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -0.33. Let a = 0.06 - l. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:00 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 179913 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19030237 and 15305?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (17 - (51 + -37))\/((-6)\/(-19852))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c - 79*c + 5*v = 46, -9*c = -2*v + 85 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by -64?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12 = 0, -6*v + v + 2*m + 31 = 0. Let i = v - 3. Suppose 3*u - 7 = i. Solve -16 = -5*n + 4*t, -u*n - 2*t = 3 + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/z**(-6\/19))))**(5\/11)\/((z\/(z\/z**0)*z)\/((z**(-47)*z)\/z)) assuming z is positive.\nAnswer: z**(-892\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220346959?\nAnswer: 7, 29, 191, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.264*-0.0287.\nAnswer: 0.0075768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + -5 + ((-451)\/(-30))\/(-11) and 66\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -82 (b) 20\/19 (c) 0.217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669, 1358, 2075, 2832, 3641?\nAnswer: 4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h**3 + 6*h**2 - 19*h. Let f(v) = -9*v**3 - 4*v**2 + 13*v. Let g(n) = 7*f(n) + 5*z(n). Suppose g(b) = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose 0 = 2*q - u*q. Solve -4*p = -2*z - 10 + 2, q = z + 2*p + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.95839 - -34.93. Round t to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -883\/29 or -30?\nAnswer: -883\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2821, 2796, 2775, 2758, 2745?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*-1*15. Let p be (-2)\/(-8)*(r - 0). What is the second smallest value in p, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 6)*(t**2 - 2 + 2).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 0 (c) -3 (d) 26\/7 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 4*m - 24, -m = 4*n + 3. Let a = 138 - 132. Suppose 2*d + a = -4*f, 4*d - 8*f - 40 = -3*f. Put 4\/3, n, d in descending order.\nAnswer: d, 4\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by -9.\nAnswer: -194\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*m = -14, 140 = -2*n + 7*n + m. Suppose -14 = -n*r + 73. Solve -16 = -5*h - 4*t + 2*t, r*h + 4*t - 18 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 30*l**4 + 34*l**3 - 23*l**2 - 23*l + 9. Let s = 32 - 37. Let w(c) = -15*c**4 - 17*c**3 + 11*c**2 + 11*c - 4. Let h(p) = s*w(p) - 2*v(p). Factor h(k).\nAnswer: (k + 1)**2*(3*k - 2)*(5*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127.1 + -125.5. Sort -3\/8, 6\/11, l, -2\/3 in decreasing order.\nAnswer: l, 6\/11, -3\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 116.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 44.1. What is the fourth biggest value in s, -0.2, 1\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 47*t - 426. Let m = 566 - t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 5*z + 2. Let v be i(5). Sort v, -4, 3 in descending order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.7 (b) -0.1 (c) -32 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 44 = -6. Let u = h + -5. What is the remainder when 18 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 15*h**2 - 15*h + 15. Let f be y(14). Let n be 9*(1 + 0)\/f. Let i(r) = -21*r + n - 6 + 22*r. Determine i(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3419869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeemmeeeee. What is prob of sequence eeme?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 53. Let x be l(-2). Is -61 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*p**2 + 731*p**2 - 432*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.1 + 31. Let a = l + -23.9. Let t = -20.045 - a. What is t rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -h + 489710, 2*k - 195137 = 2*h - 1174509. Suppose -14*s + h = -5*s. Let u = s + -30710. What is u rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313112 + -3?\nAnswer: 313103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) -5\/4 (d) -1.6 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/10 + 12*n\/5 - 72\/5 = 0. Calculate n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Let o be (r - -1)*(4 + 6). Factor 4*s**4 + 27*s**3 + 42*s**2 - o*s**2 + 0*s**4 + 16*s - 7*s**3.\nAnswer: 4*s*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 = -3*m - 14, -4*m = 20. Let x(n) = 4*n - 2*n + 1 + n - 2*n. Let a be x(13). Calculate the highest common factor of a and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 38*y - 11. Let f be j(-5). Suppose 700 = 5*m + 3*c, 363 = 4*m + c - f. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 2, o: 3, b: 4, e: 4}. Give prob of picking 1 b and 1 o.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -3\/5, -3, 2, -434?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 6*d**2 + d + 8. Let w be j(-4). Let h = -42 + w. Let z be h + 10 + 2 + (-2)\/1. Solve 0*o + z = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 = -3*i - 101. Let g be (250\/15)\/(6935\/684 + -10). Calculate the highest common divisor of g and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - (5 - 5). Sort -5, u, -2\/9.\nAnswer: -5, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - -32. What is the third derivative of 8*d**3 + 21*d**2 + 84*d - p*d + 6*d**2 wrt d?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 7*x - 58. Let o be z(5). Suppose -67 = -o*h + 1. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -33*h. Suppose 16*g = -g + 116943. Let o(i) = g + 3*i**2 - 6879. Give o(x(p)).\nAnswer: 3267*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (352\/40 - 8)\/((-1)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 - 2*g + 5. Suppose 2*b - 5*q = 11, -b = 4*b + 4*q + 55. Is y(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*h + 38, -5*y + 62 = h - 6. Suppose 15*v - y*v = 34. Calculate the highest common factor of 187 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Let m = -164 + 488\/3. Let h(p) = 6*p**2 + p. Let o be h(-1). What is the second biggest value in k, o, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -51516 (b) 2\/7 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 126*j**2 - 8*j + 130. Calculate the smallest common multiple of x(-63) and 4.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2927\/238376?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/8 - 1\/(-4). Let x be 1\/(-4)*(98\/(-14) + 27). Put l, -2\/5, x, -0.1 in decreasing order.\nAnswer: l, -0.1, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than 2603.58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8458, 16901, 25344, 33787, 42230, 50673?\n\"Answer: 8443*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1157\/(-10530)*-66 - (-1 + 8) and -35\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {j: 6, x: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/4982656 and -97\/137116.\nAnswer: 293976704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1420008*s - 55. Let c be f(-5). Suppose -3*p + p - 4*d + 7100012 = 0, -2*p + 5*d + c = 0. What is p rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4 = w - 2223*j + 2224*j, 0 = 5*w - 3*j + 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 13*c - 26. Let v be t(10). Let a(w) be the second derivative of 0 - 3\/11*w**3 + 2\/11*w**2 - w - 2\/55*w**5 + 2\/11*w**v. Factor a(p).\nAnswer: -2*(p - 2)*(2*p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/150 - 76*a**4\/45 - 395*a**3\/3 - 750*a**2 - 300*a. Factor v(k).\nAnswer: -2*(k + 2)*(k + 75)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4)*(-29)\/(-261)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 + 118. Let b be (-47 + 31)*14\/4. Let z = w - b. Solve 0 = z*m + 4 + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*k**5 + 12141*k**2 + 6810725*k?\nAnswer: -400*k**3 + 24282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-939)\/(-1252)*(-16)\/(-42). Which is the second smallest value? (a) -24 (b) -33\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -412*c + 300*c**2 + 412*c + 4*c**2 + 0*c**2 - 3*c**2 - 3*c**2 + 4*c**2 - 2*c**2 + (0 - 1 + 3)*(-3 + 3 - c**2) + 1 - c**2 - 1 - 2*c**2 - 5 + 5.\nAnswer: 295*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4763 and 0.2?\nAnswer: 4762.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7384.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 10}. What is prob of picking 3 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 41. Let x = 37 - 5. Let y = q + x. What is the highest common divisor of y and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31992366 and 7638.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.019 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 - 1 = 0. Suppose 2*n = n + i. Solve n*h + 0*h - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -606854580 and 9.\nAnswer: -606854571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 37. Let v(w) = w**3 + 4*w**2 + w + 2. Let f be v(-4). Let d = 0.2 + -0.1. What is the nearest to d in n, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/8 in -9, -5, 3.8081?\nAnswer: 3.8081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -36*a + 9*a + 12*a + 13*a - 19. What is f(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 138*d + 56.\nAnswer: -(d + 28)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/6)\/((-218196)\/(-22572)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 6*a**2 + 15*a + 17. Let y = 17 + -5. Let z be h(y). Suppose -11*s + z + 1579 = 0. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*q = j + 6, 2*q = -2*j + 18. Solve 32 - 7 = -5*o, j*o + 21 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (0 - (2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.239638 rounded to 2 decimal places?\nAnswer: -6.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 - 1056*q**2 - 273429*q + 2840890 = 0?\nAnswer: -533, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4 + 7*j - 4*j + 2*j**2)*(5*j**3 - 6*j**3 - 6*j**3).\nAnswer: 14*j**5 - 21*j**4 - 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -471 + 174?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 2. Let p be s(5). Suppose 6*b - 4*b + p = 2*i, 2*i - 8 = -2*b. What is the units digit of 7 + -6 - (b + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -108. Suppose c = -c + j. Suppose 5*n + 452 = 3*s, c*s - n = 7*s - 800. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggjjjggggxaggaj. What is prob of picking 1 x and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5442*b**2\/11 - 5440*b\/11 + 2\/11 = 0. Calculate b.\nAnswer: -1, 1\/2721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2289*80165\nAnswer: -183497685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c**5\/7 + 2644*c**4\/7 - 57196*c**3\/7 - 111128*c**2\/7 - 39982*c\/7 + 1612 = 0 for c.\nAnswer: -1, 2\/11, 31, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4013 (base 10) to base 2\nAnswer: 111110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.26251 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Let y(g) = -g + 1. Let f(q) = q - 2. Let x(k) = f(k) - 3*y(k). Let c(p) = -2*p + 2. Let b(h) = -5*c(h) - 2*x(h). What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -577*x**4 - 11359*x**3 + 9671146*x**2.\nAnswer: -13848*x - 68154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.066795kg in micrograms?\nAnswer: 6066795000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 33 (b) 0.3 (c) 3 (d) -2\/11 (e) -205 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/720 + p**4\/24 + 19*p**3\/2 - 23*p**2 + 3. Let b(q) be the second derivative of s(q). Let j(l) = -19*l. What is b(j(t))?\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 3*t + 9*t + 25 + 51, 4*f = 3*f + 7*t + 19 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - o = 16, -o = 2*n - 8. Let z(q) = 7*q**2 - 2*q + 7. Let p(f) = 6*f**2 - 2*f + 6. Determine n*p(u) - 5*z(u).\nAnswer: u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -700534, -700492, -700376, -700150, -699778?\nAnswer: -699224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3174, 3153, 3088, 2955, 2730, 2389, 1908, 1263?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1102220102101 (base 3) to base 14\nAnswer: -15d0cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 861 + -850. Suppose 0 = -3*g - 15, 12*c - 26946 = r*c + g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65437 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1523, 3047, 4571, 6095, 7619?\n\"Answer: 1524*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -2)*(6 - 7). Let y(t) be the first derivative of t**3\/3 + t**2 - 4*t + 1. Give y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 54098*v**3 - 6255184*v**2 + 181205224*v.\nAnswer: -2*v*(v - 26933)*(v - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u - 28. Suppose 4*z + 3*m = 37 - 100, 9 = -2*z + 3*m. What is the lowest common multiple of q(z) and 18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -y - 15, -5*g + 5*y = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 24 = -7*o + 34*c + 7, -5*c = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117994751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 2*g**5 - g**4 - 7*g**5 - 23*g**5 + 13*g**5 + (6*g**4 - 3*g**4 - g**4)*(-4*g + 3*g - g) + g**5 + g**3 - g**3.\nAnswer: -22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a meter in centimeters?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 140*o - 980. Let h(p) = -2*p**2 - 420*p + 2940. Let z(w) = 17*c(w) + 6*h(w). Determine i so that z(i) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 75068*b**3 - 75070*b**3 + 47*b**2 in the form i*b + l + p*b**2 + d*b**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1 - -7) + -3. Solve -g*b + x = -1, 0*x = b - 5*x - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*h = -93171, 3*g + 25912 = h + 95789. List the prime factors of g.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 0*s - 6*s + 15 - s + 5*s. Calculate v(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 - 22311*s**2 - 3*s - 73380 with respect to s.\nAnswer: 3*s**2 - 44622*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19123251893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 9) to base 10\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0447 - 0.3553. Which is the second smallest value? (a) -1\/7 (b) w (c) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 5. What is the remainder when 58 is divided by z(15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -253*l**8\/168 - l**6\/120 + 311*l**4\/6 + 910*l**2. Find the second derivative of j(t) wrt t.\nAnswer: -10120*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66464591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13415 + -13389. Solve 30 = z*x - 178 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578720.\nAnswer: 2, 5, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*y - 1 = -12, 3*r = 3*y - 3. Let u(w) = -r + 4842*w - 4842*w + 2*w**2. What is u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7)**(-34)\/(o**(1\/11)*o*o\/(o*o**(1\/6))) assuming o is positive.\nAnswer: o**(-15769\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102023 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -13. Let j = l + 9. Solve -3*q = -4*n + 19, 2*q + 2*n = j + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103305557?\nAnswer: 1367, 75571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 19. Let g = d + 1. What is the smallest value in 7, 1\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52233678 and 1396?\nAnswer: 52235074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 27 + 59 + -62?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h - 7. Let y(c) = -c. Let r be y(6). Let a(i) = 8*i - 8. What is r*d(n) + 5*a(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 61.3. Which is the nearest to -2? (a) -5 (b) 3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*15 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1414 - -543531?\nAnswer: 545245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/56*189\/18)\/(55\/528).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 269542891 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/7 - 50979*l**2\/7 - 215265720*l\/7 + 11111546052\/7 = 0. What is l?\nAnswer: -8522, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32*3*3\/(-4). What is the lowest common multiple of 16\/m - 58\/(-18) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 167, 155, 143?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2180)\/(-12))\/((-8888)\/(-1776) + -5) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 0.24, 232?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 2356. Suppose -l - 41 = -5*u. Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10396341.54297+-19\nAnswer: -10396360.54297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*c + 25, -c - 4*c = -4*i + 25. Let s be 4\/8 - (2 + -2). Factor 0*v - s*v**4 + 0 - 1\/2*v**3 + i*v**2.\nAnswer: -v**3*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 c when four letters picked without replacement from czzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w = -97*w + 1064 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2733*l = -2734*l + 23702. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 14*y**2 - 8*y - 24. Give v(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28727790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 72.8301 * -0.1\nAnswer: -7.28301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 - 10*q - 10. Let r be b(6). Let h(u) = u**2 - 10*u + 11. Let v = 12 - 4. Let t be h(v). Put 5, r, t in descending order.\nAnswer: 5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5468*s + 2752*s = -632940 for s.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 137 - 8?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228392ug in tonnes?\nAnswer: 0.000000000000228392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 30 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2 - 26*l + 92. Give n(4).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -711 + 714.164. Let a = r - 0.064. Let q = a - 3.6. What is the smallest value in 2\/3, q, 10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 288 = 50*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxmxxxmxxmxxm.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i + 0*i**2 + 3*i**2 - i**2.\nAnswer: 2*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:27 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26144.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/12 - a**3 - 5*a**2\/2 - a. Let g(s) = -s**2 + 3*s + 3. Let o be 120\/(-25) + 2\/(-10). Determine o*g(w) - 3*f(w).\nAnswer: 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/10 and -79\/152998?\nAnswer: 764990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 4*u - 5*u. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 28. Suppose -t = -4*n - 6. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:13 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from cvcccvcvcvccccccccc?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1650 and 8910?\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:17 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 0. Let v = -427\/13338 + 2\/351. Is v > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 - 222*l**4 - 3*l**3 + 2*l**2 + 2*l + 4679?\nAnswer: 120*l**3 - 5328*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2.5 (c) 3.7084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 338962387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473860771.\nAnswer: 17, 347, 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-4 + 2 + sqrt(171)) - (3 + (sqrt(114)\/sqrt(6))**2 + -2 + sqrt(19)*3)).\nAnswer: 84 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 1, v: 3, i: 4, w: 4}. Give prob of sequence qivw.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + 84 + -4 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -28) + -69 + (1 + 9 - (74 + -61))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 100, 300, 6 in ascending order.\nAnswer: -1, 2, 6, 100, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 - 266060*x**2 - 12238231*x\/2.\nAnswer: -x*(x + 23)*(x + 532097)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 33 + 12*q**2 - 34 + q**2 + 7 + q.\nAnswer: 13*q**2 + q - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 20 = -11*g + 7*g, 4 = 5*g - 26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60\/(-4)*(-18)\/10 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/154 + 928\/22. Let q = 44 - x. Let a be ((7 - 4) + q)\/1. What is the highest common factor of 20 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 6 + 6 + 14*t**3.\nAnswer: 14*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3139 and 730?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = 2*b - 3, -b = 2*x. Suppose -b*f + 28 = z + 2*z, 2*f = 2*z - 14. Solve -l - 2*y - 10 = 3*y, 4*l + z = -4*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 2, t: 1, v: 1, w: 1}. Give prob of picking 2 r and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) 0.18 (c) -78 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 24*p**2 + 46*p - 88. Let q be a(-26). What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 2, x: 1, q: 1, k: 1}. What is prob of picking 2 k, 1 q, and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -145, -369, -691, -1111?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-5)*(-650)\/39\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emh when three letters picked without replacement from {m: 2, e: 3, q: 7, h: 3, i: 5}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-35)\/14)\/(2\/20). Let u = 40 + x. Suppose 3*g = 306 + 9. Calculate the highest common divisor of g and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 264 = -0*b - 6*n, 21*b + 935 = -2*n - 81 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.26011 milligrams in kilograms?\nAnswer: 0.00006926011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10081 is divided by 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*z**4)*(2 + 2 - 2) + 2*z**4 - 3*z**4 + 2*z**4 + z**4 + 0*z**4 - 2*z**4 + (0 + 0 - 2*z**3)*(-z + z + 2*z) + 2 - 2 + 2*z**4.\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 5582.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/81)\/m)\/(m\/m**(17\/5)))**(2\/9) assuming m is positive.\nAnswer: m**(1154\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21955*c + 10968*c + 10958*c to h*c + s and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(539) + (sqrt(539) - (-5 + sqrt(539) + -1)) - ((0 + sqrt(539) - sqrt(539)) + sqrt(539))*3)**2 - (3*(-3 + sqrt(539)) + -1)**2*-6.\nAnswer: -1680*sqrt(11) + 18746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Suppose 0 = 2*o - 4 - 2. Suppose -6*g + 2*g - o*k = -39, 0 = 5*g - 3*k - 42. What is the remainder when g is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37553 (base 16) to base 14\nAnswer: -5c84b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 11*f + 11. What is a(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**2 + 15*g**2 + 5*g**2 + 6*g**2 in the form l*g**2 + p + n*g and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12141242 (base 5) to base 14.\nAnswer: 2dda5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -2638, -5445, -8824, -12457, -16026, -19213?\nAnswer: -21700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77443 divided by -8?\nAnswer: -77443\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 472260050 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 5, -0.3, -248.1.\nAnswer: -248.1, -0.3, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 3, 3*q - 9 = 69*t - 64*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -498*l**3 - l**2 - 2*l - 1. Let d be v(-1). Suppose -78 - d = -6*t. Let y = t - 12. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 978328 and 260?\nAnswer: 4891640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 5 = 4*q - 4*c, 0 = 4*q + 3*c + 31. Let s be 4\/(-10) + (-24)\/q. Suppose -4 = -3*l + 2. Is l at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130627506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 2*i + 2*i**2 - 3 - i + 2*i. Let v be u(-3). What is the units digit of v\/10 + 2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366\/445 - 2\/89. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2 + 3*i - 2*i - 2*i. Let a be h(-7). Suppose 0 = -a*c + 20, 5*o + 4*c = -c + 95. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - r - 1. Let m be z(-4). Suppose -2*n + 7*n = 15. Let c(h) = 2 - 7*h + n*h + m*h. Give c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/289 and -59\/51.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, -0.222012, -3, -2\/5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 1:05 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/350*5)\/((-60)\/(-280)))\/((-1)\/(-48))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let n(o) = -4*o. Let u(q) = -14*k(q) - 4*n(q). Let w = -19 - -22. Determine u(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1645*m**3 - 3247*m**2.\nAnswer: -9870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (sqrt(1008)*1 + -1 + -4*(sqrt(1008) + sqrt(1008)*1 - sqrt(1008)))*-4)**2.\nAnswer: 1728*sqrt(7) + 145192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) -53 (c) 1 (d) -1.7 (e) -40 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*(2 - 1)*(223 - 227)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143538?\nAnswer: 2, 3, 47, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661365217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30221211 - -1?\nAnswer: 30221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*y - 24 = 0, -b + 0 = -y + 6. Let s = 2 + -8. Let o = b - s. Let i(k) = -k**2 + k + 9. Determine i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/2) + 35. Suppose -3*q - t = -3*l, 0 = 2*l - 0*q + 5*q - 36. Solve 2*z = -n + 6, 3*n + 1 - l = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**5\/40 - o**4\/6 + 16*o**3\/3 + 14. Let w(b) be the third derivative of p(b). Let j be (0 + 2)*(-6)\/(-4). Give w(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 27 = 11. Let k = s + -17. Let t = -3207\/95 + 168\/5. Is k less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 2*y, -2*y - y = 3. Let g = 18 + j. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*v**2 - 54*v**2 - 47*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + i**2 - 2*i - 1. Let d(u) = -107*u**3 - 5*u**2 + 16*u + 1525. Let y(w) = -d(w) - 5*h(w). Differentiate y(c) with respect to c.\nAnswer: 291*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*8\/(-132))\/((-16)\/(-24))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 81 = -3. Let u be (376 + -4)\/2 + 3\/1. Let k = u + p. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2390937 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220.5 + -221. Let n be (-1 + 1*3)\/(-5). Which is the closest to n? (a) 2\/7 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 3*b**2 + 5 + b**3 + 5*b**2 - 2*b**2. Let k be n(-5). Let y = 226 + -116. Calculate the highest common divisor of y and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232626*p**3*u - 4*p**2 + 4*p - 2157*u wrt p.\nAnswer: 1395756*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79327?\nAnswer: 23, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 792 = -4*a, 5*r - 819 = -4*a - 0*r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/7))**17*(q\/q**(-6))\/(q\/q**(-2\/21))*(q**(-2))**(1\/2)\/((q*q\/q**0)\/(q**5\/q)) assuming q is positive.\nAnswer: q**(604\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:27 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -4)\/((-4)\/4). Suppose -q - 5*n + 42 = 0, 2*n = d*q - 2*n - 239. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -735333 (base 9) to base 4.\nAnswer: -1222223100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1489, 9 in descending order.\nAnswer: 1489, 9, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t + 54. Suppose -6*a = -3*a - 1185. Suppose -25*o + 20*o = -a. What is the remainder when o is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23991461?\nAnswer: 13, 23, 80239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.0288 (c) -5 (d) 5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236.945429 rounded to one decimal place?\nAnswer: 2236.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111 - -11?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 1 (c) -0.03 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3297, 0, -2\/7, 2, -4\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 77*r**2 - 3*r - 3. Does 34 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143009 is divided by 1624.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3913626*-0.2\nAnswer: 782725.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c - -2db?\nAnswer: 27e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242783*m + 242793*m - 90 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:14 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36 and 61\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 365*i**2 + 0*i**4 - 226*i**2 - i**4 - 6 as y*i + v*i**4 + c + h*i**2 + j*i**3 and give h.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(24)\/(1*sqrt(8)) - (3 + sqrt(12)\/sqrt(4))) + -1)*1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 2)*(b + b - 4*b) - 2 + 2 - b)*(-2*b**3 + 0*b**3 + 0*b**3) - 92*b**4 + 290*b**4 - 40*b**4 to p*b**4 + q*b**2 + y*b + d*b**3 + k and give p.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 24*y**2 + 7. Suppose -6*q - 204 = -60. Calculate the smallest common multiple of (-3)\/((-18)\/20)*3 and b(q).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31124404 (base 5) in base 14?\nAnswer: 68ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 0.79. Let d = 12942.81 + -12942.8. Which is the second biggest value? (a) -2 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 596 = 4*s + 4*m, 153 = -s - 2*m. Let k = s + 158. What is the greatest common factor of k and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 22, 33, 44, 55, 66?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1163 + -783. Let q = -382 + k. Which is the second smallest value? (a) -0.2 (b) q (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.51019 - 0.4899. Let x = -1.48 + 1.5. Let k = b - x. Round k to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18645946\/141 + 132239. Let w = -4\/47 - j. Let a(g) = -3*g**2 - 14*g - 16. Let t be a(-2). What is the second smallest value in w, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 133. Let x(b) = c*b + 1 - 23*b - 18*b. Let t(l) = l**3 - 4*l + 3. Let v(j) = -j**3 + 4*j - 2. Let h(w) = 6*t(w) + 7*v(w). Determine h(u) - 4*x(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148180 is divided by 3190?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2630 + -2?\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 149 = 19*o - 669 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677 + -578. Does 33 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**3 + 3. Let u(q) = -5*q**3 - 4. Determine 5*c(z) + 4*u(z).\nAnswer: 5*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let f(d) = -d + d + d + 0. Let k(l) = 3*l**2 - 13*l - 59. Let b be k(7). Determine b*f(o) + a(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 2*f - 3*f)*(2 - 3 - 4)*(f**2 + 0*f**2 - 2*f**2) in the form c*f**2 + m*f + n*f**3 + t and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d)*(12 + 9 - 6)*(1 + 5 - 26) + (4*d + 0*d - 3*d)*(3 - 2 + 1).\nAnswer: 302*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2261666, -4523330, -6784994, -9046658, -11308322, -13569986?\nAnswer: -15831650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 - g - 1. Let i(c) = c + 3. Let s be i(-4). Let x be q(s). Calculate the smallest common multiple of 4 and (2\/x)\/1*8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71 - 71 + 8*r + (-2 + 3 - 5)*(0*r + 2*r - 3*r) + 2*r - 1 + 1.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23042.37 and -16.9.\nAnswer: 23025.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, 1\/421, -1, 3, -46 in decreasing order.\nAnswer: 3, 1\/421, -2\/29, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2162 + 2167. What is the lowest common multiple of 311 and i?\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 47*o**2 - 92*o + 187. Let k be l(45). Solve -k*m = -102*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 13?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*o + 266*o + 141*o = -26568 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3692 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43524 or -43523?\nAnswer: -43523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*w + 3*w - 6*w + 91 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = 37*c - 18*c. Suppose c*v + 4*g - 19221 = 24*v, 2*g = -5*v + 32021. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-5))\/((-2)\/50). Suppose 0 = -0*n - 5*n - 4*y + 270, 54 = n - v*y. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*((5 + 0 - 3)*(0*v + 0*v + 2*v) - 21*v - 3*v - 9*v)*(-1 + 2 + 0) - 5*v - v - 8*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from fjofotf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/9 (b) 4\/9 (c) -4 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100203 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3, -8, -1\/8, -0.83?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 26223*m - 5. Let v(n) = 17*n - 1. What is z(v(w))?\nAnswer: -578*w**2 - 445723*w + 26216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 1:04 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 151\/2. Let q = 0.032 + 3.868. Let k = 5.2 - q. Is k greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13272810 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 379 (b) -4\/3 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/148190428 and -75\/61019588.\nAnswer: 1037332996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307647.\nAnswer: 173, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38930 + -1e3?\nAnswer: -38b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c - 113*c + 766 = 3263 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*x + 56 = 0, -5*w + 33 = x - 49. Let m be (-78)\/(-15) - 22\/110. Solve -m*p - w = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 20. Put 14, 2, w, -2 in ascending order.\nAnswer: w, -2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -7*u - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1019.64 * -48.\nAnswer: -48942.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7249 - -0.324\nAnswer: 7249.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x - w, -2*x = 3*w - 16 + 3. Find the common denominator of (x\/(-3))\/(28\/(-98)) and 29\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-9)\/3) + -10. Let p = m - -17. What is the remainder when 9 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 72586558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2460*j - 3067 = -101467 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 4*r - 4*r)*(2053*r - 22 - 1030*r - 1030*r) - 4 + 4*r + 3 - r - 2*r**2.\nAnswer: -16*r**2 - 41*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b**2 + b**5 + 15*b**2)*(8 + 4 - 6).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 4*i**2 - 2*i + 2. Calculate p(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kvvvkvvkvvvvvkvk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/12586 and -67\/434.\nAnswer: 12586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -17008, -0.2?\nAnswer: -17008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v = -64*v + 112 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/5233 or -106?\nAnswer: 21\/5233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-612)\/(-1296) + 4\/(-18))*20. Let m be (-2)\/5 + 6\/15. Suppose -3*d + 16 + 23 = m. Solve 4*s + 10 = -2*i + 2, -d = y*s + 4*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/19, -0.06, -0.735, -4\/5 in descending order.\nAnswer: 6\/19, -0.06, -0.735, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -30*(0 - 12\/8). Let l = p + 80. Calculate the remainder when l is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3730, 7578, 11610, 15826, 20226, 24810, 29578?\n\"Answer: 92*n**2 + 3572*n + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 9*q - 675. What is the units digit of r(-62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/8)\/((-17)\/(1088\/(-48))). Solve -l*s + 11*s - 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 24406?\nAnswer: -24405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096204 to 5 dps.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2760 divided by 184.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0 - 1\/8*y**4 + 0*y**3 + 1\/4*y**2 - 2*y + 1\/20*y**5. Suppose l(h) = 0. What is h?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.09 - -2.91. What is the second smallest value in -1, -4, 3, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -538*h**2 - 11299*h - 25. Determine s(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -9. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88865 at most 88867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Suppose -c + 4 = c. Suppose -5*a + c + 13 = 0. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-10))\/(48\/1120).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:08 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b88c0 (base 13) to base 14.\nAnswer: 4a9457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-6))\/(-18)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31229690 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 73809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263394409.\nAnswer: 263394409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r + 608. List the prime factors of o(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37102\/(-7) - 6\/(-21). What is c rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-2*v - v + 4*v)*(7*v**2 + 3*v**2 - 4*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9564.\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 501 + 1431. Let m be -10625*(3 - w\/4). What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 115\/3 (b) 1\/5 (c) -0.02968\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-29.08\nAnswer: -87.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 - -202. Calculate the remainder when 230 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.060977 litres in millilitres?\nAnswer: 1060.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 6, t: 2, h: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1837, 3672, 5507, 7342, 9177, 11012?\nAnswer: 12847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 14 + 11 = 4*u, -5*u = -3*l - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -12. Let j be -1*3\/(-6)*o. Solve -j*x + 2 = -5*h, -3*h + 1 = x - 2*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 8*w - 13. Suppose 39*d + 75 - 348 = 0. Calculate r(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-5)\/(-6)) - (-84)\/(-21). Does 8 divide 64\/t*(-770)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 18 = -5*i, 3*i + 5*t - 2*t - 12 = 0. Find the third derivative of -2*o**3 - 127*o**2 + 4*o**3 + 119*o**i + o**3 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -26. Let o = -19 - -55. Let m = o + x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 10*l**2 - 10*l - 3. Let f be z(-9). Suppose f*n - 12 = 3*n. Differentiate 2 - 1 - 3*y**4 + 2*y**n wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1930, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(4*k - 5*k + 2*k) - 320*k + 78*k + 51*k.\nAnswer: -193*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 33, 69, 141, 261, 441?\n\"Answer: 2*m**3 - 2*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -509, -3677, -11935, -27719, -53465?\n\"Answer: -406*r**3 - 109*r**2 + r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. Let q be b(1). Suppose q = -5*z + 3 + 2. Let d be (z\/(-3))\/(10\/12). Which is greater: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19752624 is divided by 1302?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 61*y - 1560. What is the lowest common multiple of v(-84) and 310?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 - 68*t**3 + 1507*t**2 - 10800*t = 0.\nAnswer: 0, 16, 25, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2748 and 184467.\nAnswer: 187215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 4*o + s, 43 = o - 0*s - s. Suppose -8 = 38*x - o*x. Let n(j) = j**2 - 1. Determine n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11705 = -5*y - 2*d, 5*y = -56*d + 55*d + 11705. Let a = -736 + y. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 + 86 + -15 + 0 - (10 - 4)) + -19.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 - 3*g**2)*(0 + 3*g + 0) + 3*g**3 + 0*g**2 - g**3 + 2*g**2 to d*g**2 + w*g**3 + o + a*g and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 95 = -3*w. Suppose 3*h + h - w = -3*v, 3 = 3*v. Suppose h*d = -5*r + 4 + 13, -5*r - 7 = -4*d. Solve -z + 3*z - 2 = 0, -4*z + 7 = d*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109\/763*147\/9\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 87.2?\nAnswer: -52.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-13)\/26*(-2)\/(-27)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -539*j - 54975. What is v(-102)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95252821 rounded to the nearest ten thousand?\nAnswer: 95250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let s(i) = 3*i - 7*i**b - 10 - i + 0*i. Let r(o) = -4*o**2 + o - 5. Let c(p) = 5*r(p) - 3*s(p). What is c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 16.361, 166, 26\/9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18300288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 10. Let n be (-4)\/(-8) - w\/2. Solve n*v = -0*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**2. Let h(o) be the first derivative of -o**2\/2 + 27. What is v(h(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (2 + 0 + -8) - (0 + 1)) + 35\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**3 - 2*u**2 - 4*u - 2. Let v be n(-2). Let l be 150\/v - 2\/(-9). Calculate the remainder when (-26)\/3*-1*l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z + 1\/2*z**4 - 9*z**2 + 7\/12*z**5 + 0 + 0*z**3. What is the second derivative of n(g) wrt g?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7085728 and 2496.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 3. Let z(r) = 3*r + 2. Let w(l) = -2*h(l) + 3*z(l). Suppose 0 = 4*q + 331*n - 332*n - 24, -q + 23 = 4*n. Give w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(-3 + (sqrt(1100) + -4*(1 + sqrt(1100)))**2*-4 + 4).\nAnswer: -237980 - 5760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**34*r*r\/r**(2\/13) assuming r is positive.\nAnswer: r**(466\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 3 + 3 = 0. Suppose 8*n - 6*n + 12 = z. Let t be (5\/(45\/n))\/1. Put t, -18, 0.4 in descending order.\nAnswer: 0.4, t, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -3283 (c) 0.5 (d) 0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 221, 565, 1047?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 - 9*u + 103 + 10*u + 85.