diff --git "a/data/dm_maths/full_data_2/11094_11255.jsonl" "b/data/dm_maths/full_data_2/11094_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11094_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Three letters picked without replacement from {f: 5, m: 7}. What is prob of picking 3 m?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -99*b + 1674. Let a be g(0). What is the highest common factor of a and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 + 18*q**2 + 3243*q - 18. Let h(y) = 2*y**3 + 8*y**2 + 1622*y - 8. Give 4*f(p) - 9*h(p).\nAnswer: -2*p**3 - 1626*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:42 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 = 39*h + 27 + 3 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000550092228 rounded to 7 decimal places?\nAnswer: -0.0005501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 1\/2 (b) -28 (c) 10 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:41 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 13 - 260. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2. Let u(l) = 41*l**2 - 84*l - 4. Determine u(d(q)).\nAnswer: 1025*q**4 + 420*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (65\/650)\/(1\/10). Let d(b) = -106*b + 2. Determine d(m).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/9, 3, -4, 336, -2, 0.4 in ascending order.\nAnswer: -4, -2, -1\/9, 2\/7, 0.4, 3, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4*z\/(z**(-2\/19)\/z))\/((z\/z**(-3\/7))\/z**(-6)))\/((z\/(z*z**9))\/(z\/(z**6\/z)))**(-5\/3) assuming z is positive.\nAnswer: z**(-3853\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -6 - -8)*(-2)\/(-29). Let l = -358\/435 + t. What is the closest to -2 in -2\/3, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb79 (base 13) to base 2.\nAnswer: 110111010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 134926236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*i - 3*i + 1 - 4*i as w*i + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/501600 and -47\/1254?\nAnswer: 501600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049631697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/18)\/(33088\/(-40608))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 3:33 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 2. Let s be g(-2). Suppose -3*v - 2*v + 70 = s. Let t be (-14)\/(-4)*(-60)\/(-21). Solve -5*b = 6*l - l + t, -l - v = 4*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 63, 88, 115?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 56*v + 72. What is the hundreds digit of n(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2946 + 852. List the prime factors of k.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.93776 to one decimal place.\nAnswer: 349.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-8) - (-5)\/(-20). Let x be 17384\/(-190) + i\/(-10). Let l = -92 - x. What is the third smallest value in -2\/7, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 9*c**2 - 9*c + 39. Let s be g(7). Let y = s + 159. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 - -7.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -104. Let j = -8677\/5786 - 550\/263. What is the common denominator of j and ((-1)\/(-6))\/(2\/v)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -16. Suppose -s = -5*k + 20. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 11 - (-422)\/72. Let d = 28\/9 - w. Which is the third biggest value? (a) 4 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.095935 from 4.\nAnswer: 4.095935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 941167*l - 853645 wrt l.\nAnswer: 941167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2414451 - 0?\nAnswer: 2414451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, -19\/3, 0.4, 3, 7\/3, 15, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 59 - 18 + 12*j. Let a be d(0). Let n = a + 94. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720.94 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*q - 177, 1 = -q - 0*q. Let m(y) = y**3 + 35*y**2 - 4*y - 130. Let s be m(w). What is the greatest common factor of 55 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g - 6942 = 60*g. What are the prime factors of g?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*o**4 - 74*o**3 - 78*o**2 - 30*o - 2 = 0. What is o?\nAnswer: -1, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -12.241?\nAnswer: -12.241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 1, q: 3, z: 1, a: 1, w: 2}. What is prob of picking 1 a and 1 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*-12*4\/(-36). Is (-1 - 2)\/(l\/48) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*t - 82 + 142, 4*t = 2*w + 46 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5)\/40*8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207283332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16a - 2?\nAnswer: -16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/15 + 2\/3. Let y = 38 + -112\/3. Let d = -582\/5 - -116. Which is the nearest to y? (a) h (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/722 and 26\/3.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*-2 - (-8)\/3. Suppose c*a + 5*t = -37, -5*t - 20 = -5. Put 3, a, -1 in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 29.1.\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/38112 and 103\/833700?\nAnswer: 6669600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190\/7 - -753\/28. What is the closest to 1 in z, -5\/3, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-17\/5)*n)\/n)\/(n\/n**(-14)) assuming n is positive.\nAnswer: n**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/(-4))\/(-4))\/((255\/(-5))\/255)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8 - 22*u**3 + 21*u**3 + u + 4*u**2 + u**2 - 3. Suppose -55*j - 212*j - 3*j = -1350. Calculate m(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 - v. Let j be b(-1). Suppose 3*f - 5*g + 14 = 0, -4*g = -4*f - 10 + 2. List the prime factors of f - (1 + -1)\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/11266 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6227840 to the power of 1\/2, to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 + 1737*k**2 + 250560*k - 252300 = 0.\nAnswer: -290, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i**2 + 3*i + 3. Let b be o(-3). Suppose -251*m = 5*y - 249*m + 62, 35 = -3*y + m. Put 4, y, -5, b in ascending order.\nAnswer: y, -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 0.2, 2\/9, -0.1, 5, 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6285.377 - 6288. Let v = 2.8 - 0.2. Let n = o + v. Round n to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1245*i**2 - 1242*i**2 - 11 + 5 + 7 + 4*i**3. Let k(p) = 7*p**3 + 5*p**2 + 2. Let h be -8 + (5 - 2\/1). Calculate h*b(z) + 3*k(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 726539 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzmzzzzzzzzzmzqzzzm. What is prob of picking 1 m and 2 z?\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = v + 25*b - 29, -2*v = 5*b - 54. Let z = -20 + v. What is the nearest to 1\/2 in 0.1, z, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111110010 - 100001011101?\nAnswer: -10111001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhghiiihgiihqwiiq. What is prob of sequence gh?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -256*h - 1164 + 396. Put h, 137, -5 in descending order.\nAnswer: 137, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-9)\/(-24))\/((-660)\/(-352))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -110*t + 442. Let y be o(4). Let c be 2\/(-4)*(-5 + 1). Solve y = -c*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 14*z**2 + 3*z + 19. Calculate q(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1695 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*p - 25315*j**2 + 5*j*p - j - 24892*p + 3 wrt p?\nAnswer: -2*j**2 + 5*j - 24892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**2 - 34*t + 107. Let r(i) = -9*i**2 + 29*i - 108. Let b(g) = 5*l(g) + 6*r(g). Determine b(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.1004\nAnswer: -0.3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12740511193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.2, -1\/8, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 14*p**2 + 4*p + 16. Let r(n) = -n**3 + 15*n**2 + 3*n + 16. Let j(h) = -2*m(h) + 3*r(h). What is the second derivative of j(q) wrt q?\nAnswer: 6*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*s - 12 - 7 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 14\/10)\/((-173)\/2595).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187) - -3*sqrt(187))*-3)\/(sqrt(99)\/(sqrt(144)*-4)).\nAnswer: 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*t**2 + 252*t**3 - 2*t**4 - 122*t**3 - 128*t**3 wrt t.\nAnswer: -48*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535906?\nAnswer: 2, 293, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20779*z**3 + 23476*z?\nAnswer: -124674*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = -3*b + 9, 4*k + 22 = 2*b. Suppose -3*i = -20 + 2. Let c be (i\/(-10))\/((-13)\/(-65)). Sort -1, b, c.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + -1 + -5.\nAnswer: -6 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3642 divide 46719576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276.23281 rounded to 1 decimal place?\nAnswer: 3276.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-4)*(7 - -3). Let g = 13 - d. Solve 5*q = -3*b - 17, 2*b - g = q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 - 9*d**3\/4 - 3*d**2 + 5*d.\nAnswer: d*(d - 10)*(d - 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/672 and 79\/24.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 2383148*q + 38131392.\nAnswer: -4*(q - 16)*(q + 595803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p**4 + 0*p + 0 - 4*p**2 - 1\/60*p**5 + 0*p**3. Let r(t) = -5*t**2. Calculate r(a(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 - 11*g**2 - 6973*g**3 + 6 - 5.\nAnswer: -6973*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3777 (b) -0.5 (c) 6 (d) 4 (e) 1 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122730 divided by -5?\nAnswer: -24546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 1, y: 3}. What is prob of sequence yywh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9133267 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484702 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 11:24 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-10) - 42\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36528, 36440, 36350, 36258, 36164, 36068, 35970?\n\"Answer: -r**2 - 85*r + 36614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105\/9 - (-20)\/(-30). Let k = 0.65 + -0.25. What is the smallest value in y, 0.5, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 92223599 and 5.\nAnswer: 461117995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 45\/270 + -1 + 95\/6?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 7425.\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 105 + 191 = -189 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + t - 185 = -3*w, w - 2*t = 50. Suppose 0 = 4*m - 0*v - v - 44, 46 = 5*m + v. Calculate the greatest common factor of m and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 357653 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -26, 38.9, -1\/4, -3, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:06 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111101?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4722846*5.\nAnswer: 7.361423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 39*w**3 - w**2 + 1. Determine m(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 25*u - 3 = 0. Let j = -3 - -5. Let y = 2 - j. Sort u, y, -4 in descending order.\nAnswer: u, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4370, -13273, -26708, -44675, -67174?\nAnswer: -94205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1 - 4, 3*h - 5*g + 7 = 0. Suppose 3*t = h*t - 66. Solve 0 = 3*j - 2*v + 8, j = -2*j - 5*v - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11958*x**2. Let f(k) = -10*k. Determine f(n(l)).\nAnswer: 119580*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3147 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avgaagvuvagvalaag. Give prob of sequence lvv.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3035 - 8255. Let t = m + 1523. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*v = -14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 418 - 416. Sort -7, v, -2\/5, 0.1 in decreasing order.\nAnswer: v, 0.1, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741410467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*i - 1, i + 16 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:03 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 9*n**2 - 2*n - 6. Let c(q) = -q**3 - q**2 - 6*q + 4. Let a be c(0). Let g be i(a). Solve 0*o + 6 = g*o, 0 = -4*s - 2*o + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 350*y**3 - 9*y**2 + 7*y + 10. Let b be u(-5). What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (111 + 6*x - 111)*((-5 + 3 + 0)*(4 + 1 - 3) + 1 + 1 + 3) + (-1 + 3 - 1)*(-x - 2 + 2) to d + n*x and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 5. Let w(y) = 2865*y - 10505. Calculate -2101*s(h) - w(h).\nAnswer: 5539*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1184? (a) 4 (b) 1\/8 (c) -30\/227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:26 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115 and -23.72.