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.75. Let h = -14977 + 14977.24996. Let n = h - j. Round n to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(-6\/11)*g*g)*g)\/g)\/g)\/g*g**(-1\/13)*g**(-9)*g**5)**(-10) assuming g is positive.\nAnswer: g**(9340\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 3*y)*(-10 + 16 - 9)*(2 - 2 + 3)*(0 - 3 + 0).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245624 is divided by 5226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -1 (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13133 - -13142. Suppose -q - 39\/5*g**2 + 87\/5*g - 3\/5*g**3 = 0. What is g?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 531*y - 21785 + 21785 + 0*y**2 as x*y + r + d*y**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 11*j + 818 = 0. Suppose -2*m - 176 = n, -31 = 5*m + 3*n + j. Let u = m + 93. Solve y = 5*y - u*r - 6, r - 2 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812338.4 months in decades?\nAnswer: 15102.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 21112?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.003101 to the nearest integer.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2713451 (base 11) to base 15\nAnswer: 6297d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7 - -8 - 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1781502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-63)*96\/32?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c - 3*s - 17235, -s + 4300 = c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 10*s - 3. Let i be y(4). Suppose -t - 3 = 0, -i*n + 4*t = 9*t + 585015. What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-210)\/28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235440 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252456 - -2050456. What is j rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z - 114*z + 320 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2807 - -2825. Let z = 8 + -5. Which is the closest to z? (a) 4 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(187)*-2)\/(sqrt(396) - 2*sqrt(396)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 200.06 in -3\/2, -60, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -452*l - 564 + 15932 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41854 is divided by 1192?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*r = -46, -2130*r - 74 = 2*f - 2133*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029276859.\nAnswer: 17, 229, 383, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*l + 13, 0 = 3*w - 0*l - l - 14. Suppose 0 = 4*v - w*v - 11. What is the remainder when v is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4113*k**2 - 558*k**2 + 7035*k**2 + 2836*k**2.\nAnswer: 13426*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1404.693865 to the nearest 10.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*2)\/(sqrt(24)\/(sqrt(9)\/sqrt(3))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*z + 40914*y - 40916*y, 0 = -2*z - 3*y - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-26) - 22\/26. Let d = k + -5. What is the units digit of 3 + d*1\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 42a?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 4*u**2 - u + 4. Suppose 4*s = -i + 3*s + 6, -4*s = -8. Let h be q(i). Suppose h = 3*f - 0*f - 15. Is f greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2\/11, -1\/8, -0.4 in decreasing order.\nAnswer: 2\/11, -1\/8, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-165))\/((-1)\/(-5))*(-21)\/(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52144 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5 and 137\/5220.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8277 and -145\/186?\nAnswer: 16554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 48 = -2*l. Let y be -3 + 1 + (10 - (l - 2)). Suppose -3*v = -y*r + 89 + 32, 0 = 3*r + 2*v - 112. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + -2022?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 77187 = 2*f, -69*f + x - 38590 = -70*f. What are the prime factors of f?\nAnswer: 7, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*y**2 - 41*y**2 - 40*y**2 - 45*y**2 - 37*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = 0. Suppose g = 5*i - 4 - 1. Let x(y) = -y + 2. Let t be x(1). Calculate the greatest common factor of i and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10 = -4*q. Let u be 10\/25 + (-13004)\/q. Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 100*r + 15 - 34 + 8 + 92*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 163 = -3*y. Let q = -93 + y. Let b be (q - -27)\/(2\/(-10)). Solve b*s - 2*s - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 731*s - 770*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, -3, -89, -4 in descending order.\nAnswer: 35, 4, -3, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 699695 or 699707?\nAnswer: 699707","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1334)\/(-5) - 1\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19621 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-237499)\/10279 - 23\/(-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**7\/35 - 3*u**4\/4 + 23*u**2\/2 - 7*u. Let a(q) be the first derivative of w(q). Find the second derivative of a(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1975*l**3 + 4*l**2 + 13*l + 24. Let a(f) = -658*f**3 + f**2 + 4*f + 7. Let t(q) = 7*a(q) - 2*y(q). What is the hundreds digit of t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 + -657. Let x = -426 - m. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-126))\/(174\/(-42)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/9, -3243, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156581*f**2*x**2 + 19974*x**2 + x - 2 wrt f.\nAnswer: -313162*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7123 + -4934. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylul. Give prob of picking 1 l and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 58*o - 9. List the prime factors of h(2).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -6*6\/9. Let t = g - -13. Solve -t*a - 16 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 4*k = 5*v + 272, 0 = -2*v - 5*k + 129. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 15883*q + 31762 = 0. What is q?\nAnswer: 2, 15881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*(g*(g**(12\/7)\/g)\/g)\/g)**(-21) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**2. Let a(u) = -9*u. Let n(c) = -c**3 + 7*c**2 + 10*c - 9. Let l be n(8). Let b(x) = -5*x. Let z(t) = l*b(t) - 4*a(t). Give z(i(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 4. Suppose -21*i = -26*i + 20. Suppose -n + 28 = i*n - o, n - o = 4. Give t(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6171 and 10835913?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36571241 + -1?\nAnswer: -36571242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 645?\nAnswer: 8385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*n = 2*x - 113*n + 33, -n - 7 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -41.1 * 3\nAnswer: -123.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-95)\/(-19))*(-7)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**2*u**2 + 2044*p**2*u + 127*p**2 + 2199*p*u**2 + 2*p*u - p - 10*u**2 wrt p?\nAnswer: 2*u**2 + 4088*u + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*f - 1, 85*p - 244*f - 39 + 289 = -243*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42660 by -61.\nAnswer: 42660\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**2)\/a)\/a**(-3\/5))\/(a**(-2\/5)*a*(a\/a**(-6))\/a) assuming a is positive.\nAnswer: a**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 340432340?\nAnswer: 340432334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 11) to base 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/24 - v**3\/6 + 7*v**2. Calculate u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/a**(2\/23))\/(a\/(a*a\/(a*a**(-12\/7))))**49 assuming a is positive.\nAnswer: a**(9696\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 20 = 2*l, -140*j + 36 = 5*l - 144*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216454151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -63 - -15 - (-100 + 113)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1880168\nAnswer: 3\/1880168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-7)*(-18)\/27.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1229285, 1229289, 1229295, 1229303, 1229313, 1229325, 1229339?\nAnswer: 1229355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 2*u + 2*u + (4*u + 5*u + 2*u)*(0*u + 3*u - 2*u) as h + a*u**2 + s*u and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55505 - -2?\nAnswer: 55510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0*j**2 + 0 - 1\/6*j**3 - 3*j. Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 2. Suppose -y*l = -3*k - 57, 42 = 2*l - 0*l + 2*k. Let n = 35 - l. What is the highest common factor of 88 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**3 + 1. Let p(w) = -w + 1. Let r be p(2). Suppose -2*a + 6 = -0*a, -4*g = 5*a - 31. What is the lowest common multiple of g and n(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -11. Suppose l = 16*x - 18*x + 26. Solve i + 9 = -5*v, -x = -6*i + 3*i + 5*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n**2 + n)*(3 - 3 + 2*n) - 5*n**3 + 2*n**3 + 4*n**3 + (0*n**2 + n**2 + 3*n**2)*(7*n + 2*n - 4*n) - 2*n**3 - 2*n**3 + 2*n**3.\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9132 and 422520?\nAnswer: 321537720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*x + 18 + 6, 3*m - x - 1 = 0. Let o = 164.4 - 162.4. Let i = 1 - 3. Which is the closest to m? (a) i (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 3*z**2 - 5*z + 4. Let x(c) = -c**2 - 45*c - 192. Calculate the remainder when f(5) is divided by x(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/100)\/((-27)\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*j**5 - 60811*j**3 + 23*j**2 + 7*j - 12740 wrt j?\nAnswer: 2820*j**2 - 364866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30974 (base 10) to base 13.\nAnswer: 11138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/4)\/k**(-2\/17)*((k\/(k*k\/(k*k\/k**(2\/5))*k*k))\/k)**40 assuming k is positive.\nAnswer: k**(-6469\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**6\/40 + k**3\/2 + 3*k**2\/2 + 2. Let q(g) be the second derivative of z(g). Find the first derivative of q(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = 5*u - u, 4*u = 4*i - 16. Let n = u + 7. Suppose -k - n*k + 112 = 0. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 - 6235*x**4 + 2487830*x**3 - 310807850*x**2 - 3441006875*x + 1889818133125 = 0. Calculate x.\nAnswer: -65, 151, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 - 290.6. Let z be (6\/(-63))\/(33\/21 + -2). Which is the third biggest value? (a) z (b) j (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2500 - 4?\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8422, -483 in descending order.\nAnswer: 8422, 4, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3060*j**3 - 3410*j**3 + 6467*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -655)*7\/(280\/16). What is c rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, 47303, 4 in descending order.\nAnswer: 47303, 4, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - q**2 + 152*q - 6. Let p(m) = -4*m**3 - 2*m**2 + 302*m - 11. Determine 4*p(j) - 7*r(j).\nAnswer: -2*j**3 - j**2 + 144*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0606212 to four decimal places.\nAnswer: 0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3*u**2\/2 - 5*u + 3. Let v be k(-3). Suppose v*w - 2*r - 148 = 0, 3*w + 0*w - r - 112 = 0. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821642669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 6, i: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from vwyktvtny?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -500 + 537. Calculate the remainder when 98 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1244763 or 1244798?\nAnswer: 1244763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11544 (base 7) to base 12.\nAnswer: -18b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 4. Let c(x) = -x**j - 7 - x + 5*x**2 - 2*x**2. Is 14 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, x: 2}. Give prob of picking 2 x and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3722 + 0 + 18 + 17 + -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 3 + 0 + 7*h. Does 10 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*i - 976 = 0, 0*x - i - 1966 = -4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**3\/6 - h. Let s(f) = f + 2. Let l(u) = -4*u - 7. Let n(y) = 6*l(y) + 21*s(y). Give n(g(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 663 - 637. Suppose 2*r + 5*z + 77 = 0, -4*z + 3 = -z. Let l = h - r. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 2 - (-4 - -5). Suppose 4*c = k*c - 16. Solve -5*l + c = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 21011798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -52 + (-1 - 1) + 30 + 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - 0 - (-6822)\/(-81). Let k = 114 - i. Calculate the greatest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + (34 - -13) + 49?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:03 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12445860 is divided by 199.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 288\/84 - 16\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -9312, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3 - 0. Let j be -1 - (-2 + -2 - f). Let y(k) = -3 + 3 + k**j + k - 6 - 7*k. What is y(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*u - 4, 37*u - 6 = 35*u + 4*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 17*a - 12288 = 13*a, 5*a - 3088 = -c. What are the prime factors of c?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*g + 4*w - 885, 0 = -3*g - w + 1325. Suppose 0 = -0*r - 8*r + g. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**2 + 7504*y - 7504*y - 566.\nAnswer: 17*y**2 - 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.2, 5, -0.3, 0.5, 0.4, -13266?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0341808603 + -12.\nAnswer: -11.9658191397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5980526, 5980544, 5980566, 5980592?\nAnswer: 5980622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6967405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x*y**3 + 2*x*y**2 - 9*x - 3*y**4 - 5 wrt y.\nAnswer: -6*x*y**2 + 4*x*y - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 2*q - 6 - 4 + 4. Let j be f(-4). Is j\/5 - 252\/(-20) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**8)*h*h**1)**(-4\/25) assuming h is positive.\nAnswer: h**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2024999*l + 8. Let m be i(8). Suppose -10*k = -4*k + m. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*q = 86*q - 10552. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/3 - 13*a**3\/3 - 87*a**2\/2 + a + 46. Is x(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o + 5*t + 30, 3*o = -4*t - 23. Which is bigger: o or 32\/5?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 6*j. Suppose -2*i - 8 = -j. Let p = -2 - i. Solve -2*w = -6 - p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -2*w**3\/3 + 11*w**2\/2 - 21*w - 2600. Determine m(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)*n*n)\/n**(-8\/13) assuming n is positive.\nAnswer: n**(115\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57143 (base 8) to base 2.\nAnswer: -101111001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137130, -137145, -137178, -137235, -137322, -137445, -137610, -137823?\n\"Answer: -c**3 - 3*c**2 + c - 137127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.2 + 3.2. Sort 4, b, -19.\nAnswer: -19, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -112. Let h = i - 8. Let m(r) = 9*r - 320 - 2*r + 315 - r**2. Let u(b) = -b**2 + 3*b - 2. Give h*m(w) - 5*u(w).\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -80, 0.02298, 8, 3 in descending order.\nAnswer: 8, 3, 0.02298, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -34. Let s = -30 + 16. Calculate the common denominator of (-140)\/(-88)*40\/s and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 121, 43, -53, -173, -323, -509, -737?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 - 84*d**3 - 1202*d**2 - 6720*d - 12800 = 0 for d.\nAnswer: -16, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 + 6*t - 1. Let o be c(5). Suppose -o*w = 2 - 10. What is the nearest to -2\/19 in 0.1, w, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Suppose m = 3*i - 8, 2*i - 5*m + g = -2*i. Find the third derivative of -5*h**4 + 2*h**2 + h**i + 2*h**4 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.2. Let k be (-13)\/(-91) + (-5)\/((-420)\/(-117)). What is the closest to -0.1 in s, 2, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 12 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r. Let f(h) = 9*h. What is l(f(k))?\nAnswer: 45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -62*r**2 + 3645*r - 7282. What is p(2)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.10432 microseconds in hours?\nAnswer: 0.0000001372512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -j - 0*k - 612, -5*j - 4*k - 3038 = 0. What is j rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**6\/360 + n**5\/120 - n**3\/3 - 3*n. Let y(g) be the second derivative of o(g). Factor y(r).\nAnswer: -r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16\/c**(2\/55))**44 assuming c is positive.\nAnswer: c**(3512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87.4 - -18.5. Let b = s + 72. Let u = b - 3.0919. Round u to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 5.2. Let n = 0.99 + d. What is n rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p - 27*p + 1105*p + 588*p.\nAnswer: 1729*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/(0\/(-2) - -1). Let h = 19 - p. Suppose -4*z - 5*j = -45, -h = -3*z + 2*j - 1. Calculate the remainder when 9 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 * 1494935\nAnswer: 139028955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*557\nAnswer: 111.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28048 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 + 10*j**3\/3 - 23*j. Let u be b(20). Solve -3*r + u*r + 4 = f, 3*r + 4 = -5*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 3*y**2 - y + 1. Let f be g(-3). Let j = -8 - -5. Let k = j + -1. Put f, 1, k in ascending order.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*o**2 + 71*o - 71*o + (0 + 1 - 2)*(-o**2 + 0*o**2 + 2*o**2) + 2*o**2 + 0*o**2 + o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5*(0 + sqrt(242)) + 0)**2 - (4 + 3 + (-3*sqrt(242))**2)).\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4\/9 (c) -1 (d) 187 (e) -11 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + k**3 + k**3 + (-2*k**2 + 2*k**2 - k**2)*(-2 - 7*k + 2).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t**3 + 9*t**2 + 31*t - 1. Suppose -5*o - 11 = 4. What are the prime factors of v(o)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and -0.06563?\nAnswer: -4.46284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose 5*w - 4*w = -4*l - 28, -s*w = 5*l + 50. Let a(d) = -d**3 + 2*d**2 + d + 3. Is a(l) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173 by -5.\nAnswer: -173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-34)\/(-18) - 2). Let a = -10 - h. Let b be 36\/(-40) + a\/(-2). What is the closest to b in -0.5, -3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 640 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5400994399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.111, -3\/8, 31\/32, 0.07 in increasing order.\nAnswer: -3\/8, 0.07, 0.111, 31\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 14*z - 10. Calculate x(15).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - b - 2. Let j be w(2). Suppose -3*q + 4 = -2. Solve -q*n - n = j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215482 or -215158?\nAnswer: -215482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 3 = 11*u. Suppose -4*t + u*t = -10. What is the least common multiple of t and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 87.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -6 + 14. Suppose -m = -6 - u. List the prime factors of (4\/m)\/((-1)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 5*k - 8*k + 92 + 166 + 2*k in the form t + z*k and give t.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0042 in -2\/9, 1\/12, -10?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -2 (c) -3\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p*u**2 - 53*p*u + u**5 - 63137*u**3 + 756*u wrt u?\nAnswer: -2*p + 20*u**3 - 378822*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyqa when four letters picked without replacement from {q: 2, r: 1, y: 1, l: 5, e: 1, a: 7}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68110 and 1715.\nAnswer: 476770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 4018.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 5*j + 4. Let o = -6 - -9. Suppose -2*y + 9 = -o*i, -3*y + 8*y - 10 = 5*i. List the prime factors of a(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57551 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d - 2*d + 2*d + 5 - 6 to l + a*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + g = 28*l - 2, 0 = -3*l - g + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**6\/45 - 14*k**5\/25 + 10*k**4\/3 - 2792. Suppose b(o) = 0. What is o?\nAnswer: -25, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 - 216*d\/7 + 237.\nAnswer: -3*(d - 7)*(d + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {j: 3, w: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*9\/(-3). Let f(m) = m**2 + 13*m - 8. Let v be f(j). Suppose 176 + v = 2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -84, -0.3, -15\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Suppose 4 + 8 = -y*q. Let c = q - -6. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 2)*-3 + (sqrt(18) - 2*(sqrt(18) + 0)).\nAnswer: -21*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 760.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1348 - -0.2348. What is the closest to 1.4 in t, 0.4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 1033 = 156*z. Let a(u) be the third derivative of u**4\/24 + u**3\/3 - 4*u**2. Let t(j) = j**2 - 3*j - 5. What is z*a(k) + 3*t(k)?\nAnswer: 3*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -581083.9 rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -45 + -18 + 0 - -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39176 is divided by 117.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -526\/101 >= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 3*i + 1\/18*i**4 + 14\/9*i**3 - 1\/63*i**7 - 8\/3*i**2 - 13\/30*i**5 + 7\/45*i**6 - 1. Find w such that u(w) = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 4*r**2 + r - 4. Let i be p(-3). Suppose 2 = f - i. Calculate the remainder when 15 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/(44\/(-12) - -4). What is the nearest to 0 in -0.4, x, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1a7a (base 12) to base 15\nAnswer: -e77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75857\/30192 + 21\/2516. Calculate the common denominator of -47\/12 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/72 + d**5\/60 - d**3\/6 + 2*d**2. Let h(q) be the first derivative of v(q). What is the second derivative of h(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.1 and 0.1.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271 + 269.57. Round i to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - -19. What are the prime factors of b?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/5 - 20\/(-50). Suppose 10*a - v*a = 80. Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*w**6 - 1 - 5 - 5*w**6 + 2*w**4 + 4*w**2 wrt w?\nAnswer: -1920*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245742876.\nAnswer: 2, 3, 677, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18280126957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(((-32)\/(-12))\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 81*h + 559. Give a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/7))**(-10\/7)*(z*z*z\/((((z*z**(-3))\/z)\/z*z)\/z))\/(z*z*z*z\/z**(-2\/7)*z*z) assuming z is positive.\nAnswer: z**(-15\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 196*p - 130. What is q(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 744?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -33, -268\/9, -4, 0.2, 0.1, -9\/7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/72 and 56\/7209?\nAnswer: 57672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 741485 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(1\/13)*i*i)\/i)**(7\/3)\/((i*i\/i**(-3))\/i)**(-22) assuming i is positive.\nAnswer: i**(3803\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**3\/7 + 761*y**2\/7 + 10866*y\/7 + 2680 = 0. What is y?\nAnswer: -67, -140\/9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -16. Let m(h) = -h - 1. Let i be m(-6). Let a = -3 + i. Solve -z*k - 8 = a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 0, -2*a - 8*b + b + 8*b = 5 + 4 + 19 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*z**2 + 7*g**2*z + g**2 - 42*g*z**2 - 2*z wrt z.\nAnswer: -4*g**2 - 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43779626, 43779627, 43779628, 43779629, 43779630?\n\"Answer: x + 43779625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s - 47*s - 182 = 0. Suppose q = 3*r + 87, -q + s = 11*r - 13*r. Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -5*m**3\/3 + m + 165. Let r(f) = 2*f. Determine z(r(q)).\nAnswer: -20*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v + 18*v + 57*v - 16*v - 9*v - 30*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373565429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-4*2 - (1 + sqrt(114)\/sqrt(6))**2 - (-2 + 1*(sqrt(1539) - (sqrt(1539) + sqrt(1539) + 1))).\nAnswer: -17 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 710 divided by 710\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -74, -77, -80?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/6)\/(164\/369). Solve 12 = 6*r - w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -82, -69, -54?\n\"Answer: b**2 + 8*b - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/i*i**2)\/((i*i**(4\/7)*i)\/i**(-2))*i*i*i**6\/i*(i\/i**4)\/i*(i**(-4)\/i)\/i**(-4) assuming i is positive.\nAnswer: i**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, -42266, 1.\nAnswer: -42266, -338, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1970 (base 11) to base 5\nAnswer: -34442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 82 = -5*o + 46, 4*y + 79 = 3*o. Which is the closest to 2\/7? (a) -3\/8 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 19072*l\/7.\nAnswer: -2*l*(l - 9536)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(25\/75*2*(-3)\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a kilometer in meters?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108.5 or 78?\nAnswer: 108.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2. Let s(x) be the first derivative of 5\/2*x**2 + 0*x + 9. Give k(s(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -53938.\nAnswer: -2481148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -2.70343?\nAnswer: -18.92401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.39283 grams to nanograms.\nAnswer: 14392830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 15 - 9)*(-4 - 2*v**3 + 4).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v - 3*k - 27, 4*v + 27 = 3*k. Let g(l) = 2*l**2 + 7*l + 10. Let j be g(v). Let s = j + -39. Calculate the highest common divisor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*1*0. Suppose d = 2*f - 7*f + 2*p + 12, 2*f = 2*p. Let m(i) = 7*i - 2. Let k be m(2). Solve 0 - k = f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c + 2*c**3)*(4 - 4 - 2) + (-7*c + 12*c + 8*c)*(4*c**2 + c - c) to q*c + o*c**3 + w*c**2 + i and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 15\/(-5) - 0. Factor 0 + 2\/7*x**3 + 2\/7*x**2 - 2\/7*x**5 - 2\/7*x**v + 0*x.\nAnswer: -2*x**2*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 556*i\/3 + 77284\/3.\nAnswer: (i - 278)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3396331.98 - 4.\nAnswer: 3396327.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -10.02978?\nAnswer: 3.02978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 83. Calculate the common denominator of 19\/38 + (-142)\/x and 2 + (-2)\/(-20) - 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4 - 2 - -6)*(5600\/(-60) - -30)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**5\/25 - s**4\/5 - s**3\/3 - s**2\/5 + 3231. Let i(a) = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j**3 - 11\/12*j**4 + 9\/10*j**5 + 0 + 0*j + 37*j**2. What is the second derivative of k(s) wrt s?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 587351, 586738, 586123, 585506, 584887, 584266, 583643?\n\"Answer: -v**2 - 610*v + 587962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*q - 10*q. Suppose -5*b - 2*o = -62, 2*b - 6*o + q*o = 22. Solve 3*i - b = 6*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 8*q + 70. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4 = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4249904\/5 or -849981?\nAnswer: -4249904\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -46.6 (c) 3 (d) 5357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0*a**(-2\/5))\/(((a**32*a)\/a)\/(a\/(a**(3\/7)*a))) assuming a is positive.\nAnswer: a**(-1114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4380 divided by 26\nAnswer: 2190\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 19 = 4*u, 3 = 3*u + 5*r - 2*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*s = -0*s - 5, -4*s - 20 = 0. Suppose -6 = 3*p, p = 4*j + y*p - 1118. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 33 - 3. What is the second derivative of -63 - 33*d**2 - 91*d + n*d**4 - 55 + 118 wrt d?\nAnswer: 24*d**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*g + 4*p - 49, 3*g + p + 0 + 1 = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 56\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -66 + (26 - 51) - (-40 + 10)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1052, 2651, 6986, 15425, 29336, 50087, 79046?\n\"Answer: 228*c**3 + 3*c + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**15\/r)**(-3\/28)*((r**(-6)*r)\/r)**(-14\/13))**(-41) assuming r is positive.\nAnswer: r**(-5289\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.2. Let t = 552.799968 + -552.6. Let b = t - u. Round b to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let q(z) = 10*z**2 + 5*z - 5. Let x(p) = 5*p**2 + 2*p - 2. Let s = 17 - 22. Let g(w) = s*x(w) + 2*q(w). Determine g(t(j)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2549 = 14*p - 10*p, 0 = -4*p + m + 2539. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from zzzzzzzbzzzbbzzzbz.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -30*a + 32*a - 53*a + 2. Suppose 3*r + 4*s + 11 = 0, -5 + 14 = -5*r - 2*s. What are the prime factors of p(r)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -270 + -35?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2578898 divided by 1.\nAnswer: 2578898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64007627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60770 rounded to the nearest one thousand?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 + a**4 + (-a**2 + 2*a**2 - 3*a**2)*(3 - 5*a**2 - 3))*(-4*a - 1 + 1 + (1 - 2 - 2)*(a + 2*a - 2*a) + 2*a + a - 2*a).\nAnswer: -66*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*k**2 + 15*a**2*k*p**2 + 95*a**2*k - 80*k**2*p**2 + 8491*k**2*p - 468*p**2 wrt p.\nAnswer: 30*a**2*k - 160*k**2 - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(52)\/sqrt(4) + sqrt(13) + 2 + 2 + sqrt(13))**2.\nAnswer: 30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(((-2671590)\/(-380))\/(-327))\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -309, -388, 1\/5?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415*p + 3772 = 581*p + 670*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -2\/7, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14399*x + 7173*x + 6898*x)*(2 - 3 + 6*x + 2) in the form m*x**2 + u + k*x and give m.\nAnswer: -1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -920289652*m - 958475561 wrt m?\nAnswer: -920289652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*v - 8*v - 3*v + (-1 + 2 + 0)*(-v + v + v) - 619*v + 2792*v + 1311*v.\nAnswer: 3498*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 20 = -34*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -6*z**5\/5 + 11*z**4\/6 + 7*z**3\/6 - 21*z**2 - 3*z + 10. Find the second derivative of c(k) wrt k.\nAnswer: -144*k + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -22. Let s = 21 - c. Suppose -s*a = -5*a - 68. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2098788 and 13692?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f**2 + 6*f**2 + 2*f - 9*f**4 + 7*f**2 - 2*f**3 + f**3 in the form c*f + k*f**3 + g*f**4 + h*f**2 + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 (base 10) in base 14?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17249 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -1 - (-17)\/(-3). Which is the nearest to -0.1? (a) 3 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*w**3 - 7*w + 7*w)*(-14*w + 2 - 1 + 8*w) to the form a*w**2 + q*w**4 + s*w**3 + c*w + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2038276, 4076586, 6114896, 8153206?\n\"Answer: 2038310*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -71 + 47)\/((-25)\/2).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, q: 3}. What is prob of sequence qvq?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) -950 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 667 and 2599.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-39)\/(-12) - 880\/(-64). Calculate the greatest common factor of f and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -394775, -394779, -394783?\n\"Answer: -4*i - 394771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 83*s - 464. Suppose 3*z = -5*j + 76, 4*j - 4*z - 62 = -6*z. Calculate the remainder when g(7) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**2 + 771*v + 756.\nAnswer: 3*(v + 1)*(5*v + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39853*f - 39905*f = -468 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(153) + (sqrt(272) + 0)**2.\nAnswer: 3*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12557, -5371, -5 in descending order.\nAnswer: -5, -5371, -12557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9659\/30 - 1669\/5. Let m = z - -124\/3. What is the common denominator of m and -32\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18 = -7*n. Let r(p) = 2*p + 15. Let m be r(n). Find the second derivative of -20*k - 49*k**3 + 49*k**m + 11*k**4 wrt k.\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6310, 2\/11, -0.13 in increasing order.\nAnswer: -1, -0.13, 2\/11, 6310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(460\/(-3)))\/((-61)\/(-46360)*76).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 382 - 6*v - 382 + 4*v. Let h(q) be the second derivative of -q**3\/3 + 3*q. Calculate h(r(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227644669 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 90.01. Let k = 4.01 - w. Which is the closest to -1.6? (a) -1\/9 (b) -3 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 9 + 14*b - 19*b)*(23 + 1 - 8)*(-3 + 1 + 0)*(35 - 35 + 35*b).\nAnswer: 1120*b**2 - 10080*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55869446 rounded to the nearest 10000?\nAnswer: 55870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 111. Let x = -1\/1219 - 3640\/20723. Which is the closest to 2? (a) 0.3 (b) v (c) x (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7405 + 7404.6. What is the closest to -0.05 in -0.13, -2, n?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359880 is divided by 1359839.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*m + 40, -2*i - 125 = -4*i - 5*m. Suppose -60*w = -58*w - 62. Let d = 31 - w. Solve d = -y - 3*y - 20, 5*j = 5*y + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = -a - 14, -n + 3*a = -9. Solve -2*k + n*k + 7 = -4*p, 4*p = k - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 195*v + 49 - 47 to the form f*v + j and give f.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60411 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8161181 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 110*a**2 - 16*a - 16. What are the prime factors of z(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g*s**3*w**3 - 844*g*s**2*w**3 - s**3*w - 2*s**2 - 3*s*w + 14*w**3 wrt g.\nAnswer: -5*s**3*w**3 - 844*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*t**2\/2 - 182455*t + 477660.\nAnswer: 5*(t - 2514)*(29*t - 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let r(l) = 159*l + 65. Let o(b) = -239*b - 102. Let h(j) = 5*o(j) + 8*r(j). Give i(h(q)).\nAnswer: -11858*q**2 - 3080*q - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -49 - (-12 + 2 - -22)\/(-1). Let a(p) = -p**3 - 36*p**2 + 35*p - 83. Determine a(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7285 - -3?\nAnswer: -7282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**4 - 405*i**3 - 780*i**2 + 220*i.\nAnswer: 5*i*(i - 22)*(i + 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*y**3 + 273894*y - 106170685.\nAnswer: 75*y**2 + 273894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-27) - 0) + 304\/72. Suppose 0 = 2*r + 5*b - 5, 4 = -3*r + 4*b + 46. Sort z, 3, r.\nAnswer: 3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*c = -5070*c - 4192*c + 634326 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 13030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:17 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -44, 19, -2, 0, -14 in descending order.\nAnswer: 19, 4, 0, -2, -14, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 241397 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let m = c + 0. Let y = 69 - 70. What is the second smallest value in m, y, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5068)\/42)\/(2\/(-6))?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.872 - -5.772. What is the nearest to w in -4, 3, 8, -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Let u be (1 - q) + 3*21. Let v = u - 34. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.56782 years?\nAnswer: 0.00156782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 354 - 359. Is (0 - b\/10)\/(2\/17132) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 49*(6\/(3 - 2))\/((-48)\/(-8))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w + 18. Which is the third smallest value? (a) 3\/7 (b) 3 (c) 0 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156532 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13447 rounded to 3 decimal places?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from pssstsssptspssssss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 5. Let r be ((-30)\/(-35))\/(-10*(-3)\/105). Solve i = r*l + 3*a, 5*a + 4 = -4*l + 19 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + 19*c**2 - 33961*c + 369941 = 0.\nAnswer: -199, 11, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327303398 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(19) + -5 - (sqrt(1216) + -3)**2).\nAnswer: -7380 + 282*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 53 - (4 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 44.992. Let h = -5.008 + w. What is the smallest value in 0.4, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323689137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -282, -517, -676, -735, -670, -457, -72?\n\"Answer: 4*v**3 + 14*v**2 - 305*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68172 divided by 1311.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 67 = -17*i, -3*i = -1290*o + 1289*o + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*z - 3537 + 421. Let s(k) = 2*k**2 - 3*k + 6. Let g be 4\/(-10)*(-11 + 1). What is the remainder when z is divided by s(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*4 + sqrt(68))\/(sqrt(28)\/(sqrt(7)*-1)) + (2*sqrt(136)*2)\/(sqrt(8) + -1*sqrt(72)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64388 - -254613. Suppose -2*g = 3*y + 786004, 0 = -5*y + 3*g - 1628995 + q. What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 376. Let h be (-72)\/(-126) + 423\/7. Suppose -h = v - a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (23 + -4 + 1)\/2. Suppose -y - r - 18 = 0. Let m = y + 31. Solve -15 = m*j - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 7. Let q(p) = 32*p - 4. Let x be q(4). Let u(h) = x*h + 123*h - 248*h. Determine k(u(b)).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 4*a + 34, -4*s - 133 + 314 = -a + 156 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -26d24e8?\nAnswer: -26d24eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 9*a + 24. What is m(19)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 3*b)*(-4*b**3 - 35*b + 22*b + 4*b**2 + b**3).\nAnswer: -6*b**4 + 8*b**3 - 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*q - 174, 3*n - 26 - 81 = 5*q. Solve 3*c = -5*l - n, 4*l + 23 = -2*c + c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from ttqqktktttqttqtq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.6447 and 27?\nAnswer: -287.4069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6623993 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -7. Let r = 10 - y. Find the first derivative of -119*p + 119*p - r + 4*p**3 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 - 197. Which is the third biggest value? (a) -3 (b) -1 (c) y (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:06 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -54*2\/6*-1. Let u = -32 - -36. Suppose 7 = 3*t + 3*c + 1, -u*c - 24 = -4*t. Calculate the greatest common divisor of k and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 5*d**2 - 2*d**2)*(-d - 3*d + 3*d) + 32 + d**3 - 32.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**3 + u - 2. Give g(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*z + 29*z**2 + 80*z + 121*z + 176*z - 523*z**2 wrt z?\nAnswer: -988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11230 + -11222. Solve 10*v = r*v + 2*u + 14, 5*v - 19 = -3*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/5, -5, -2, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26280 and 59034735?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55 + 57*w**2 + 15*w**2 - 305*w**4 + 55 wrt w.\nAnswer: -7320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = 2*r, -16 = -5*r - 2*o + o. Suppose 4*g - 5*g - r*f + 14 = 0, -g - 13 = -5*f. Solve 0 = 3*k + b - 6, k - 5*b + 0*b = g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 15631, -4 in decreasing order.\nAnswer: 15631, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1023 - -1191. What is the greatest common divisor of 378 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*h = -31002, -76*k - 3*h + 12397 = -74*k. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 + 2*d**2 - 1. Let s be b(1). Let y = s - 2. Let r be (-2)\/10 + (-42)\/15. Put y, -5, r in descending order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060597 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 36\/149813?\nAnswer: 36\/149813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3982*t**2*z**3 - t**2*z**2 + 2*t**2*z + 29*z**2 wrt z?\nAnswer: 23892*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 530*h + 14045.\nAnswer: 5*(h + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**3 + 4*a**2 - 5*a + 1. Is p(4) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14657 - -43970\/3. Put -0.1, 1\/4, -2, -2\/9, t in increasing order.\nAnswer: -2, t, -2\/9, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olnzrhl. Give prob of sequence oll.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 + 11*c + 15. Let r(q) = 4*q**2 - 11*q - 16. Let b(h) = -4*r(h) - 5*u(h). Give b(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:22 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 252363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 561 - -2230. List the prime factors of a.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.63924226 rounded to 2 dps?\nAnswer: -6.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/2)\/(((-1431)\/54)\/53)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100.76 + 100.86. Let l be 7\/39 + (-6)\/(-39). Let b = 0.1 - 0.2. What is the closest to l in 0, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-300)\/(-24) + -15 + 202\/4. Solve -14*m - n - 50 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 0.4 (c) -4\/9 (d) 1\/24 (e) 0.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/28 + -6\/7. What is the nearest to -2 in 2\/17, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h - 1 + h**3 + 4 + 6*h**2 + 10*h. Suppose -5*c - 7 = 2*s - 6*c, -2*s - 16 = -4*c. Let d be (-1734)\/306 + s\/9*-3. Calculate x(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -5*t, -5 = -t - 2. Suppose 4*b - 18 + f = 0. Let u(v) = 2*v**3 - 2*v**2 - v. Is u(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786205803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-48)\/10*80\/(-24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/73, 0.16, 5\/3 in decreasing order.\nAnswer: 5\/3, 0.16, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + -3 + (sqrt(17) - (sqrt(68)\/sqrt(4))**2)) + 0.\nAnswer: -3*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1)\/sqrt(8) - sqrt(19) - sqrt(2299)*-1.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157088 is divided by 157063.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 386 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*l + 4*h, 2*h - 6*h = 3*l + 18. Let q(d) = -d**2 + d + 2. Give q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 8*n - 2. Let q be f(3). Solve -q*s + 7 = -j - 2*j, -s + 4*j + 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2. Let g(v) = v**2 - 51*v. What is g(k(y))?\nAnswer: y**4 + 51*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1*b**(-6\/5))**(-44)*(b*(b*b**(1\/3))\/b)**(1\/36)*((b**0*b)\/b)**(-29) assuming b is positive.\nAnswer: b**(-4747\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = b - 21, 2*t - 47 = b. Calculate the highest common divisor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l + 194*l - 102*l - 57 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-325))\/((-4)\/600*4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -7\/6 (b) -11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200508667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-7189)\/18135 + 2\/5). Let r = i - 829\/2232. Which is greater: 11 or r?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:30 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 125320.17 months?\nAnswer: 104.433475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 33*z**2 - 3. List the prime factors of p(2).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*r + 2553, -4*k + 0*r = -2*r - 3390. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4*w - 11. Is z(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-663) + 244\/153 + -2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffw when three letters picked without replacement from cmcmmcfcwwxwmwfw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k, -x = 2*k + 4 - 5. Let o be 3*(-20)\/(-4)*x. Let w = -13 + o. Solve f = -3*s + 3*f - 4, 0 = -2*f - w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/622409 and -27.\nAnswer: 622409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 561 = 4*r. Let l be r\/(-56) - 6\/2. Which is the second smallest value? (a) 2\/7 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2351, 2355, 2333, 2273, 2163, 1991, 1745, 1413?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 3644402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434353086.\nAnswer: 2, 3, 197, 347, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/((x**(-2)*x)\/x))*x)\/x)\/((x\/x**9)\/x))\/(x\/x**(1\/2))**(1\/38) assuming x is positive.\nAnswer: x**(455\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*o + 15, -12*u + o + 3 = -14*u. Solve -5*b - 4*a + u*a = 30, 0 = -a - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008*u**2 + 127*u + 125*u - 252*u.\nAnswer: -1008*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -111.7 * -1\nAnswer: 111.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 - 3*g**2)*(39*g - 72*g + 34*g - 64).\nAnswer: -2*g**3 + 128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 42, 54, 70, 90, 114, 142?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:14 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) 0.4 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1154*b = -1134*b - 236140. List the prime factors of b.\nAnswer: 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -175, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790928.\nAnswer: 2, 49433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*i*j**3 - i*j**2 + 5*i*j*m + j**2*m - j*m - 18*j - 2 wrt j?\nAnswer: -102*i*j - 2*i + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.6 + 59.6. Let h = 50 - f. Suppose -2*l + 4*l - 4 = 0. What is the third smallest value in 0.4, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 344. Is g greater than or equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 1, 4, -1, 1469 in increasing order.\nAnswer: -1, 1, 4, 71, 1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4734, -8177, -11618, -15057, -18494, -21929?\nAnswer: -25362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*k + 1, -5*k = -3*k - 5*o - 9. Let r = 10 - 11. Let y = 5 + -4.9. Which is the closest to r? (a) -2 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**4 + 10*i**4 - 13*i**4 - 5*i**3 - 97*i**2 - 113*i**2.\nAnswer: 5*i**2*(i - 7)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1398 - -1400. Solve 0 = b*u - 98 + 90 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 12*a + 2. Let k(y) = -y - 1. Let n(m) = -h(m) - 5*k(m). What is the derivative of n(x) wrt x?\nAnswer: -2*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 24*j**2 - 21. Let h(y) = -y**2 - 6*y - 6. Let a be h(-4). Let z(o) = -o**2 + 1. Determine a*x(n) + 42*z(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g + 21*g + 15*g + 35*g**2.\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-15) - 63531\/(-45). Let k be (-83)\/1245 + y\/15. Solve 2 = k*t - 92*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*y = -2*j - 15, -5*j - 5*y = -90. What is the remainder when 59 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*h = 3*p + 27, 4*h + 108 = 5*p - 7*p for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -8) + (-7 - -1) + 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/245 + 588672\/(-7840).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/84*(8\/42)\/(64\/896).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = j. Suppose -3*b - 4*q + 27 = 0, -3*b + q = j*q - 24. Suppose b*x = x + 16. Solve -13 = x*r + 3*l, l - 8 = r - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.81651 minutes to seconds.\nAnswer: 1668.9906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7524760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 423\/33 + -3 - (-8)\/44\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 21. Let v = n + -24. Let s be (4\/(-10))\/((-20)\/v). Which is the third smallest value? (a) -1\/6 (b) 2\/7 (c) s (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let t(w) be the first derivative of 10*w**3\/3 - 1. Is t(l) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 9}. What is prob of picking 2 u?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 517143 and 4257?\nAnswer: 66711447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/24 and -35\/159.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*p + 34 = -529*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3886 - 69?\nAnswer: 3817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*o*w**3 - o*w - 101*w**3 + 3506*w wrt w?\nAnswer: 90*o*w - 606*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m + 239 + 34*m**4 + 3*m**2 + 50*m**4 + 221 wrt m.\nAnswer: 1008*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9 - 5 - 1 + 2 + 13*k. Let f(q) be the first derivative of -3*q**2 + 6*q - 1. Give -9*f(p) - 4*j(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h - 38. Let t(d) = -7*d - 18. Calculate 6*n(a) - 13*t(a).\nAnswer: 13*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1479719 or -1479922?\nAnswer: -1479719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -712, -1015, -1272, -1477?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 43*n. Let v(x) = 3525*x. Give 495*d(m) - 6*v(m).\nAnswer: 135*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2. Let a(h) = h + 1. Let x(p) = 3*p**2 + 18*p + 4. Let n(z) = -4*a(z) + x(z). Determine s(n(b)).\nAnswer: 27*b**4 + 252*b**3 + 588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*f - 667*f + 446*f.\nAnswer: 99*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**5 + 528*u**4 - 46990*u**3 + 1454292*u**2 - 4041822*u + 2634060. Let y(x) = -x**3 + 4*x + 8. Let f(q) = i(q) - 6*y(q). Let f(s) = 0. What is s?\nAnswer: 1, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 839 + -839.3. Which is the second biggest value? (a) -5\/13 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -468\/25289 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 643 - 647.09. Let r = h - -4.452. Round r to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0, 1172 in increasing order.\nAnswer: -5, 0, 1, 1172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(14\/13440*1912 + -2). Solve p*k - 4 = 179*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 43 - 45 + 6*v**3 + 0*v**3 - 9*v**4 + 5*v**2 - 10*v**4 as n*v**3 + g + r*v**2 + q*v**4 + t*v and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608 a factor of 70873943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0221 minus 385085?\nAnswer: -385078.9779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 + 3*t**4\/8 - 4*t**3\/3 + 4*t**2. List the prime factors of k(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37887 + 38988. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10299045 and 12255.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 2\/5, 2\/7 in ascending order.\nAnswer: -0.07, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 255996930 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: Suppose -4*d + 3*y - 3 = 0, -d + 0*y - 4 = -4*y. Which is the closest to d? (a) 0.2 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2 - 3*d + 4. Let f be r(2). Let v = 79 - f. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 159733096 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = 31 + 36 - 67 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*l**2 - 23*l**2 - 3*l**3 - 29*l + 29*l wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4 and (-19)\/((-1)\/((-1)\/(-9))).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12222 - 2?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5 + 119*b**4 + 1280*b**3 + 1541*b**2 - 9742*b - 10120 = 0.\nAnswer: -46, -11, -4, -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 57*o + 342. Let n be h(-6). Solve n = 43*s - 34*s + 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/9 + 14\/45. Which is the closest to -3? (a) 5 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:25 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o + 20 = -4*d, 3*o + 12 = -3*d. Is d less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 9. Let u(l) = -2*l - 3. Let z be 2 + -3 + -3 - -1. Let h be u(z). Suppose 0 = 3*o - 0*o + 4*m + 8, h*m = -4*o - 6. Calculate x(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 7*u - 5*u = 6, q = -4*u + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5991, 5976, 5951, 5916, 5871, 5816?\n\"Answer: -5*i**2 + 5996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/(((-54)\/(-20))\/9). Which is the third smallest value? (a) 2 (b) l (c) -2\/9 (d) 9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -50, -81, -112, -143?\n\"Answer: -31*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.4, 5\/4, -5, 9?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**3\/3 + 50. Let k(i) = 12*i. Determine k(d(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let l(w) = w - 280. Let s(i) = a(i) - l(i). Let t be s(0). What is the common denominator of 113\/20 and 1354\/t - 2\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-6)\/(-648)). Suppose 4*c - 7*c = -v. Let t = 32 - c. Calculate the greatest common divisor of 154 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -32771749*t - 687274. Let i(a) = -7010*a - 147. Determine 14026*i(z) - 3*k(z).\nAnswer: -7013*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - 2*h + 6. What is p(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 96. Let h be n(-13). Suppose -13*r - 21 = -h*r + w, 7 = 2*r + w. Solve -2*o + 1 = -2*s - 1, r*o = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 - 1 = 0. Suppose 2*q - 42 = 4*s, -j*s + 27 = 3*q + 8. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 41373.8\nAnswer: 3723.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25481273 to the power of 1\/2, to the nearest integer?\nAnswer: 5048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53847342\/457 - -117828. Let l = -48359\/4570 - w. Let k = -239\/2 + 1025\/8. What is the common denominator of l and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92647638, -185295283, -277942928, -370590573, -463238218?\n\"Answer: -92647645*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -164.6604 times -1\nAnswer: 164.6604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 12:54 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 879*b + 220725. Determine y(204).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-35))\/(20\/750))\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 53 = -c, -31*c - p = -36*c + 187. Let n be (-5 + -2)*12\/7. What is the remainder when 3*((-596)\/n)\/1 is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1)*2\/(-20) + 17425\/48875?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.08 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5677693432 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqfi. What is prob of sequence fqi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + q + 13, 8*m - 57 = 11*m + 9*q. Calculate the remainder when 2163 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(99))\/sqrt(2304).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 1, k: 2, a: 10}. Give prob of picking 2 k and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20851 - 18194. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 172 and 0.3?\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 15 - 15) + 93 + (-11 - -21)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -51*f**2 - 17. Let l(a) = 17*a**2 + 6. Let o = 8757 + -8751. Determine o*h(q) + 17*l(q).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*v + 5, 4*d + 3*v - 1 = 13. Let g(b) = -1. Let a(l) = 10*l + 5. What is d*g(c) + a(c)?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749984 and 1472?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13771803500 rounded to the nearest one million?\nAnswer: 13772000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1485, 5957, 13411, 23847, 37265?\nAnswer: 53665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -2)\/((-15)\/25) - -9. Suppose -3*k + 6*k = -2*c + 131, 0 = 3*k - y*c - 107. Which is bigger: 42 or k?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0, 60 in decreasing order.\nAnswer: 60, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*4\/60 + 437\/(-5). Let p = q + 88. Calculate the greatest common factor of p and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + (1*sqrt(68)*-2)**2 - sqrt(68) - ((1 + sqrt(17) + -2 - sqrt(17))**2 + (-3*(sqrt(17) + -1) - sqrt(17))).\nAnswer: 4*sqrt(17) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805149279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 240294, 240261, 240228?\n\"Answer: -33*y + 240327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/210 and 163\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8937274*z**2 - 16*z - 142850?\nAnswer: 17874548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -34628216 at most -34628216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 11*b**4\/8 + 35*b**3\/3 - 190*b**2. Let t be y(-2). Solve u = t*h - 15, 3*h + 2*u = 7*u - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-17)*r*r\/((r\/r**16)\/r*r)*r assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.83330349 from -0.23892.\nAnswer: 1.59438349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23660 by 676.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.298918 months to decades.\nAnswer: 0.16915765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 701 + -694. Let p(k) be the first derivative of 3\/2*k**2 + a + 0*k. Give p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*x = 137, -3*x = 4*l + x - 284. What is the remainder when l is divided by (-3)\/15 + (-182)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2 of a decade in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4509*h - 4513*h - 2*p - 2 = 0, -35 = 5*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**6\/540 - w**5\/90 + w**4\/12 - 8*w**3\/3 + 24*w. Let g(o) be the second derivative of u(o). Factor g(x).\nAnswer: -2*(x - 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {d: 1, l: 1, q: 2, x: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -47. Calculate the remainder when k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70851, -141718, -212585, -283452, -354319, -425186?\nAnswer: -496053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 883 - 883 - 757*j**2 in the form b*j**2 + h + q*j and give b.\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1230311 (base 6) to base 15\nAnswer: 14941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12097*l - 56545*l - 24120*l - 20890*l + 9621*l + (-2 + 0 + 1)*(5*l - 2*l - l).\nAnswer: -79839*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.01 + -0.01. Let v be (15\/(-3))\/(1\/1). Let x = 6 + v. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4128, -0.5, 0.1, -0.1, -5 in decreasing order.\nAnswer: 4128, 0.1, -0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 35. Calculate x(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:31 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 118 = 3*c, 14*c + 158 = -3*j + 9*c. Let s be 4 + 609\/j + 8. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(8\/90))\/((-21)\/28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Let d = 471 + -468. Let n be -3 + (d + 0 - (2 - 5)). Solve p - 12 = n*g, -g + o*p - 8 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {g: 2, z: 1, t: 1, x: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 528294829896685 and -5?\nAnswer: 528294829896690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-992)\/(-128) + (-3)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10 and (-20)\/264 + (-3)\/9.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 5. Let i(p) = 7*p + 24*p - 20*p - 9. Determine -3*i(u) + 5*m(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = p - 0*p, -p + 4*u - 9 = 0. Let q = 6 + p. Suppose -4*j = 6*j. Solve q*i + 20 - 5 = j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -17 - 5*m + 15*m + 12*m**2 - 5*m. Let o = -65 + 68. What is the units digit of t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 197*n*z**2 + n + 57 wrt z?\nAnswer: 394*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-108056)\/28 - -2)\/(1\/(-10500)). Round x to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146066586 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3 in ascending order.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14)**2 assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 963374 and 4243258.\nAnswer: 7354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose -z*h + 3 + 2 = 0. Let p(r) = 2*r - 13. Let v be p(8). Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.3, 4\/5, -1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t + 13. Let u be y(11). Is (-6)\/(1 - 81\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54939533?\nAnswer: 11, 31, 367, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 6*y**4 - 4*y**4 + 3*y**3 + (2*y**2 - 5*y**2 + 4*y**2)*(y**2 - 4*y**2 + 4*y**2).\nAnswer: -y**4 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 5*p + 28. Let s(z) = 54*z - 58. Is s(p) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26408?\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by -10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/12)\/(3\/18). Suppose -39 = m*g - 5*g. Solve -4*z = -g - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 8. Let y = -10 + 5. Let s be j(y). Find the second derivative of -4*p**s + p**2 - 3*p + 2*p wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 34*x - 8. Let m be r(1). Let b(t) = 4*t - 7. Let w be b(6). Let f = m - w. Solve 4*q = -2*a + 18, 0 = -5*q + 4*q + 4*a + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 k when three letters picked without replacement from kpkkkkkkkkkkkkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2955, 10334, 22139, 38376, 59051, 84170, 113739, 147764?\nAnswer: 186251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 311042, 621967, 932892, 1243817, 1554742, 1865667?\n\"Answer: 310925*j + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20 = -b, -3*d - 6 = -4*b + 29. Solve m = b*h - 3*m + 5, -h = 2*m - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 9. Let i = 194.098 + -194.898. Sort o, i, -5 in descending order.\nAnswer: i, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:47 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 461 + -117. Let r be (12\/(-7))\/(6 + 696\/(-112)). What is the highest common divisor of r and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2268 = -3*s - 4*s. Suppose s = -n + 861. List the prime factors of n.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -59) + -103 + 29.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83150 = -15*k - 37615. Let l = 12644 + k. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3 + 1\/3*k**4 - 1\/3*k**3 - 2*k**2 + 4\/3*k = 0. Calculate k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db - -de2a4?\nAnswer: de1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8516856 + 4245856. What is u rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-5 + (sqrt(162) - (sqrt(162) - sqrt(162)*-2)) + sqrt(162)) - (1*-2*sqrt(162) + -5)) + -2)**2.\nAnswer: 4752*sqrt(2) + 11457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*k - 25290 + 12426 = 0 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - d + 77 = 0, -4*k - 5*d = -0*k + 71. What is the units digit of ((-48)\/4)\/(9\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/9357838 and 17\/15373591.\nAnswer: 215230274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - -5. Let c = v - 7. Calculate the least common multiple of 1 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -18379144.\nAnswer: -18379135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 907.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20369487 divided by 43.\nAnswer: -473709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602996049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/7 - 192*k.\nAnswer: 4*k*(k - 336)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20 - 32. Let p = u + 16. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:21 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Let l = -49822 + 3188605\/64. Is l bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.6+0.234\nAnswer: -3.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 281 - 572 - 9*n + 297 + 3*n. Calculate v(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r - 14. Let n(z) = -z + 1. Let t(p) = 5*n(p) + w(p). Factor t(c).\nAnswer: -(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22830575207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.24 (b) 2\/9 (c) 29 (d) -3 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26258679\/7 bigger than -3751241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30916469293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 2. Let c be t(-2). Let i(s) be the first derivative of -s**2\/2 + 19*s + 26. Let a be i(c). What is the greatest common divisor of a and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 599*h - 2092 = 600*h, 5*i - 5*h = 3470. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkd when three letters picked without replacement from {z: 5, t: 6, k: 1, g: 5, d: 2}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3435\/6*(-3)\/45. Let v = q + 38. Let s be (-33)\/(-110)*5\/6. What is the second smallest value in -0.4, 0, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzzlzuzm. What is prob of sequence ul?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(1539\/(-18)))\/((52\/24)\/(-13))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-29632)\/(-926))\/(56\/77)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = 8*s - 42. Solve 2*z - 2*d = -s, -4*d + 4 = -z - 6*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/44 + (-270)\/(-33). Suppose -2 - p = -5*o. Does 19 divide 742\/10 - o\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*p - 103*p - 3*c - 38682 = 0, -5*p = -2*c - 64485. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 179020 (b) 3\/4 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -19\/8, -19\/2 in descending order.\nAnswer: -2\/13, -19\/8, -19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 + 222858711*w**4 - 222858708*w**3.\nAnswer: -3*w**3*(w - 74286236)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*x - 415*x + 17328 = 0. Let f = -2531 - x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 44 = -3*r, -44*r = -39*r - 8*m + 44 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377.873 - 240.13.\nAnswer: -618.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/8, -0.2657, -0.1, -5 in ascending order.\nAnswer: -5, -0.2657, -2\/9, -0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = g, 0 = 5*y - g + 14 + 8. Let w(r) = -r**2 + 2*r + 2. Let q be w(2). Sort y, q, 1.\nAnswer: y, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45439*t**4 + 6*t**3 + 565*t**2 - 162.\nAnswer: -1090536*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 1560 = -14*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. Let j = 5.5 + -1.5. Put 0.1, j, f in ascending order.\nAnswer: 0.1, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 - 186. Calculate the highest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 5 = 11*d. Suppose -b + 5*v + 101 = 0, 2*v = 4*b + d*v - 289. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 135 + 190 = 0. Let f(b) = 5*b + 16. Let y(s) = 7*s + 11. Let g(p) = 4*p + 6. Let i(v) = 5*g(v) - 3*y(v). Give n*i(z) + 2*f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*16\/(-126)*438\/(-584)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 40*s**2 + 110*s - 202. Calculate the remainder when z(40) is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452912, 452936, 452976, 453032?\nAnswer: 453104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -13.\nAnswer: -13, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21095 divided by 32243?\nAnswer: -21095\/32243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.03 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8014 + -8013.997823. Round z to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 75, -4, 0.1, 0.3 in decreasing order.\nAnswer: 75, 0.3, 0.1, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 x when three letters picked without replacement from {t: 2, k: 1, f: 3, x: 2, i: 8, g: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 2*o**2 - 2*o + 4. Let l(h) = -6*h - h**2 + 4*h + 1 + h. Suppose -3 + 5 = b. Let g(q) = b*l(q) - k(q). What is the derivative of g(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 + 2 = 0. Let f be (k\/(-2))\/(6\/(-2325)). What is f rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -22. Suppose 30 = -2*p - h*j, 0 = -p + 2*j - 0*j + 3. What is the remainder when 1*36 + 5 + p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:06 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -292*b - 156. Determine h(2).\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 79, -4, 13, -80 in ascending order.\nAnswer: -80, -4, -1, 8, 13, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:08 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a**5\/2 + 445*a**4 - 624*a**3 - 307*a**2 + 1207*a\/2 - 138 = 0 for a.\nAnswer: -23, -1, 12\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 19*h + 20 + 2 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 3294920*x - 3*x**2 - 3295059*x + 3*x**2.\nAnswer: x**3 - 139*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 793 + 16. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 18 + 99. Solve 0 = -5*p - 3 + a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-41 - -1 - (-30 + 26)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 <= -113690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - 6 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -276189218 and -27.\nAnswer: -276189245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s - 14. Suppose s*b + 2*b - 12 = 0. Let v(w) = -b + 3*w + 3*w - 4*w - 2. What is v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + 3. What is the closest to -2 in 2\/7, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/19 (b) -5 (c) 5 (d) 1\/4 (e) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -0*w. Let p be (5 + -6)\/(w\/(-2)). What is the tens digit of (14 - -5)*p\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z + 28. Let c = 14 + -9. Suppose -299 = -c*x - 34. Calculate the remainder when x is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 22*p**2 - p - 7. Is 37 a factor of n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/135 and 19\/5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:16 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -609840 divided by -45\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 8 = 36. Suppose -h*i = -8*i + 8. Let -3\/5 - 3\/5*o**3 - 9\/5*o**i - 9\/5*o = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12924, 0, -61, 7, -5 in ascending order.\nAnswer: -61, -5, 0, 7, 12924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.29 in 19889, 0.06, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000142018203 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -0.2.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.36 + 0.36. Let b = a + 21. Let x = -11 - b. Sort 12, 2\/11, x in ascending order.\nAnswer: x, 2\/11, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**4 - 23*o**3 + 1272*o**2 - 7. Let x(p) = 4*p**4 + 21*p**3 - 1271*p**2 + 6. Let z(c) = 6*j(c) + 7*x(c). Find the third derivative of z(l) wrt l.\nAnswer: -336*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-227)\/(-1))\/(43\/43). Let d(v) = -6*v**2 - 227 + h + 5*v**3. Let j(o) = 4*o**3 - 5*o**2. Let t = -2 - -8. Calculate t*j(x) - 5*d(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-13))\/(710\/(-284) - -4*1)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.7 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -235*k - 19541. What is o(-83)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7 = -3*z + 1, -5*w = -3*z + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 = -152*l - 405 + 1326 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2 - 751004*s - 38306406 = 0?\nAnswer: -51, 375553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 306? (a) 16\/5 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 459*q - 2. Let y(g) = -231*g + 1. Determine -3*a(d) - 5*y(d).\nAnswer: -222*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 373744 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 232, 230, 228, 226?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -112*u**2 + 8*u + 5. Let x(h) = h. Calculate x(t(k)).\nAnswer: -112*k**2 + 8*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 27 = -939. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 31. Solve 5*c - 4*w = 2 - j, -3*w = 3*c - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*h - 176, 21*h = -4*k + 26*h - 164. Let d be k\/138 + 1\/(9\/1308). Calculate the highest common divisor of d and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.7, -1\/10, 3, 2.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j + 6*o = 25*j + 9, 0 = -3*j + 3*o - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 18*v**2 + 116*v - 137. Give l(23).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -77 (b) -4 (c) 9 (d) 3\/1613\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11457*x - 292*x**3 - 5733*x + 146*x**2 - 142*x**2 - 5730*x - 724*x**2 wrt x.\nAnswer: -1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 158 (c) 4\/3 (d) -1\/8 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 9. Suppose 35*s + 577 = 4112. Suppose 16*m - 27 - s = 0. Determine f(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v - 12. Let x = v + 32. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/19)*m**(-2)\/m)\/(((m**(-2\/9)*m)\/m)\/m*m*m**(2\/13))*(((m\/(m**(4\/3)*m*m)*m)\/m*m*m)\/m**(-6))\/(m**(-3\/2)*m**(3\/4)\/m) assuming m is positive.\nAnswer: m**(40817\/8892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2433 = 3*w, 84*p - 810 = -w + 86*p. Calculate the lowest common multiple of w and 510.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - -80. Let a be 2\/(-4) - l\/10. Suppose -3 = -a*z + 6. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + j + 35 = 0, -3*j = -2*v + 21. Suppose -4*r + 3*w + 108 = 0, 0 = -4*r + 2*w + 71 + 41. Does 5 divide (8\/v)\/(4\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1517, 1503, 1479, 1445?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -y + 1026, 4*y = -0*f - 5*f + 4090. What are the prime factors of y?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 15. Let p = 25.69 + -26.19. Which is the third smallest value? (a) -4 (b) z (c) -0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*p + 21 = -202*p. Which is the third biggest value? (a) 0.8 (b) 0.2 (c) 2\/13 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 9:42 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43056 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iei when three letters picked without replacement from {i: 8, e: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let z = -0.965822 - 0.034178. Sort -4, t, z, 31 in decreasing order.\nAnswer: 31, t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/24 + 2*u**3 + 5*u**2. Let r be d(7). Solve z = -2 + r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6185, -6187, -6189, -6191, -6193?\n\"Answer: -2*t - 6183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 101 = 115. Let n(h) = -24*h**2 - 2*h + 2. Let i(v) = -120*v**2 - 11*v + 10. Give g*i(r) - 11*n(r).\nAnswer: 24*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/14*(-16)\/(-10). Suppose 3*h + m = -4*q - 36, 0 = 5*h. Let r = -7 - q. Solve -5*z = r*v, -5*v - z + 0 = -22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/((-9)\/12*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(539))*-6)**2.\nAnswer: 504*sqrt(11) + 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184954126 plus 13?\nAnswer: 184954139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 11431624?\nAnswer: 11431621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*p - 11590 + 24388 - 11390 - 156*p with respect to p.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21287*-7.\nAnswer: 149009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4506973 + -1533280. Let v = p + -2973707.39879. Let h = 14.4 + v. Round h to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 217.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*n + 147, 0*n + 4*n + 191 = -3*i. Calculate the remainder when 351\/(-54)*(n - (3 - 1)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -35*x**2 + 2026*x + 332. Calculate c(58).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3.54. Let j = -0.5 - w. Let t = -9.1 + 9. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1649 + 0.0351. Let x = -74 + 145\/2. What is the closest to -0.1 in x, k, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52285203 divided by -27?\nAnswer: 1936489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llxi. Give prob of sequence lli.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1178 + 1176. Which is the fourth smallest value? (a) 0.3 (b) 5 (c) -4 (d) 34 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3086233, -6172468, -9258703, -12344938, -15431173, -18517408?\nAnswer: -21603643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**8\/2520 + o**7\/1260 - o**6\/540 - o**5\/180 + 2*o**3\/3 - 2. Let k(m) be the third derivative of c(m). Factor k(h).\nAnswer: 2*h*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 >= 2991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -23. Let c be ((-70)\/h)\/(3*2\/(-1377)). Suppose 14*t - 7*t = c. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let o be (2\/(-3))\/1*3. Let i = -4 - o. Calculate the remainder when 7 is divided by l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 37562?\nAnswer: -3758b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-2) - 18\/12. Let d = l + 11. Is d + 158 + (8 - 9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 34 = -2*h - 3*h, -3 = 3*r. Suppose -h*c - 141 = -9*c. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3030376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12973905 and 420.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 97, 145, 193?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139445480 and 229520?\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5480, 1, -1, 0 in ascending order.\nAnswer: -4, -1, 0, 1, 2, 5480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 0 + 3 - 1*(1 + sqrt(605)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*h = 2*n + 164*h - 14882, 22341 = 3*n + 3*h. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l - 0*l. Suppose 4*a = -5*o + 26, -l*o + 0*a - 5*a = -30. Let j = o - -8. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/80 + y**4\/8 + y**3\/2 + 30*y**2 + 2. What is f in i(f) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.344 + 0.044. Let z(h) = -h**2 + 1. Let k be z(2). Which is the nearest to q? (a) -11 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -40. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1461 + -1457. Suppose 0*p + 3*u - 16 = -5*p, -5*p + 5*u + 40 = 0. Solve v*i + p = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*10\/25*(-2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8739 + 4244 = -94*i + 418 - 783 for i.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v**2 + 69*v + 49. Let u(x) = 3*x**2 + 23*x + 16. Let o(l) = 2*i(l) - 7*u(l). Determine o(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -138. Solve 5*w = 5*m + 20, 5*w - 13 = -j*m - 0*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2230121302 (base 4) to base 8.\nAnswer: -2543162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1946, 3828, 5712, 7598?\nAnswer: 9486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 3*r + 2. Let v be c(-5). Let u(l) = l**2 + 12*l + 2. Let q be u(-8). Let j = q - v. Solve 4*w = -2*a - 26, -2*w - 3*a - 4 = -j*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (21 + -14)) + (-2 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19056684*v**4 + v**3 - 21411324?\nAnswer: -76226736*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 5*b**2 + 6*b + 5. Suppose 0 = 5*m - 15, 2*g + m - 15 = -0*m. Let y be s(g). Let o be -1*(0 + -2) + (47 - 49). Solve o*c - y = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*v - 5. Determine j, given that -3*j**4 - j + 3 - 5*j**3 + 11*j**v - 4*j - j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -k - 80, 3*k = f - 2*k - 31. Calculate the greatest common factor of f and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -20*s + 5*x, x - 14 = -5*s - 77 - 15 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:26 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/360 + b**5\/40 - b**4\/24 - 2*b**3\/3 + 16*b**2. Let n(h) be the first derivative of o(h). Give n(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439130623 to the power of 1\/2, to the nearest integer?\nAnswer: 20955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -u + 107, 5*u - 2*k - 211 - 301 = 0. Suppose -4*h - 510 = -2*n + h, 3*n - 3*h - 765 = 0. What is the highest common divisor of n and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 0*o**2 + 0*o**2 + (-3*o + o + o)*(233 - 233 - 5*o) as u*o**2 + q + t*o and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cajcjaaciicjjycaaji. What is prob of sequence jyij?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 3. Let r be (8 - -13) + 8\/(-2). Let f be 22\/4 + (-4)\/(-8). Let m(g) = 14*g - 8. Let t(k) = f*m(k) + r*i(k). Determine t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21066.\nAnswer: 2, 3, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4687000*1\nAnswer: 4687000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o - 1 = 0. What is the nearest to o in 0.05, 0.5, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -63, -1, 2\/5, 62, 0.3 in increasing order.\nAnswer: -63, -6, -1, 0.3, 2\/5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 49*c + 28. Let n be g(-24). Solve 2*b = -2*u + 12, u = n*u - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -0.4. Let d = -0.09 - 2.01. Let i = d - -2. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-15)\/1)\/((-5)\/18).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -48*z - 422. Let o be m(-4). What is the smallest value in 2\/13, 2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15503 is divided by 736.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 835962636 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266293*a**3 - 539241*a**2.\nAnswer: -1597758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/4)\/(16\/(-58016))?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 4 (c) -0.9 (d) -2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 12, p + 154 = 4*s + 165 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**3 - 15*m**3 + 9*m**3)*((-2 + 2 + 2*m)*(4 - 4 - 1) + 0 - 2 - 3 - m).\nAnswer: -12*m**4 - 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -129, -224, -343, -492, -677, -904, -1179?