\nAnswer: 2727.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -95. Suppose -4*n + 89 + x = 0. Calculate the remainder when 72 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 555.077\nAnswer: -2220.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (1 + 1 - 2). Let z = m - 1. Let s(o) = -z - o**2 - 5*o + 3*o + 0*o. Calculate s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 11*d - 10. Let r be c(-10). Suppose -22*q = -15*q - 973. Suppose -3*x = 148 - q. Sort -2, x, -5, r in descending order.\nAnswer: r, -2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b + 5. Let w be g(4). Let v be w\/(-4) - 1\/(-4). Suppose 0 = 4*d - v - 34. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k. Solve k*b + 10 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*v + 349 = 0, 3*v = -4*r + 268 + 41. Is 8 a factor of (6\/9)\/(3\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -4 - (-90)\/27)*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let h(d) = -2*d**2 - 28*d - 13. Let n be h(-12). Suppose -4*f - 3*o + n = g, -2*f = -4*o + 4 - 16. Solve 0 = 3*v - 5*v + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4147240 is divided by 17573.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -953.69 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) - (6*(sqrt(2448) + 2 + sqrt(2448)))**2) + 1.\nAnswer: -352650 - 3444*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 19 - 60 - 138397*b + 138399*b.\nAnswer: 2*b - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11935953, 11935952, 11935951, 11935950, 11935949, 11935948?\nAnswer: 11935947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.148118229 rounded to two dps?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 3*b**2 + b. Let r be y(3). Suppose -3 = -4*a - 15. What is the units digit of a - (36\/(-2))\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (354\/(-472))\/((-39)\/8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5538.72 or -1\/112?\nAnswer: 5538.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7\/4, 4.\nAnswer: -7\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -17\/4. Let l = 4 + -8. Which is the second smallest value? (a) l (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)**28)**28\/(((h\/h**(-1\/7))\/h**(-1\/4))\/(h**(-3)\/h*h**(-2\/11))) assuming h is positive.\nAnswer: h**(239755\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/176 and 13\/22336.\nAnswer: 245696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*f + 15 - 45 = 0, 2*l - 5*f - 2 = 0. Let g be (-4)\/l*(-162)\/(-12). Let y be 5\/3 + 6\/g. What is the third biggest value in -0.3, y, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -62509*i. Let m(z) = z**2. Give m(t(k)).\nAnswer: 3907375081*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134\/39 + -36\/13. Which is the nearest to 0? (a) f (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38530 + -36580. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423242 (base 5) in base 15?\nAnswer: 4317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 15) to base 4.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-10) + 24\/40. Let w be (3\/6)\/((-1)\/4). Sort w, 1, x.\nAnswer: w, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12236238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/((s\/s**(-2\/21))\/s))\/(s*s**(-12)*s*s\/(s*s*s\/(s*(s*s\/((s\/(s\/(s*s*s**(2\/11)*s)))\/s)*s*s)\/s))) assuming s is positive.\nAnswer: s**(4891\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuo when four letters picked without replacement from kouukuuoou.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131061 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16*u - 28. Let z(n) = 7*n - 12. Let t(a) = -3*j(a) + 7*z(a). Let x(k) = 4*k - 4*k - 46*k**2. Calculate x(t(q)).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1)\/(-21 - -2 - -9)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 4, w: 1, a: 1}. What is prob of sequence bbb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 9*r = -300. Let w be ((-15)\/r)\/((-3)\/48). Let -3\/4*o - 1\/4 + 5*o**2 - 16*o**w + 12*o**3 = 0. What is o?\nAnswer: -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20*j**3 - 17*j. Let l(h) be the first derivative of 7*h**4\/4 - 3*h**2 - 4. Suppose 0 = -4*i - z - 67, 4*z - 43 = 2*i - 5. What is i*l(n) + 6*c(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-28)*21\/(-84)*(7 + -15)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283633021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 270*b**3 - 35*b - 35. Let t(l) = -45*l**3 + 6*l + 6. Give 35*t(v) + 6*x(v).\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 47.\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 4*y + 32 = -11*b, 5*b = -5*y - 55 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 938, 944, 954, 968, 986?\n\"Answer: 2*n**2 + 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101697*o**3 + 109239 with respect to o.\nAnswer: -305091*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 107\/(-3) + 49 + (-10952)\/222?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7072)\/2176 + 985\/(-140)?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169262 and 1139?\nAnswer: 192789418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 11 + w**3 - 6 - 3*w**2 + 5*w. Let n be b(-4). Let k be (((-160)\/12)\/4)\/(n\/3). Which is greater: 0.2 or k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 1226*j**2 + 8660*j - 12400.\nAnswer: -2*(j - 5)*(j - 2)*(j + 620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3272306+1.8\nAnswer: -3272304.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - (-6 - -3) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.63 + 4798022740.6.\nAnswer: 4798022774.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4351, 2\/13, 5, -2, -0.2.\nAnswer: -4, -2, -0.2, 2\/13, 5, 4351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 521*l**4\/4 - 2*l**3\/3 + l**2\/2 + 133*l - 1986. What is the second derivative of v(r) wrt r?\nAnswer: 3126*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/5)\/((-3)\/20). Calculate the common denominator of (36\/(-165))\/(1\/(-15)) and 9\/(-3) + 102\/x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 9*h**2 + 9*h + 8. Let y be v(-8). Which is smaller: -212 or y?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1062.9999171 - -1063. What is y rounded to six decimal places?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 686598*-1.1\nAnswer: -755257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l. Suppose 0 = 8*h - 3*h. Let g = h + l. Solve -5 = a + 5*z - g*z, a + 5 = -3*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735\/4*n + 363*n**3 - 75\/4 - 528*n**2 = 0.\nAnswer: 5\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -120da15 + 3?\nAnswer: -120da12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0796 + 3.0796. Let k be 4\/24 - (-1)\/30. What is the nearest to 1\/4 in k, r, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -1 (b) 11 (c) 3\/220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-268)\/159*210\/(-385). Let l = -6\/583 + p. Suppose 16\/11*v**2 + 8\/11*v - l*v**3 + 0 = 0. Calculate v.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 185482.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*i + 463*i - 154*i - 13 - 157*i + 130 to s + j*i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-17))\/(6102\/5763)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 842830 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7059256512?\nAnswer: 2, 3, 7, 11, 31, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553*j - 1878 = 551*j - 3*a, j = -a + 936. Calculate the highest common divisor of 60 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*k + 114, f + 4*k = 2*f - 30. Let c = 31 - f. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/14)*o*o**30*o*o*o)**41)**(1\/7) assuming o is positive.\nAnswer: o**(19475\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 - 5*u + 4. Let c(h) = -10*h**2 - 8*h + 6. Determine -5*c(o) + 8*k(o).\nAnswer: -6*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1333695\/(-161660)*(0 + (-16)\/(-10)).\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 g when four letters picked without replacement from {g: 3, u: 1, z: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*u**2 + 1107*u**2 - 50 - 2200*u**2.\nAnswer: 3*u**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4\/12 + 6*m**2. Let f(g) = 3*g**2 - 2*g**2 - 2*g**2. Determine r(f(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 9. Let d be j(-6). Suppose 4*l + 3*u = 6*u + 43, 5*l - 50 = d*u. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a week in hours?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + x + 8 - 2*x. What is the tens digit of z(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 466*g**2*s**3 + 146*g**2*s**2 + g**2 + 24*g*s - s**2 wrt s.\nAnswer: 2796*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4, -5, -0.04106.\nAnswer: -5, -4, -3\/4, -0.04106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*f**2 + 2*f**2 + 9*f**2.\nAnswer: 103*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1068 (base 10) to base 5\nAnswer: -13233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 + 2 = 21*l + 98 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/6)*c*c**(-11)*c\/(c\/(c**(6\/13)\/c))*c**(11\/2))**22 assuming c is positive.\nAnswer: c**(-3608\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 302, 1, 33 in descending order.\nAnswer: 302, 33, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2113.490455 to one decimal place.\nAnswer: 2113.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/4*3\/(36\/(-8)). What is the third derivative of -4*p**4 + 8*p**4 + p**3 - 2*p - a*p**3 + 53*p**2 wrt p?\nAnswer: 96*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -8\/15*m**6 - 6*m + 17\/6*m**3 + 0*m**5 + 0*m**4 + 0 + 0*m**2. What is the second derivative of k(z) wrt z?\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 461727, 461728, 461729, 461730, 461731?\n\"Answer: b + 461726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let h = 0 - 2. Calculate the remainder when h\/(-3 - 10\/(-4)) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/5 + 3142*i\/5 + 2349144\/5 = 0.\nAnswer: -553, 2124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-7740)\/(-1386))\/(-43)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 z when three letters picked without replacement from {n: 1, v: 5, e: 2, u: 2, w: 1, z: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 744 - 680. Let n be ((-6)\/(-104))\/((-24)\/q). What is the nearest to -0.01 in -3, -0.3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -11*p + 19725. Suppose 50 = 5*q - p. Let z = q + -458. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 138*x**3 - 7*x**2 - 28*x + 14. Let l(a) = -137*a**3 + 6*a**2 + 27*a - 12. Let i(c) = -6*h(c) - 7*l(c). Find the second derivative of i(f) wrt f.\nAnswer: 786*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -19*n**7\/105 + 119*n**4\/24 + 5*n**2 - 12. Find the second derivative of p(a) wrt a.\nAnswer: -456*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 99 - 99 - 251830*d**2 + 251857*d**2. Let a(c) = 301*c**2. What is b(a(t))?\nAnswer: 2446227*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*t + 176*k - 177*k, 0 = 4*t - 4*k + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14118631 is divided by 86?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63851.8kg?\nAnswer: 63851800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.972573 to three decimal places.\nAnswer: -0.973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/40*(3\/9 - 1). Let r(c) be the second derivative of 2*c + a*c**4 + 4\/15*c**3 + 0*c**2 + 0. Factor r(p).\nAnswer: 4*p*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/7 - 68*r**2\/7 - 144*r\/7 = 0.\nAnswer: -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31265 + 93793\/3. What is the nearest to -2\/7 in 25, l, 0.9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001323468 to six dps.\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 385, 384?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2045915\/813847059 + 2\/293067. Let r = z + 155197\/124965. Calculate the common denominator of r and 119\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x = 2*s - 142, 326*x - 321*x - 3*s + 1 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -42*y - 170. Let u be d(-4). Let o be -3*(-1)\/2*u\/(-12). Is 12.6 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410040 (base 5) to base 2.\nAnswer: 11001101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (237*a**3 - 3669*a + 3669*a)*(0 - a + 0) to h*a**2 + z*a + f*a**4 + w*a**3 + b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/58769718 and 27\/11074.\nAnswer: 58769718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-3)*52\/8. Let m = -37 - r. Suppose -14*z**2 + 1 - 9 - 36*z**2 + 14*z**2 + m*z - 4*z**4 + 20*z**3 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 2*d = 42 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, v: 5, y: 4}. Give prob of sequence vmm.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-15)*1*(-1)\/2. Suppose x = 2*g - 3*g + 3. What is the second derivative of 31*w - 65*w + 36*w - 4*w**g wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110110210111101 (base 3) to base 11\nAnswer: 3818648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = -3*h, -5*r - 2*h = -r - 6. What is the remainder when 9 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(252) + sqrt(252) + -1)**2 + sqrt(252) + 0 - 3*(sqrt(252) - (-3 + sqrt(252)*2)**2).\nAnswer: -252*sqrt(7) + 4062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 3 + 2 + 352*p**2 - 363*p**2 - 2*p to the form m*p**2 + t*p + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 21. What is the smallest common multiple of n and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 3*l. Determine c(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/169656 or -21\/5?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = -6*i. Suppose 9*p = 3*v + i*p - 20, -3*p = -3*v + 18. What is the second derivative of 153*u - 62*u - v*u**3 - 75*u - u**3 wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 - 5)*(-4*a**4 + 2*a**4 + a**4) + 0*a**4 + 2*a**4 + 0*a**4)*(2202 + 684 - 629 + 1684 + 375) to o + b*a**2 + m*a + g*a**4 + s*a**3 and give g.\nAnswer: 4316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-5*(-4)\/20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -79.00135. What is q rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 5. Let n(y) be the second derivative of y**4\/6 - 7*y**2\/2 - 2*y. Let p(j) = 7*a(j) - 5*n(j). Let k(h) = -2*h. Determine k(p(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.583 months to years.\nAnswer: 69.71525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048*a - 1058*a - 3*y = -2102*a + 19, 18*a + 4*y + 38 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)\/(1\/2). What is the common denominator of -77\/8 and (-265)\/v*3\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110110101010010000 (base 2) to base 8.\nAnswer: -5665220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.012 in 1\/3, 3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 + 422. Let q = -69 + j. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 2, -4, 5.\nAnswer: -39, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, 166, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a - 7. Let r(y) = -12*y - 4. Give -3*p(i) + 5*r(i).\nAnswer: 9*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004092 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/40 + 35*w**3\/6 + 3*w**2 + w. Let b(j) be the first derivative of t(j). Let d(f) = -54*f**2. Give b(d(k)).\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-20))\/(-30*4\/16)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2. Let y(l) = -4*l - 5. Let i(f) = -19*f - 27. Let a(j) = 4*i(j) - 22*y(j). Calculate b(a(v)).\nAnswer: 1008*v**2 + 336*v + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.254 plus 0.1?\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -611 + 73. Let w = s + 541. Solve -25 + 16 = w*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-80)*-6)\/(232419\/(-140860))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71757, 286724, 645001, 1146588?\nAnswer: 1791485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 5*d = 7, -5*j + 5*d + 15 = 0. Solve 3*p - 7*g = -9*g - 19, j*g + 3 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 15161180*v + 11493068949620 = 0.\nAnswer: -1516118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -700845 (base 9) in base 13?\nAnswer: -1165b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 33*q + 3. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10deb (base 15) in base 3?\nAnswer: -2201202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2177\/6 in 0.4, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 212100102 (base 4) to base 8\nAnswer: 462022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-2)*-6*-1)\/(((-3*sqrt(540))\/sqrt(9))\/sqrt(12)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 2*s - 1. Let f be i(2). Let q be 0*(f\/(-2) - 0). Suppose 3*c + z - 2 = 0, q = -2*c + c - z - 2. Solve h + 3 = -x - 0*x, c*x = 3*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14114780.\nAnswer: 2, 5, 127, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 719*n - 6471. Let b be u(9). Solve 4*d - 3*c + 51 - 56 = 0, -5*d - 3*c + 13 = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332758205 a multiple of 1241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -20*v + 13. Let d be 10\/30 - ((-38)\/(-6) + 0). Calculate the remainder when k(d) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6508986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 4*z + 5*z + 2 - 8*z + 2*z**3 - 2*z**2. Let m be b(2). Solve -4*q - 2*w - 12 = -2*q, q + m*w + 21 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, -208, -1133, -2938, -5917?\nAnswer: -10364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11\/6 (b) -2\/97 (c) -304 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47743 (base 10) to base 15.\nAnswer: e22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 18*j + 23. Suppose 0 = -2*s - 6 + 44. Let l be y(s). Suppose -l*f = -2*f - 30. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -3.7. Let r = 1.22206 - 0.22206. What is the closest to r in p, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 + 10*z + 9. Let r = 679 + -675. Let n be w(r). Calculate the highest common factor of 92 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + (-233 - -271) + -51?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + p**4\/12 + p**3\/2 - 2*p**2. Let f = 1 + -4. What is v(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4942 + -4917. Solve 313*x = 318*x + n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let x(j) be the third derivative of -j**4\/8 + 8*j**3 + 18*j**2. Give b(x(w)).\nAnswer: -3*w + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48626785913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 62?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*h - 5, -206*h + 1 = 4*m - 205*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 - -239. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -21 (c) 0.32 (d) 0.39 (e) -0.19 (f) 1 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48.7841 + -0.2159. Which is greater: j or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 i, and 1 r when four letters picked without replacement from iihihiiiriiiii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25606 + -16?\nAnswer: -25625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-16))\/((-32)\/24320). Solve -5*a - 173 = -h - r, 7 = -3*h + 4*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -968232 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15.62+-11886.3753407\nAnswer: -11870.7553407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usssuuccwuqx. Give prob of sequence wuc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*w + 488*w + 67188 = -324*w for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26353\/14 - 1884. Find the common denominator of 29\/14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(156) - sqrt(156)) - sqrt(156)) + (sqrt(156)*-1*-5 - sqrt(156)))\/((-2*sqrt(1200) - sqrt(1200))*1).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-412 - -347) + 0 + (2 + 2 - 6) + 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**8\/672 + k**7\/105 + k**6\/80 - k**5\/30 - k**4\/12 - 747*k**2. Solve f(n) = 0 for n.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1001 - 1002. What is the third smallest value in 2, u, -416?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297 smaller than 3297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/202213 and 19\/77?\nAnswer: 1415491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 60 = 0. Suppose j = p - 9. What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let y(a) be the second derivative of a**5\/120 - a**4\/8 + 4*a**3\/3 + 2*a. Let r(q) be the second derivative of y(q). Give 3*d(g) + r(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0*k, 3*w - k = -34. Let l(d) = 1 - 1 - 1. Let c(i) = -2*i**2 + 4*i + 8. Let j(q) = w*l(q) - c(q). Factor j(v).\nAnswer: 2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2. Let k(h) = -2*h - 37. Let u(b) = b**2 - 7*b - 31. Let x be u(8). Let r be k(x). Let m(s) = 5*s + 7*s - r*s + s. Give v(m(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74*w**3 - 2*w**2 - 545.\nAnswer: 222*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 858.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 214.371nm?\nAnswer: 0.000214371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 401, 659, 955, 1289, 1661, 2071?\nAnswer: 2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/7 - 60*s**3\/7 - 53*s**2\/7 + 354*s\/7 = 0.\nAnswer: -59, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 28*o - 5. Determine c(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258 + 180. Let k = q - -20. Let y = k + 135. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {b: 4, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.115868km in micrometers?\nAnswer: 6115868000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-20) - 6\/(-4). Let x(z) be the third derivative of 2*z**2 - 1\/6*z**3 + h*z - 1\/30*z**5 + 0*z**4 + 0. Differentiate x(w) with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7392762, 7392764, 7392768, 7392774, 7392782, 7392792, 7392804?\nAnswer: 7392818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -27, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (sqrt(153) - (-2 + sqrt(153))))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/(b**(-20)\/b))\/(b\/(b\/(b\/(b**(2\/13)\/b*b))))**(-12\/17) assuming b is positive.\nAnswer: b**(43399\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2.1, -3\/11, 1\/8, -4.\nAnswer: -4, -3\/11, 0.1, 1\/8, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*o - 376 = 1684. Let l(a) be the first derivative of -3*a**o + 0*a - 1\/2*a**4 - 11*a**2 + 0*a**3 + 15. What is the second derivative of l(f) wrt f?\nAnswer: -180*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17731738, -17731739, -17731738, -17731735, -17731730, -17731723, -17731714?\nAnswer: -17731703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8443.71 millennia in years?\nAnswer: 8443710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 - 10*b + 2. Let y be s(-8). Let q = -97 - y. Let o be (-162)\/(-12) - (-2)\/(-4). Is o <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 83, 118, 157, 194, 223, 238, 233?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -65*w**3 + 13*w**2 - 13*w - 13. Let t(f) = -26*f**3 + 5*f**2 - 5*f - 5. Suppose 62 = -5*x + 3*c, 62*x = 66*x - c + 51. What is x*t(d) + 5*u(d)?\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-55))\/8 + (-668)\/44 + 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-90)\/(-25) + -4)*-10. What is the second derivative of -4*h - 7*h + 3*h**4 + h**n wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let f(d) = 58*d**2 - 37*d**2 - 6*d**2. Give g(f(m)).\nAnswer: 450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4*s**2 + 2*b**2*s**3 + 3*b**2 + 19*b*s**3 - b - s**3 wrt b?\nAnswer: -36*b**2*s**2 + 4*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v + 2. Suppose b = -5*a + 6, -3*b + 1 = 3*a - 5*a. What is the tens digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -23. Let y be 10\/4*c\/15. Suppose -d + 993 = y*o, -2*d + 4*d = 5*o + 1960. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1. Let q(c) = 5*c - 3. What is -5*h(s) + q(s)?\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 10, -10.\nAnswer: -10, -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from aapapaappa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294822.\nAnswer: 2, 3, 11, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9057 and 417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26266 is divided by 3785.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14592697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -19. Let o(v) be the second derivative of 0 - 1\/3*v**3 + 2*v - 1\/2*v**2 + 1\/6*v**4. Calculate o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108711, -217408, -326105?\nAnswer: -434802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/7 - 816*z**2\/7 - 5022*z\/7 + 22356\/7 = 0. Calculate z.\nAnswer: -9, 3, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o + 0*o - 2*o as x + d*o and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (10\/(-14) + 1). Let r = -1 - 8. Let w = 9.5 + r. Which is the biggest value? (a) w (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in decades?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5\/21 (c) 2 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 106 (c) 0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*k, 20*k + 7378 = -5*y + 7313 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*h = 231*h + 480*h + 16907 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297 - -301. Let s = 0.2 + 0.3. Which is the second smallest value? (a) -3 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 29) + 16 + 34 - 67.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74678 and 2170.\nAnswer: 81025630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2))**(-2\/7)*q**(10\/3)*(q**11\/q)\/q assuming q is positive.\nAnswer: q**(256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1917\/(-2556))\/((630\/16)\/(-3)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24182453 (base 9) to base 7\nAnswer: -202225053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66916 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 7 = -118. Suppose -v + h + 4 = -0*h, 5*v - h - 12 = 0. Which is the closest to f? (a) 3 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 466? (a) 0.07 (b) -2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 29, 0 in decreasing order.