\n\"Answer: -z**3 - 3*z**2 - 61*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15a (base 16) to base 6\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - o**2 - 13*o + 25. Let p = -404 - -410. Calculate the remainder when q(p) is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/55)\/(2\/(-11)). Let t = -61 + 60.7. Which is the third biggest value? (a) k (b) -0.06 (c) -4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1489 = 3*t, -4*k + 2*k + t = -747. Let j(g) = 5 + k*g - 374*g - 6. Give j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:51 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/3 - w**2\/3 - 5*w\/3 - 1 = 0. Calculate w.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 937*a**4 - 13*a**2 - 13*a?\nAnswer: 22488*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1865*x + 1865*x - 5 + 514*x**2 + 0.\nAnswer: 514*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 83*o - 133. What is the remainder when y(80) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.72 and 0.5.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -186036\/1187?\nAnswer: -186036\/1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**3 + a**2 + a - 4. Let q = 16 - 12. Let k(v) = 11*v**3 + 2*v**2 + 2*v - 9. Calculate q*k(t) - 9*m(t).\nAnswer: -t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.88 + -19.98. Put -0.4, -4, -2, x in ascending order.\nAnswer: -4, -2, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 113152780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 0. Let h = 14.99948 - q. Round h to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 674*z - 670*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117\/7 - 1025\/63. Let q = 18050.3 + -18050.1. Which is the closest to -6? (a) -3\/2 (b) q (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 1 + sqrt(1377))*1 + sqrt(1377) + 3 + sqrt(1377)*1 + -4 + (2*2*sqrt(153))\/((sqrt(9) - (sqrt(81)*3 + sqrt(9))) + sqrt(9)))**2.\nAnswer: 85697\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66392 (b) 3\/326 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24640 is divided by 6152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-36)*108\/45. Let z = -1.9 + 2. Which is the second smallest value? (a) o (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/7, -0.4 in decreasing order.\nAnswer: 2\/7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(10\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - 1 - (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 - i**3 + 5*i**3 + (4*i - 3*i - 2*i)*(-2*i + i + 3*i)*(-2*i + 0*i + 0*i) as c*i + p + r*i**3 + x*i**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 4. Let k(z) = -2*z + 7. Calculate 3*k(t) - 5*q(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 6*m = -m - 20, -4*m = -2*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-3 - -6) - -3. Suppose -3*s - 4 = k*g, 0*g - 3*s - 6 = 3*g. Is 2\/25 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let v = n - 5. Let l = 29117.02 - 29117. Sort -4\/7, l, v in decreasing order.\nAnswer: l, -4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 > 4814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*6\/(-14))\/(2\/((-24)\/63)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20211000202110011 - 12?\nAnswer: -20211000202110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. Calculate the highest common factor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -3\/8 (b) 15 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -2066852?\nAnswer: -2066857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1594.8 + -1396. Let k = o - 199. Sort k, -5, 5\/6 in decreasing order.\nAnswer: 5\/6, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -727 + 725. Let g = -0.104 + 0.084. Which is the third smallest value? (a) g (b) 0 (c) -6\/7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 506 + -237. Suppose 4*k + 0*w - 2*w - 3512 = 0, -5*k + 2*w = -4391. Suppose 0 = 5*t - k + a. What are the prime factors of t?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 183, -3\/5, 4, -1, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86.2 + -85.2. Let z = -882\/17 - -52. Which is the nearest to z? (a) 2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o + 162 + 30. Let n = o + 22. Suppose 675 = -y + n*y. What is the highest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m + 1260 - 850 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2615?\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**5 - 74*d**2 + 74*d**2 + 3*d wrt d.\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 4*t + 4*t)*((4*t + 0*t - 6*t)*(t - t + t) + (t**2 - 5*t**2 + 0*t**2)*(9 - 1 + 24)) + 2*t**3 + 2*t + t**3 + 0*t**3.\nAnswer: 133*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19913 - 19914. Sort 45, 0, y, 11.\nAnswer: y, 0, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 4. Let g be t(-3). Let a be (0\/g)\/(9 + -6). Suppose -3*j + 15 + 0 = a. Solve -d + 3*w + 25 = -w, j = -3*d - 4*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8243, -0.2, 76, -1\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 200 = 4*b. Let r = b - 8. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 472\/(-472)*26\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/8 of a hour?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1713081 divided by -3\nAnswer: -571027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-5)\/((-10)\/16). Suppose c*g = 16*g - 620. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235409, 235413, 235417?\n\"Answer: 4*k + 235405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 124355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38343, 306862, 1035699, 2455014, 4794967, 8285718?\nAnswer: 13157427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -14*d**6\/3 - 2*d**3 - 4. What is the third derivative of z(p) wrt p?\nAnswer: -1680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y = -70*y - 2. Find the common denominator of ((-16)\/(-7) + y)*-1 and 34\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 - 10 = 0. Let j = 64 - s. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*k + 154. Let o = k - -72. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*t - 1 = 0, -2*t = -3*j - 0*t - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i + 4*s - 32 = 0, 5*s - 28 = i. Let z be (-2)\/(-7) - 40\/(-7). Let h be ((-4)\/z)\/(i\/36). Is 7\/4 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.91, 14\/3, -1\/6 in descending order.\nAnswer: 14\/3, 0.91, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*o - 3*y, o - 5*y - 23 = -2*o. Let d be ((-12)\/(-63))\/((-4)\/o). Let t = -0.2 - 0.3. What is the second biggest value in d, -2\/13, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/96 and -15\/176?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 579 + 586 = d, -2*g + 14*d = -22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/(-111)*(-18)\/(-1). Suppose 100 + 164 = l*w. Calculate the least common multiple of 40 and w.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1139, -9341, -31599, -74939, -146387, -252969, -401711?\nAnswer: -599639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 451 + -450. Suppose -5*j + 0*j + 1 = -y, 5*y = 20. Let x be j\/3 + (-7)\/(-24). Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5160*n - 13816 + 13816 in the form l + f*n and give f.\nAnswer: -5160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 = 2*y - 197 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - (-40)\/15) + -2)*(-13 + -26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 30*y**3 - 2799*y**2 + 15876*y - 23328.\nAnswer: (y - 36)*(y - 3)**2*(y + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trqk when four letters picked without replacement from turrurruurttqrkr?\nAnswer: 1\/2080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.94 - -0.825. Let x = r + -3.885. What is the fourth biggest value in 0.4, -2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/168*40\/3*9\/(-465)*3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:00 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27483*l*w**2 + 1214542*l - 6*w**2 wrt w.\nAnswer: 54966*l*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2172 divide 810483972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-128)*(2\/6)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - s**2 + 15*s - 7. Let q be u(7). Solve -t = 1 + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634504.\nAnswer: 2, 13, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6295 - -37685\/6. Let y = 2292812 + -22957417\/10. Let x = y + 2918. What is the common denominator of x and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 116 - 78*b - 60)*(-1 + 1 + b)*(2*b - 5*b - 3*b).\nAnswer: 468*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -140\/3. Let g = 138.88 + -3.88. Let j = g - 132. What is the smallest value in 4, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2585 divide 70266714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1527 - -1529. What is the second smallest value in 0.219, 2\/11, p, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10*g**2 - 98*g + 182. Determine r(-13).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3159)\/36)\/(-39)*((-4)\/(-2))\/18\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 15*a**2 - 53*a - 10. Let n be m(-10). Suppose 19*f - n*f + 57 = 0. Calculate the greatest common divisor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366972426.\nAnswer: 2, 139, 337, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 14*l + 2. Let p be s(14). Suppose -3*o + 10 = 4*z, -2*o - 4*z + p = -2. Suppose -3*x = -o*x + 126. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 43 - 29 = 0. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**2\/2 + o - 3. Calculate y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-40)*-8*11\/(-33).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1722 and 3445\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -7*v - 2\/3*v**3 + v**2 - 1\/10*v**5 + 0 - 1\/12*v**4. Let o(f) = 4*f**3 + 2*f**2 + 9*f - 5. Give 2*o(i) + 5*r(i).\nAnswer: -2*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/81)\/(5\/(-15)) - 0)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from rrrrrrrsryxxr.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*d - 1111 - 463, 0 = 2*c - 3*d - 1574. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -48. Is 11 a factor of ((-192)\/h - 5) + 2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 40. Let h be o(-7). Let g = -34 + h. Let l = 1.2 - 0.7. What is the second smallest value in g, l, 1\/7, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**3 + 5*m**3 + m**3)*(2 - 2 - m) + 4*m**4 + m**2 - m**2 in the form g + l*m**2 + t*m**3 + a*m**4 + v*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from {o: 15, w: 3}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27320 divided by -5464?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1192 - 1171. Sort o, 3, 5, -1 in ascending order.\nAnswer: -1, 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 - 10*f**2 + 16*f - 28. Determine p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2 + 11)*(-5)\/(-20). Suppose -4*y + 8 = 3*p, -4*y = -c*p - 13 + 5. Factor -1\/7 + 0*x**y - 2\/7*x**3 + 2\/7*x + 1\/7*x**4.\nAnswer: (x - 1)**3*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 46 (c) 307 (d) 412\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/360 - l**5\/120 + 5*l**4\/4 - 27*l. Let q(a) be the third derivative of c(a). Calculate q(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 2:16 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81611946?\nAnswer: 2, 3, 13, 348769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5457 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 18*r**2 + 18*r - 24. Let m be g(17). Suppose 0 = -h + 4*n - 1, n - 61 = -5*h - n. Let o = h + m. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - w - 17. Let h(b) = -16*b**3 - 160*b**2 + 3*b + 30. Let t be h(-10). Give g(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -256*m + 256*m + 42*m**2 + 2*m**2 - 4*m + 4*m + (3*m - 3*m - 4*m)*(3*m + 2*m - 3*m) in the form o*m**2 + z*m + g and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzdh. What is prob of sequence hzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3293 + 5862. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -b + 5*g, -603*g + 607*g - 26 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppzzprrzpzppzzzppp. Give prob of sequence rp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 1 - (1 + -5). Let r = 2.8 + -3. Let k = 0.5 + -1. Which is the second smallest value? (a) r (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-90) + 2\/5. Suppose 0 = 2*l - 5*p + 21, -l - 2*p = -0*l - 12. Do l and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4475 and 125.\nAnswer: 22375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (191 + -159 - 132).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1948*x - 3878*x + 1933*x + 1233)*(0 - x + 0).\nAnswer: -3*x**2 - 1233*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -482 or -480?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 4*p - 8. Is 8 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10661 is divided by 2125.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5118aa (base 12) to base 10\nAnswer: -1267906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5*-2*sqrt(96))\/(sqrt(36)\/sqrt(75)))**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(1\/(-20)). What is the second derivative of -21*i + m*i**4 + 28*i**4 + i - 17*i**4 wrt i?\nAnswer: 252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-250))\/((-9)\/30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415358420 to the power of 1\/2, to the nearest integer?\nAnswer: 91735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - r**2 + 8*r + 44. Is w(-10) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*v*v**(-1\/2)*v*v*v**7\/(v\/v**9) assuming v is positive.\nAnswer: v**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 1, j: 1, z: 1, s: 1}. Give prob of sequence bjz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 7*x + 9. Let n be j(-6). Let p be (-8)\/((-116)\/(-40) - n). Suppose 7*q = 3*q + p. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + 0 + (-2 - 3) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q + 320. Let p be j(35). Let l = 30 - 5. Solve -p*d + 3*h - l = 0, 4*d - h = 2*d - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10202460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(891) + sqrt(891) + 2*sqrt(891) + sqrt(891)))**2 - sqrt(55)\/(sqrt(5) + (sqrt(5) - 2*sqrt(720))).\nAnswer: sqrt(11)\/22 + 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 12*k**2 + 10*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -554*w + 16063. What is a(29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = -64. Suppose 2*a - a - c = 0. Suppose 220 = 4*u - a. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 74*x**2 + 85*x**2 + 118*x**2 - 11*x + 11*x.\nAnswer: 2*x**3 + 277*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 72 - 114 = 0. Let s = -34009 + 34022. What is the remainder when g is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**1\/l*l)**(-1\/14))**23*((l**(-4)\/l*l)\/(l*l**(-5)*l))\/((l**(-1)*l)\/l**(-2)) assuming l is positive.\nAnswer: l**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 207427 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8*470478\/180 - (-16)\/(-120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 2. Let l(b) = 3*b + 3. Let t(z) = -2*z**3 + 7*z**2 - 11. Let q be t(3). Let w be (0 + 6\/(-24))\/(q\/24). Determine w*u(n) + 2*l(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34393, -68820, -103247, -137674, -172101?\nAnswer: -206528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 3 + 3*g**2 - g**2 + 5*g - g**2. Let t be b(3). Solve f + t = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11881346*n**6 - 3999676*n**2.\nAnswer: 1425761520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 - -344. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 149?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -47*t**3\/3 - 13*t**2\/2 + t - 3. Find the second derivative of d(c) wrt c.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmo when three letters picked without replacement from {o: 3, e: 5, n: 4, m: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4\/7*a**2 - 2\/7*a - 2\/7*a**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 0*b. Solve 4*h - 10 = 2*c, 0 - 4 = -3*h - b*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -9, -4, -34, 1 in decreasing order.\nAnswer: 1, -3, -4, -9, -18, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 75\/8 (b) 3 (c) 6 (d) -0.077 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -45609 at most as big as -14668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.32421.\nAnswer: -0.17579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 56, 141, 260, 413, 600, 821?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 - (-15)\/5. Let f(r) be the first derivative of 6*r**l - 64 + 34 - 5*r**5 + 47. Find the second derivative of f(o) wrt o.\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17463 - -17468. Solve -556 + 531 = -x*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z. Suppose 3*g + 2*v - 8 = -2*v, -4*g - 10 = -5*v. Let c(a) = g*a - a + 6 - a**2 + 2*a. What is c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253171 * -0.3.\nAnswer: 75951.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 506 = 1299. Suppose 9*c + b + 20 = 0. Let a(y) = -13*y + 2. Let w(s) = 11*s - 1. Let z(n) = 5*a(n) + 6*w(n). Determine z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -1, 1\/65 in decreasing order.\nAnswer: 0.1, 1\/65, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115000 rounded to the nearest 1000?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 89*v + 1182. Let j(f) = 179*f + 2561. Let x(b) = -6*j(b) + 13*k(b). Let w(c) = 11*c. Let m(g) = -7*g. Let h(a) = 8*m(a) + 5*w(a). Determine x(h(p)).\nAnswer: -83*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107.917 - -23.917. What is the closest to m in 1\/6, 5, 2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q + 4*q)*(-8*q - 146 - 143 + 286).\nAnswer: 16*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -637.\nAnswer: -1\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(833)))**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 4, f: 1, i: 1, l: 1}. What is prob of picking 1 s, 1 l, and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/50 - (507\/(-6) - (-6 + 12))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 10*o + 21. Suppose 3*l - 6*r = -4*r - 20, -l + 5*r - 11 = 0. Determine s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*o - 6*o - 19184. What is the least common multiple of 1744 and o?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -c4?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 60 + 20. Let d be (q\/180)\/(6\/(-9)). Let w = -381\/376 - -30\/47. Which is the second biggest value? (a) w (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 360, 361, 362?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - 4446646?\nAnswer: -4446674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-625)*10*(3\/9)\/(113\/(-15))?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-50))\/(3\/(30\/8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13938 and 96354.\nAnswer: 2216142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6*o - 5. Let q be (-1)\/((-4)\/(1*-28)). Let n be d(q). Factor 4\/5*a - 2\/5 - 2\/5*a**n.\nAnswer: -2*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664742359 to the power of 1\/3, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 - j - 9. Let o(i) = -2 + i + 5 - 2 - 2489*i**2 + 2490*i**2. What is -d(z) - 3*o(z)?\nAnswer: z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*a + 28620 = -0*i, 3*i - 85796 = -a. Suppose -5*s = -3*s + i. What is s rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -43 (b) 9\/5 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2355 - 25972 = -1695*b + 10658 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/135521049 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 + -9819?\nAnswer: -98c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = 2*y. Let x(l) = -20*l**2 + 3*l - 8. Let j be x(y). Let c = j + 508. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/460427 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/9 - 6916*q\/3.\nAnswer: -4*q*(q + 5187)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -461.9 rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/311 or 115?\nAnswer: 3\/311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 14. Let t = -15 - a. Solve -4*h + 2*h - 2 = t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -497*d - 7970. Give l(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4878*y + 4848*y = 9798*y - 2736 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/9 - 6\/(-9). Let l = f + 0. Suppose 2*a = -0*a + k + 159, l*a + k - 401 = 0. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**7\/14 - m**6\/30 - 203*m**4\/12 + m**3\/3 - 811*m**2 - 7200*m. Find the second derivative of h(l) wrt l.\nAnswer: -60*l**3 - 12*l**2 - 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/6 - 4*c**3 + 71*c**2\/2 - 68*c\/3 - 62 = 0.\nAnswer: -31, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.006 and 1101?\nAnswer: 6.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -3*x + 271 - 137 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7171, 7179, 7187, 7195, 7203?\n\"Answer: 8*a + 7163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 4*a**2 - a + 2. Let w be n(-3). Let d be (-2)\/(-4) + (-2)\/w. What is the units digit of 3 + d*-4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1070388 - -443388. Round l to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389020084 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 + 1\/3*j**3 + 32\/3*j**2 + 61\/3*j.\nAnswer: (j + 1)**2*(j + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -51, -138, -277, -474?\n\"Answer: -w**3 - 17*w**2 + 17*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 0.3 (d) -1\/2 (e) 6111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3373198, 6746401, 10119604, 13492807, 16866010, 20239213?\n\"Answer: 3373203*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472704*x**2 + 945368*x**2 + x - 2*x**3 + x - 472664*x**2.\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -35. Let n(q) = 2*q**2 + 4*q**l - 9*q**2. Let o(z) = -z. Calculate n(o(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78644, -314497, -707578, -1257881, -1965400, -2830129, -3852062, -5031193?\nAnswer: -6367516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, -6, 49 in increasing order.\nAnswer: -6, 4, 14, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3880 by -10.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v - 6. Let h(i) = -i - 2. Let m(c) = c + 4. Let s(j) = v*h(j) - 4*m(j). Let b be 4\/8*2\/(-3)*-9. Give s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3340)\/7182 + 172\/602 + 6\/57.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 15, -5*c = -2*g + 3 - 58. Let u = 2 - c. Which is greater: u or -22\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1618357620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*u**3 - 2 + 2 + 73*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 16. Let d be x(18). Let h be 16\/22*(-2)\/(-16)*d. What is the smallest value in h, 3\/8, 2.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.64 + 0.04. Let u = -19 - v. Which is the closest to 2? (a) -2\/13 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16570 is divided by 247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 659574*z\/5 - 1978704\/5.\nAnswer: -2*(z + 3)*(z + 329784)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 32 = -2*x - 49, 4*u + 5*x = 108. What is the remainder when -3 - (-22 + -1)*3 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.252*2.\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 1 - 2 - 2*c**2 + 2*c**2 + 2*c. Let w be y(2). Let h(o) = -3*o - 2. Is h(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000019933756 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 3. Let r be (-5 - -2) + -3 - 4. What is the remainder when c(r) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 6 = 2*p, -46*x + 4*p - 12 = -49*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/5 + 3*g + 16\/5 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*p**3 - 75*p**3 - 69*p**3 + 267*p**3 - 63*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27788 and 140?\nAnswer: 972580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 7)*(-90*d + 48*d - 211 + 43*d)*(-3 - 1 + 3)*(-d + 0*d + 0*d)*(-d + 2 - 2) in the form p*d**3 + g + w*d**2 + x*d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-77.5.\nAnswer: 77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**3\/6 + y. Let f(t) = -1. Let h(z) = z - 2. Let j(d) = 6*f(d) - 3*h(d). Give u(j(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 135*r + 1076. Give y(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*g**3 - 246*g**3 - 228*g**3 - 433 + 813*g**3 + 433.\nAnswer: 75*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 762 and 2921?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3133001 + 0?\nAnswer: -3133001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2)*-1 + (-4 + sqrt(2)*1 - sqrt(2)))**2 + sqrt(4)\/(sqrt(2)*2) + ((sqrt(20)*1 - sqrt(20))\/sqrt(10))**2.\nAnswer: sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 332 + 496. Suppose -i = -60*c + 54*c. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:27 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/52 and -33\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(847)*2 - sqrt(847)) + 4 + sqrt(847) + 1*sqrt(847)*-6*2)**2.\nAnswer: -440*sqrt(7) + 84704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15834 is divided by 180?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptttppp. What is prob of sequence tppt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - 2*v + v + (-3*v + 1 - 1)*(-9 - 7 + 0)*(-2 + 0 - 1) to t + u*v and give u.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + l**3 - 3*l**3 + 5)*(20 + 16 - 12).\nAnswer: -48*l**3 - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 4*h**2 - h**2)*(-h**3 + 4*h - 4*h) + 0*h**5 + 4*h**5 + h**5 + (0*h**3 + h**3 - 2*h**3)*(h**2 - 6*h**2 + 4*h**2) - 3*h**5 - 9*h**5 + h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c. Let h(y) = 22*y + 182. Let b(z) = -7*z - 59. Let i(s) = 7*b(s) + 2*h(s). Let j be i(-7). Let m(w) = -50*w. What is j*d(f) - 3*m(f)?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 + 1 = 0. Suppose 24 = v*h - 0. Suppose 5*w = 6*w - h. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7130289.\nAnswer: 3, 587, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -214 + 624. Let q = -404 + b. What is the lowest common multiple of ((-6)\/8)\/(2\/(-88)) and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224.07 + -225. Let b = 1.13 + c. Let o be (-8)\/6*(1 + -4). Does o = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1bd1a6?\nAnswer: -1bd1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 797, 1190, 1581, 1970?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2562 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11284 and -2377.67246.\nAnswer: 8906.32754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (786775\/75 - (-4)\/6)*(6 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119321232*z**4 - 63594586*z**2?\nAnswer: -2863709568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3777294 and 21564.\nAnswer: 22663764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.24 - 7.9. Let b = -0.07 + v. Let u = 0.77 - b. Sort -0.7, -1, u in descending order.\nAnswer: u, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 146 = -32 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 5928cc8?\nAnswer: -5929005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 5*a**3\/2 + 51*a**2 + 24*a + 2. Is 6 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 70434?\nAnswer: 70418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3241*c*k**3 - 2*c*k - 2933*c + 26*k**3 + 3 wrt k?\nAnswer: 19446*c*k + 156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Suppose 3*b = -4*d + 3, 5*d + 2 - 5 = -3*b. What is the closest to -1 in d, 3\/2, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -38, -12, 46, 148, 306, 532?\n\"Answer: 2*p**3 - 2*p**2 - 2*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 2, i: 15}. Give prob of sequence qq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1214517979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/81)\/(15\/(-54))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from ubbuubuuuuuububuuu.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -5 - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -0.35 (b) 4 (c) -2106\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -11*p - 1\/3*p**3 + 0*p**2 + 0 + 7\/4*p**4. Is r(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 1177 + 123 = 0. Let a = 37 - 24. Calculate the greatest common divisor of f and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let s = q + -2. Sort 1\/8, s, 0.\nAnswer: 0, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11430, 11432, 11434, 11436, 11438?\nAnswer: 11440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (7 - -90) + -1. Calculate the greatest common divisor of 752 and r.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -39*d + 2. Let h(i) = i**3 - 7*i**2 + 8*i - 13. Let b be h(6). Let s be q(b). What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.03, 6, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10110010100 (base 2) to base 9\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(891) + -4)**2.\nAnswer: -72*sqrt(11) + 906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84338970\/(-2350)*(-3)\/(-9). Let d = 11963 + z. Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21333, 21380, 21499, 21726, 22097, 22648, 23415?\nAnswer: 24434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-19)\/7410)\/((56\/(-7))\/8)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*v = -2*v - 10, z + 5*v - 19 = 0. Suppose -1198 = 2*l - 7*l - u, z*l = u + 962. Find the common denominator of ((-355)\/l)\/(2\/6) and 105\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r + 2. Let m be u(9). What is the highest common divisor of m and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167808485 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000212807 to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -1.41.\nAnswer: 9.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p*p**(-3\/5))\/(p\/((p**1\/p)\/p)*p**2)*(p*p**(1\/2)*p*p\/(p**(1\/6)\/p*p))**(-33\/4) assuming p is positive.\nAnswer: p**(-391\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7774641 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22770 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 2*j + 2, -1 = t + 2*j. Find the third derivative of -383*q + 383*q + 51*q**6 - 107*q**2 - 35*q**2 - 2 + t*q**5 wrt q.\nAnswer: 6120*q**3 + 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 2292. Let p(r) = -r**3 + 10*r**2 + 22*r - 118. Let j be p(11). Suppose -4*b + o + 0*o + f = 0, 5*o = -j*b + 1719. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*g + 110*g - 652*g = -55413 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 119. Suppose 12*f = g*f. Solve s + 21 = -5*n, 4*s + f*s + 8 = -n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/16)*j*j**(5\/4)*(j*j**(-3)\/j)**41)**45 assuming j is positive.\nAnswer: j**(-86175\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/2*(-10043)\/2662 - (-1)\/(-4)*-11?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -7.9083?\nAnswer: -0.79083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 0.4.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 9*i**2 - 5*i + 47. Let r be p(9). Let a(l) = 3*l + 651*l**3 + l**r - 4*l - 638*l**3. Give a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (453*g**2 - 2321*g**2 - 701*g**2)*(g**2 - 2 + 1 - 3) in the form a*g + m*g**3 + s*g**2 + p*g**4 + n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/99259 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 38 + 16 = 0. Let a(d) = 890*d - 18. Is 8 a factor of a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 11 - 7*s + 0*s - 12*s**2 + 3*s**2. Suppose 2*f = d - 5*d - 24, 28 = -4*f + 2*d. List the prime factors of k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424930 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 + (-21 - -22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4*z - 15 + 7*z)*(-3*z + 2*z + 0*z).\nAnswer: -11*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -4*d - 4*g, 4*d + 122 = -0*d - 3*g. Suppose -v + 35 = -8*k + 3*k, 5*v - 199 = k. Let a = v + d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4886 + 24428\/5. Which is the nearest to -71? (a) -4 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 + 12 = 3*i, i - 19 = 2*m. Let x be (1\/(-9))\/(m\/(120\/2)). Factor 2\/3*q**2 - 1\/3 + x*q**3 - 1\/3*q**5 - 1\/3*q - 1\/3*q**4.\nAnswer: -(q - 1)**2*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11801.92 to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) -6\/25 (c) -3 (d) 5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m - 3. Let h be t(-2). Let z = 639 - 441. Suppose -3*l - 112 + 280 = 3*o, h*o - 3*l = z. Calculate the remainder when o is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(28) + (sqrt(28) - sqrt(252)*-4)))**2 - (-3*(sqrt(7) + 2)*-6 + 4).\nAnswer: -18*sqrt(7) + 49352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t - 4 = 222*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t + 29*t - 1 + 20*t + 36*t**2 - 38*t**2 to the form z + v*t + l*t**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -11086 and -11086 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(1323\/(-504)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -76, -99, -122, -145, -168?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350729921 a multiple of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - 4*2*sqrt(70))\/(sqrt(20)\/(sqrt(2)*1)) + (sqrt(84) + sqrt(84)*1*-6 - sqrt(84))\/(sqrt(24)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/15*((-1235)\/38)\/(-13).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-27)*-1)\/2)\/((-22)\/9).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4 = 3*l, -l + 3*k - 2191 + 2196 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -2, -244 in descending order.\nAnswer: 1, -2, -7, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 30*c = -45*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/13 + 0 + 10\/(-65). What are the prime factors of -4 + 4 + y - (-80 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4589*t**5*z + 2855*t**3*z - 35*t**2*z + 2284*t**2 - t*z + 2*t + z - 59 wrt t.\nAnswer: 275340*t**2*z + 17130*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 5, z: 1, v: 9}. What is prob of picking 2 v, 1 n, and 1 a?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1082*m**2 - 1042*m**2 + 26074*m - 26152*m to u*m**2 + j + l*m and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 270, 586, 1042, 1650, 2422, 3370?\nAnswer: 4506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 32 = 2*d - 1, 1537*d - 4631*d + 1548*d - 64 = -2*p - 1541*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 13, -42 in descending order.\nAnswer: 13, 0.2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1748440 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1 - 96\/(-20) - 4). Which is smaller: -20 or m?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1947 + -1944. Solve 4*f - 10 = -3*p - 22, 0 = -i*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = 4*t + 17*a, -2*a = -106*t + 110*t + 224 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 4*a**3 + a**3)*(224*a**2 + 347*a**2 - 56*a**2) + 3*a**5 - 2 + 2 + (-2*a + 2*a - 2*a**3)*(0*a**2 + a**2 + 0*a**2) - a + 2*a**5 + a.\nAnswer: -512*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/3*2*270\/3060*-17.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9602*l + 9594*l + 9*l**3 - 3*l**3 - 28467*l + 9271*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 4, -60, -0.03?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (4 - 0\/2). Let h(u) = -3*u**2 + 3*u + 4*u**2 + 3*u - 3*u - 3. Calculate h(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*153\/255.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 195, -1, -1539 in increasing order.\nAnswer: -1539, -2, -1, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015*l - 2049*l + 294 = -1020*l. Let j(q) = -q**3 + 7*q**2 - 4*q - 6. Calculate the remainder when l is divided by j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/3)\/n)\/(n*(n\/n**(-28))\/n)*((n*n**(-14)*n)\/n*n*n)**(-40\/3) assuming n is positive.\nAnswer: n**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -3*z + 32. Suppose -4*k = -z + 29. Suppose 3*t + 5*p = 30, -3*p + k + 16 = 4*t. Solve s + 2*i - 1 = t*i, 4*s - 21 = -5*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2035*u**6 + 538*u + 747*u**6 - 3996*u**2 + 3994*u**2 wrt u?\nAnswer: -154560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -27*i**2 - 2702*i - 87. Give d(-100).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 2. Let h be 2\/8 - (-91)\/52. Let z(t) = -10*t - 2. What is the remainder when z(-3) is divided by b(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3953 = 7*m + 117. Is 137 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-36)*(-220)\/(-33)*15\/(-5)*-1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*k**3 - 5 - 4*k**3)*(-4 - k**2 + 4) + (15*k + 6*k**2 - 15*k)*(-2*k**3 - 2*k**3 + 3*k**3).\nAnswer: -5*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1*(-122358)\/(-126758). Let n = t + -2\/1039. Is 1 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3\/6 - v**2\/2 - v - 1. Let f(h) be the first derivative of t(h). Let u = -9 + 5. Calculate f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 2*q**4 - 3*q**4 + q**4 - 3*q**4 + 3*q**4 + (-q**3 + 3 - 3)*(-4*q + 3*q - 2*q).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by 10\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1415904 divided by -8428.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3734133 (base 10) to base 2\nAnswer: -1110001111101001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c + -5?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622401 times 5?\nAnswer: 18112005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -11107241?\nAnswer: 1110723d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -130*a - 356*a + 798402 - 798402. Let s(m) = 25*m. Give k(s(r)).\nAnswer: -12150*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, y: 3}. Give prob of picking 3 a and 1 y.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2)*f)**(4\/9))**(-2\/49)\/((f**(-3)\/f*f)\/f**(2\/7)*(f\/(f*f**(-1\/3)))**(-36\/5)) assuming f is positive.\nAnswer: f**(12377\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5590, 10169, 14748, 19327, 23906?\n\"Answer: 4579*w + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*y - 80 + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(104) + (-2*sqrt(104) - sqrt(104) - sqrt(104) - sqrt(104))*5 - sqrt(104))\/sqrt(8).\nAnswer: -125*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31204\/(-522) - -1*4. Which is bigger: a or -56?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5454 and 151907535?\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*p - 101 = -551, 0 = 5*p. Let b(j) = -j**2 + 31. What is the remainder when m is divided by b(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2107 - -2090) + (-885)\/(-52)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 5:45 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2580 divided by 645?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(600))\/(sqrt(12) + (sqrt(12) + (sqrt(12) - sqrt(96)\/(3*sqrt(8))) - sqrt(12)) + sqrt(12)).\nAnswer: 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-8*j - j - 2 + j)*(-9 - 9 - 3).\nAnswer: 336*j + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*-4*(-90)\/(-162)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*s + 7115 = 0, 580*x - 575*x - 4*s - 11880 = 0. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3 + 215*j - 221*j + 3 + 12 - 3*j**2. Let q(y) = 3*y**2 + 7*y - 13. What is -4*q(o) - 5*u(o)?\nAnswer: 3*o**2 + 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 196*b**2 + 818*b + 206. What is v(-102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94, -176, -254, -328?\n\"Answer: 2*h**2 - 88*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*m - 277 = -1322 - 2096 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 5*n + n + (-12 - 6*n + 12)*(2 - 3 - 3) + (4 - 1 - 5)*(9*n - 3*n + n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, -8, 11 in ascending order.\nAnswer: -8, -4, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 7*g - 3*g)*(-g + 4 + 8 - 13).\nAnswer: -3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 5*h - 18, -4*h + 71865 = 14*c + 71909 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/20 - (-18)\/(-5). Let p be 358\/(-33) - c\/22. Is -10 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4))**(-40)*(v\/(v\/(v\/((v*(v**22*v)\/v)\/v)*v*v))*v)**(-7) assuming v is positive.\nAnswer: v**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**2 + 21375*b + 4441320 = 0.\nAnswer: -4056, -219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5451\/4186 - (125\/(-14) + 9).\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40913 >= -2168360\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16108, -16578, -17366, -18472, -19896, -21638?\nAnswer: -23698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*y - 11. Let r be 1*(2 - (-15)\/y). Let v = -6\/49 + 281\/294. Sort r, v, 2\/11.\nAnswer: 2\/11, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + 6*m)*(-14 + 3 + 1 + m).\nAnswer: 8*m**2 - 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 5*f, -4*f = f - s - 12. Let q = 818 + -816. What is the derivative of -29*t**f + 14 + 19*t**q - 11*t**2 wrt t?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15549660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*l**2 + 7*l - 9*l + 77*l**2 as v*l + g*l**2 + a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 3*a**3 + 2*a**3 + (3 + 0 - 2)*(a**2 + 2*a**3 - a**2) + (5 + 5 - 38)*(-a**3 + 3*a**3 + a**3).\nAnswer: -85*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 32.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0*g + 13\/2*g**3 + 13*g**2 + 47\/24*g**4 + 0. Differentiate w(p) with respect to p.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1713539, -3\/7, -1, -28?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1020044 and 15\/1882.\nAnswer: 1020044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:22 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*s + 424, -11*c = -10*c + 3*s - 111. Calculate the highest common factor of c and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 125539627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from qnuntnuqltuqutz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/12*3*(-4)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.487 + -9.43. What is the smallest value in -1, -0.3, g, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131 - 5932*s**2 - 22 - 109 as m*s**2 + f + t*s and give m.\nAnswer: -5932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 5*d**2 - 4*d**2 + (0*d - d + 3*d)*(0*d - 2*d + 0*d) + 4 + 2*d**2 - 4 - 2*d**2 - d**2 + 2*d**2 + (-905*d - 43*d**2 + 905*d)*(-1 + 3 - 1).