\nAnswer: 29, 0.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85349 times 0.03121?\nAnswer: -2663.74229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 6269.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 3*m + 2 - 38 = h. Suppose 2*b = -2, 52 = 5*o - 4*b - 62. Calculate the remainder when o is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 109*u + 28157. Calculate n(-122).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5553bc (base 16) to base 9\nAnswer: -11462688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, s: 1, g: 2, a: 3, m: 5}. What is prob of picking 1 s and 2 a?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 286*n**2 - 443?\nAnswer: 572*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4824\/11256*14\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (4 + -17 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 5 (c) -14 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:32 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10593 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -267 divided by -267\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -134210 + 21490. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*k**2 + 3*h*k - 308387*h - k**2 - 18155*k - 7 wrt k.\nAnswer: 4*h*k + 3*h - 2*k - 18155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)*a)\/a)**41\/(a\/(a*a**(-1\/2)))**(2\/71) assuming a is positive.\nAnswer: a**(2909\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143769488?\nAnswer: 2, 8985593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -3*f**5\/20 + 6*f**3 + 24*f**2 - 913*f. Find h, given that x(h) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2332.2507 months?\nAnswer: 1.94354225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64920, 64899, 64872, 64839?\n\"Answer: -3*f**2 - 12*f + 64935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 33. Suppose -15 = -16*x + b*x. Let k(r) = 15*r - 15. Let g be k(x). Calculate the greatest common factor of g and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*i**3 + 4*i**3 + 8*i**3)*(-11*i + 45 - 45) as l*i**4 + a*i + s*i**3 + z + t*i**2 and give l.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {f: 1, c: 1, o: 1, x: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 573217*f**4 + 4*f**2 - 2*f + 12475641?\nAnswer: 2292868*f**3 + 8*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*u - 144 + 168, 4*u + 25 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f, -2*q + 5*f = -4*q + 4. Let x(l) = -3*l + 3*l**2 + 3*l - q*l**2. Let p(i) = 2*i**2. What is x(p(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -5.\nAnswer: 432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 + 8. Let k(m) = -5*m**2 + 3. Let y(h) = -4*h**2 + 2. Let f(s) = -3*k(s) + 4*y(s). Let w(o) = 2*f(o) + n(o). What is w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**4\/20 + 134*q**3\/15 + 2176*q**2\/5 - 9248*q\/5 + 2324. Let z(r) = 0. What is r?\nAnswer: -68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28530 and 2.\nAnswer: 28530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:38 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -676, 1305, -171 in increasing order.\nAnswer: -676, -171, 1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22904979 to the nearest integer?\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68873127.\nAnswer: 3, 311, 73819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - m - 2. Give z(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25304, -49791, -74278?\nAnswer: -98765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2 - (-69)\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbdobddoododdhbobo. What is prob of picking 2 o, 1 h, and 1 b?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127 and -51449?\nAnswer: 6534023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5*o + 1)*(3 - 3 + 4*o).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, -1052 in descending order.\nAnswer: 5, -42, -1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**5\/120 - x**4\/6 - x**3\/3 + 4. Let t(r) be the third derivative of n(r). Let p be t(4). Solve -z = -p*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let s = -164 + 164. Sort g, 2, s.\nAnswer: s, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -57*u - 1311. Let j be t(-23). Which is bigger: j or 13\/81?\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -676 - -2030\/3. What is q in 2 - 2\/9*q**3 - 10\/9*q**2 - d*q = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(162)*3 + sqrt(162) - sqrt(162)) + sqrt(162))*3 + 1)**2.\nAnswer: -648*sqrt(2) + 23337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-91) - (-24)\/13. Let x = 9 + -5. Solve -p - i = o, -2*p + 0*o - o - x = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 2}. Give prob of sequence kqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/29, 0.4614, 3, -1.4, 0.5, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let n(y) = 6*y - 21. Give -n(g) - 5*p(g).\nAnswer: -g + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {l: 2, c: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9cb + -e?\nAnswer: 9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 671 - 674. What is the second biggest value in -0.45, -2\/9, -1\/9, -1.5, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/995897 - -2987711\/4979485. Factor 3\/5*v + 0 + z*v**2.\nAnswer: 3*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 302635545 and 3966?\nAnswer: 605271090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = 2*h, -65 = -4*r + h. Suppose r*n = -20*n + 140. Determine x so that -24\/5*x - 8\/15 - 64\/3*x**3 - 10*x**n - 78\/5*x**2 = 0.\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*u - 7. Suppose 4*d + 0*r - 464 = -r, u = 2*r. Calculate the greatest common factor of 46 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) 15 (b) -5 (c) -1 (d) -0.2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 14. What is the smallest common multiple of 19 and f(6)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h + 36 = 0. Let x be 66\/(-10) + (-9)\/(-15). Is (1784\/h)\/(x\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2224532, 4449057, 6673582, 8898107, 11122632?\n\"Answer: 2224525*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.901492514399 - 0.04\nAnswer: 0.861492514399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111596.83s to days.\nAnswer: 24.439778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20 = 5. Suppose -g*c = 3*c. Suppose -4*k - 5*t - 8 + 82 = c, -k - 5*t = -11. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**3\/11 - 3744*y**2\/11 - 96366*y\/11 + 207756\/11 = 0.\nAnswer: -597, -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 - a + 1. Let y(p) = 2*p**3 - 6*p**2 - 3*p + 9. Let l(b) = -r(b) + y(b). Give l(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23946273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-182)\/286 - (-1 - (9 + 1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 4*s, x - 2*s = 2*s - 8. Suppose -x = -10*k - 2*k. Let p(y) = 8*y**3 + 2*y**2 - 1. Determine p(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510 and 59568.\nAnswer: 297840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -528\/7*k**3 + 4902*k**2 + 2\/7*k**4 + 10108*k + 0 = 0.\nAnswer: -2, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*h, -t - 15 = 5*h - 37. Suppose 0*n = -n + t*g + 91, 5*n - 437 = g. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*3*(-35)\/(-15). Calculate the remainder when (-695)\/h + (-1)\/(-7) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 4*o**3 - 4*o**3 - 7*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21838159 to the power of 1\/2, to the nearest integer?\nAnswer: 4673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*q + 29 = q, 3*q + 41 = 4*h. Suppose 5*t - 28 + 8 = 0. Let j = t + h. Calculate the smallest common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 4415*r**4 - 976810*r**3 + 967990*r**2 + 976815*r - 972405 = 0.\nAnswer: -1, 1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6822060*h**3*l**4 - 35936*h**3*l + 42*h*l wrt l?\nAnswer: -81864720*h**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 22 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -489386050*o**3 - 464592919*o**2?\nAnswer: -2936316300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 17*x - 18*x - 16, 4*x + 12 = 3*t. Let i(o) be the third derivative of 0 + x*o + 7\/24*o**4 - 4*o**2 + 0*o**3. Let f(b) = 2*b. Calculate f(i(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:22 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-10364\nAnswer: -1036.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.1, -781.\nAnswer: -781, -15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/2 - i**4\/2 - 9*i**3 - 9*i**2 - i\/2 + 3\/2 = 0. What is i?\nAnswer: -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 267*g + 4555. Let f be v(-17). Sort 59, f, 3 in descending order.\nAnswer: 59, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -8*c + 3*h, 0 = -4*c - 3*h - 27 - 7 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**3 + 6*z**2 + 9*z + 5. Let m be p(15). Let y = m - -80760. What is y rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 - 2*s + 1. Let w(z) = -2334*z**3 + 2*z**2 - 2*z + 1. Calculate -n(u) + w(u).\nAnswer: -2333*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.7328ml in litres?\nAnswer: 0.5517328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*c + 2*g, -63 = 4*c - 4*g - 119. Solve c*q = 28*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 262965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50708718227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*f + 2 = 4, 0 = 2*l + 2*f - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -2. Let h be a\/(-9) - (-64)\/6. Suppose 5*g = -n - 116 + 392, g = -4*n + 59. Calculate the greatest common factor of g and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007139673 to 4 dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -87730, 1, 242 in increasing order.\nAnswer: -87730, 1, 2, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2 = 2*j, 3*g + 0*g + 3*j = -6. Suppose -5*b + 45 = -g*b. What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336 is divided by 442.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 2*i**2 - 152*i**2 - 370*i**2)*(-2*i**3 + 0*i**3 + 4*i**3).\nAnswer: -1054*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046.31199 rounded to the nearest integer?\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/84 + 5*f**3\/21 - 25*f**2\/14 - 14*f. Find h such that i(h) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2361, 6435, 10509?\nAnswer: 14583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -420, -412, -392, -354, -292?\n\"Answer: u**3 + u - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = n - 9*n + 100 + 1700 for n.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l + 4 - 4 + 3*l + (-1 - 1 + 1)*(2*l - l + l))*(1013*l + 18*l - 218*l).\nAnswer: 1626*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -555.69 and 23?\nAnswer: 578.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 15 = 5*j, -27*n - 5 = -26*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 2. Suppose l + f = 2*l. Suppose -12 = -5*q + 9*q. Sort l, 5, q in ascending order.\nAnswer: q, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4915, -5182, -5449?\n\"Answer: -267*p - 4648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829686653 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*n = -627*n - 107*n - 112*n - 76120 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(12\/9 - 2). Suppose -4*o = -16, 0 = -m - 2*o + 2 - 3. Let s be m\/(-2)*9\/(-27). What is the second smallest value in g, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2243, -4645, -7049, -9455?\n\"Answer: -i**2 - 2399*i + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*i + 55, -5*c - 163*i + 162*i = -17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12 = 4*k. Is (129\/k - 2)*-2 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 2296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*v - 31, c - 26 = -4*v + 6*v. Suppose -4 + c = 4*l. Solve l*f - 5*t - 3 = 3, -10 = -5*f + 4*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89023745333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -111001011110?\nAnswer: 111001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.7. Let j = 4 + -3.9. Let r = 5.1 - j. Which is the nearest to 2\/5? (a) r (b) 3\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2132123?\nAnswer: 2132113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + z. Let n be u(1). Let g(y) = -4*y - 5 - 4*y + 5*y + n*y - y**3. What is g(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2030807101 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:47 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (-6)\/(561\/(-88) + 6). Solve 5*j + b*u - 5*u - 6 = 0, 0 = 3*j - 2*u - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {h: 2, q: 1, t: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/495 and (57\/462)\/(145\/(-58)).\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 252 = 88. Suppose -i - 141 = -3*x, 85*x - 84*x + 4*i - 21 = 0. Let q = x + n. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1344)\/(-49)*7\/1. Let t(i) = -i**2 + 7*i - 2. Let f be t(6). Does 18 divide (6\/8)\/(f\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 divided by 1?