\nAnswer: -47*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:53 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 equal to -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 125. Suppose k*a - a - 5*r - 15 = 0, -r = -5*a + 26. Solve a*h + 23 = 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -10*s - 5. Let i(z) = -21*z - 11. Let o(a) = -13*h(a) + 6*i(a). Let r be o(-1). Let d(w) = 7*w - 6. Let k(q) = -6*q + 5. What is r*d(p) - 6*k(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80403897 a multiple of 2371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 - 207.7. Round c to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622324 is divided by 2008?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 875719.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 2*x)*(2*x - 4 + 4) + 0*x + x**2 + 0*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-13)*(-298)\/(-447)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 6740.94?\nAnswer: -20222.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66042961 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(117)\/(sqrt(225) - sqrt(9)))*5*-2.\nAnswer: -5*sqrt(13)\/2 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8001371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10965 divided by 302\nAnswer: 10965\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + -25. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 8*t**3 + 22*t**2 + 24*t + 9.\nAnswer: (t + 1)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 4. Let u(s) = -s**2 - s + 7. Let r(v) = 5*m(v) - 3*u(v). Let t be r(3). List the prime factors of t\/110 - (-106)\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((140\/(-8))\/(-7))\/((-13)\/(-78)). Solve 9*s = 6*s + m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1044 and 65482.\nAnswer: 66526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 201 + 189. Solve 2*r - z = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 200*p - 538. Calculate the smallest common multiple of c(6) and 2.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(4 + -3) + -98. Let a(m) = -2*m**2 + 15*m - 25. Let l be a(8). Let d be l*(-7)\/(105\/o). What is d rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4510 and 13726595?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3195144 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f**2 - 179*f + 1597. What is d(9)?\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(19) - (3 + sqrt(1216) + sqrt(1216)))*-4*1.\nAnswer: 12 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*g + 15019 - 20986 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/18 - (-348054)\/189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9476202 is divided by 1896?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 30*f**2 + 9*f + 4. Give z(-15).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3 + 2 + -4). Suppose -a*p + 17 = 2, 0 = -x - p + 9. List the prime factors of 82\/4 + 2\/x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 47. Let v(z) = -1698*z**2 + 4*z. What is w(v(c))?\nAnswer: -5094*c**2 + 12*c - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/30 - 807*h**5\/20 - 369*h**4 + 3201*h. Find the third derivative of v(c) wrt c.\nAnswer: -24*c - 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + o, 4*b + 5*o + 9 - 36 = 0. Let w = 8 + 3. Solve -w + b = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.461 and 75?\nAnswer: -634.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10952 and 8672.\nAnswer: 11871968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2 + 3*h**2 + h**2 - 7*h**2 - 2 wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.43713 nanometers in micrometers?\nAnswer: 0.05443713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86060 divided by 17212.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 39. Suppose 27 - d = 3*l. Solve 0*j = j + l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3338 + -16691\/5. Suppose 0 = f - 0 - 1. What is the third smallest value in 2\/7, 0.4, f, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 * 0.8.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -8. Let c(j) = j**2 - j + 6. What is the least common multiple of c(0) and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 2*d - 2*d + (-2*d + 4*d - 5*d)*(3 - 3 + 2) - 3*d + 2*d - d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 117730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -34, 5, 2, -5998 in decreasing order.\nAnswer: 5, 2, -4, -10, -34, -5998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 1\/3 (c) -2\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 - 8 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Let s = d + 4. What is the remainder when 10 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 23*t**2 - 57*t + 262. Calculate z(11).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 10*l + 5. Let v be j(-10). Suppose -z = v*z - 342. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4, 5*s - 38 = -41*n + 48*n. Let p(x) = -15*x - 11. What is p(s)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76202199 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 1. Let c(x) = 5*x**2 - 3*x + 3. Let p(f) be the second derivative of 3*f**4\/4 - 5*f**3\/6 + 5*f**2\/2 + 5*f. Determine g*c(m) - 3*p(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128*t + 6770 = -1451*t. Suppose -s + k = -4*s + 194, 258 = 4*s + 2*k. What is the remainder when s is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-54)\/(-8) - ((-21)\/4 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -1\/8*w**4 + 0*w**3 + 0*w**6 + 1\/105*w**7 + 0 + 0*w + 0*w**5 + 3*w**2. Find the second derivative of m(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 14) to base 12\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130282647 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 118\/546043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycj when three letters picked without replacement from yyjycycyjyjj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 6*j**2 + 20*j - 7. Determine x(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -213, -331, -451, -573, -697, -823?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -20, 1.44, 0.1 in increasing order.\nAnswer: -20, 0.06, 0.1, 1.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.2047 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s = -0*s. Suppose 6 = 3*k - k. Suppose u - k*u + 6 = s. Let a(l) = -l**2 + 3. Determine a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/1*(57\/(-6) - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (985\/(-788))\/((2\/12)\/(10\/(-15)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 260167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 44*c - 7 = -40*c, -q - 4*c = 13. Solve -5*y - 17 = -4*s, 4*s + y - 2 = q*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20) - (26622\/(-1326) - -20 - 53\/1170)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2816 and 21776.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2250177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 143983402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 - -231044?\nAnswer: 231232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(33\/308*-7*6\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h**5 + 0*h**2 + 1 + 0*h + 2\/3*h**3 + 0*h**4 - h**6. Find the third derivative of i(r) wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 1, h: 3, s: 1, c: 3}. What is prob of picking 1 j and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from lllglltwwtlttgg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 11. Let z(u) = 5*u + 10. Let t(b) = -b**2 + 34*b + 284. Let d be t(41). Give d*j(w) - 4*z(w).\nAnswer: -2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-70 - -255778) + (1 - 9). Round d to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-8 - (-31 + -5) - 15) - -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 181*h**2 + 333*h + 5860. Determine i(183).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -64. Suppose 0 = -43*h + w*h + 102. Solve h*r + 0*r = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7630636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (2 + -3) - (-4732 + 4648)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 123*(-2 - (-4)\/3). Let s = -37 - v. Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -34.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 22 - (1 - 4)) + 4 - 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -112391106 divided by 37463702?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -80, -75, -50, 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/17 - 697750*y\/17 - 2093268\/17.\nAnswer: 2*(y - 348878)*(y + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20437, 40639, 60847, 81061?\nAnswer: 101281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2114*y + 2112*y - 78 - 4247*y - y**2. Let z be v(-10). Solve 12*g + 16 = -z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 - (-4 - (6\/54 + (-5488)\/144)). Suppose -80 - 16 = 4*d. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -34. Let d = -18 - r. Let h = -0.51 + 0.31. Which is the third smallest value? (a) h (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a - 1. Let l(j) = -7*j**3 - j**2 + 6*j - 6. Let b(c) = l(c) - 6*m(c). What is the third derivative of b(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Solve -8 = 4*d - i*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9177*u. Let r(m) = -41*m. Determine o(r(t)).\nAnswer: -376257*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(-7 + 3). Let b = -25 - -32. Suppose b = u*d - 15. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1946 and 0.3?\nAnswer: 1945.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.9 times 0.196?\nAnswer: -7.8204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 57571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 3 + 4*l**2 + 3 to the form t*l + j + b*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s - 9. Let m = 11 - 8. Let z be 1 + (-4 - -1) - m. What is the remainder when d(z) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/7))**(-2\/39))**2)**(-34) assuming f is positive.\nAnswer: f**(136\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 2*m + 9*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 12:09 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56.54 and -0.374?\nAnswer: -21.14596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385247656?\nAnswer: 2, 13, 13319689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -20*t + 14. Let c be a(1). Find the common denominator of -127\/12 and (3 - 87\/c)\/((-9)\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -508995 - -509120.3245. Let z = l + -126.8445071. Let d = -1.52 - z. What is d rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -45*a - 42 + 249. What is the closest to -1 in a, -1, 15, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17203713 divided by 4.\nAnswer: -17203713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -73 - 3. Suppose -42 - h = m. Let q = 112 + m. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139.9 + 140.3. Let l be ((-36)\/10)\/(1\/(-15)). Let q = -269\/5 + l. Which is the third biggest value? (a) q (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-513)\/(-15))\/((-33)\/(-220)). What are the prime factors of c\/3*2\/16*4?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let o(n) = -n + 1. Let g(i) be the second derivative of -i**4\/12 - i**3\/3 + i**2 + 3*i. Let j(q) = -2*g(q) + 4*o(q). Determine j(f(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 8. Let t = m + 5. Calculate the remainder when 21 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 - 2. Let v be p(-4). Let y = 11 - v. Solve -5*u - 35 = 5*f, -u - f = -4*u - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 531474 - 260952. Let j be 7 + -11 + 16 + -530534. Let z = f + j. What is z rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 4*r**2 + 9*r. Let z(y) = -y**3 - y**2. Suppose 0 = 80*l - 23*l + 57. What is l*o(a) - 4*z(a)?\nAnswer: a**3 - 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-15) + 4\/10. Let z = 3715 + -3718. Let r be (-4)\/(-26) - (-837)\/(-117). Put z, 4, r, y in decreasing order.\nAnswer: 4, y, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39c (base 13) to base 14\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 + 287748.88?\nAnswer: 288791.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2\/4 + 135*n\/2 + 1050 = 0. What is n?\nAnswer: -70, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39670*q**5 - 116*q**4*s**2 - 110*q**2*s**2 + 18*q**2*s + 3*q**2 + 6*q*s + s**2 wrt q?\nAnswer: 2380200*q**2 - 2784*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 17*f - 22*f, -2*f - 275 = -k. Solve 2*d + 263 = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23694 is divided by 233.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 485\/7. Let d(q) = -q**3 + 6*q**2 - 5*q + 4. Let b be d(5). What is the biggest value in 0.2, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299485?\nAnswer: 5, 11, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 793879392 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/70*(-48 + 4321\/87).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*w. Find the second derivative of 3*j**2 - 2*j - 5*j + 2*j**w + 0*j wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132374594 + 132374603.5404661. Let m = 16.5404658 - w. Let u = m + -7. What is u rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 + 0.08. Let y be (-5)\/18 - 4\/(-8). Suppose -v + 5 = -g, -68*g + 63*g - 55 = 5*v. Which is the second smallest value? (a) -4\/5 (b) m (c) y (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-15*(-6)\/(-75).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cemmmcmemc. What is prob of sequence me?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = z, 3*v = 4*z + 56. Let u = v + -13. Is (-879)\/6*(-3 - u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12) + (-6)\/(-72)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -740856748219740 and -4.\nAnswer: -740856748219744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19313*r = -17504*r - 16281 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-10) + 5\/(-4). Which is the closest to 0? (a) f (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.015856 - 0.156364. Let r = 0.1605 + p. Let m = 0.02 - r. What is m rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/9 and -97\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1512\/15 + (2 + -14)\/(-3). Let c = t + -104. What is the nearest to c in -1, 3\/5, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 - d + 8. Let a(z) = -2341*z**3 - 5*z**2 - 5*z + 3206. Let i(w) = -a(w) + 5*y(w). What is the first derivative of i(f) wrt f?\nAnswer: 7038*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1312?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - w + 7. Let h(f) = -2*f**2 - f + 4. Calculate -3*b(u) + 5*h(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m + 38*m + 36*m + 37*m - 147*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -38*v**2 + 6*v + 6. Let n(b) = 42*b**2 - 7*b - 7. Let p = -163 - -170. Let j(r) = p*k(r) + 6*n(r). Let q(f) = 12*f**2. Determine j(q(a)).\nAnswer: -2016*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203242 is divided by 25347.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27128723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28156 = 5*k - 57*a + 53*a, -3*a + 5616 = k. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301314.\nAnswer: 2, 3, 13, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/61 + -52\/549. Which is the smallest value? (a) k (b) 2\/21 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:29 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.274279 to 2 dps.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32915?\nAnswer: 5, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1139, -2278, -3417, -4556, -5695?\n\"Answer: -1139*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014983198 rounded to six dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z**(1\/40)\/z)\/z))*z*z**(-38)\/z assuming z is positive.\nAnswer: z**(-1599\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 + -3.59961. What is r rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*x - 346269 = -272*x. Let j = -167406 - -258885. Let a = j + x. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*j = 16, h + 3*j + 3 = 2*j. Let f = 4 + 40. Let s be h\/(92\/f - 2). Solve -5*i - s = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3548710 - 13.5?\nAnswer: -3548723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -779763 (base 13) to base 14.\nAnswer: -5359b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*f = -5510, -19*r - 2209 = -21*r + 3*f. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(4*o + 0*o - 5*o) + 4*o - 2*o + 0*o - o + o + 2*o)*(-4*o + 0*o + 5*o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -83*t - 463 - 95 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/236 and -87\/2.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -38. Suppose m = 4*j - 5*a, -2 = j + 4*a - 0*a. Suppose j*z = 3*f - 7*f + 958, 3*f = z - 499. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - ((2 - 1) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 528*j - 253. What is the remainder when h(1) is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrnr when four letters picked without replacement from {r: 6, c: 2, n: 1, j: 3, a: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 102662618 a multiple of 806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = -t + 2*t, -4*o + t + 5 = 0. Suppose 2*b - 28 = -o*b. Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 91.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 13 + b + 8 + 4*b - b - 2*b + 0*b + 3*b - 4*b + (-5*b + 4*b + 2*b)*(-4 + 4 - 1) - b - 1 + 1.\nAnswer: -b + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 15*s + 175. Calculate c(19).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 2*x. Let s(j) = -84*j + 258. Let k be s(3). Let p(d) = -30*d**2 - 13*d. Calculate k*p(q) - 39*i(q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*r = -a - 2, -5*r = 3*a - 39. Let u = 2 + a. Suppose 5*h - 100 = k, 4*k = 2*k + u. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5194 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 3*s + 2*j, -5*j + 143 = 2*s - 0*j. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 9*u**2 - 8*u - 10. Let t be z(7). Let d = -22 + t. Calculate the greatest common divisor of 50 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 6853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -877*k + 23195 - 51075 - 81745 = 0 for k.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 4. Let x = -10 + 14. Let r be i(x). Is 5 a factor of (-2)\/(-8) - (-55)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5168, 5197, 5226?\n\"Answer: 29*l + 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -23.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/273*(-271271)\/2981?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178 + 20*u + 178)*(2 - 3 - 1).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75971?\nAnswer: 7, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175716 divided by -27?\nAnswer: -6508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(3\/(-2))\/(45\/500).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssrc when four letters picked without replacement from rrrsrccrrrrcrrrsr?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4 + 16 = 0, 4*d = -u + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4480591 + -2?\nAnswer: -4480593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 437272799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -4 + (10 - 0). Suppose -o*y + 3*a + 14 = 35, -2*y = 2*a + 2. Let l(i) = 4*i**2. Let x(k) = k**2. Give y*l(j) + 16*x(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-10) - 47\/(-94)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -7) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1786693263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/245*6*(-2)\/(-18)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2364 - 0.2064. Let r = -0.5 + 0.9. Sort r, j, 2.\nAnswer: j, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 - 1) + (80 - 80) - (2 + -26).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -338826 + 1436711. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 2. Let k be 4\/14 - (-2175)\/105. Let s be (k\/7*(-3)\/9)\/(-1). Sort h, s, 3.\nAnswer: s, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t**2 - 55*t + 113. Give v(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -725, -0.4, -121, 3.5, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2954586 and -25\/10833482.\nAnswer: 32500446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(36\/(-48))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -2021?\nAnswer: 2021.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91)*2)*3)\/((sqrt(7) - (sqrt(7)*-1 - sqrt(7)))*4).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(1125) - (sqrt(99) + 1 + -5*sqrt(11)*-1)**2) + -3.\nAnswer: -708 - 239*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/8*(-686)\/49.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 + 60*o + 200 = 0. What is o?\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/4*-11*(-18 - 0). Suppose -8*h + 5*h - 35 = -2*y, -2*y - 2*h + 50 = 0. Calculate the highest common factor of y and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*b**4 + 55900*b**3 + 6628545*b**2 + 84701430*b + 281493360 = 0. What is b?\nAnswer: -1083\/5, -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 62424?\nAnswer: 499392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817434365.\nAnswer: 5, 11, 14862443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:04 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*b**3 - 46*b**3 - 4*b + 1 - 3*b + 100*b**3 in the form a + n*b**2 + t*b**3 + f*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-12\/5))*c)\/c*c)\/c**(2\/23)*(c\/c**18)\/(c\/c**(-10)*c) assuming c is positive.\nAnswer: c**(-3506\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c**2 + c. Calculate the smallest common multiple of b(-2) and -33*(78\/(-13) - 32\/(-6)).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963756380 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92094 and 9.\nAnswer: 276282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k + 2010 = 3*m, 3334 = 5*m - 2*k. List the prime factors of m.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 20 = -5*x, s - 22*x = -18*x + 16. Suppose 4*a + 6 = -6. Let i be 8\/a*48\/(-32). Solve -i*z - 20 = -s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 87657786.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 810252?\nAnswer: -810254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1 (c) -0.3 (d) 2\/15 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1093*k = 1095*k - 86. Differentiate -64*l - k*l + 104 - 148*l - 33*l + 112*l wrt l.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -31.5, 0.5, -26, -0.1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -8497487.\nAnswer: 42487435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + (8 - (-14 + -7 - (-1 - -4)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4*v**3 - 1767*s**4*v + s**2*v**3 + s**2*v**2 - 4110*s*v**3 + 5*v**3 + 2 wrt s?\nAnswer: -72*s*v**3 - 42408*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h**3. Let n(t) = 155*t**3. Suppose -2*c + 74 = v, -2*c = -v - 3*v - 84. Suppose 7*x - 4 - c = 0. Determine x*n(y) - 85*i(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.022, -4, 3\/5, -0.03?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 603203 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = u - 2*y, -y + 14 = u - 4*y. Suppose g + 2*g - 6 = 0. Let b(d) = 1 - d - d - g + 4*d**2. What is b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-3)*(-19)\/(266\/63)*3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0 + 1\/30*h**5 + 0*h**3 + 70*h**2 - 1\/120*h**6 + 0*h + 1\/8*h**4. Factor x(i).\nAnswer: -i*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43 + -2 - 4 - 7. Calculate the greatest common factor of 115 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 0 - 1 + p**2 + 4*p - 5*p. Let i(g) = 3*g**2 + 2*g - 2. Let s(x) = -2*f(x) + i(x). Let n(a) = -10*a**2. Give n(s(b)).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 + 5. Let o be s(-5). Suppose -o*f + 0*f = 25. Sort 3, 1, f in descending order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11805*l - 3 - 1169*l**4 + 1125*l**4 - 11770*l to the form t*l + a + p*l**2 + h*l**4 + c*l**3 and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22178268 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 61*w - 131. What is i(-2)?\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 (base 12) in base 16?\nAnswer: 78f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**5\/7 - 40*c**4\/7 + 26*c**3\/7 + 60*c**2\/7 + 18*c\/7.\nAnswer: 2*c*(c - 3)**2*(2*c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -v + 25, -54 = -2*v - 2*m + 8. Let i = 69 - 64. Suppose 9*c = i*c + 24. What is the greatest common factor of c and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -10. Let o = w - 11. Suppose -114 - 14 = -8*g. What is the lowest common multiple of g and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11302 - -11298.6. What is the biggest value in 0, -2, 3\/8, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 70*s**2 - 160*s**2 + 52*s**2.\nAnswer: -38*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -215932, -215912, -215878, -215830, -215768?\n\"Answer: 7*s**2 - s - 215938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + a**2 - a - a**2 + a**2 + 2. Let l(t) = t**3 - 10*t**2 - 8*t - 27. Calculate the lowest common multiple of l(11) and w(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6156088778 to the power of 1\/2, to the nearest integer?\nAnswer: 78461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:07 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3796 and -1.858.\nAnswer: -2.2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39053.8741 rounded to 0 dps?\nAnswer: 39054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.009, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -18, -6, 12, 36?\n\"Answer: 3*t**2 - 3*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l**2 - 10495774*l + 7496985 = 0 for l.\nAnswer: -1499397, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23873*s*t**2 - 6*s*t - 2*s + 84*t**2 + t - 771 wrt s.\nAnswer: -23873*t**2 - 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + (26 - 5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 11*r**2 - 5*r + 4. Let h be a(5). Suppose -x = h*x. Suppose x = 3*k - 0*k - 96. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/18)\/((-72)\/54)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320646, -320649, -320666, -320703, -320766, -320861, -320994, -321171?\nAnswer: -321398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-5)\/((-875)\/(-15))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 14, 4, -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 2}. Give prob of sequence gu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -2, -10, -11\/6, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 10*j**2 + 14*j + 24. Let q be g(-10). Let n = -104 - q. Let u(p) = -p - n - 7*p**2 - 16 + 27. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 489408?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37399.97 - 37209. What is m rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 + 8352*d + 5406750 = 0. What is d?\nAnswer: -3375, -801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2728 divided by 2\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoo when three letters picked without replacement from {r: 1, h: 2, o: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -5 (c) -0.2 (d) 14 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1385, -1306, -1203, -1064, -877, -630, -311?\n\"Answer: 2*x**3 + 65*x - 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 + -16.5920861.\nAnswer: -16.4020861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**7\/560 + k**6\/40 - 11*k**5\/80 + 3*k**4\/8 - 10*k**3 - 40. Let w(l) be the third derivative of n(l). Factor w(h).\nAnswer: -3*(h - 3)*(h - 2)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*d = 14 - 0, 5*r + 6 = 4*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -407*f - 4065. Calculate the least common multiple of u(-10) and 765.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p, p - 5*p + 28 = 4*t. Suppose t = -4*x + 15. Is x at most as big as 12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 116*a = 44*a + 50500884. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 232, 391, 550?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**4\/12 - 17*d**3\/6 + 16*d**2. Let x be t(-11). Solve g = 6*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n. Suppose -q + 3 = 2*z + 5, q - 5*z + 9 = n. Let h be (-162)\/12*q\/(-6). Let f(c) = -c - 7. Calculate f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29447083.29964 - 29454623. Let s = 7540 + a. Let g = s - 0.3. Round g to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 5*t**2 + 2*t - 3. Let v be p(4). Suppose -g + 27 = -m - 0*m, m + v = 2*g. Suppose b - 21 = -2*s, -4*s - g = -3*b + 87. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 + 3 + -284 + 86.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 97?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyrryryrf. Give prob of sequence rf.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5\/100*12*5*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, 1, -70 in decreasing order.\nAnswer: 4, 1, -2, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.98 to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 + -182 - (-28 - -25).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.693962us to nanoseconds.\nAnswer: 1693.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/11*4\/6. Solve 4*z - p - 21 = 0, 0 = -2*z + w*p - 0*p + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009353192 rounded to six decimal places?\nAnswer: -0.000935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -38390, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/5, -38390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 + 8*k + 4. What is q(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (-9)\/(-6). Let q(k) = -k**3 - 17*k**2 + k - 26. Let w be q(-17). Let j = w - -43. Sort -5, 7, d, j in decreasing order.\nAnswer: 7, d, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t - 2*t + 2*t + 0*t - 4*t + 2*t - 3 + 3 - t + (3 + 2*t - 3)*(-1 + 2 - 3) + 2*t - 6*t + 3*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 70*k + 8339. Give t(56).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 1, a: 2, p: 1, x: 4, n: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*4\/((-40)\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4350, -3773, -2822, -1503, 178, 2215, 4602, 7333?\nAnswer: 10402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3091154 to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdglggdgydgnm. What is prob of sequence myl?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 4*n - 2. Let z(a) = -a**2 + 1. Let m(r) = i(r) - 2*z(r). Let h be m(6). Let y = h + -6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**4 + q**3 - q**2 + q + 1. Let s(p) = 2*p**5 - 2*p**4 + 3*p**3 - 9*p**2 + 5*p + 6. Let v(z) = -5*f(z) + s(z). Factor v(l).\nAnswer: (l - 1)*(l + 1)**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(484)\/(sqrt(11)*-2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35021753 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34.09? (a) 5 (b) 8 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*w + 104 = 4*o, 4*o - 73 = -w. Let g = 1879 + -1803. Calculate the greatest common factor of o and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(30\/(-16)))\/((-130)\/91) - 2. Let h = -6.1 - -6. What is the closest to -12 in h, 5, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 8:10 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-6)\/4)\/3)\/((-21)\/28). Which is the closest to 3\/4? (a) -3\/7 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*18\/30 + (-1781)\/(-195)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**2 - 1 + 173*s**2 + 4 + 45*s + 147*s**3.\nAnswer: 3*(s + 1)*(7*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 14*r - 37 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*d - 5*z, -2*d - 5*z + 6583 = 6608 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 1)*(-2*y**3 + 2 - 2).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mlmlmkm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 18, 14, 10, 6, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*o + 2559 - 2765 - 10834 = 0 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, 1 v, and 1 a when four letters picked without replacement from noannaqvonva?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/45 and -83\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57\/5? (a) -4 (b) -8 (c) 3.5 (d) 3\/11 (e) 0.04 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p + 2*n - 6, 3*p = n + 13. Suppose t + 3*g - 12 = 13, 66 = p*t - 5*g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.2, 1225796, -1\/6?\nAnswer: 1225796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207995.\nAnswer: 5, 7, 151, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67760 and 533610.\nAnswer: 4268880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 10*p**2 + 20*p - 12. Let d be b(-4). Let f be 5\/((-5)\/2) - -17. Let l(t) = -f + 8 + 3*t - 2*t. What is l(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 20. Give a(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-33) - 2\/6. Let o be 47*-1*(a + 2 + -2). Suppose u - o = -41. What is the second smallest value in u, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7714374 by -6.\nAnswer: 1285729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*y - 11908 = 0, -4*y + 13406 = -5*h - 16382. Let i be (-2)\/(-8) - h\/(-16). Is ((-4)\/6)\/(8\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + 3*j + 0*j + 4*j. Let g(i) be the third derivative of -i**4\/24 + i**2 + 18*i. What is d(g(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/198*76\/(342\/18)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 279\/(-315) - (3 + 18\/(-5)). Which is the nearest to -1\/3? (a) 0.3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 14*x - 17*x + 3*t, -24*t = 240 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**8*p**19)\/(p*p**(-1\/14))**(-4\/13) assuming p is positive.\nAnswer: p**(205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1e03?\nAnswer: 1dff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 3 + 2 + l - 5*l - 4. Give u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 14f?\nAnswer: -14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**6\/9 - 8*t**5\/15 + t**4 + 8*t**3 + 9*t**2 + 734. Suppose j(i) = 0. What is i?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292936 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003917 to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -48 + 66 + (-3 + -7 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*a = -14, s + 0*s = a. Suppose 4*d - s*d = 20. Is 6314\/d - (-4)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3402 + 3415. Calculate the greatest common factor of r and 6071.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**2 - 2*r - 29*r**2 - 15*r + 6*r**2 + r**3 + 28. Give n(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m - 742*m + 2132 - 40026 - 26706 = 0 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 269352562 divided by -2?\nAnswer: -134676281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -672, -671, -670, -669, -668, -667?\n\"Answer: w - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 74. Let m = 74 + -62. Let n(a) = -m*a + 6*a + 0*a + 1 + 0*a. What is n(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.454, 5\/3, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 166, 382, 684, 1072, 1546?\n\"Answer: 43*q**2 + q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5230225 (base 6) to base 5\nAnswer: 31042214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595450.8ml in litres?\nAnswer: 595.4508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**5\/20 + o**4\/12 - o**3\/3 - 10*o**2 - 8*o + 2. Let k(r) be the first derivative of z(r). List the prime factors of k(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 939*g + 14104. Determine m(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1383791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3866 + 3797. Suppose 126 - 1341 = 5*p - 5*d, 5*d + 273 = -p. Let j = t - p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 62\/2893861?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 35 = 4*s, -4*z + 3*z = 3*s - 28. Suppose 0 = -2*x - 3 + s. Let v(l) = -7*l + 9*l - x + 3. Let i(p) = -2*p**2. Calculate i(v(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472169 = -d + 3*m, -d + 6*m + 472153 = 11*m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176003652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 84*a + 8463 = -14*a. Solve -20 = 88*y - a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 + 453. Suppose a = -3*a + g. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/32*-4*54\/(-2). Let q be (-9)\/l + 40\/48. What is the second biggest value in 1.1, -2\/3, q, 3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 145. Suppose -4*m + h*r = -0*m + 283212, 5*m = -3*r - 353988. What is m rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l)**29*(l\/(l\/l**(-4\/5)))**(1\/16) assuming l is positive.\nAnswer: l**(-581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -487915*f**3*i**3 - 116*f**2*i**3 + 3*f**2*i**2 - f*i + 349*f wrt f?\nAnswer: -2927490*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.51 (b) -0.5 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + ((sqrt(2420) - -1*sqrt(2420)) + sqrt(2420) - sqrt(2420)))\/((sqrt(12)*4)\/sqrt(3)) + -1.\nAnswer: -1 + 23*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72170783 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6398?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/3 - 2\/(-3). Suppose 5*x = v + y, -x = -3*v + 4*x - 1. Calculate the highest common divisor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from ndintysi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 539 by -105.\nAnswer: -77\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(11\/3)*(i**(-1\/2))**(-2\/7))**27 assuming i is positive.\nAnswer: i**(258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -20599, 0, 5.\nAnswer: -20599, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 57, -3, 1\/146?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-6.525\nAnswer: -6.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/20167 and -31\/4429?\nAnswer: 2077201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 1071?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**2*u*y*z**2 - 2*s**2*u*y + 3*s**2*u + 2*s*u*z - 7*s*y*z**2 - 4*s*y - 2*u*z wrt z?\nAnswer: -6*s**2*u*y - 14*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/27? (a) 13 (b) 1\/3 (c) -5 (d) -0.5 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.4 - -128. Round u to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1183762000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002197673242 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/15816869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 + -145. Suppose -2*j + r*b - 8 + 32 = 0, -4*j - 2*b + 18 = 0. Calculate the greatest common divisor of 246 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/1594 - 2128155\/17534. Which is bigger: -122 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.94 - 0.54. Which is the third biggest value? (a) 2\/3 (b) i (c) 2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1 + sqrt(1584))*6 - sqrt(1584) - sqrt(1584) - sqrt(1584)) + sqrt(1584) - (sqrt(1584) + 0 + -2)) + 0)**2 - 4*(-2 + 1 + sqrt(22)\/sqrt(2) + 0).\nAnswer: 572*sqrt(11) + 14324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3051?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -605 - -633. Is 44\/33*22029\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 21*s**2 + 1814 - 1814)*(-11*s**2 - 3*s**3 + 11*s**2).\nAnswer: -63*s**5 + 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.176, -0.0425, -1?\nAnswer: -0.0425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64069166?\nAnswer: 2, 7, 173, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551313 and 3591.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d - 1446 = 88*d + n, -5*d + 2*n = -3612. What is the remainder when 722 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 11*i**3\/3 - 6*i + 5. Let s be b(2). Let f = -30 + s. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128047.264 rounded to the nearest ten?\nAnswer: -128050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-4 - -4) - 1. Put 2\/7, d, 0.1 in descending order.\nAnswer: 2\/7, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:11 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1960 or 1378?\nAnswer: 1960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123001 (base 7) to base 14.\nAnswer: 8371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p, -2*q = 29*p - 31*p - 12. Solve -5*a - 4*w + 14 = -3*a, -4*a = q*w - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62466 - 348372884\/5577. Let r = s + 273289\/44616. Calculate the common denominator of r and (-2)\/6 - 82\/60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33568, 71633, 114194, 161251, 212804, 268853?\n\"Answer: 2248*x**2 + 31321*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*a + 56*a + 113*a + (3*a + 4*a - 5*a)*(3 - 3 + 2)*(-2 - 3 + 4) + a - a - 3*a.\nAnswer: 134*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11125 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i - 24 - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**23))\/(x\/(x\/x**14*x*x*x)) assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 69452*f + 277872.\nAnswer: -4*(f - 4)*(f + 17367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 3*a**3 - a**3)*(-2*a**2 + 0*a**2 - 4*a**2).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 + 5 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -553, -557, -561, -565, -569?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 378267747*v**2. Let r(b) = -b. Give r(g(i)).\nAnswer: -378267747*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78432*w**2 + 7*w + 761 wrt w?\nAnswer: -156864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/17*k**2 + 7016\/17*k + 936\/17.\nAnswer: -2*(k - 234)*(15*k + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - 7*i**2\/2 + 25*i\/4 - 3.\nAnswer: (i - 12)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.73 and -238.624?\nAnswer: 241.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 30 - 15 = 0. Solve -j*v + 1 = 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -3*s**5\/20 - 239*s**4\/12 + 205*s**3\/2 - 95*s - 5. What is the second derivative of r(j) wrt j?\nAnswer: -18*j - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 29b8?