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (-1 - (9 + -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -606 (c) -1 (d) -3 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epepeppppepqe. Give prob of sequence pq.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*m - 2*m + 16 = 0, 1 = -2*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 7\/26 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3, -79*w + 80*w + 3 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 8*l**2 + 33*l - 3. Let h be n(-11). Which is the smallest value? (a) 0.5 (b) -4 (c) h (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*i + 211, 10*i - 171 = 6*i - 5*d. Factor q**3 + i*q**4 - 30*q**4 - 22*q**4 - q + 3*q**2.\nAnswer: -q*(q - 1)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - s + 14 = 0, 4*h - 2*s - 51 = -7. Let y(p) = -p + 0 - 4 + 2*p. Let k be y(h). Solve -2*l + 3 = -k*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 352 + -355. Which is the fourth biggest value? (a) 5 (b) -2\/43 (c) -4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26 - (-1 - (-10)\/2). Suppose -5*r - 14 = 2*p, -4*r = -2*p - 0*r + x. Solve -1 = -m - p*y - 6, -4*m + 5*y = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1530 and 145414872.\nAnswer: 727074360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 57*k - 5. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.1 (c) 1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/11)*z**(-2\/11))\/(z**(-4)\/((z*z\/(z**(-6)*z*z))\/z)))**(-23))**(1\/5) assuming z is positive.\nAnswer: z**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027266827 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59, -91, -151, -245, -379, -559, -791?\n\"Answer: -l**3 - 8*l**2 - l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -806370.8?\nAnswer: -161274.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430015012 and 1736.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/4 + s**3\/3 + s**2\/2 + 9*s - 4. Let q be h(0). Solve 0 = -y - 2*y + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 859*a**3 + 16.\nAnswer: -859*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*y - 9 = 0, 0 = 3*p + 5*y + 2445 - 2463 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n**3 - 11*n**2 + 47*n + 124. What are the prime factors of g(-19)?\nAnswer: 2, 13, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5799.\nAnswer: 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8661 + -52. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -179. Let o = c - 71. What is the second smallest value in -1, -5, 0.3, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316165314 a multiple of 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 78 = -z. Let d = z - -67. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*k - j, k - 2*j - 68 + 63 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 247937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsn when three letters picked without replacement from sqnqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1*3 - (sqrt(88) - 3*sqrt(88)*1))\/(-6*sqrt(512) - sqrt(32)))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -747 divided by 285\nAnswer: -249\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9796, -8576, -7352, -6124, -4892?\n\"Answer: 2*f**2 + 1214*f - 11012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (-1 + sqrt(605))*-6)**2.\nAnswer: -924*sqrt(5) + 29681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3936503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)\/n*n*n*(n*n*(n\/(n*n**(-2\/23)))\/n*n*n)\/n)\/(n\/(n**(-1)\/n))**31 assuming n is positive.\nAnswer: n**(-10294\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 868 - 812. What is the highest common factor of b and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203479 + 11081*j**4 - 1420*j**2 + 6757*j**2 + 203479 + 4729*j**2 wrt j.\nAnswer: 265944*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*i - 10. Suppose 2*z - i*n - 280 = 145, 642 = 3*z - 3*n. Calculate the greatest common divisor of 31 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or -6\/23?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 48. Let l(k) = k**3 + 7*k**2 + k - 7. Let o(x) = -x**2 + 3*x - 2. Let b be o(4). What is the remainder when l(b) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n**3 + 18*n**2 + 11*n - 8. Let a(w) = -11*w**3 - 10*w**2 - 6*w + 4. Let i(r) = 7*a(r) + 4*y(r). Suppose 4*u + 3 = 15. Calculate i(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5)*r)**(-4\/23))**(-42))**(1\/11) assuming r is positive.\nAnswer: r**(504\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6))\/t**4*(t*t*t\/((t\/(t**(-1\/2)*t*t))\/t)*t*t)\/(t\/(t*t**(-1\/5))) assuming t is positive.\nAnswer: t**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.844002776 to 2 decimal places.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5589.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and -1.22.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208100389.\nAnswer: 7, 23, 1292549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 4*b = -158, -651*g + 650*g - b + 44 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*l**2)*(1 + 3 + 1) + (6*l**2 - 3*l**2 + 0*l**2)*(1 - 1 + 1).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14417?\nAnswer: 13, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11058\/33835 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.3784 - 10.9843. What is i rounded to 1 decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -512*v - 1009. Let o be q(-2). Which is the third smallest value? (a) 0 (b) -218 (c) -5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2515 - -5503. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = s - 2*s, -4*i = -6*s - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 25 = -5*y - 30, 2*d - 34 = 2*y. Suppose 3*i = -0*i + d. Let n be (6\/5)\/(-6 + 224\/35). Sort 4, n, i in descending order.\nAnswer: i, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12*n**3 - 6*n**2 + 23*n + 4. Let c(b) = -22*b**3 - 11*b**2 + 48*b + 9. Calculate -9*a(j) + 5*c(j).\nAnswer: -2*j**3 - j**2 + 33*j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -103*g**2 + 197*g**2 - 95*g**2. Let k(w) be the first derivative of -8*w**3\/3 + 1. Calculate 4*k(q) - 28*y(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 2*w + 3. Let m(g) = -8 - 2*g - 3*g**2 + g + 3 + g**3. Let h be m(4). Let i = h - 3. Determine z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(-1))\/k)\/(k*k**8*k))\/(k**(1\/2)*(k**(-2)\/k*k)\/k))**(-1\/31) assuming k is positive.\nAnswer: k**(15\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 7. Suppose -2*o - d = -49, -24*o + 21*o + 6*d + 111 = 0. What is the lowest common multiple of o and m(-11)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233822 is divided by 116906?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 + 193. Let v be (-152)\/224 - (6\/8 - m). What is the closest to 2\/7 in v, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-15))\/((-20)\/50) + 2302. Let c = 10439 - a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*n = -45, 3*u = -u + 5*n - 1. Calculate the remainder when 47 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6*2)\/(-1 - -4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + c = -102, -2*m + 5*c = m - 70. Calculate the remainder when 138 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.059 - -4.2435. Let j = 1337 + -1343.3. Let t = m + j. What is t rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c + 19*c - 8*c + 4. Calculate q(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 + 69422033*t**2 - 12943831*t wrt t.\nAnswer: 12*t + 138844066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-72))\/(2\/18*(-21)\/(-35))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1283 or 1294?\nAnswer: 1294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o - 5. Let b(x) = 19*x + 8. Let l(y) = -5*b(y) - 8*k(y). Suppose 4*q - 65 - 143 = 0. Let g(s) = 21*s**2 + 52*s - q*s. Determine g(l(a)).\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.6 + -6. Let h(u) = -u**3 + 2*u**2 - 2*u + 3. Let d be h(2). What is the closest to d in -2\/3, -4, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18951869*m**4 - 6*m**3 + 2*m**2 + 463405*m + 7 wrt m?\nAnswer: -454844856*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 95\/59617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*u**2 - 2*f**2 - 7*f*u**2 + 2*u**2 + 1084*u wrt f.\nAnswer: 4*f*u**2 - 4*f - 7*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 71896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**3 + 12*g**3 - 32*g**3)*(-1 - 3 + 3).\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from fwwwwkwsk?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (532\/(-1463))\/(384\/(-176)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -213022 (base 6) in base 9?\nAnswer: -26015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**2 + c + 1. Suppose 1 = -a + 8. Suppose -p - a*j + 14 = -3*j, 4*p - 4*j + 4 = 0. Calculate the remainder when i(p) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t. Let j(x) be the second derivative of 3*x**4\/4 + x**3\/6 + 59*x. Determine f(j(c)).\nAnswer: 36*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-18))\/(664\/84 + -15 + 7).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1823830.7 + -1823831.9900129. Let d = -2.86 + 4.15. Let w = x + d. Round w to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, a: 2, b: 1, d: 3, f: 2, t: 1}. Give prob of sequence ft.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 4)*(333*s - 1438*s - 10249*s - 1901*s)*(2 + 1 - 5) as w + o*s and give o.\nAnswer: -53020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l. Let v(d) = -11*d**3 + 2*d. Suppose 0 = 46*j - 52 - 40. What is j*n(c) + v(c)?\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 273046.6 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -392*d - 106. What is the tens digit of c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 553*j + 11862. Let d be f(-20). Factor -6\/11*g - 1\/11*g**d - 5\/11.\nAnswer: -(g + 1)*(g + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 52136*k + 1563847. What is l(-30)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -449 in 10\/23, -113, -1?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23115 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/14)\/(42\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3668571l to millilitres.\nAnswer: 366.8571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*-3 + -2. Let u = 0 + 1. Is (a\/3)\/((-2)\/6702)*u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 15*s**2 + 7*s. Suppose -7*t + 2*t - 70 = 0. What is the units digit of c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwi when three letters picked without replacement from wwiwiwwi.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777, -7075, -15897, -28243, -44113, -63507, -86425?\nAnswer: -112867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsix when four letters picked without replacement from irirsbxa?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -229*n + 227*n + 6, 3 = -n + 2*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24931 + 7192 = -81*s. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -22*c**7\/21 + 367*c**6\/120 - 17*c**5\/15 - 85*c**4\/24 + c**3 + 11*c**2. Find d such that x(d) = 0.\nAnswer: -2\/5, 3\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -131, -125, -125, -137, -167, -221, -305?\n\"Answer: -c**3 + 6*c**2 - 5*c - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.0156132 seconds in weeks?\nAnswer: 0.000059549625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1202 = x + 349, -3*o + 4*x + 635 = 0. Let m = -152 + o. Suppose -2*i = -6, -4*t + m + 72 = 3*i. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -64. Suppose -4*z = 2*k - 6, z - k = o*k + 18. Solve -12 = c + z*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 8, -0.3, 0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -v + 32, t - v + 38 = 42. Solve -t + 1 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1)*(2 + -1). Let y be 7 + (2 - 2) - p. Suppose 3*l = y*g + 53, 7 = 3*l + g - 22. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - -12.78. Let z = p - 13.4. Let j = -0.4 - -0.1. Which is the smallest value? (a) j (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*y**3 - 8*y**2 - y + 54*y**3 + 44*y**3)*(-48*y + 12*y - 6*y + (0 + 0 + 2)*(-2*y + 3*y + y)).\nAnswer: 76*y**4 + 304*y**3 + 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*s - 1091 + 664, 2*s + n = 288. Solve 0 = -12*w + 83 - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3811707, -3811713, -3811723, -3811737?\nAnswer: -3811755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - (-6665)\/(-86). Let g = t + 150. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + 169\/39)*49659.\nAnswer: 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-5))\/((-426)\/(-213)))\/((-2)\/30)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/15 - 28*l**2\/3 - 7018*l\/5 + 524784\/5.\nAnswer: 2*(l - 87)**2*(l + 104)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -294343 - -0.6014.\nAnswer: -294342.3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.058611 + 0.441389. Let j = 63.27 + -63. What is the biggest value in j, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(325) + 0 + sqrt(325))*1.\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241\/98593 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from cllylbyyynny?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99.11 + -10.75. Round w to zero dps.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 3361.\nAnswer: 124357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4605464 kilograms?\nAnswer: 460546400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3672, 5, -1, 2, 0, -4 in descending order.\nAnswer: 5, 2, 0, -1, -4, -3672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5796450 and 85\/6144237.\nAnswer: 307211850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1327*g**3 - 2142*g**3 + 4041*g**3 + 3486*g**3 + 1666*g**3.\nAnswer: 8378*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = -5. Let q be (v - (-5)\/1)*24\/(-30). Let o be (2\/q)\/(-1)*1. What is the nearest to 2 in -0.02, -5\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:35 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:38 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168212635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 57. Suppose 0 = b*o + o - 6. Let j(y) = -3*y + 3. Give j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18088)\/(-255))\/152)\/((-63)\/30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**4 + 6*p**4 - 4*p**4)*(40 - 37 - 70 - 226) to the form s*p**4 + j*p**2 + b + y*p**3 + n*p and give s.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2730156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.166 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggv when three letters picked without replacement from bbbbbbbbbbbbgv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4022, 4028, 4022, 3998, 3950?\nAnswer: 3872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-4*b + 3*b + 7*b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let v be (-54)\/(-14)*(-2 + -23)*1. Let o = v + 96. Which is the nearest to y? (a) o (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0492038996 to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155833149 or -2?\nAnswer: 155833149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92818784.\nAnswer: 2, 2900587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1a0?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*n*r + c**2*n - 9*c**2*r + 751*c**2 + 34*c*n - 219*n*r - 6*r wrt c.\nAnswer: 4*n*r + 2*n - 18*r + 1502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:33 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*c - 275*c = -4*v - 26, 4*c + 49 = -5*v for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 16*o - 988. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 2*w - 27, -23 = -d + 12683*w - 12681*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262488 is divided by 4491.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 6*d. Let n(a) = 3*a**3. Let b(c) = c**3 + c. Determine d*n(g) - 2*b(g).\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 15554722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((462\/(-8))\/(-11))\/(1\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26433727*z - 26548674?\nAnswer: 26433727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29 + -35)\/((-3)\/2 + 0). Suppose -n = 2*k - 20, 4 + 2 = -3*n. Let f be 2\/(-4) + (-2)\/(-4). Put k, h, f in decreasing order.\nAnswer: k, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -3, -1\/4, -19\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -1.6. Let u = -139 + 151. Let l be -2 - ((-14)\/(-3) + 4\/u). Which is the third smallest value? (a) z (b) -5 (c) l (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.96 + 0.96. Let y = l + 47.5. Is -0.1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2130.8 - 2132. Which is the nearest to q? (a) 5 (b) 0 (c) 3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13385?\nAnswer: 5, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103247698 or -103247697?\nAnswer: -103247698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f - 71. Let v be h(-10). What is the greatest common factor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/11, -58\/11, 6 in ascending order.\nAnswer: -58\/11, -1\/11, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12))\/sqrt(6)*2 - (2 + sqrt(200) + -3 + sqrt(200))**2.\nAnswer: -801 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 68. Solve 5*r = -5*q - z, -21 = 5*q - 0*r + 2*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by 91?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1912*r**2 + 7654*r - 5. Determine b(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14406 and 4992.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**5\/7 - 108*a**4 - 24*a**3\/7 + 9040*a**2\/7 + 1728*a = 0.\nAnswer: -2, 0, 4, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, c: 3}. Give prob of sequence bcbc.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 612916 or 1838752\/3?\nAnswer: 612916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 612\/(-72)*(-1)\/(-36). Is 0 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/10 and 51\/14629.\nAnswer: 146290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5257, 1, -3, 5 in decreasing order.\nAnswer: 5257, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 113638424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*r + 105, -r - 43*d + 25 = -48*d. Solve -4422*x + 4412*x + r = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68830 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 286393 < 286402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14272001.\nAnswer: 43, 331907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 253*j**2 - 50. Let t be c(8). Let w = t + -8223. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1637\nAnswer: 6\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8632.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*v - 140055, -140100 = -5*z + 8*v - 4*v. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4860 and 18450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115648 - 0.497693.\nAnswer: 115647.502307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.6, 175400\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8065 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*f. Let c = -39236 - -39240. Which is greater: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 87 + 168 = 3*v, -2*m + 425 = 5*v. Let t = -30 + v. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {k: 7, o: 1, v: 6, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 - a**3 - 4*a**3 - 5*a**3.\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from {g: 5, m: 11}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 9*y + 89. What is the remainder when 342 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10 and 155\/1428.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 + 2\/(-10)*71. What is the common denominator of (x - -12) + (-11)\/(-60) and -131\/66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 8*q + 16. What is the remainder when 79 is divided by l(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1016 and 119164100?\nAnswer: 238328200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*t - 1. Let w(s) = 13*s**2 - s + 2. Let l(n) = 7*n**2 - n + 1. Suppose 16 = 2*k + 10. Let b(d) = k*w(d) - 5*l(d). What is b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 41*g + 145. Sort -0.21, g, -0.3.\nAnswer: -0.3, -0.21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/4 + 73*o**3\/6 - 11*o**2. What are the prime factors of y(0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -75, -120, -165, -210?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2\/4 - 3081*p\/4 = 0. Calculate p.\nAnswer: -1027, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - (-5826)\/(-528) - (-7)\/(-77). Is -20 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6)*21\/2. Suppose 2*k + 21 = i*k - 3*d, -3*k + 5*d + 19 = 0. Solve 0*s + k*s = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**3 + 1443 - 4*p - 1474 + 2*p to the form n*p**3 + y*p + j*p**2 + r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 45 = 129. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-35)\/(-20))\/((-2)\/(-16)). Let r be 2\/k - 81\/(-21). Suppose -68811 = -r*x + 2*p + 291193, 3*p = -5*x + 449994. What is x rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 0*q - q**4 + 4*q - 3*q - 2*q**3 + 2*q**2 in the form l*q**4 + d + f*q**2 + u*q**3 + n*q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0947532 to 3 dps.\nAnswer: 4.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s**3 - 29*s**2 - 83*s - 10. What is the units digit of h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 184000\/(-6)*-30*25. Round u to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((4\/9)\/((-668)\/167)). Solve 2*c + p + 6 = 0, -7*c + 2 = -5*c - u*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -17*q**7\/42 + 243*q**5\/20 - q**4\/4 + q**3\/6 - 30*q**2 - 21*q. What is the third derivative of x(j) wrt j?\nAnswer: -1020*j**2 + 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 + 23 = 0. Calculate the remainder when 73 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*p = 611*p - 399 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 880156 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672744.\nAnswer: 2, 23, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r + 6. Let v = -7 + 4. What are the prime factors of n(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416778 > 5834887\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 8236 - 8070 = -n, 4*x + 172 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrrllcdllclrclllrc. Give prob of picking 2 l.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 22058118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose 0 = 4*v - d - 5. Suppose -98 = -5*f + 4*a, 2*f + a = -4*a + 59. What is the highest common factor of v and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -80*p**2 + 8*p + 6. Determine m(1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2*l*l*l**(-3\/5)*l*(l**(-1\/2)\/l)**(-18))**(2\/83))**50 assuming l is positive.\nAnswer: l**(3140\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/53010 and 101\/294120?\nAnswer: 9117720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + x**2 + 2*x + 6. Let g be q(7). Let n = g - -905. Suppose -y = 3*y - n. What is the greatest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 + 5*x**3 + 215*x**2 - 425*x + 210 = 0.\nAnswer: -7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 133816396*i\/3 - 44605466.\nAnswer: 2*(i - 66908199)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1851 + -1850.9. Suppose -9 = 8*d - 5*d. Let k be 9\/d*6\/99. What is the third biggest value in k, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -10) + (3 - (0 + -1)). Solve 0 = l + d - 6*d - 19, 0 = l - 2*d - n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -7250 (c) -0.5 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 28. Let q be n(-17). Suppose -2*p + 5 = -5. Solve -z = -q*z - p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*r - 612 = 88*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 3*v + 2*v + 25 - 23 + 2*v**2 to c*v + l + h*v**2 + g*v**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -21, -439, 28, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.277506 litres in millilitres?\nAnswer: 5277.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kklkkkkkkklk?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-9)\/(-30)*215*(-668)\/(-21543).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:31 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -3*o**5\/140 + 11*o**4\/2 - 152*o**3\/7 + 234*o + 5. Factor g(r).\nAnswer: -3*r*(r - 152)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142320 divided by 3558.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114679 - 114674. Let z = -18 - -13. Which is the second smallest value? (a) -4 (b) -8 (c) z (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -5113b?\nAnswer: -51131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42135 + -42062. Solve -54*u - 359 = z for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 9:55 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 420 = 15*h. Let m = h - 46. Let b(o) = -o**2 - 4*o - 4. What is b(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000412906193 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, d: 6}. What is prob of sequence dvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.41 in -5, 0.1, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v - 32*v**4 - 56*v**4 + 5*v**2 + 16*v**4 + v**4 wrt v.\nAnswer: -1704*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832 is divided by 494.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2)\/sqrt(6) + 5 + (sqrt(19) - sqrt(76)\/sqrt(4)) + sqrt(19) + ((sqrt(57) - 2*sqrt(285)\/sqrt(5)) + sqrt(57))\/sqrt(3).\nAnswer: 5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1338 = -5*p + 1487. Suppose -3*b - 226 = -5*u + 3*u, -b - p = -5*u. What are the prime factors of 2\/(2\/(u + 1 + 2))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) 0 (b) -0.4 (c) -2 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 20 = -6*c. Suppose 0 = 4*s + c*h + 55 - 11, 4*s - h = -59. What is the units digit of 16\/8*s\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {u: 1, g: 1, r: 4, w: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50863 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -25*z**2 - 640*z + 470. Let k(o) = o**2 - o + 5. Let t(p) = -h(p) - 5*k(p). Factor t(x).\nAnswer: 5*(x + 33)*(4*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 23. Suppose v + 1 = -a*r + 2, 4*v + 5 = r. Sort -2, r, 3 in decreasing order.