\nAnswer: 29b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbhmmbmbbhmmbhm. Give prob of picking 1 h and 3 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/14 - 4\/(-14). Suppose -j = -4*h - 12 - 11, 5*h + 31 = 2*j. Let o be 85\/1785 - 2098\/(-42). Solve s = 5, -2*t = j*t + z*s - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 177096517 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -17*l - 0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4782, -4780, -4778, -4776, -4774?\nAnswer: -4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o)\/o**(-1\/3)*(o\/((o*o\/(o*((o\/(o*o\/(o\/((o\/o**(-4\/5))\/o))))\/o)\/o)*o)\/o))\/(o\/((o*o*(o**(-5)*o*o)\/o*o)\/o)) assuming o is positive.\nAnswer: o**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*d + 0 + (-3*d + 5*d - 3*d)*(1 + 1 + 1) + (-3 + 0 + 7)*(2*d - d + 3*d) - 6*d - 3*d + 5*d to y + o*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6530\/23 - 284. Let x(p) = p - 1. Let s be x(5). Let z = 3 - s. What is the nearest to 0 in k, z, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/4325 - -191369\/14333050. What is the common denominator of -61\/8 and g?\nAnswer: 13256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 + 5*i + 17. Is s(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 3\/12. Let m = -9296 + 9296. Factor -1\/4*g**2 - l*g + m.\nAnswer: -g*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:09 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(891))**2 + (sqrt(891) + sqrt(891)*-2 + 2)**2.\nAnswer: -16925 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 9*j + 9. What is a(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - -14 - 8 - -11 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/4 + 47\/12. Let v be 55\/(-88)*56\/6 + 5. Which is the biggest value? (a) -1\/19 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 691620, 1382256, 2072892, 2763528?\n\"Answer: 690636*d + 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 6. Let c be q(-6). Let n(s) = -8*s**2 + 5*s + 3. Let o be n(-1). Are c and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3072532, -3072530, -3072528, -3072526, -3072524?\nAnswer: -3072522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308208356 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -84, 2\/13, -0.05, 1\/31, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-10) + (-24)\/60. Let v be (0 - 0)\/(-4 - r). Suppose v = -4*c + 194 + 54. Is c a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-9)\/63 + 2354\/14)*1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -30.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212*r**3 + 98*r**3 - 56*r**3)*(-1 + 1 - 3) + 5*r**3 - 3*r**3 - r**3.\nAnswer: -761*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/204 + 94\/799.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 45*p + 123. Is 25 a factor of t(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/10 + (-2)\/4. Let f be 4 + -2 + (-15)\/s. Suppose -f*x + 75 = -2*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46960*a**2*l + 69*a - 2*l + 32582132 wrt a.\nAnswer: -93920*a*l + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 8*u**2 + 3*u + 10. Let w(f) be the second derivative of -f**5\/20 - f**4\/3 - f**3\/3 - 2*f**2 - 2*f. Let q be w(-3). Is 14 a factor of o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7 + 16*w**2 - 13*w - 11 - 29 - w**3. Let g be y(15). Let u(h) = h**2 + 1. Let d(x) = 3*x**3 + 3*x**2 + 3. Calculate g*u(k) + d(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*2 - (-1*sqrt(121) + sqrt(121))*5)\/(sqrt(396) - (sqrt(396) - -1*sqrt(396)) - -2*(sqrt(22)\/sqrt(2) - sqrt(11))) + -1.\nAnswer: -1 + 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*p**2 - 255*p**3 + 103*p**2.\nAnswer: -255*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s\/(s*s**6))\/s*s*s)\/s**(-2\/15)*((s\/s**(-2\/3))\/s)**(-28) assuming s is positive.\nAnswer: s**(-323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12064 and 192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((264\/99)\/(24\/(-36)))\/(-194).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154271627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2285350, -4570643, -6855936?\nAnswer: -9141229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5\/2 - 151*n**4\/2 - 435*n**3.\nAnswer: -n**3*(n + 6)*(n + 145)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 32*q**2 - 2*q - 29. Let n be j(-16). What is the greatest common factor of 39 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -15312171?\nAnswer: 15312174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17753 + -12591. Calculate the highest common factor of c and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -0.2 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231237978?\nAnswer: 2, 3, 17, 593, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - 3*v**3)*(-34 - 23 + 44).\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 6*u**4 - 3*u**4 - 3*u**3 + u**2 - 5*u**2 in the form g*u**3 + k*u**2 + w*u**4 + v + t*u and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029209 rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001647765 rounded to 7 decimal places?\nAnswer: -0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38544 - 23016?\nAnswer: -61560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 - 5 = 0. Suppose -x = -2*v + 8. Suppose 0 = 5*y - v. Solve -t + y = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 4*u**2 + 6*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(5\/3)*w*w*w\/w**(-4)*w*w**3\/w*w**7 assuming w is positive.\nAnswer: w**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*h + 9*h = 324. Solve -25*g = 23 + h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**3 + 9*t**3 - 42*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 6:30 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8468 - -3700503\/437. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 3\/10237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727639.9 decades to years.\nAnswer: 7276399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (47\/2)\/(19\/38). Suppose -i*u + 42*u - 7 = -3*y, -y = 3*u - 7. Let g(z) = -z - 4. Let h be g(-5). What is the highest common factor of h and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 11) + (7 - -26) + -22.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -21 (c) 0 (d) 0.017 (e) -0.11 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:01 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ddf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3 - 4. What are the prime factors of s + (-1)\/((-2)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 15 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.6954 kilograms to micrograms.\nAnswer: 217695400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:40 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220312401 - 313?\nAnswer: 220312033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69.05 and 0.1.\nAnswer: -6.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 7*g**4\/6 + 7*g**2\/2 - 11*g. Find the first derivative of b(i) wrt i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t**2 - 385*t - 1743. Let y(j) = -5*j**2 + 193*j + 864. Let l(v) = -4*q(v) - 9*y(v). Factor l(f).\nAnswer: (f - 201)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + g. Let s(i) = -2*i**2 + 4*i + 1. Calculate 7*r(x) - 2*s(x).\nAnswer: -3*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1339*i**3*p**4 + 19*i**3*p**2 - 173881*i**3*p - 90360*p**4 wrt p?\nAnswer: 32136*i**3*p - 2168640*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.22 and -253?\nAnswer: 253.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 2. Suppose -12 - 12 = -8*c. Let o(n) = 7*n + 6. Determine c*o(x) + 8*z(x).\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -1 + sqrt(17)) + (-4*sqrt(153)*-2)\/sqrt(9).\nAnswer: -15 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwwwwwbwwwwwb. Give prob of picking 1 b and 3 w.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8427 + 3242. Suppose -h - b = 7467, 37362 = -5*h + 5*b - b. Let g = k - h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 10) in base 3?\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 - 236061462*c**4 + 146*c**2 + 2146*c + 213 wrt c?\nAnswer: 120*c**2 - 5665475088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639901608 to the power of 1\/3, to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17.001 - 7333878\nAnswer: -7333895.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -6, 0.1, 1, 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -41 in decreasing order.\nAnswer: 9, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.5\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:19 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -101220122202?\nAnswer: -101220122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*p - 111, 4*p + 31 - 114 = -3*m. Let t(h) = -h + 600. Let o be t(0). Does 9 divide o\/m + (-6)\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -23*z**2. Let y(c) be the third derivative of c**4\/24 + 2*c**2. Determine f(y(s)).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 20*g + 49. Let u be c(-1). Sort 5, u, 2, -2.\nAnswer: -2, 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39475098*p**2*z + 66564*p*z + p - 69*z wrt p?\nAnswer: 78950196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (11 - 3) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/16685, -12, 5?\nAnswer: 11\/16685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2132705 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**3 + 30*f**2 - 225*f - 250 = 0?\nAnswer: -10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/6 + 5*u\/3 + 25\/2 = 0?\nAnswer: -5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 + 0 = 0. Suppose 2*z - p = 6. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*6\/(-45))\/((-13)\/(-260))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 5*c**2 - 5*c**2 + 6070*c - 6070*c - 77*c**2 + (-4*c + c + 4*c)*(-5*c + 3*c + 0*c) in the form f*c + b*c**2 + p and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.699 + 14.699. Which is the nearest to 2\/23? (a) -2 (b) -1\/2 (c) -4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176822859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1993 + 3774. What is the remainder when i is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*l + 157*l - 1935 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**3 + 42*y**2 + 5719. Let c(t) = 9*t**2. What is d(c(z))?\nAnswer: 243*z**4 + 756*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-39) - (9 - 10224\/1144).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1226563\/147 - 8344. Do d and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 149.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 - 265*g + 1362. Calculate r(5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8 + 8. What is the closest to -1 in m, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -644, -34, 0.04, -1, -17\/2 in increasing order.\nAnswer: -644, -34, -17\/2, -1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 8. Let k be (-3)\/(1*-2*22\/(-176)). Let x be ((-27)\/k + -3)*40\/(-24). Put g, x, 2\/5, 13 in decreasing order.\nAnswer: 13, g, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2491 - 2491.001477. Round m to 5 decimal places.\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1292?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*-2*(1 - (-15)\/(-10)). Let b be (-1)\/7 + x\/(-126). Put b, -0.5, 0.2, -0.2 in descending order.\nAnswer: 0.2, -0.2, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369\/4 - -90. Let d = c - -71\/28. Sort 2, d, 1 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 123162?\nAnswer: -123163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {y: 1, u: 3, s: 3, r: 2, d: 1, e: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -395388 < -395388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - r = 16, -17*r + 34 = -3*b - 21*r for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 2. Let n = -43 + 85. Suppose -62 = -3*o - 2*i, -n = 2*o - 5*o + 3*i. What is the smallest common multiple of o and m(-6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996336312 a multiple of 9038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/14*-18*(-240)\/90?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakaaaaaaaaua. Give prob of picking 2 a and 1 k.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, 3, -223, 5?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 7)*(0 - 1). Let w = o + 0. Is w greater than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-18)*(-893)\/((-45676950)\/(-900))?\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 11:01 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316498 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, f: 2, m: 1, c: 2, u: 1, n: 2}. What is prob of picking 1 f, 1 m, and 1 n?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 16. Let t(x) = -9*x + 2925. What is k(t(d))?\nAnswer: 27*d - 8759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 672 + -675. What is the nearest to r in 2\/13, 1\/5, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103802635 divided by 6\nAnswer: -103802635\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -66494\/275 less than -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 1645.\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 11 = -a, 5*a - 12 = -4*z + a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6 + 13*x**2 + x**2 + 22*x**2 - 2*x + 2. What is the tens digit of d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**4\/6 - 43*r**3\/6 - 2*r**2. Let o = 13 - 9. Calculate the remainder when i(12) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3212\/140 - ((-3)\/(-5))\/((-5607)\/534).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h**(-2)\/h))*h)**(2\/57))**(1\/7) assuming h is positive.\nAnswer: h**(-2\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173904?\nAnswer: 2, 3, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-393)\/(-12))\/(2\/8). Let w = l - -141. Suppose -3*i - 4*j - 17 = -4*i, -2*i + 5*j + w = 0. Is i != -1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 10*d**2 + 9*d + 3. Let a be h(9). Suppose a*t - 4*i = -11 + 31, -t + 2*i = -4. Solve 2*u = -2*u + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.9 + 16. Let n = 9\/13 + -7\/13. Let t = 5\/3 + -2. What is the nearest to t in -0.1, u, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 + 8*q**2 - 10*q - 55. What are the prime factors of w(-28)?\nAnswer: 72353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655849710 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 837 + 1115. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (1 + 10 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r - 15 + 15)*(27*r**4 - 99*r**4 + 40*r**4).\nAnswer: 544*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5*b + 20*b**2 + 4 + b**4 - 8*b**2 - 32*b**2 - 22*b**2 + b**3 in the form t*b + o*b**3 + d*b**4 + i + n*b**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184937 and 2138?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 32. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-4 - ((-7782)\/16861 - 20426\/1768).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*q, -x + 33 - 37 = -q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66083.\nAnswer: 66083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 4. Solve -3*f - x*c + 19 - 2 = 0, c - 19 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 - 614 = -2*f - 5*k, k + 16 = -4*f + 4*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -52*a**2 - 2*a - 2. Let u be x(-2). Let t = -751 + u. What is the hundreds digit of t\/(-9) + (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 4. Suppose -z = -5*z + 24. Let a be g(z). Suppose -3*s - 6 = -s. Put a, s, 1 in increasing order.\nAnswer: s, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (7 - -2)\/(30904\/3432). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.7 - 6.7. Which is the third biggest value? (a) v (b) 3\/16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 2. Let b(w) = w + 4. Let j(h) = b(h) - 2*t(h). Let a(v) = 309*v**2. Give a(j(f)).\nAnswer: 309*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(650) + sqrt(650) + 2*sqrt(650)) - 2*sqrt(650)*6)\/((sqrt(216)\/(sqrt(36)\/sqrt(3) + sqrt(12)))\/(sqrt(108)\/sqrt(3))))**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 85 + 51. Calculate the remainder when r is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 1, z: 4, a: 1}. What is prob of picking 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113\/112 + -33049\/1008. Let y = -32 - n. Are y and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9674 divided by -6\nAnswer: -4837\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31991386*m**4 + 3*m**3 + 2*m + 57190063.\nAnswer: -383896632*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5975 and 53482703?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4136)\/(-18) - (-4)\/18. Suppose -6*f - 97 = 629. Let k = m + f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2508, -8653, -18896, -33237, -51676, -74213?\nAnswer: -100848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 1. Let b(u) = -2*u - 12. Determine -b(c) - 4*q(c).\nAnswer: -2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -191, -156?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105662527 to the nearest integer?\nAnswer: 10279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:37 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*z + 12, 0 = 7*x - 5*x + 4*z - 4. Calculate the lowest common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 4. Determine m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.931302ng?\nAnswer: 0.000000000001931302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828764 is divided by 2853.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - 2 - (486 + -480)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*w - 2963 + 7624 + 675 = -14444 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5\/9 + 40*m**4\/3 + 160*m**3\/3 - 6080*m**2\/9 + 1600*m - 1152.\nAnswer: 4*(m - 2)**3*(m + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 1\/4*c**3 - 1\/2*c**4 + 0*c**2 - 1\/4*c**5 + 0 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + i**2 - 3*i**3 + i - 2*i**2 + 2*i as o*i + g*i**2 + r + p*i**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 687589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8713676980 and -262?\nAnswer: 8713676718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -225, 2\/3, -34 in decreasing order.\nAnswer: 2\/3, -34, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**5 + 1794620*y**4 - 12179881*y?\nAnswer: -100*y**3 + 21535440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**27)\/(w\/(w**(-2\/65)\/w*w)*w)*(w\/(w*w*w**(3\/4)*w))\/(w\/(w\/(w\/w**16))) assuming w is positive.\nAnswer: w**(-4103\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 y when three letters picked without replacement from {y: 6, k: 8, p: 1, n: 1, z: 1}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - sqrt(44)\/sqrt(4)*6) + 0 + sqrt(1100).\nAnswer: 2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2348499*u**3 - 19275503*u**2 wrt u.\nAnswer: -14090994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + -1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -a5004?\nAnswer: -a4eea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 12*n**2 + 37*n + 906. Let c be v(-14). Let h be (-34)\/(-6) - (-2)\/(-3). Suppose 4*q - 4*s = -q - 13, 3*s - 2 = -4*q. Sort c, h, q.\nAnswer: c, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 + 15*p - 3. Let t be b(7). Let w(a) = -20*a**2 + 11*a + 11. Let v(s) = 4*s**2 - 2*s - 2. Give t*w(i) + 22*v(i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 3, -4, -1, 70430 in decreasing order.\nAnswer: 70430, 3, 0, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602 at most as big as 2513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/20)\/((-21)\/882) and -32\/131.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:30 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y + 33. Determine v(-8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, n: 8, u: 1, z: 6, t: 2}. What is prob of sequence tult?\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {r: 5, o: 7, t: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1054104 + -12004?\nAnswer: -1110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*q**4 - 2*o*q - 3*o - 2*q**5 - 71*q**3 + 49 wrt q.\nAnswer: -12*o*q**2 - 40*q**3 - 426*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1293 or 1290?\nAnswer: 1290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*t = -314*t + 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12047000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/3 - 52*o**3\/3 + 128*o**2 - 192*o.\nAnswer: 2*o*(o - 12)**2*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3533*f + 9*f**3 + 3533*f.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2837211326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16\/5 - -92\/35. Suppose -5*t + 18 = 2*f, -4 = -0*t + t. Suppose 0 = q + 4*d + 4 + f, -d = 5. Put q, i, 2\/3 in descending order.\nAnswer: 2\/3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3269 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*s + 5*s. Is 52 - 6\/(-2)*s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 + 17*x**3 - 1 - 3*x**4 - 20*x**3 + 2*x**4 to k*x**4 + t*x**3 + y + c*x + q*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68467241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bd8cd + -6?\nAnswer: 2bd8c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -5*d. Let w be 0\/(-4)*6\/(-18). Is d less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (650\/1625)\/(3\/((-225)\/(-11))). What is the biggest value in j, -4, 2\/43?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -932, 9, -15\/163 in descending order.\nAnswer: 9, -15\/163, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 3:39 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x + 513. Let r(t) = 7*t - 342. Calculate -5*k(l) - 8*r(l).\nAnswer: 4*l + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-170))\/((-1950)\/(-3250)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/27*12\/(-70)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/3, 11, -62\/3, 0.4, -1, 100\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 398 = 4*b - 0*b, 6 = -3*d. Suppose b = 2*x - 2*y, y = -2*x + 6*y + 85. Let h = x + -35. What is the least common multiple of 12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 divided by -1?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b)**11*(b**0)**(-38) assuming b is positive.\nAnswer: b**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 61 + (10 - 21 - -20).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-6)\/52*(-18)\/27). Suppose 4*v + d = 3*j, -12 - 3 = -2*j - v. Calculate the least common multiple of (-37)\/(-4) - 1\/4 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-16)*-4)\/((-1036)\/(-370))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.5, -1\/3, 2\/33 in descending order.\nAnswer: 0.5, 2\/13, 2\/33, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 1. Let h(c) = -c + 0*c - c**2 + 7*c**2 - 1 - 7*c**2. Let d be 1 - 4 - 0 - (-108)\/6. Let b = -17 + d. Calculate b*h(n) + 4*t(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/2 - 1\/10. Which is the closest to 0.1? (a) -0.06 (b) f (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0*a - a + 5 + 0*a. Let v be 6\/3 + 0 + 19. Let t = -16 + v. What is u(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53807427 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 + 130 = 0. Let k = 155 - y. What is the least common multiple of k and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose 5*u = -i*j + 3*j, j + 5 = 0. Is u + (1 - -2) - -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157 and 19939.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*s + 1536 - 124 = -81*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h. Suppose -5*t - 2*d = -68, 4*t = -2*d + 56 - h. What is the least common multiple of 16 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6081*i + 1. Let l(f) = 7908*f**2. Give c(l(d)).\nAnswer: 48088548*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -983.13368 to the nearest integer.\nAnswer: -983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39632798 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 16 = -4*s, 124*s + 32 = 4*b + 122*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -109*j - 20*j - 4797 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u + 8. Let c(b) = b - 4. Let p be c(4). Let k be l(p). Let f = k + -5. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 16*x**2 + 40*x - 67. Determine m(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 11*m**2 - 11*m + 1. What is the units digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*j**2*z**4 - 71613*j**2 - 4*j*z**3 + 443*z**4 + 3*z**2 wrt z.\nAnswer: -336*j**2*z - 24*j + 10632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4605188, 9210373, 13815560, 18420749?\n\"Answer: w**2 + 4605182*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6300*g + 27*g**2 + 0 + 12615*g - 6315*g.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 97. Let f = k - -87. Solve -3*m - m = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 2*l - 6. Let w(p) = 3*p + 136. Let j be w(-46). Give b(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*a + 5348 = -1576*a - 39758 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 + 1916*f**2 - 21520*f + 19600 = 0. Calculate f.\nAnswer: -490, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-2\/13)*b)\/b)*b)\/b)**26*b**(-2\/7)\/(b*b*b**(-1\/22)) assuming b is positive.\nAnswer: b**(4275\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -443 + 908. List the prime factors of y.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 - 22*c**2 + 50*c - 176. Determine l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.09 smaller than 1909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 37396, 69 in decreasing order.\nAnswer: 37396, 69, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p - 22. Let b be o(-2). Put 5, 1, -4, b in descending order.\nAnswer: 5, b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*i - 2 + 16, -2*w + 18 = 4*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2418, -2367, -2316, -2265, -2214, -2163?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2967 - 1968. Let n(g) = -5*g + 28. Let a be n(2). Calculate the remainder when 2\/3*j\/a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148166242 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -797.68 plus 0.433596?\nAnswer: -797.246404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 784*d - 14896. What is z(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 116908.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*p - 2 = -9, 10 = -5*a + 5*p. Let h(w) = -3*w + 1. Let u be h(7). What are the prime factors of (a + -20)\/(15\/u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/10)\/q*(q*q**17)\/q assuming q is positive.\nAnswer: q**(157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 65090708 - 0.34\nAnswer: 65090707.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513 + 1801?\nAnswer: 9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 125?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1910 divided by -5\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 7*j + 1. Let i be w(5). Suppose 0*k - 3*k = -3*n - 354, -3*k + 369 = 2*n. What is the greatest common divisor of i and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1373, -9, 5, 44, -5 in increasing order.\nAnswer: -1373, -9, -5, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 52*c = 0. Factor 2\/3*q**2 + 4\/3*q - 2\/3*q**4 - 4\/3*q**3 + c.\nAnswer: -2*q*(q - 1)*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Give v(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6817 + 4188. Let h = 3902 + g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -33 + -3 + 17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29378*s + 29390*s = 132 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - n + 7 = 2*b, -3*n = -9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 2 + b**3 + b**2 + 6*b**2 + 0*b**2 - 3*b**2 to h*b**2 + m*b**3 + y + u*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144100.9 rounded to the nearest 100?\nAnswer: 144100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -60229\/11, -18, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllflllflfll.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 681248?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 548139985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (32 + -21 + 0 - 27)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -841*d**2 + 472*d + 473*d - 946*d to u*d + j*d**2 + w and give j.\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31255 is divided by 9349?\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4*x**3 - 4. Let w be j(1). Find the common denominator of -17\/18 and 615\/36 + (-4)\/w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001313 to 5 dps.\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5380759000 to the nearest one million.\nAnswer: -5381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -917703, -1835334, -2752965, -3670596, -4588227?\nAnswer: -5505858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9*y + 10. Let z(k) = -7*k + 9. Let r be z(y). Let v be ((-2)\/(-6))\/(5\/10). Put v, r, 0.2, -3\/2 in decreasing order.\nAnswer: v, 0.2, -3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 65*k**2 - 1011*k + 88. Calculate z(-39).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - f**2 - 29*f - 17. Let y be s(7). What is the greatest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 32?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17 + -14 - 2) + 1030 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) - 237\/(-12). Let r = l - 14. Suppose 3*m = 8 + 22. Calculate the remainder when m is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2\/2 - 5. Let w(k) = -10*k. Determine o(w(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.038 - 98.962. Let o = f + 89.4. Let w = 9.9 + o. Which is the fourth biggest value? (a) 1\/7 (b) -0.2 (c) 1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(119)\/(sqrt(21)\/sqrt(3)) + -4)**2 - sqrt(187)\/(2*sqrt(99) - sqrt(99))) + -5.\nAnswer: -25*sqrt(17)\/3 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 18 = -2*z, 4*z = 3*z + l - 1. Suppose -4*x - 56 = -k + 24, -z*k - 2*x = -198. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -57. What is the tens digit of (-1*1*-2*67)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561*m - 566*m = -40. Calculate the remainder when m is divided by 0 - (8\/(-4) - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 - 2. Let y be r(-4). Let h(k) = -4*k**3 + 2*k**2 - k - 2. What is the units digit of h(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.35724 and -599669214.\nAnswer: -599669213.64276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 8. Let n be 1\/(-4) + 1\/y. Let m be 0 + (-9)\/6 + 1. Is m less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 55. Let i be w(-8). Let m = 129 + i. What is the smallest common multiple of m and 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.5 (c) -938 (d) 1 (e) 5 (f) 1\/10 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 2\/(2\/(-5)). Suppose -6*z + 7 = 4*k - z, n*k = z + 13. Solve -k*j + 5*h = 8, -j + 2*h + 12 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 67, 119, 193, 295, 431, 607, 829?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2 - 12*c - 36. Let s be q(-7). Let x be (-1 - (-1)\/2)\/((-2)\/s). Let d = x - -204. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/3 (b) -2\/11 (c) -1 (d) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 170. Let w be z(0). Suppose -w = -8*k + 334. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -107, -160, -215?\n\"Answer: -l**2 - 48*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*d = -969*d + 240 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12712717*m**2 - 14022042 with respect to m.\nAnswer: -25425434*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 - 47918*o + 47918*o.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + 0.087?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38447, 4\/9, 5 in ascending order.\nAnswer: 4\/9, 5, 38447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(1700) + -1 + (-6*sqrt(153)*1)\/(sqrt(36)\/sqrt(64)))**2.\nAnswer: 112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 4*k. Let y be b(3). What is the derivative of 2 - 3*z + y*z + 0*z wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64715943.\nAnswer: 3, 431, 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5561587, 11123173, 16684759, 22246345, 27807931?\nAnswer: 33369517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + (-8 - (53 + -73)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -1.6, 7, 0.4, -0.5 in increasing order.\nAnswer: -32, -1.6, -0.5, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(128) + -2 + (-1 + sqrt(64)\/sqrt(2))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 3. Let p(d) = -4*d + 12. Let w(j) = -22*o(j) - 6*p(j). Let h(l) be the second derivative of -l**3\/6 + l**2\/2 - 4*l + 11. Calculate 6*h(c) + w(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:09 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 o when four letters picked without replacement from jjjjjjjjjjojjjjjjo.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f = 148*f + 4 - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 58*v + 2. Let q be n(-29). Solve -4*p - 2*c = -2, 3*p - q*c = -3*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8024 + -3314. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.314605 years in millennia?\nAnswer: 0.007314605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - 1.6. Let o = 0.147 + -0.147. Which is the third biggest value? (a) o (b) w (c) 4 (d) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let j(v) be the second derivative of 2*v**3\/3 + 10*v**2 - 9*v. Let a be j(-6). Let y(z) = 6*z + 4. Let l = -6 - -5. Give a*n(u) + l*y(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/224)\/((-9)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/35)\/((-2)\/5). Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10228 is divided by 1080.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9886791*h**3 - 23267265 wrt h.\nAnswer: -29660373*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.14.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 4, e: 2}. Give prob of picking 1 e and 1 s.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*d + 14, 4*d + 52 - 45 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3892044 is divided by 4176.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561 = -12*m + 1641. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9 + -7.74. Let k = d - 0.16. Sort 3, 4\/5, k in increasing order.\nAnswer: k, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 14*u**2 + 9*u + 10. Let k be n(-15). Let y be ((-2)\/4)\/((-3)\/150). Calculate the highest common factor of k and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339113 - 176472. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:23 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8\/3 (b) -0.05 (c) 1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4320 + -4275.62. Let u = w - 0.38. Let c = u - 43.9981. What is c rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 4114.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2458*a**2 + 3*a + 2455*a**2 - 4911*a**2.\nAnswer: 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -32. What is the closest to 1 in 4, g, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23947 is divided by 393.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:58 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163880*f + 163992*f + 5264 = 0 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912765147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 27 - 99 - 37 - 9*t**2 + 2*t**3 + 8*t**2 as q*t**2 + v*t**3 + w*t + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-3 + 3 + 1)*(16*w**2 + 12*w**2 - 8*w**2).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 7*q**2 + 2*q + 10. Let d be f(-7). Let n = 341\/15 + -70\/3. Put d, n, 2 in descending order.\nAnswer: 2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*22\/(-26) + -1. Let x(n) = n**3 - 6*n**2 + 2*n - 9. Let r be x(6). Let t = 2.12 + -0.12. Which is the nearest to t? (a) r (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba8 (base 16) to base 5\nAnswer: -43414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/665 - 156\/(-38) - -14452. Calculate the greatest common divisor of 52 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -6, -2, -3, -0.1, -1.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-8 - -7 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3180 - -5236. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 1\/12*g**4 - 4*g + 0*g**3 + 0*g**2 - 1. Let n(b) = 6*b**2 - 11*b. Determine n(y(u)).\nAnswer: 6*u**4 - 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 13*w - 19. Does 7 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 546*o + 2730. Let l be c(5). Solve 0 = -198*m + l*m - 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 492.0134 + -492. Let x = -4.0134 + m. Which is the biggest value? (a) 0.3 (b) -0.3 (c) x (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190214?\nAnswer: 2, 95107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168442409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3628971 + 0.05.\nAnswer: 3628971.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 793 - 782. Suppose b*s = 4866 + 4418. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 9:37 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f - 4*f**2 - 3 + 3*f**2 + 7. Let o be l(-6). Suppose 7*j - 2*j = -2*d + 8, 0 = j + o. Calculate the remainder when 26 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40152148?\nAnswer: 2, 2689, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 7, c: 1, r: 1}. Give prob of picking 1 o and 1 r.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:49 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*v + 64, 3*h = -0*h + v + 160. Suppose 0 = 12*m + m - h. What is the second derivative of 56*i**4 - 117*i**4 + 48*i**m - i wrt i?\nAnswer: -156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6740 + -4364. Is 72 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.98*-9.1.\nAnswer: 54.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -288*y**2. Let q(k) = 16*k. Calculate j(q(d)).\nAnswer: -73728*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) -10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffv when three letters picked without replacement from vfvffvvffv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 2. Determine w(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (355*r**2 - 1675 + 1675)*(-4 - 3*r + 2 + 3).\nAnswer: -1065*r**3 + 355*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.01 - 5.01. Let n be (-38)\/8 + 1\/(-4). Let x be (-1)\/3*3*n. Sort a, x, -3 in descending order.\nAnswer: x, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b - 5 + 2*b + 1 + 3.\nAnswer: 14*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 + -223. What are the prime factors of u\/(-4)*528\/154?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuzzzozzzzozooqoou. Give prob of picking 1 q and 1 z.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7\/(-147)*4130\/885.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/37)\/d**23 assuming d is positive.\nAnswer: d**(-849\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 + 0 + 0 + (-3 + 2*h + 3)*(4*h**3 - 3*h**3 + 0*h**3) + (-2*h**3 - h + h)*(-71*h + 15*h - 32*h).\nAnswer: 182*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.96 and 0.25455?\nAnswer: 7.117218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265319433?\nAnswer: 3, 29479937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -13, -3 in increasing order.\nAnswer: -13, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m = 60*m - 12. Let t = 6699 - 40313\/6. What is the common denominator of t and (-2 + 4)*m\/(-44)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -721, -1068, -1415, -1762?\nAnswer: -2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195798 is divided by 720?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4872462 or -1?\nAnswer: -3.4872462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2. Let a(y) = 4*y**2 - 3*y. Let d(k) = -a(k) + 5*t(k). Suppose -4*z - 3 = -31. What is the remainder when z is divided by d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872009547?\nAnswer: 67, 1709, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(132))\/sqrt(4))\/((1*sqrt(396) + sqrt(396))*3).\nAnswer: -5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(4*(-3)\/(-6)). Suppose 0 = 3*v + 3*d - 39, h = v - 5*d - 36 + 11. Calculate the lowest common multiple of v and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -379 - -269. Is -111 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)*s*s\/s**(-6\/7))\/((s\/(((s**6\/s)\/s)\/s))\/s**(-8\/5)) assuming s is positive.\nAnswer: s**(114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 134*f - 649. Determine j(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1. Let b(z) = -z - 1 + 0*z - 3 - 2. Let p(m) = -6*b(m) - 42*i(m). Let k be p(7). What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 16*y**2 - 64*y + 409. Determine h(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 769014?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - 214312 = 287436. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 13 - 1. Let h(x) = -19*x + 2*x**3 + 6*x - 5*x**2 + 11*x + 3 - 3*x**3. Give h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867 = -10*t - 455 - 452 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/(-2)*(-25)\/750). Let x(z) = z**3 - 3*z**2 + 2*z + 4. Let f be x(3). Let y = -2 + f. Solve 4*h = y*h - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*u + 69 = 0, 108*u - 69 = -3*c + 109*u. Calculate the remainder when 105 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2188480 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.735 + 0.735. What is the closest to h in -1.9, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 - (-187)\/(-21 + 32). Let z(w) be the third derivative of -14*w**2 - 1\/21*w**3 + 0*w**k + 0 + 0*w + 1\/210*w**5. Solve z(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(576) - (sqrt(576) - sqrt(576)*-2)) + sqrt(3600) + sqrt(3600)*1)\/((sqrt(48)*3)\/sqrt(4)*4).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 9*f + 3. Calculate n(-13).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 272 + 9?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/3 - 1056*v**3 - 1643648*v**2\/3 - 102727680*v - 18926796800\/3 = 0. Calculate v.\nAnswer: -640, -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 14*d = -3060. Calculate the greatest common divisor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143 (base 9) in base 5?\nAnswer: -22303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8, -2*k - 12 = -p + k. Suppose 5*l - 385 + 1290 = p. Let s = l - -398. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.14156 - -1.\nAnswer: -19.14156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/5704 and -45\/13262.\nAnswer: 37823224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k\/(k**(-6)\/k)*k))))\/k**(-7))**(-16\/7)*(k**(-2\/11)*(k**(3\/2)*k)\/k)**(-40) assuming k is positive.