\nAnswer: 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)*-1)**2 - sqrt(432)) + -5 - ((sqrt(432) - (0 + sqrt(432))) + sqrt(432) + -5))*-5.\nAnswer: -2160 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -3. Let c(v) = 29*v**2 + 7*v - 6. Let g(w) = 18*w**2 + 5*w - 4. Let q(s) = 5*c(s) - 8*g(s). What is q(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 125933.67400149 and 4.\nAnswer: 125937.67400149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.55404 + -0.01404. Let b = q + -49. Let z = b + -0.5538. Round z to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qipuurrk. What is prob of picking 1 u and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800620926 to the power of 1\/2, to the nearest integer?\nAnswer: 69287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2)*(-5)\/(-15)*2. Suppose -j*c = -f - 12, 4*c + 2*f - 12 + 4 = 0. Solve -3*y + c*g = 0, y - 1 = g - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (1 + -2)*1*30\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/20 + h**4 + h**3\/6 - 5*h**2 - 2*h + 3. Give m(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 640487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/298013852 and -91\/44344.\nAnswer: 596027704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.00501*-2.203\nAnswer: -0.01103703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65060 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -5, -2\/87 in descending order.\nAnswer: 67, -2\/87, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 188 + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/12)\/(596\/1192)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*h - 0*h. Let l(b) = -b**2 + 9*b + 13. Let z be l(h). Calculate the highest common divisor of z and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423162434 by -2337914.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/87 + -97\/435. Let o = 1 + -6. Let t = o + 2. Sort 1\/6, h, t in increasing order.\nAnswer: t, h, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2060257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfpvfczvfcfvfkfpfzp. Give prob of picking 1 k and 2 v.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let d = -1 - q. Let c = 3\/67 + 101\/737. Sort d, c, 0.4 in ascending order.\nAnswer: c, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00856257 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.84 - 2.84. Which is the second biggest value? (a) 1\/5 (b) 2\/9 (c) z (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33421134*b**6 - 5*b**5 - 31414417*b**2 + 1 wrt b.\nAnswer: 4010536080*b**3 - 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d = 8*d - 108. Solve -d*a - 11 = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1812, -6833, -15124, -26685, -41516, -59617?\nAnswer: -80988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015720179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1127 = 2*d + 2*s, -4*s - 470 = -2*d. Suppose 0*n + d = 2*x - 3*n, -2*x = n - 223. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttccttzzctcct. What is prob of picking 4 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 13 - (-2 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 17*l**2 + 38*l - 41. What is s(10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = 2*u, 0*u + 3*b = -5*u + 19. Suppose -3*v = -179 + 182. What is the closest to 0.2 in v, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 525698 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*6)\/((-8)\/4). Suppose 49 = h*c - c + 5*w, -3*c = 5*w - 71. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 15*z - 26. Let v(t) = -t - 21. Let m be v(-4). Let w be r(m). Let o(i) = 3*i**2 - 18*i + 24. Does 24 divide o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - j - 35 + 14 = 0, 4*u - 27 = j. What is the least common multiple of u and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3089 at most -2993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 592\/1749 - -4\/159. Factor -a*x**3 + 2\/11*x**4 + 2\/11*x**5 + 2\/11*x + 2\/11 - 4\/11*x**2.\nAnswer: 2*(x - 1)**2*(x + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**4 + 3*w**3 - 3*w**2 - 3. Let q(t) = 14*t**4 + 8*t**3 - 8*t**2 - 9. Let y(r) = 3*q(r) - 8*v(r). Find the first derivative of y(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 16*t + 6 = 0. Suppose 2*a - 98 = 3*v, t*a = 4*a + 3*v - 40. Suppose l - 11 = a. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3187 + -3185. What is the smallest value in 4, 258, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2450) - -1*sqrt(2450) - sqrt(2450))\/sqrt(10))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42183\/2 + -41086269\/1948. Let q = m - -417381\/177268. Let j = 3\/13 + q. Is j at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289226 and 511.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + r - r)*(-2*r + 2*r - 2*r) + 15260496*r - 15260496*r - 516*r**2 as u*r + b + x*r**2 and give x.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/((-3)\/(-44)). Let t be b - ((1 - 0) + -3). Suppose -u = -2*i + 7, 2*i - 5*u = 3*i + t. Is i at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*f + 5*o, 5*o - 4 - 16 = -f - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 566, 12, 52 in decreasing order.\nAnswer: 566, 52, 12, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/630 - 37*w**6\/90 + 431*w**5\/15 + 2812*w**4\/9 + 11552*w**3\/9 + 552*w**2. Factor p(s).\nAnswer: (s - 76)**2*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 0, -0.05, -2\/3 in descending order.\nAnswer: 0.8, 0, -0.05, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/278 + -1103\/2502. Let s = 68 - 48. Suppose 5*d = -5*b - s, -4*b - 2*d - 5 = 3. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-468)\/10)\/(-1) + 12\/(-15). Calculate the highest common factor of c and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:58 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, x: 1, t: 2, j: 2}. Give prob of sequence jjrj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 5) to base 3\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179123*j - 89557*j + 3 - 3 - 89552*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1090 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**4 - 102*t**3*u - 205*t**2*u + 65*u wrt t.\nAnswer: -168*t - 612*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 10259800\nAnswer: -13\/10259800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*q + 39604 - 43537 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f\/(f**(-6\/11)\/f)*f*f)\/f)\/f)\/(f*f**1*f))**(1\/11)*f**5\/f**(-3)*(f*f**(1\/2)*f)**(-14\/11) assuming f is positive.\nAnswer: f**(600\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 584 - 583. Which is the closest to 1\/2? (a) t (b) -16 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 243 + 65 - 259 + 3*d + d**3.\nAnswer: d**3 + 6*d - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -109088794 + -2?\nAnswer: -109088796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1026, -1985, -2922, -3825, -4682?\nAnswer: -5481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Let c = 2764 + -2764.5. Sort -2, z, c.\nAnswer: -2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*q + 344 = 2*q, -346 = -4*z - 3*q. Calculate the remainder when z is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43\/3 or -7732?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -717 times -2181?\nAnswer: 1563777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72083734 and -0.30396?\nAnswer: 72083734.30396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14796401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012120 + -1?\nAnswer: -12012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-10)\/940 - (-1672560)\/37976.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 93 - (-43 + -56) - 103\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-15)\/(-5)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 3. Let y be q(-4). Let k = y + 2. Differentiate 1 + k*c**2 - c**2 + 1 with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4208.2521 + -4208. Let t = a + -0.2522233. Round t to 6 decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 191.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7 - -8.08. Let w = y + -21.48. Round w to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3138585)\/(-72881) + 0 + 4\/(-62).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6560 and 1?\nAnswer: 6561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 minutes before 6:11 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, r: 3}. What is prob of sequence ri?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -385 in -16, 0, -0.2, 1\/4, -0.004?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:30 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30183 times -2\nAnswer: -60366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 70*y + 461 = 69*y, -2*y = -a + 458. What is the remainder when a is divided by 256?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2. Let q(s) = 1. Let m = -444 - -438. Determine m*q(i) + 3*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.07 + -8.09407. What is q rounded to 4 dps?\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -29*v - 4. Let d(s) be the third derivative of 5*s**4\/4 + 5*s**3\/6 - 13620*s**2. What is -2*d(p) - 3*u(p)?\nAnswer: 27*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 - 45 = -8*o - 36 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4*b = 19404, 2*b + 2767 = -4*g + 12489. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(((-16)\/(-48))\/(-1)*3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**4 + k**3*m**2 - 440*k**3*s**2 + 101*k**2*m**2*s - k**2*m*s**2 - 2*k*m**2*s**2 - 7*k*m**2*s + 16*k*m*s**2 wrt k.\nAnswer: 168*k + 6*m**2 - 2640*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a hour in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3318\/18249)\/((-7)\/(-33)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (0 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 1 + 5)*(-39*i**2 + 29*i**2 + 18*i**2).\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*h*k**3 + 5518*h*k + 29666*h - 3*k**4 - 33 with respect to k.\nAnswer: -66*h*k**2 + 5518*h - 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 4*w**2 - 7*w - 1. Let x be s(-5). Let p be ((-8)\/(-10))\/(8\/200). Solve x*m + p = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 74 - -13) + 68\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 16) to base 6.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c1 - -3?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/(-384))\/((-9)\/12))\/(140\/(-1596))?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0*l - l**2 + 2*l + 4*l + 7 + 2. Let c be y(7). Suppose -a + 0*w - 5*w + 35 = 0, 3*w + 18 = c*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 106*x - 108. Let j be h(-9). Calculate the greatest common divisor of j and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38281\/8 - -4793. Let k = 22359\/4994 + 129\/227. What is the common denominator of n and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.28 - -0.28. Let h = m - -43.5. Which is the nearest to -1? (a) -0.5 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 20*j - 2. Let a(g) = -15*g - 6. Let l(h) = 31*h + 15. Let b(n) = -5*a(n) - 2*l(n). Calculate b(y(t)).\nAnswer: 260*t - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50264 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -277012858\nAnswer: 2\/138506429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 67*o**6\/30 - 59*o**3\/2 + 3*o**2 - 33. Differentiate f(s) with respect to s.\nAnswer: 804*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:10 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 + -124. Is (-4629*2\/a)\/((-1)\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24302 or 24312?\nAnswer: 24302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381867185.\nAnswer: 3, 5, 17, 739, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76353 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4396.9937431 + -4397. Round d to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*o + 22 + 34, -5*w = -5*o - 115. Suppose -23 = -3*r + 4. What is the remainder when w is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1201 - -1203. Let r = -23 - -40. Solve -r = -4*d + 2*f + 3*f, -o*d + f + 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2. Let u(q) = -39*q + 5. Calculate y(u(b)).\nAnswer: 9126*b**2 - 2340*b + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13254 - 13245. Let u(w) = -w**3 + 8*w**2 - 6*w - 3. Let s be (-4)\/(-22) + (-150)\/(-22). Calculate the lowest common multiple of u(s) and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 17*d + 2*d + 2*d as v + r*d and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23370.0445 and -4.\nAnswer: 23366.0445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*x - 3406 = -16*x + 99*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 6. Let f = m + 5. Let z = f + 0.99982. What is z rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6767087\/34 or -199033?\nAnswer: -6767087\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 - -11) + -7 - -2) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93139110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-27)*(c\/((c\/c**1)\/c)*c)**(2\/37) assuming c is positive.