\nAnswer: k**(-3884\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 8. Let z(f) = -f - 4. Let h(g) = 3*y(g) + 5*z(g). Let t be h(0). What is the third derivative of 2*x**t + 2*x**2 + 0*x**2 - 3*x**2 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*p = 145*p + a + 987, 2*p - 3*a = 387. What is the smallest common multiple of p and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/20 - (-6)\/(-60). Let b(h) be the second derivative of 7*h - n*h**4 - h**3 - 3\/2*h**2 + 0. Find a such that b(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17 and 9971543?\nAnswer: 9971526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (-3 - (3 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 41. Let h be 21574\/77 - x\/22. Suppose -4*z = 2*r - h, z + 4*z = 2*r - 280. What is r rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 minutes before 7:52 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*m**2*v**2 + h*m*v + 72*h*v + 1057*m**2 + 2*m*v**2 + 2*m wrt m?\nAnswer: -2*h*v**2 + 2114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -60 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178846969 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let c = 98 - 92. Put 2, s, c in decreasing order.\nAnswer: c, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 38*r**3 + 3*r**2 - r + 9. Calculate m(2).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 162435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18198294, 36396587, 54594882, 72793179, 90991478?\nAnswer: 109189779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 7*p - 6. Let l be c(-5). Solve 3*o - l + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (-1 + 5 + (2 + sqrt(931))*-3)**2.\nAnswer: 84*sqrt(19) + 8385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*-0.4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 1. Suppose 6 = -8*p + 11*p. Suppose -r = 3*z - 0 + 1, -p = 2*r. Let d be g(z). Calculate the greatest common factor of 7 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - i - 2, -o - 13 = -3*i. Suppose -3*z = -z + o, -z = 5*c + 11. Let s be c + (11 - 1) - 0. Solve 4*r = -28 + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1198, 1194, 1188, 1180, 1170, 1158, 1144?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(-2\/7))*f**(-7)*(f**0*f)\/f*f**(1\/13) assuming f is positive.\nAnswer: f**(-656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:55 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -5*c**4\/48 + 25*c**3\/12 - 15*c**2 + 110*c. Factor a(x).\nAnswer: -5*(x - 6)*(x - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -494690505*m**2 - 84230917.\nAnswer: -989381010*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3 + 7*o - 10*o)*(-3*o - 2*o**3 + 3*o).\nAnswer: -4*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10505420 (base 6) in base 4?\nAnswer: -1032020310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 153*k**5\/5 - 7*k**4\/2 + 1917*k + 4574. Find the first derivative of r(u) wrt u.\nAnswer: 612*u**3 - 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 6 - 6 - 4*c. Let u(v) = 11*v**2. Determine s(u(d)).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92768 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/((17\/1 - 9913\/575)\/(-15))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/6 - 3371717*k - 34105426584267\/2 = 0. What is k?\nAnswer: -10115151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 6:12 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1346175400 to the nearest one million.\nAnswer: -1346000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 7*s + 14. Let q be w(8). Suppose 3*t - 5*t - q = 0. Let r = t + 155. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 11:51 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, s: 1, h: 5}. What is prob of picking 2 z and 1 h?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8*-4)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkjm when four letters picked without replacement from jkkjmjmjjm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 2, z: 2, w: 3, e: 1, x: 3}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133.07 - -135. Let l = 2 - f. Let j = -10164 - -10164.4. Which is the second smallest value? (a) l (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, 1, 46, 143, 310?\n\"Answer: 3*y**3 - y**2 - 7*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-312*10)\/(24\/22200*(-4 + 2)). What is w rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41874, -41617, -41358, -41097, -40834, -40569, -40302?\n\"Answer: x**2 + 254*x - 42129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 629468 and 629468?\nAnswer: 629468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/6 + 2925*i + 968275\/6 = 0. What is i?\nAnswer: -55, 17605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -451*h - 294*h + 18*h in the form y + r*h and give r.\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwlwwwwww. What is prob of picking 2 w and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/5 + -11\/20. Let f = -1.01 - 8.69. Let n = 4.7 + f. Which is the second biggest value? (a) n (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + -0.2. Let i = 4.00000056 + d. Round i to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -2, -4, 7, 75?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by 18.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4078 and -11.365.\nAnswer: 4.634647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2280*w + 5812*w + 420784 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:50 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 + 0*d**2 - 3*d**2 + 112 + 2*d + 288 + d**2 + 4*d**3 to x*d + v*d**2 + t + n*d**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*w + 8225 = 795*w + 780 - 3850 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -2*q + 12. Let o be 6\/q + (-10)\/5. Let u(f) = f**2 + 10*f + 9. Give u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 12*j + 3. Let x be a(6). Let b be 10\/(-8)*x\/(-15). Let h = -27\/5 - -287\/55. What is the closest to b in -0.5, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose -n*r - 2 = -3*r. Is r at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8722 - 8721.97. Which is the fourth biggest value? (a) -0.3 (b) k (c) 1 (d) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 1, -30, -95, -206, -375?\n\"Answer: -2*o**3 + o**2 + 2*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4698051.\nAnswer: 3, 43, 79, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 9*x - 21. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - p**3 - 2 - 5*p + p + 0*p**3. Let l be c(-2). Solve 9 = 5*t + 4*g - g, 0 = l*t - g + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 2, k: 1}. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719422233.\nAnswer: 19, 90495907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 368. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288428 (base 10) in base 8?\nAnswer: 1063254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 5*c**2 - 5. Let t(h) be the third derivative of -h**6\/30 - h**5\/15 + 2*h**3\/3 + 17*h**2. Determine -4*i(j) - 5*t(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/28 and -1\/441?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2488359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**3\/21 + 186*c**2\/7 - 17298*c\/7 + 110. Determine p so that j(p) = 0.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -163*p - 4. Let j(x) = -41*x - 1. Calculate -9*j(z) + 2*m(z).\nAnswer: 43*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - 122 - 12*k**3 - 2*k**4 + 63 - 5*k**2 as x*k**3 + l*k**4 + f*k**2 + s + d*k and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1864 divided by -195.\nAnswer: 1864\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 910*p - 30 = -2*f + 2*f + 1046 - 111, 0 = 3*f + 4*p - 29 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a + 2028?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.018 in 4, -1.1, 2, -5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453 + -204?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1910313.\nAnswer: 1910313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 415 + -398 + -12 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*y**2 - 218*y + 218*y + y**3 + 0*y**3.\nAnswer: y**3 - 105*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -6)*(-12)\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxmm when four letters picked without replacement from maxmmmxx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 300 + (-6)\/21*-7. Suppose -6*g - 69 + o = 0. What is the highest common divisor of 39 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.6 - -303.\nAnswer: 334.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.376 and -62.\nAnswer: -23.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2399*q**2 + 197*q - 42*q - 155*q to the form y + g*q + z*q**2 and give z.\nAnswer: -2399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1664\/(-32))\/1*2\/4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -424, -760, -1738, -3688, -6940, -11824?\n\"Answer: -55*b**3 + 9*b**2 + 22*b - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 18, i: 2}. Give prob of sequence ibb.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -72. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17066 and 770.\nAnswer: 938630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35181245503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 18, -103*v + 4*t = -105*v + 24 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*s - 424*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282338517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/4))**(-7\/4))**4 assuming h is positive.\nAnswer: h**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 19. What is y(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 1499*z - 22.\nAnswer: -1499*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 33000*s**3 + 99012*s**2 + 99016*s + 33006.\nAnswer: -2*(s - 16503)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j = -i + 66, i - 3*j = 51. Suppose 0 = 3*v + 2*p + 22 - 144, -5*v + 3*p + 197 = 0. Calculate the highest common divisor of v and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5781889 days in nanoseconds?\nAnswer: 49955520960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -49*g - 168. Let v be c(-11). Does v = 372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**9\/9072 + p**8\/840 - p**7\/315 - 26*p**3 - 18*p**2 + 1. Let n(u) be the first derivative of i(u). Solve n(a) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1889\/193378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 15248 = 2*v, 3*v - 22882 = 1796*b - 1792*b. What are the prime factors of v?\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21810 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1172775*g**3*p**2*q + 690649*g**2 - 3*p**2*q wrt g.\nAnswer: 7036650*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6231 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -4, 4 in ascending order.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 29 (b) -2\/11 (c) -85\/4 (d) -4 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55040 by 27520.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and -3.999.\nAnswer: -91.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 347000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 8*t + 13. Let m(z) = z**2 + 2*z. Determine -3*m(o) - v(o).\nAnswer: -2*o**2 + 2*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 5*j - 2*j)*(j + 7 - j - j).\nAnswer: -2*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-2 - (-4 - -2)) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(39)*1)\/((sqrt(243)*2 + sqrt(243))*-1).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-243)\/405*260\/(-18))\/((-5)\/15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 4*t + 0 - 1 - 3*t + 5*t + 0*t + (-4 + 2 + 5)*(t + 3*t - 2*t).\nAnswer: 7*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2050\/3 + 684. Which is the third biggest value? (a) 1 (b) -8\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368 - 157. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/7 - 2580*m**2\/7 + 547254*m\/7 + 78548 = 0. What is m?\nAnswer: -1, 269, 1022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (22*j - 7 + 24*j - 50*j)*(j**3 + 0*j**3 - 2*j**3 + 1).\nAnswer: 4*j**4 + 7*j**3 - 4*j - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 97849*b - 6164518. Give p(63).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.144 (b) -3 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8007 + -14b?\nAnswer: -8153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6060765 is divided by 103.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222 + 20?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 723 and 923271.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -156 in descending order.\nAnswer: -1, -3, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24158, 24160, 24162, 24164, 24166?\n\"Answer: 2*s + 24156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*4\/((-48)\/28)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (-142)\/(-36) + -4 and -107\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*(t**(-2\/17)*t)\/t)*t\/(t**(-4)\/t))\/(t**(-1))**(-45))**(-2\/23) assuming t is positive.\nAnswer: t**(56\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2735 + 7032. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -4) + -43 + 9\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -15. Let p = -1 - c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1295 + -390. Let x = r - 643. Solve -x*j**4 + 277*j**4 - 5*j**5 - 15*j**2 + 4*j**3 + j**3 = 0 for j.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l + 54. Calculate i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -63 - (2 + 4 + -6). Let c = l + 74. Let y(a) = 6*a**2 + 7*a + 4. Let f(g) = 17*g**2 + 21*g + 11. Give c*y(u) - 4*f(u).\nAnswer: -2*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43030572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -11 (b) -2 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 36*g - 63. Solve -3 = -n - g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {v: 3, d: 2, k: 1, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 981364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 9. Let f be m(-5). Suppose -i = -f*i + 30. Let h be (-79)\/(-2) - 3\/i. Calculate the greatest common divisor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 3*s - 58 + (1 + 4 - 6)*(2*s + 5*s - 5*s))*((5 - 4 + 0)*(1 + 1 - 3) - 4 + 5 - 3).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12941*k + 585482 = -5887*k for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + n - 35, -6*y - 8 = -3*y + 2*n. Let j be 1\/((-27)\/y - -2). Which is the third smallest value? (a) j (b) 2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*z - 1 = 12, 3*z - 13 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2 - (-3 - -1). Suppose q - 2 = -k*q. Find the second derivative of q*m - m**3 + m - 5*m wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 + 2. Let r be b(7). Let q(p) = 8 - p + p**r + p**3 + 1 - 8 + 8. What is q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 26 + 16. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*k - 4817 + 560 = 2079 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let l be (-2)\/(-1 - 0) + -17 + 19. Let f(j) be the second derivative of -7\/12*j**l - 9\/2*j**2 - 4\/3*j**3 + 0 - 1\/20*j**5 + 6*j. Give f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -25202992, -1\/6 in increasing order.\nAnswer: -25202992, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -2542, -7766, -17744, -34060, -58298, -92042, -136876?\nAnswer: -194384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -1841406?\nAnswer: -1841406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-63)\/(-42))\/(2\/4). Suppose 0*b = -4*c + w*b + 55, 2*b = -2. Calculate the remainder when 44 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 2056.\nAnswer: -41120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:34 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let n(y) = -41*y + 3635. Calculate g(n(l)).\nAnswer: 41*l - 3635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94950432 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -5\/2 (c) 5 (d) -145.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 663 + 18716?\nAnswer: 20480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((128\/28)\/4)\/((-4000)\/(-5600))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87731328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 15, -11*r + 6*r + 4*m = -955. What is the smallest common multiple of r and 6?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/489 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7)\/l)\/l)**(-29)\/((l\/l**(-3\/4))\/l*l**(-1)) assuming l is positive.\nAnswer: l**(587\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*o + 6 = 0, 2*o = 3*m + o - 4. Let k(z) = 0*z**2 + 7*z**m - 4*z**2 - 2*z**2. Let l(b) = -b. Give l(k(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27548959 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5*i - 6 - 9, 3*i + 2*z - 40 = 0. Suppose -201*k - i = -206*k. Factor -36\/5*f**k - 12*f - 4\/5*f**3 + 20.\nAnswer: -4*(f - 1)*(f + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*(-48)\/28?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 9 + 6 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let c be (2 - 1)*0\/((14 - 116)\/(-6)). Solve -4*d - x = -d + 8, c = -3*d - t*x - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -0.141, -6 in descending order.\nAnswer: 0.6, -0.141, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563849428?\nAnswer: 2, 140962357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 18*o**2 - 18*o + 18. Let v be s(-19). Do v and 2\/229 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103160026 (base 7) to base 3\nAnswer: 102120101211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -2*c - 3*a + 203, -2*c + 46 = 8*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8 - 18\/(-4). Let d be (w\/6)\/((-3)\/(-495)). Suppose -7*j + 3*j = -4*m + 64, j = -5*m + d. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59508.58 - 126?\nAnswer: 59382.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.42 + 1.82. Put 3, -2\/11, o, -3 in descending order.\nAnswer: 3, o, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32759 - 15228098?\nAnswer: -15195339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 77, -1 in descending order.\nAnswer: 77, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 + 183. Suppose -6*g = -g - j. Solve 4*z = -2*f, -g*f + 3*f = -4*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 31*y + 24*y + 29*y - 77*y. Let h(x) = x. Give j(h(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 5*i - 4. Suppose 3*y - 4 = -1. Let o(r) = 3*r**2 - y - r - r**2 - r**2. Let q(x) = -4*o(x) + u(x). Find the second derivative of q(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 29 = -4*l. Let j = -27 + l. Suppose -j*p - 267 = -2*o - p, -675 = -5*o - 5*p. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6*3\/(-12)). Suppose -p*y = 2*y - 12. Suppose 45 = 4*m - y. What is the least common multiple of m and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/54*-18)\/((-2)\/14))\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241.346 + 241. Let d = r - -0.406. Sort 0, 0.04, d in descending order.\nAnswer: d, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -27778, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-51))\/(13\/13).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -3.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g. Let z(y) = -3*y**3 - y**2 - 3*y. Suppose -5*k - 18 - 7 = 0. Let s = 154 - 152. Suppose 0 = -3*a + s + 1. Determine a*z(v) + k*q(v).\nAnswer: 2*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = -4*q - 6, -4*q = -o + 1. Is 854 + q + (2 - (8 - 4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -127. Let n be (-14)\/(-4) - (-174)\/o. Which is the closest to n? (a) 0.03 (b) 0.1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h. Let p(m) = 69*m**2 - 2. Calculate p(c(f)).\nAnswer: 27600*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90520 is divided by 30103?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 10*w - 10. Suppose -4*o + 5*c = 170, -86 + 4 = 2*o - c. Calculate the remainder when 1 + -1 + o\/(-1) is divided by x(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 13*f + 6 = d, 4*d = 5*f - 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101133883.\nAnswer: 233, 421, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 0*a)*(2*a + 0*a + a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(357\/(-7))*-2*24\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4358, 1442, -1474, -4390?\n\"Answer: -2916*c + 7274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (84 + -75 - (6 - 1)) - -13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/4)*a)\/a*a*a)\/a*((a*a**(-1\/3))\/a)\/a*a**(2\/3)\/a**(1\/9) assuming a is positive.\nAnswer: a**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 4071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 119*w - 597. Let l be x(5). Let v(y) = -y**3 + 6*y**2 - 3*y - 5. Let p be v(5). Sort 2, p, l, 3 in increasing order.\nAnswer: l, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m - 77*m + 5*m**2 - 2*m**3 - 128*m.\nAnswer: -2*m**3 + 5*m**2 - 155*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, i: 12, l: 1, w: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.365066 minutes to nanoseconds.\nAnswer: 441903960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -9. Find the common denominator of 8\/q*(-15)\/(-16) and 43\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 1091 - 1097 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Let b(u) = 12 + u**2 - i*u + 1 + 3*u. Calculate the remainder when b(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/60 + j**4\/24 + j**3\/6 + 8*j**2. Does 27 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293*-1.55159\nAnswer: -454.61587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-2 - (7 - 11)) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 14 - 34. Suppose 5*l - 9 = m. Solve l*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -85.786867.\nAnswer: -85.586867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -175?\nAnswer: -4\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59\/3 + -301\/15. Let g = 1189.879 + 0.121. Let d = g - 1190.15. Which is the nearest to 2\/5? (a) j (b) -3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-25))\/(1095\/(-7300)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78c0 (base 15) in base 5?\nAnswer: 1304410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-2 - 10\/(-4)). Let z be ((-92)\/(-10))\/(1748\/95 - 18). Solve 4*x - 24 = 3*p - 5, 5*x - r*p - z = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 17 + 13 + 4. Let u be f(12). Let l = u - -179. List the prime factors of l.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, z: 1, e: 1, l: 1}. Give prob of picking 1 e and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6, 0 = f - m - 3*m - 281. What are the prime factors of f?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g - 3*f = -2, 3*f = -6. Calculate the least common multiple of 19 - 2\/(8\/g) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. What is the highest common divisor of a and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/30 - 17*k**4\/12 - k**3 + k**2 - 63. Let s be x(-13). Calculate the greatest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267000 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74854.\nAnswer: 2, 13, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 4. Let l be o(4). Suppose j + l = -3*b - 4, 0 = -2*b - 3*j - 12. Suppose b = 3*q + 2*x - 0*x - 20, -35 = -4*q - x. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u - 1. Suppose 4*j + 23 = 4*p + 9*j, -p = -4*j + 10. Let a(s) = 6*s**2 - 4*s - 5. Let m = -3 - 7. Calculate m*i(b) + p*a(b).\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(0*l**2 + 2*l**2 - 4*l**2)*(-2*l + 2*l + 7*l) in the form h*l + z*l**3 + i + x*l**2 and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135089\/22 - 6142. Calculate the common denominator of (4 + 5\/(-3))*18\/32 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 5*p + 8*p + 9*p**2.\nAnswer: 9*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z**3 - z**2 + 24*z + 42. Calculate the lowest common multiple of 14 and y(-2).\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(77) - (sqrt(77) - sqrt(77)*-3*-1)) + sqrt(77))\/(sqrt(84)\/(sqrt(36)\/sqrt(3))).\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m - 8. Let p be d(-5). What is the highest common factor of 77 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-5)\/10)\/1). Solve 3*f + m*f = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 11:23 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 14*p - 41*p + 5*p - p.\nAnswer: -63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 460 - 1404. Let f(p) = 3*p - 935*p**2 + 5 + 0*p + t*p**2. Is f(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 2*k**2 + 3*k + 9. Give c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 29 = 5*x - 5*g, 0 = 3*g. Suppose 5*j = 3*j + x. Find h such that -11\/6*h**2 - 5\/6*h**5 + 0 - 7\/2*h**j - 17\/6*h**4 - 1\/3*h = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**6\/360 - m**5\/20 - m**4\/12 + m**3 - 16*m. Let u(r) be the second derivative of c(r). Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 22*b**2 - 6*b - 127. Let t be g(-22). Calculate the remainder when ((-1 + t)*-139)\/(-13 + 12) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-160))\/((-26)\/20)*(-2)\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -17.243\nAnswer: 3.4486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 19*o + 32. What is the tens digit of p(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 5890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbyb when four letters picked without replacement from {q: 7, b: 2, y: 3}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 0)**2 + sqrt(80) + sqrt(80))*-6.\nAnswer: -480 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -28. Let l(q) = -3*q**3 - 2*q**2 + 2*q + 3. What are the prime factors of l(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-110)\/20)\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/60 + o**4\/3 - 2*o**2 + 37. What is l(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -275 and -292 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 53*q**6\/20 - 349*q**5\/60 + 14*q**2 + 2*q. What is the third derivative of d(y) wrt y?\nAnswer: 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4356 - ((-4745)\/803 - ((-4)\/22)\/(-2))?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4172683 by 15.\nAnswer: 4172683\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/107436, -7, 2 in decreasing order.\nAnswer: 2, 3\/2, -1\/107436, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1614 and 7.\nAnswer: 11298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 65\/6*q**2 - 11\/6*q**3 - 41\/3*q.\nAnswer: -(q + 2)*(q + 4)*(11*q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*z + 1)*(-120*z - 994 + 994)*(-3*z - 4*z + z) - z + 2*z**3 + z as o*z**2 + s + m*z + k*z**3 and give k.\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 4*l**2 + 11*l + 9. Let s be k(6). Suppose 34 = -5*u + s*o, 0 = 3*u - 2*u + o + 2. Does 37 divide (-552)\/u + (-21)\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 270.89217059 - 431.8921695. Let z = -161 - b. Round z to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 + 52*w. What is the smallest common multiple of 28 and z(8)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 8*z - 24. Let f(k) = -3*k + 8. Let o(n) = 8*f(n) + 3*q(n). Let x(y) = -1. Let l(v) = -o(v) + 5*x(v). What is the derivative of l(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46286 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 - (-7)\/((-28)\/(-16)). What is f rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-12))\/2 - 1043598\/(-2). What is m rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (1 + 8 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 20 = 8*d. Suppose -4*c - 10 + 2 = 0. Sort d, c, 0 in increasing order.\nAnswer: d, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-7818)\/18)\/(1\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19414*t - 155322. Determine n(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90652?\nAnswer: 2, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/43)*o*o**11*o*o**(-1\/4)*o*o**(-11)*o)**37 assuming o is positive.\nAnswer: o**(23569\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1676*p + 209494. Determine d(125).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 9 + 317*b**2 + 122*b**2 + 12.\nAnswer: 439*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14922 times 22\nAnswer: 328284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3428111 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, 7, -10, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(20\/(-412)) - 1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from pepejaltapej?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274\/3 + -9593\/105. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 22*n**2 + 464*n + 31. What is o(-13)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 2. Let v(z) = -z + 1. Suppose -t - 704 = t. Let w = t + 516. Let y be w\/(-14) + (-2)\/7. Calculate y*v(g) - 5*c(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -111012100?\nAnswer: 111012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 63. Let o be (1 - 3)*(-69)\/2. Let l = -54 + o. Let c be i(l). Solve r - 1 = -c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/5)*d*d)\/d**(-3))\/((d*d*((d\/(d**(-2\/7)\/d*d*d)*d)\/d)\/d)\/(d*d**(6\/7))) assuming d is positive.\nAnswer: d**(216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 24. Suppose 5392 = -10*j + y*j. Is (j\/6 - 2) + (-3)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00447 to four dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5192 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 858\/797 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*m - 35 = 0, 0 = 3*m - 0*m - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*t. Let a be t + -4 - -8 - -3. Let y = a + -6. Solve 3*o - 3*i + 0*i - 3 = 0, -5*o = -y*i + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + -1882331280.684.\nAnswer: -1882331292.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/4 - (0 - 1). Suppose 6*s = 3*s - 6. What is the closest to s in 2, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -235.99999988 + 236. What is g rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.86996 micrograms in tonnes?\nAnswer: 0.00000000005086996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137*a**2*i**3 + a**2*i - 7235*a**2*u + a*i**3*u - 2*a*i**2 wrt u.\nAnswer: -7235*a**2 + a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5233\/(-266) - -13) + 7 and 35\/2.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 218. Suppose -g = -4*k + 114. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3\/2)\/(12*4\/336736)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 2*o**2 + o - 2. Let n be q(2). Does n = -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 243, 807, 1907, 3723, 6435, 10223?\n\"Answer: 30*u**3 - 2*u**2 + 4*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.576 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 9 - 18. Let z be 1*42*(-14)\/w. Let v = z - -275. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(130)*-1 + sqrt(130) + 4*-2*sqrt(130))\/(sqrt(110)\/((sqrt(11) + sqrt(33)\/sqrt(3))*-5)))**2.\nAnswer: 219700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/24)\/13*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 39. Let n be v(50). Calculate the smallest common multiple of (4 + 0)\/(10 + n) + 5 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.1 - 28. Let v = t + 1.2. Which is the biggest value? (a) 2\/3 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/15)*b**(-3) assuming b is positive.\nAnswer: b**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266 - -174. Let l be 38\/8 + (-23)\/g. Suppose 3*u = -f + 153, l*f + u - 608 = 143. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n + 23*n = -2*d, -5*n = -2*d - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564*p = -35*p + 1254 - 13421. Solve -5*c - p = -h, 5*c = 37*h - 38*h - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 933 and 3?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8539 - 8531. Let m(d) = -d**3 + 8*d**2 - 5*d + 2. Calculate the smallest common multiple of s and m(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*y + 4 = -14, 4*d + 8 = 4*y. Suppose -p - 5 = -5*s + 2, -p = -3. Let a(q) = q**3 - d*q + 4*q - 6*q**2 + 6*q**s + 3*q**2. Calculate a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 492 + -497. Let f be 30\/9*(y + 124\/20). Solve -f = -5*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00121815 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Let n(f) = 4*f**2 - f + 8. Let p(o) = h(o) + n(o). Let k(q) = -q**2 - 2. Calculate -7*k(s) - 2*p(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/13 + 1174356*b**2\/13 + 8220578*b\/13 + 7046220\/13 = 0.\nAnswer: -6, -1, 587185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**3 + 19*h**2 - 19*h - 6 = 0.\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 200 = 880. Let v = n + -34. Which is smaller: 2\/97 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 17*z**2 - 18*z. Let w(f) = 33*f**2 - 37*f. Let c(j) = 13*i(j) - 6*w(j). Find the second derivative of c(l) wrt l.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624866.1 litres in millilitres?\nAnswer: 624866100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(320) + sqrt(320) + 3)**2.\nAnswer: 128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45961 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4955768 smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 8*v**2 + 13. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 2*k**2 - 4*k**2)*(-6*k**2 - 10*k**2 - 34*k**2).\nAnswer: -100*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.41 + 0.09. Which is the second smallest value? (a) p (b) -0.1 (c) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9789083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51*(2 + (-15)\/9). Solve -4*t = 1 - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 - 24255*k + 72810 = 0.\nAnswer: -4854, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -47. Suppose 283 + 165 = 16*c. Calculate the remainder when -249*((-6)\/27 + x\/(-36)) is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 655034, 657249, 659478, 661727, 664002, 666309, 668654?\n\"Answer: r**3 + r**2 + 2205*r + 652827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*d - 213*d + 134*d + 82*d - 199*d in the form y*d + m and give y.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111000101 (base 2) to base 6.\nAnswer: -44101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3 + 1. Let z = x + 6. What is the tens digit of z\/18 + 388\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -39*r + 74*r - 33*r, -3*o + 5*r = 97 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 - y - 1. Let q(i) = -9*i**2 + 2*i + 2. Calculate 2*q(l) + 3*x(l).\nAnswer: 6*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uetsesecsusesesc. What is prob of picking 1 u, 2 s, and 1 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -497588259*h**4 - 451313343?\nAnswer: -1990353036*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572034758.\nAnswer: 2, 286017379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1061*n**3 - 1197484*n + 4*n**2 + 1197484*n in the form p + k*n**3 + x*n + r*n**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29056.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -152*l + 1535. Determine o(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 5) in base 11?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-33)*(d\/(d**35\/d))\/d)\/(d**27)**(-2\/7) assuming d is positive.\nAnswer: d**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169\/7 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10*w + 11. Let h be z(8). Let q = 43 + h. Let f = q - -34. What is the remainder when 55 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 2*w)*(-4*w + 4*w + 2*w) + (2*w - w - 3*w)*(-21*w + 6*w + 57*w).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1027\/2 - -514. Let u = -0.243 + 1.243. Which is the third biggest value? (a) -6 (b) y (c) u (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b7291 (base 13) to base 5\nAnswer: 1321102400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 30*h**2 - 4 - 66*h**2.\nAnswer: -36*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3915, 1, 251, -1\/6, 2\/11 in decreasing order.\nAnswer: 251, 1, 0.5, 2\/11, -1\/6, -3915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-27)\/(-36))\/((-3)\/(-36)) and 1150?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 56*w - 664. Let v be q(12). Solve -3*d = -4*c + v*c - 4, -c + 3*d + 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1315, -1359, -1403, -1447, -1491, -1535?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 1017, 3593, 8653, 17025, 29537, 47017, 70293?\n\"Answer: 138*l**3 - 46*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 + 808*b**2 + 5374*b + 343. What is r(168)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*p**2 + 43*p**2 - 13*p**2 + (5 - 5 - 2*p)*(25 - 25 + 8*p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-870)\/(-1200) - 6\/10). What is the smallest value in 2\/17, 3.3, l, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/(10 + -18) + 3632\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100 - -1010101000001111001?\nAnswer: 1010101001001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251 or 23976\/95?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2\/(-3)*570\/95. Let y(r) = -141*r + 8. What is the hundreds digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8855 times 0.088\nAnswer: 0.077924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 - 10608*r - 53083. Calculate w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-2) - 9\/6. Let r(o) = o**2 + 4*o + 4. What is r(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5410504 (base 6) to base 11.\nAnswer: 171825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111000011100000 - -1000?\nAnswer: 100111000011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114811 >= 9344434\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 (base 12) in base 2?\nAnswer: 10100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -3)*1 - 0. Let o be (24\/9 + -3)*n. Factor -1\/3*z**4 + o + 0*z**2 - 2\/3*z**3 + 2\/3*z.\nAnswer: -(z - 1)*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -2*k**2 - 1\/6*k**3 + 0*k + 1\/12*k**4 - 1\/60*k**6 + 0 - 1\/60*k**5. Give q(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 429 - 303. Suppose -5*r + j = f, 0*r + 2*r - 48 = -f. Calculate the lowest common multiple of 6 and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(18)\/(-3*sqrt(6)) + sqrt(3) + 1 + 3 + 0 + (sqrt(30)\/sqrt(2)*-6)\/sqrt(5)).\nAnswer: -12 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 6 = 0. Let s be 24\/(-14)*(-9 + 2). Find the third derivative of -17*o**3 + s*o**2 + 11*o**w + 14*o**3 wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 29. Suppose 57 = 4*i + 3*s - 12, 4*i + 4*s = 68. Let d be f(i). Suppose -3*t + d = -394. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/444 and -19\/4.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:53 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3*3\/2. Suppose 3*m + 5 - z = -4*u, -5*m - 5 = 5*u. Suppose 3*q - q = 2*i + 256, u = 2*q + 3*i - 256. What is the greatest common divisor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322.09 + 34.87426.\nAnswer: -287.21574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let m be -1 + 1 - (-7)\/(-7)*-2. Let a(i) = -12*i + 2. Give m*x(k) - a(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*l**4 - 141*l**3 + 2*l + 2764 wrt l.\nAnswer: -56*l**3 - 423*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189345\/(-1942)*14\/(-35).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.983063 meters in nanometers?\nAnswer: 1983063000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.19837 + -0.19837. Which is the third smallest value? (a) -2 (b) 1 (c) u (d) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/((-9)\/(-6) + (-1020)\/696) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10193 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64847131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8739463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2246, 18, -8 in descending order.\nAnswer: 18, 0, -8, -2246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.396 + -35.096. Let t = -10.5 + a. Round t to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46 + 29186b?\nAnswer: 291825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/18)*x*x*(x\/(x*x**(2\/7)))\/x)**(20\/11) assuming x is positive.\nAnswer: x**(830\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 3*t**2 + 2*t**2)*(-t + t - 2*t) - t**3 - 1 + 1 - 15*t**3 + 16*t**3 - 20*t**2 - 2*t**2 - t**3 + 3 - 3.\nAnswer: -5*t**3 - 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*h + 3*h, 0 = -i - h - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 6*j - j - 15, -6 = -2*j + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 33. Let a(l) = -l**3 + 7*l**2 + 20*l + 12. Is a(s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*r + 2*y + 27 + 61, 13*r + y - 380 = 0 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.4 + -7.399769. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 355, 350, 347, 346?\n\"Answer: p**2 - 8*p + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227340639?\nAnswer: 3, 31, 814841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 5*x. Let m(o) = o**2 + 3*o. Suppose -v - 5 = -4*k - 2, 14 = 4*v - 3*k. Give v*m(a) - 3*i(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -3*s - 4, -7 = -3*w + 4*s. Suppose -4*h = 3*a - 37, 115 = w*a - 4*h - 0*h. What is the second derivative of -5 + 4 + a*m + 1 + 20*m**2 wrt m?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 47*j**5\/20 - 19*j**3\/6 - 13*j**2\/2 - 386*j. What is the second derivative of n(u) wrt u?\nAnswer: 282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3331, -10943, -22881, -39145, -59735?\n\"Answer: -2163*m**2 - 1123*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 10:17 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73 - 0.73. Which is the closest to -2? (a) m (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 44*k - 262. Let t be g(13). Calculate the highest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -3, 2\/3, 3, -936\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10417191*0.3\nAnswer: -3125157.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 169*g**5 + 1768*g**4\/3 + 526*g**3\/5 + 36*g**2\/5 + 2763*g. Find x, given that s(x) = 0.\nAnswer: -2, -3\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229573.\nAnswer: 101, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -51, -2\/15, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -897409*h + 5384469. Determine w(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (0 + 3 + -5 + 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/2*(-10)\/(-30)*48\/40.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -51, -86, -145, -234, -359?\n\"Answer: -z**3 - 3*z**2 - z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 90 = 4*x. Let g = 150 - x. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110011001110 - -100?\nAnswer: -11001110011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 640 = -15*p. Let t = 40 + p. Suppose -31 + 43 = t*j. Sort j, 5, 1 in descending order.\nAnswer: 5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, h: 2, q: 2, l: 1, t: 8}. Give prob of sequence tqq.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d**2 + 6*d - 3. Let k be q(6). Let z(g) = 2*g**2 - 2*g - 3. List the prime factors of z(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:41 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/40 and -85\/8298676.\nAnswer: 82986760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3723*a + 3822 = -3729*a. Does a = -637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -1. Suppose 0 = o + 3*d - 9 + 1, o + b = 4*d. Solve k + 18 = 5*g - o, -5*k = -2*g - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6650.68 + -0.7348.\nAnswer: -6651.4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (3 + -1))*((-165)\/(-12) - 15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301633 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -410 + 420. What is the greatest common divisor of 45 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x - 25 = 3*s, -15 = -3*x. Suppose 3*w - 5*w + 10 = s. Let n(r) = 7*r + 87. Let u be n(-11). Calculate the greatest common factor of w and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 19*g**2 + 1. Let y be x(-19). Put 0, -2, y in ascending order.\nAnswer: -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 520 + 4?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 5*v + 21, c + 32 = -2*c - 4*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*i + 8, 4 = i - b - 0*b. Suppose i = 6*s - s - 30. Find the third derivative of -j**2 - s*j**6 + 4*j**6 + 0*j**2 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*a + 49*a - 383 - 142 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6, -90 in descending order.\nAnswer: 6, 0.4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n - 5. Let y = -5 + 11. Let b be s(y). Suppose 0 = 2*a + 5*q - 9*q - 1042, -2*a + 1105 = 3*q. What is the greatest common factor of a and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -325.\nAnswer: 32\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2604 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7355.\nAnswer: 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w**3 - 273*w**2 + 651*w + 180.\nAnswer: 3*(w - 20)*(w - 3)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 941 - 581. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 874*t + 5144. Determine k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 628.\nAnswer: 13816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (11 + 4 - -4). Suppose k*o + 57600 = 6*o. What is o rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/81 - (-776)\/(-9). Let j be a\/5*(-5 - -10). Let v = 161 + j. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 176*u - 526\/3.\nAnswer: -2*(u + 1)*(u + 263)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90915?\nAnswer: 3, 5, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14*84\/(-48). What is the nearest to 0.1 in 4, 3\/7, r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 4 + -7 + 1046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 2*l**4 + (1 + 2 - 1)*(-l**4 - 5*l**4 + 5*l**4) - l**4 + 2*l**3 - 2*l**3 + (4*l**2 - l**2 + 15*l**2)*(-388 + 388 + 38*l**2).\nAnswer: 679*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -887638\nAnswer: 9\/443819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14559.\nAnswer: 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324 + -3?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254651 (base 7) in base 2?\nAnswer: 1011100011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2. Let f(l) = -7*l**2 - l - 9. Let z(v) = -f(v) - 5*y(v). Determine z(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + 101. Let a be ((-11)\/4)\/((-7)\/(-28)). Let q = c - a. List the prime factors of q.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 2*o + 3. Let r(m) be the second derivative of -m**5\/20 - m**3\/6 - m**2 + 5*m. Let d be r(0). What is x(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 78.6 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(125)*3 - 1*(sqrt(405) + 1 + -5))**2.\nAnswer: -1992*sqrt(5) + 310021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 11:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923741 is divided by 4684.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + ((-7 - -28 - 21) + (-7 - -6) - -13).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172, -604, -1330, -2350, -3664, -5272, -7174?\n\"Answer: -147*h**2 + 9*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 27. Calculate the common denominator of -87\/86 and -9*12\/40*m\/(-12).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 145*l - 1951. What is r(13)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1083 and 104739.\nAnswer: 37810779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16660 = 19*m - 2*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 9858?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1685, 2544, 3413, 4298, 5205, 6140, 7109, 8118?\n\"Answer: i**3 - i**2 + 855*i + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-w + w - 2*w) - 4*w + w - 2*w + (-1 - 4 + 3)*(3*w + 3*w - 4*w) - 3*w + 3*w - w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134 + 148. Suppose -5*c + 26 = -a. Solve -s - 3 = -c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -i + 1, 0*h - 2*i + 7 = -h. Let q be ((-4)\/1)\/(-1 + h). Solve -3*v + 11 = -s, -2*v - q*v = -5*s - 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from zut?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10202 - 30601\/3. Suppose i*v + 1\/3*v**2 - 2 = 0. Calculate v.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1963638 and 708?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -5, -421071?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -5*q**4\/24 - q**3 - 233*q**2. Determine h(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8977085.\nAnswer: 5, 13, 167, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 601 - 260. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 7*f - 67. Let d(n) = -2*n**3 + 15*n**2 - 15*n - 135. Let p(w) = 6*d(w) - 13*o(w). What is the units digit of p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b - -c6?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 126 = 5*z, -h + 4*h - 4*z = 416. What is the remainder when h is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 665, 660, 655, 650, 645?\n\"Answer: -5*d + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 941 and 37640?\nAnswer: 37640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 2808 + 9089 = 0. Let u = l + -374. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9066465 divided by -1405\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*b - 5*b = 60, -3*b - 12 = 0. What are 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 (-12)\/(-1) - ((-1)\/(-1))\/(-17 - -18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46995 and 48360.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 12. Suppose 3*g - j = -0*g. Is 995 - (-1 + g - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(320)*-2)**2*-5 - sqrt(320)*2*-1)*-4.\nAnswer: -102400 + 256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21092698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 take away -0.061525999176?\nAnswer: -1181.938474000824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 216\/(-16)*8\/(-6). Calculate the greatest common factor of 306 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 7)\/(((-6)\/(-8))\/1). Let u(p) = -p**2 - p + 264. Let h be u(0). Suppose -c - 2*c = -h. What is the highest common divisor of c and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 1\/3 (c) 3.68 (d) 2\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -9*s + 6*s + d, 0 = -s - 3*d + 28. Let u(z) = -6*z + 3 - 3*z + 0*z. Calculate the remainder when u(-8) is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.19258183\nAnswer: -0.19258183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*-1) - (-1 + sqrt(1377) + sqrt(17)) - (sqrt(119)\/(sqrt(14)\/(sqrt(72) - sqrt(2)))*2)**2.\nAnswer: -1699 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.76 + -7.76. What is the nearest to p in -4\/5, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -322.6496 and -5.4534.\nAnswer: -328.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1652529114 rounded to five dps?\nAnswer: -0.16525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {y: 2, v: 4, a: 8, s: 5}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 8*p**4\/17 - 382*p**3\/17 - 896*p**2\/17 - 200*p\/17 = 0.\nAnswer: -2, -1\/4, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163489*c**2 - 2164*c - 10 wrt c?\nAnswer: 326978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 141*z**2 + 176*z**2 - 1309*z**2.\nAnswer: -1275*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1622 - 1621.8. Let t = 0.6 - 0.2. Which is the nearest to v? (a) -5 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -87. Let t = 31.6 - p. What is t rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/31)*n*n*n*n\/(n*n**(-12\/5)) assuming n is positive.\nAnswer: n**(842\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-1 + 2*r + 1) + (-1 - 3 - 5)*(0 - 5 - 4*r + 4).\nAnswer: 38*r + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + s + 6*s to b*s + l and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369562*w - 18 - 3*w**2 + 369562*w.\nAnswer: -3*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/5))\/x)**(-2\/61) assuming x is positive.\nAnswer: x**(-2\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20 + 0 + (2 - 3). Suppose 6*h - 2*h = 76. Calculate the greatest common factor of h and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-1)\/2*9. Let y be 12\/18 + (-309)\/v. Suppose 3*a - y = -2*a. Let x(j) = -3*j + 2. Give x(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750112640 * -3\nAnswer: -2250337920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 - -201.455. Let h = -0.02037 + -0.02463. Let v = h - t. Put 1.4, v, 3, 0 in ascending order.\nAnswer: 0, v, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 2}. What is prob of picking 2 b and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (7 - (10 + (-15 - -10))) + 7 + -34?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.851*-0.5.\nAnswer: 1.9255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 2. Determine d(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115682?\nAnswer: 2, 7, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203341973 is divided by 1044.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 1016, 3501, 8372, 16433, 28488?\nAnswer: 45341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410 and 820?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 360\/(-45) + (-106)\/(-6). Let t(d) be the first derivative of s*d**3 + 0*d + 13\/2*d**2 - 15. Find the second derivative of t(p) wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a = 136 - 136 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**9\/y)\/((y*y*y\/(y*y**(3\/8)))\/y)*(y\/y**(-4\/7)*y)\/(y*y*y*y\/y**(-3\/7)) assuming y is positive.\nAnswer: y**(365\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*o + 2*j - 3*j, 4*o - 28 = 4*j. Solve -v - 2*v + o = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 3751930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222, 1229, 1242, 1261, 1286?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)\/b)\/b**(-2\/21)*(b\/(b**0\/b*b))**(2\/23) assuming b is positive.\nAnswer: b**(-4742\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -21. Suppose 81 = o*a - 42. Suppose 8 = -3*u - 1, h - a = -3*u. List 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 448 minutes before 8:44 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4347516*d**2*v**2 - 5844133*v**2 wrt d?\nAnswer: -8695032*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*4\/(-18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -95, -143, -211, -299, -407?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 756, 1503, 2614, 4125?\nAnswer: 6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqfq when four letters picked without replacement from qcqcfqqppfp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*h - 7*h + 166, -2*h = 8. Let v be 1445\/3 - 36\/s. What is the greatest common divisor of v and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 658495.7ml?\nAnswer: 658.4957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w - 6*w**2 - 7 + 11*w - 1 - 2*w**3 - 22*w. Let t be y(-4). What is the highest common factor of t and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 + 388*p**3\/3 + 12674*p**2 + 74884*p\/3 + 37249\/3.\nAnswer: (p + 1)**2*(p + 193)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24707*i - 24732*i = 160 + 15 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.66 times 0.17\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-90)*25 + 32. Solve -12*p - s*p + 145 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -3\/7, 47, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204*-1.\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4614606122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -26\/151 (c) -4 (d) -4\/5 (e) -1\/5 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*u**2 + 183*u**3 - 141*u**2.\nAnswer: 183*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 + (0 - -4)\/(-4) - 7. Determine a so that 2\/13*a**y + 8\/13*a**3 + 0 + 0*a + 8\/13*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24710, 1 in ascending order.\nAnswer: -24710, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1142\/13 - -88. Let h = -42.4 - -38. Let x = h - -8.4. Put x, 3, y in descending order.\nAnswer: x, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 not equal to -665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4\/(f*(f\/(f**(-1)*f*f))\/f))\/(f**(-1)*f)**(16\/9))\/((f\/(f*f**4)*f\/((f**(-1\/2)\/f*f*f)\/f))\/(f**(-1\/7)*(f\/(f*f*f**5\/f*f))\/f)) assuming f is positive.\nAnswer: f**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89364311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 9.95. Let d = x + -10.1. What is the third biggest value in d, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138 or -1820\/3161?\nAnswer: -1820\/3161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*o - 26. Suppose -4*f = l + o, -5*l - f = -0*f - 37. Suppose -31*g + 80 = -29*g. What is the greatest common factor of g and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8318 is divided by 1384.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350123645 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(6\/2) + 9 + -5. Suppose c = f - 1, 4*f + 6 = c - a*c. Let p(y) be the third derivative of y**5\/20 - y**4\/24 + y**2. Calculate p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(2\/(6\/(-9))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 - 107*v - 3441. What is the tens digit of g(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/(-3))\/7)\/(204\/108).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -574*o**2. Let g(h) = -h - 23. Calculate g(j(x)).\nAnswer: 574*x**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2235 + 4020. Let p = u - 594. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 3*n - n + 4*n + 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2387321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6 = 5*h - h - 9, 0 = 5*t - h + 5*h - 75 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54281197 to the power of 1\/2, to the nearest integer?\nAnswer: 7368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74\/7 - -76\/7. Is 1.6 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 2. What is the common denominator of g\/15 - (-2355)\/200 and -27\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248 + -228. Suppose i*k - 8*k = 696. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33105 or -34444?\nAnswer: -34444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*l + 12 + 4, 5*g + l = -34. Let h(j) = -j**3 - 5*j**2 + 5*j + 1. Let o be h(g). Suppose o*c - 18 = c. Solve c*x = 10 - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5 + 219. Let i = -64 + b. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -5 + -5 + sqrt(242)*-2)*-5*4)**2 + -5.\nAnswer: 123200*sqrt(2) + 406795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/9)\/j)**(13\/2)*j*(j*j*(j**36\/j*j)\/j*j)\/j*j**(1\/78) assuming j is positive.\nAnswer: j**(4363\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1306379*r + 25. What is t(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -20*u + 19*u, -5*r - 4*u + 31 = 0. Suppose r*c - 3*y - 9885 = 0, c + 2*y - 3720 = -431. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 + 8*p - 10. Let w be z(7). Let j be 6*(63\/(-6))\/w. Let a be ((-7)\/j)\/(1\/3). Which is smaller: a or 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 85*j + 2. Let b be t(-2). Let f = b + 240. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1, -8\/7, 5\/6, 2, 2\/3 in descending order.\nAnswer: 2, 1, 5\/6, 2\/3, -1\/5, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 3, 2397, -7.\nAnswer: -8, -7, -1, 3, 2397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 20*d + 1183 = 0. List the prime factors of d.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*p + 34*p + 2 - 1 + p + 4*p - 4*p - 1 + 2*p + 1 + (0 - 2 + 3)*(-p + 2*p + 0*p) - 2 + 2 - 2*p in the form u*p + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**3 - 13*b**2 - b + 7. Let v(h) = -7*h**3 - 12*h**2 - h + 6. Let i = 19 + -24. Let l(k) = i*v(k) + 4*t(k). Let s be l(-3). Is -14 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 864 - 862. Suppose u + 0*u + 1 = -p, -p - 3*u = 7. Suppose 3*y - 5*f + 11 = 0, -3*y + k*f - 5 = -p*y. Solve -y*m = -4*g + 27, -3*g = -4 - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.011505145 rounded to 4 decimal places?\nAnswer: 4.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1080*(-7)\/((-63)\/7500). Suppose -3*n = -0*n + m + 2700000, -g = n + 5*m. Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-28))\/(1\/8110) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(-28)\/16380*27\/(-6).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 20*m - 600 = 0. Suppose 0 = 15*j - 10*j - m. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*i + 1888854 + 1069188. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.082? (a) -1.5 (b) 0.1 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 144*h**2 + 262*h + 16979. Give s(-145).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 5*n)*(2 - 3 + 4)*(4 - 2*n - 4) to y*n + k + v*n**2 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*d**3*r + 4940*d**3 - 31*d**2*r + 210*r + 1 wrt r?\nAnswer: -7*d**3 - 31*d**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 2*r - 67. Let f be k(-5). Suppose -f*o + 12 + 24 = 0. Calculate the remainder when 188 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 10. Let z be n(-2). Let g(m) = -5*m + 3. Let y(q) = 14*q + 4 - 5 - 7. Determine z*y(b) - 17*g(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0328 - 4.9672. Let s = -13 + 13. What is the closest to -9 in -1\/5, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j - 8 = 0. Suppose -29 - 1261 = -6*y. Suppose 0 = -0*o - o + l + y, 2*o = -j*l + 438. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 4 (c) 1 (d) 4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*k + 791 - 791)*(-1 - 1 + 0)*(-11 - 10 + 0).\nAnswer: -3990*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211.258t to micrograms.\nAnswer: 211258000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 27*a = 88. Let s = 286 + -453. Let o = a - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3304643015 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 2*g**2 - 3*g - 18. Let h be m(-3). Let p be (h - -12)\/(-1) + (0 - 0). Let c be (5 - 1)*(-6)\/p. Let w(l) = -l**3 - l**2 + 4*l - 3. Give w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 - 875*w**2 - 1735*w - 865 = 0. Calculate w.\nAnswer: -173, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.22772 in 0.2, -3, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 49. Suppose -6 = 2*c - n*c. Suppose c*k = 5*p - 33, -4*p + k + k = -28. What is the remainder when 23 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 253\/3. Let p = -6.43 + 2.43. Sort n, p, 1, -2\/11 in decreasing order.\nAnswer: 1, n, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1.33026?\nAnswer: -1.33026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*v - v. Let w = -2 - -3. Let c = w + v. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1331) + (sqrt(1331)*-1*6 - sqrt(1331) - sqrt(1331)) - sqrt(1331)))**2.\nAnswer: 880*sqrt(11) + 85209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 8:24 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**2 - 5*v**2 + v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 3 in increasing order.\nAnswer: -7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8587 - 16140 - 19807)*(t**4 - 4*t**4 + t**4).\nAnswer: 54720*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 65*z - 111*z - 3 + 45*z. Give c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -25. Let k = 34 + -34. Suppose y - 7 = -s + 3, 2*y - 8 = k. Calculate the highest common factor of l and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i**24)\/(i**11)**(12\/11) assuming i is positive.\nAnswer: i**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556313952?\nAnswer: 2, 23, 1249, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -2*u, -p + 3*p = 2*u. Suppose -p*q + 0*a + 8 = 2*a, 2*a = q + 3. Is 25 a factor of 416\/6 - q\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/8*1*16*(-5)\/(-70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 599. Let v(m) = -4*m + 125. Give a(v(u)).\nAnswer: -16*u - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.5 and 5.\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/4)\/((33\/(-36))\/11). Let d be (-1 - (-2)\/h)\/((-7)\/126). Suppose -2*s + 8 = d. Solve 4*j + 4*c - 4 = 0, c = -2*j + 1 + s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -19.88. Which is the third smallest value? (a) x (b) 0.1 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*((sqrt(320) + 1)*-6 - sqrt(320)) - (1 + sqrt(320) - sqrt(320))*-3*6))**2*-5.\nAnswer: -70600500 - 1512000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 214 - -0.108.\nAnswer: 214.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*(-16)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d8d - 23c?\nAnswer: -11cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 23 - 77 = 0. Suppose j - 3*t = 14, 2*j - i = -3*j + 2*t. Differentiate -3 + 2*s**4 - 2 + 2*s - j*s with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m - 4. Let y be a(-3). Let p(s) = -6 - 16 + s + 45. Is 5 a factor of p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 26 = 3*w + n, -2*w = 2*n + 30. Let m = -0.2 - 0.3. Which is the closest to -0.8? (a) 0.1 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 73916944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -446, -470, -504, -548, -602?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 76*i + 6. Is o(2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 10000112?\nAnswer: 10000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 14) + 53 + -41?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0, 3, 10.\nAnswer: 0, 2, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*((sqrt(396) + 4*(sqrt(396) + (0 + sqrt(396) - sqrt(396))) + 0)*-2*3 + 1))**2.\nAnswer: -51321744 + 51840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Let m = a + 4. Let d(u) = 7*u**2 + 2. Let r(l) = -6*l**2 - 2. Calculate m*r(i) + 5*d(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n + 8. Suppose x = -n*x. Suppose x = 3*p - 1 + 7. Sort p, -0.3, 1.\nAnswer: p, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.702 + 5.6102. Let w = l - -2.1. What is w rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 33*c**2 - 59*c - 32. Let f be x(8). Are f and 35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277902 divided by -1?\nAnswer: 277902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41590207 and -4522.\nAnswer: -41594729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34054577 to the power of 1\/2, to the nearest integer?\nAnswer: 5836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.71963 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 7*f**3 + 2*f + 10*f**3)*(3805 - 1184 + 2241) as a*f**3 + g*f + c + v*f**2 and give g.\nAnswer: 19448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 - 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((1 - 2) + 4 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 54 = -25*c. Let q be (2 + 45 + 1)*9\/c. Let t be (1*-4)\/(q\/(-6)). Put -4, 0, t in ascending order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 146*n - n - 133. What is the second smallest value in -2, 469, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -s + 4*y - 3*y, 0 = -3*s + 4*y + 31. Suppose 5*j = -5*q - 194 + 209, 4*j = q + 42. Solve -j = -x - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16816, 67314, 151488, 269338, 420864, 606066?\nAnswer: 824944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82*(-12)\/(-24)*((-21)\/(-3))\/7.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344.20272 + -344.3. What is j rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/6 and (3\/(-8))\/(135\/(-1130)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 22. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.5 + -5.4. Let u = s + -8. Suppose 2*w = 3*w. Which is the closest to w? (a) u (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:47 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) 3\/7 (d) -4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*168\/(-98)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*o + 11 = -2*t, 5*t + o - 71 = 0. What is the lowest common multiple of 4 + (-60)\/14 - (-228)\/t and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-11)*(-6)\/(-12). Let t = 714313\/15 - 47621. What is the fourth smallest value in -0.5, t, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + s = 1, -2*o + s = -s - 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -68*r - 19. Let i(m) = 201*m + 62. Give -2*i(n) - 7*s(n).\nAnswer: 74*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**5\/20 - u**4\/4 - u - 3. Let z(v) be the first derivative of s(v). Find the third derivative of z(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m**2 - 189*m + 79*m + 110*m. Let o(j) = 19*j**2. Give o(b(g)).\nAnswer: 3724*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 4*m**2 + 5*m + 1. Let y = 13077 + -13071. Let u(r) = -r**3 + r**2. Give y*u(p) - 2*v(p).\nAnswer: -2*p**3 - 2*p**2 - 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(3 + (-11)\/2). Is 252\/2 + (u - -6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -10*y**3\/3 + y + 393. Let z(u) = u**2 + 6*u - 9. Let g be z(-7). Let i be -1 + (1 - 3 - g). Give a(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/4 + 2*i**3 + 5*i**2\/2 + 29. Determine h so that b(h) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334628*k**3*s**3*z**2 + 67*k**3*s**3 - 3660*k**3*s*z**2 + 2*k**3*s + k**2*s**2 - 2604*k*s*z**2 wrt s.\nAnswer: -2007768*k**3*z**2 + 402*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-8))\/(3685\/4020).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6813 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (6\/3)\/(-2). What is the third derivative of 2*v**6 + 5*v**2 - o*v**2 - 4*v**6 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -16*m + 468. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 10\/14) + (-156)\/(-91). Let n be (-3723)\/(-7242) + 1*(-1)\/f. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 714*v + 8563. Determine u(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9 + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (2*-3)\/(3\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = -2*q, -5*a = -2*q + 2 - 69. Let x = a - 4. Suppose -341*c + 369*c - 1914*c + 291544 = 1427*c. Calculate the highest common divisor of c and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + u**2 - u - 3 + 2*u**2 + 3*u as c + p*u**2 + h*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/120 + 3*r**5\/20 + r**4\/3 + 7*r**3\/6 + 11*r**2. Suppose -19 = -4*f + 2*o - 47, o = 5*f + 38. Calculate z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.11 - -11.1099786. Round y to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 0.02 (c) 0.249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196572\/126 + 60\/(-630) and 8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10904 - 10919. Is 15 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*p + 2*x, 4 = -2*p + 3*x. Suppose 377 = -p*u + 5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1908\/(-2544))\/(((-9)\/5)\/((-6)\/(-4)))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-11)\/(990\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 + -65. What is the smallest common multiple of 12 and t?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 184501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 8. Let m = v - 20. What is the smallest common multiple of (-6)\/9 + 92\/3 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43834 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 0.4. Let p = -1.9 + f. Let l be (-2)\/7 + 5\/42. What is the third biggest value in -0.5, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*h - 28, -2*h + 5*h + q - 29 = 0. Let k = h - 4. Is 18 a factor of (96\/40)\/(k\/220)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -6784 + 16972. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 101.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1239 + 1349. Calculate the least common multiple of p and 176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11852, 11853, 11854, 11855?\n\"Answer: b + 11851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129578 is divided by 131.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474943*q + 474942*q = 5*m + 121, -6*q + q - 105 = 5*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 17*x = 80 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 3*k - 3. Let w be m(-2). Let n(r) = 2*r**3 + 3*r**2 - 2*r + 1. What is the remainder when n(2) is divided by (39\/9)\/(w\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396134 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(74\/(3626\/13965))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 3825240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eohzenghhze. Give prob of picking 1 o and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 958.4261l in millilitres?\nAnswer: 958426.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -553.24 * -0.1\nAnswer: 55.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8134614 - -2.8176. What is j rounded to five dps?\nAnswer: 0.00414","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 12) + -4 - (-526 - -504)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-30) - 1604\/(-120) - 14\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 42)\/6 + (-7 - -10). Sort 53, 10, k in descending order.\nAnswer: 53, 10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.601262 millilitres?\nAnswer: 0.005601262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(-4 + 5*(sqrt(252) + -1) + -2 + 1*sqrt(252)))**2.\nAnswer: -1026432*sqrt(7) + 11914128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from vvllyvcwwwlvlv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -479 (c) -0.2 (d) -1 (e) 3 (f) -30 (g) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1134*v - 2 + 1016*v in the form q*v + u and give q.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 136*n**2 + 8*n - 8. Let v(r) = 91*r**2 + 5*r - 5. Calculate 5*i(l) - 8*v(l).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 9*x + 4*x + 21, -5*d + 30 = 4*x. Suppose -4*r = -r - 6. Suppose 2*m - d = 0, -b - 4*b + r*m + 38 = 0. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n + 7\/60*n**5 - 7\/6*n**3 - 7\/24*n**4 + 8*n**2 + 0. What is the remainder when 139 is divided by w(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - g + 1. Let z(m) = 3*m + 23. Let j be z(-7). Suppose i + 12 = -2*i - 4*o, -2*i + 6 = -j*o. Let b be i\/5 + 1 + 0. Give u(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11388337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 492*q**2 - 492*q**2 + 15*q**4 + q**3 + (2 - 5 + 0)*(60*q**3 - 60*q**3 + 7*q**4) to t*q**2 + h*q + a + v*q**4 + r*q**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 141. What is the remainder when p is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74244797 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)*(-5 + 3). Let g be l\/(-8) + (-1)\/(-4). Solve g = 2*s + o, -4*s + 0*s = 5*o + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/80 and 151\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 14. Let w be s(9). Let a(x) = 1. Let g(d) = 13*d**3 + 8. Let o(k) = w*a(k) + g(k). What is the derivative of o(u) wrt u?\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.18 (c) -561 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -7385?\nAnswer: -7384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-715696)\/(-80) - (1 - 9\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106659172 divided by 4.\nAnswer: 276664793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-13 + 14) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6*o - 3604 = 4*o, 2*f = 2*o + 2386. Is 48 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173\/30 - -31\/6. Suppose -4*r + 5 = -3*w, -3*w + 0*r - 3*r + 9 = 0. What is the closest to w in -4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-469)\/(-402))\/(24\/648)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {c: 1, o: 1, e: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8. Suppose -4*b - 3 - 7 = 2*l, 4*l + 14 = -5*b. Let p be (1 - l)\/((-4)\/(-6)). Put p, 2, r in ascending order.\nAnswer: r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.5, -7, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -57, -1, 0, 19, -33, 18 in descending order.\nAnswer: 19, 18, 4, 0, -1, -33, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**2 - 152*d - 259. Determine r(-20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5 = -2*r, 5*r + 0*r + 20 = 0. Let m(f) be the second derivative of -3*f**5\/4 + f**4\/12 - f**3\/6 + f**2\/2 + 18*f - 10. Calculate m(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.22765.\nAnswer: 0.22765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k**5\/5 - 204*k**4\/5 - 6438*k**3\/5 - 4389*k**2\/5 + 14157*k = 0. Calculate k.\nAnswer: -11\/2, 0, 3, 65\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -59*p - 296. Give g(19).\nAnswer: -1417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 665638*a*c**6 + 6*a*c**2 + 49*a*c - a + 11*c wrt c.\nAnswer: 79876560*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540 and 910.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -14 + 29. Let y be (-1 - (-20)\/12)*g\/1. Put y, -1, 4 in ascending order.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -871 divided by 3\nAnswer: -871\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56369.\nAnswer: 56369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 614*b + 8898. What is l(-16)?\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*l - 23, 3*c - 2*l + 14 = -0*c. Let q be c\/(2 + -1*4). Suppose q*t - 89 = -17. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -162, -742, -1692, -3012, -4702, -6762, -9192?\n\"Answer: -185*y**2 - 25*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c + 155*c + 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(192)*-1)**2) + sqrt(363) + -1.\nAnswer: -193 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 2143.\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 574\/28. Put 5, 4, c in decreasing order.\nAnswer: c, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**8\/140 + 8*x**7\/175 - 7*x**6\/200 - 43*x**5\/100 + 39*x**4\/40 - 9*x**3\/10 - 116*x**2. Suppose v(l) = 0. Calculate l.\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d**4 + 3*d**2 + 102*d - 22163 wrt d.\nAnswer: 16*d**3 + 6*d + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6\/5, -2, 0.1, -1 in increasing order.\nAnswer: -2, -6\/5, -1, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + 173. Suppose 4*j - o = 3*w, 0 = j + 5*w + 7 - 1. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.566 - -71.\nAnswer: 66.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:32 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 398 from -0.508.\nAnswer: -398.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (0 - (-1 + 6 - (38 - 46)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 67 - 60)*(-z**2 + 5*z**2 + z**2) to a + y*z + k*z**2 and give k.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8849118 or 8849101?\nAnswer: 8849118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 2*r - 3*l, -4 = r - 2*l. Let y be ((2 + 0)\/r)\/1. Let p(w) = -11*w + 1. Determine p(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1434108 rounded to 3 decimal places?\nAnswer: 12.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*s - 2*q, -4*q + 1 = -3*s - 8. Suppose 29*w = 25*w + 16. Solve s + 3 = w*i - 2*o, -i + 7 = o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 7*b + 18. Suppose -b*d = -2 + 8. Is d less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173342326, -173342330, -173342334, -173342338?\nAnswer: -173342342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948254991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + -1. What is the third biggest value in a, 5, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 13 - 11. Solve -2*p - p + q = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**4 - q**3. Let i(k) = 108*k**4 - 15*k**3 + 135. Let b(p) = i(p) - 15*s(p). Differentiate b(w) wrt w.\nAnswer: 372*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1448, 1447, 1446?\n\"Answer: -b + 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -5*u - 3*x - 111, 3*x - 28 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a8bc41 - 2?\nAnswer: a8bc3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169\/4 + 42. Is -45 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 15\/4) + 1\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748 and 294127064?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.5, -13, -0.1, -0.2, 2.\nAnswer: -13, -0.2, -0.1, 0.5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5185\/2 - -75193\/29. Let j = p - -4\/29. Factor -1\/2*l**3 + j*l**2 + 0*l + 0.\nAnswer: -l**2*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-3\/4)*z*z)\/z)\/(z*z\/z**(-8\/3)*z*z)*z*z**(-39)\/z*z**(-33) assuming z is positive.\nAnswer: z**(-929\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 4386?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2)\/(-7)*1208\/96 + (-2)\/21.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (184\/(-138))\/(16\/(-84))*86\/14\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*m + 14556 = 92356, 2*b - 5*m = 38912. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*d - 4874, d = 2*k - 1139 - 1291. What is the greatest common divisor of 114 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 209 = 13*l. Calculate the greatest common divisor of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**14\/(y\/(y**(-14)\/y)))\/((y\/y**3)\/(y*y**5\/y*y)))**(-6\/11))**42 assuming y is positive.\nAnswer: y**(-1512\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {s: 2, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -32\/3 - 12*d**2 - 22*d - 2\/3*d**3 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 + 2907.\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h = 96*h - 145018. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/5, 421\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 116*q - 1. Let n be x(1). Calculate the greatest common factor of 46 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 67*i - 65*i. Suppose i = 3*j - 3*y, y - 15 - 4 = -4*j. Suppose 1238 = 4*l + 3*x, -l + 303 = j*x - 2*x. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {k: 10, c: 2, w: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1327*k**2 + 171*k**2 + 2066*k**2 + 834*k**2 + 4*k**2 + 0*k**2 - 2*k**2 + (k + 2 - 2)*(4*k - k - k).\nAnswer: 4402*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from ybgqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 45.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 3. Let s = k + 7. Let f = 11252 - 11226. Calculate the remainder when f is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p*p**(-4)*p*p)\/p*p*p*p*p\/(p\/(p\/(p\/p**1)))*p*p)**(-29)\/((p**(-2)*p*p)\/(p**(-2)*p))**46 assuming p is positive.\nAnswer: p**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -11.668, 0.1, 14.3 in increasing order.\nAnswer: -11.668, 0.1, 14.3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*6\/(-294)*7\/(-28)*-70?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -0.3. Let f = 119 + -122. Let q = o + f. Which is greater: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**9\/3024 - s**8\/560 - s**7\/280 - s**6\/360 - s**3 - 8. Let c(m) be the third derivative of b(m). Factor c(i).\nAnswer: -i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458)\/sqrt(6))**2*-6 + sqrt(363) + (sqrt(363)*-3 - sqrt(363))**2 + 1.\nAnswer: 11*sqrt(3) + 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*j**3 + 28*j**2 - 28*j**2 + 138*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.238\nAnswer: -0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656712 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1143 and 635?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29838336 divided by 5632\nAnswer: -5298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -765.17?\nAnswer: 767.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + (sqrt(1331) + 0 + 2)**2.\nAnswer: 55*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 d when four letters picked without replacement from {g: 1, j: 3, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -74. Let o = m + -77. Calculate the lowest common multiple of (52\/12 + o)*48 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, 1, -0.02, -309?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/17 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 1, i: 8, e: 2, m: 2, z: 5}. What is prob of sequence eze?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 7. Let l(v) = -11*v + 7. Let k be (-9 - -11) + (3 - -2). Let b(p) = k*g(p) + 6*l(p). Let o(f) = -f - 3. Calculate 4*b(a) - 9*o(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**25\/(p**(-8)\/p) assuming p is positive.\nAnswer: p**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*d + j, 6*j - 4*j = -2. Suppose d = 4*w + w. Solve -5*x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.94 - -0.06. Let z = 515 - 515. Let x = 2\/33 + 3\/11. Which is the closest to -10? (a) x (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}