\nAnswer: c**(-1968\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q - 5*n + 53 = 0, 2*q - 29 = -5*n. Suppose -2*y = 3*y - 4*x - 279, q = 3*x. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14362 and 13244?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(720) - (0 + sqrt(720) + -1) - sqrt(720) - sqrt(720)) + sqrt(720))**2*-4 + (6*(0 + sqrt(720)) + -3)**2).\nAnswer: -336*sqrt(5) + 23045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 - 0)*(8 - 9). Let o be (z - (0 - 12\/(-16)))\/3. Which is smaller: -34 or o?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100101 (base 2) in base 6?\nAnswer: -2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 388.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) - (sqrt(216) + (sqrt(216) - sqrt(216)*-2))) - ((-5 + sqrt(19)*-1)**2 + -4).\nAnswer: -231*sqrt(19)\/23 - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4357.\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y. Let d = y - -2. Suppose z + 2070002 = -3*j, d*z - 4217644 = 4*j - 1457648. What is j rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24097644 divided by 12.\nAnswer: 2008137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/746765 or 0?\nAnswer: -14\/746765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 10*c**2 + 23*c - 14. Let o be k(7). Let x(t) be the second derivative of 0*t**2 - t + o - 5\/6*t**3. Let d(a) = 2*a. Calculate x(d(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 43*g - 206. What is x(-38)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 3*w + w)*(-4*w + 0*w + 5*w) + 21*w**2 - 38*w**2 - 38*w**2 - 2*w as k*w**2 + g*w + c and give k.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2048, 10, -5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 104*v + 104*v.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 7, j: 5}. Give prob of picking 1 j and 2 c.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155724 divided by -4098.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 802410 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10845 - -10921 - (-1 + 40).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 2, -0.2, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 250 = 5*r. Calculate the remainder when 97 is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -y + z, -9 = 5*y + 12*z - 14*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05185 and 3?\nAnswer: 3.05185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 86*s + 257. Let x(o) = -47*o - 130. What is 6*l(q) + 11*x(q)?\nAnswer: -q + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -433, 116 in descending order.\nAnswer: 116, -10, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-5))\/(8\/(-10)). Let u = 1\/20 + q. Let h = -0.91 - 0.09. Sort 0.1, u, h in descending order.\nAnswer: 0.1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6493763?\nAnswer: 19, 341777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54b7 (base 15) to base 6\nAnswer: 215031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -2b3?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 1)*(0*t - 6*t + 0*t) - t + 4*t - 2*t to the form y*t + c and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168790 and 21824547.\nAnswer: 218245470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*y - 82, 0 = -2*f + 5*f + 2*y - 62. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*i + 3)*(5 + 0 - 3)*(3 - 21 - 9)*(-i + 1 - 1).\nAnswer: -162*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 + 9 - 47) + (-12 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22 - 1)*(-4)\/(-6). Let d be ((-27)\/(-18))\/((-1)\/(-14)). What is the greatest common factor of d and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.37 times 0.04?\nAnswer: -0.5748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 3648.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.496119us to seconds.\nAnswer: 0.000009496119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:53 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 2*w - 3*w + 3 - 6. Give g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4 - 1) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let t = 115 - 80. Let r(c) = 17*c - 2. Let i(y) = -290*y + 35. Let a(g) = t*r(g) + 2*i(g). Determine p(a(b)).\nAnswer: -450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 15}. What is prob of sequence zzo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81765465.\nAnswer: 3, 5, 349, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i + 1039 - 94 = 101*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 26*j**2 - 26*j - 19. Let d be m(-25). Solve -4*a - 9 = -s, -a + d*a = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = l - 2*r, r = l. Let k(z) be the first derivative of -1\/2*z**4 - 1\/5*z**5 + z**3 - 4*z + 2*z**2 + l. Suppose k(i) = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003779854 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*w**2 + w**3 + 23*w**2 + 2*w + (-2*w**3 + 2*w**3 - 2*w**3)*(-1 - 2 + 2) - 43 - w**3 + 43 + 0*w**3 + 0*w**3 + 3*w**3.\nAnswer: 5*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*h - 119 + 350 - 122 - 108 + 13*h**2.\nAnswer: 13*h**2 + 143*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - 1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 1, -9.61 in descending order.\nAnswer: 1, 0.5, -4, -9.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41 + 0.01. Let l = 8.1 - 10.14. Let z = l - -0.04. Which is the nearest to -1? (a) z (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973 and 1939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0477117666 + -0.2?\nAnswer: -2.2477117666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q - 7. Let b be k(-5). Let u be b + -3*2\/2. Suppose u = -i - 0*i + 77. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174829, 350428, 526027, 701626, 877225, 1052824?\nAnswer: 1228423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 6 - 8*j - 7*j.\nAnswer: -4*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, -1\/4, 1\/8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299817 is divided by 470.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-14*(-78)\/728). Sort q, 4, -3, 5, 10 in decreasing order.\nAnswer: 10, 5, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:34 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1134 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t + 8*t**3 - t**3 - 31*t.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, n: 1, m: 4}. Give prob of sequence jjn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 4*z + 43)*(-9 - z - 2*z**2 + 9).\nAnswer: 8*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1585 - -1587. Solve -d*y = -3*h - y + 15, -22 = -4*h + 2*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 11 + 1, 0 = 3*w - 2*t - 161482. Round w to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -11*j**8\/336 - 17*j**5\/60 - 20*j**2. Find the third derivative of r(s) wrt s.\nAnswer: -660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 32 = 3*y, -4*y = 5*i - 13 - 18. Calculate the greatest common factor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = -19. Let u = -9 - f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-358)\/(-10) + (-3)\/(-15). Let x = h + -19. Calculate the remainder when 48 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 114*o - 2956. Determine d(74).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/6 - 1399*d**3\/6 + d**2\/6 + 1399*d\/6 = 0. What is d?\nAnswer: -1399, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/15)\/q*q))\/q**(18\/5)*q**(-3)*q**13)**(4\/3) assuming q is positive.\nAnswer: q**(452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 6*z - 1. Let s be x(-3). Suppose 4*l + s = k, 2*k + 5*l = -k + 7. Suppose 4*g = 3*g + k. Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479f7d (base 16) in base 14?\nAnswer: 8a2857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 456854760445 and -46.\nAnswer: 456854760399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*v + 191*v + 192 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 38*c**2 + 128*c - 120.\nAnswer: 2*(c - 15)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 255436, 255437, 255438, 255439, 255440?\n\"Answer: k + 255435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185207 - 59112. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(162))\/sqrt(6).\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 3*x + 3*x - 17 - 3*x + 17 + (-1 + 1 - 1)*(0 + 0 + 2*x) + 4*x - 2*x - 4*x - 2*x + 2*x - 2*x - 1 - 2*x + 1.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.05 + 91.05. Let t = -87 + l. What is the third smallest value in t, 0.3, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/14 + (-75)\/(-525). Solve 0*k + 3*k - 14 = -4*h, -o*k - 11 = -h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*g**3 - 9 - 88*g - 29 + 52*g**2 + 110*g**2 - 4 - 11*g.\nAnswer: -3*(g - 7)*(g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*a + 14, 0*a = -a - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7431 + -4952. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 + 4 = 0. Suppose -5*w = 3*l - 87, 2*w - 126 = -3*l - 2*l. Suppose -y = -p*y + l. What is the smallest common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3108, -3117, -3126, -3135, -3144?\nAnswer: -3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 554028109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 8*n - 12. Let r be s(-5). Calculate the remainder when 41 is divided by r\/2 - -14 - -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y - 10*y - 98*y.\nAnswer: -71*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-192*a**2 - 2 - 7 + 200*a**2).\nAnswer: -8*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117497605?\nAnswer: 5, 7, 293, 108971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(144)*2)\/(sqrt(36)*-5))\/((sqrt(1764)*2 + sqrt(1764))\/(-2*sqrt(147) + sqrt(3))))**2.\nAnswer: 2704\/3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpj when three letters picked without replacement from {p: 3, w: 5, j: 7, s: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*v + 25*v - 20 - 0, 5*a = -14*v + 70 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4687 - -10.4686949209. Round h to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5957.7 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/20 + 21\/(-20). Let m = -0.33134 - -4.33134. What is the closest to -1 in 10, m, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -807243 and -807234 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108015264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -418*j**3\/3 - 2*j**2 + 1404*j. Differentiate q(s) wrt s.\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66575706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.128544 to one decimal place.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-150)\/(-20)*(-84)\/(-5) + 0 and 603.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 276*w + 906 = 187*w. Find g, given that 2\/11*g**w + 0 + 0*g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 19, 4, 0, 1 in increasing order.\nAnswer: -5, -3, 0, 1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529369197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 - 9*s + 10. Let x be t(8). Solve 3*c + 5 = -z, 2*z - 1 = -5*c - x*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15352599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.220093 + 0.22. What is q rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-4 - -15) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144148017, -144148042, -144148083, -144148140?\nAnswer: -144148213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 3785427 + 3785427.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**3 - 1. Let d(t) = -2. Let m(z) = 4 + 2 - 7. Let f(s) = -d(s) + 3*m(s). Let c(v) = 2*f(v) + u(v). What is the derivative of c(g) wrt g?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*o + 4*d, -19*d + 16*d = -5*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131\/145 + (2 - (9 - -1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11899920 is divided by 2379981.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 52402809?\nAnswer: 52402813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 456 (b) 5 (c) 0.708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjqjjjlrbbjjj. Give prob of sequence jr.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*r - 1452, 3*s + 233 = 2*r - 735. Suppose 0 = u + u - r. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 10. Let v = -83 + 81. Let d be f(v). Differentiate 391*y**4 + 22 + 4*y - 422*y**4 - d*y wrt y.\nAnswer: -124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*g**2 + 2346*g - 319792.\nAnswer: 118*g + 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.89 and -29.77?\nAnswer: -294.4253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67850077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 12*m - 12. Let i be d(11). Let l = 3 + i. Suppose -4*c + 46 = -l*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000242173 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2308766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 974702 and 0.1.\nAnswer: 974702.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*(p*p\/p**(-3\/5))\/p*p)\/p)*p*p*p*p*p**(2\/37) assuming p is positive.\nAnswer: p**(454\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/8 - 1\/4. Let i = 111 - 102. Let z(q) = -14*q - 2*q**2 + 9*q - 1 + i*q. Calculate z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3, -11148?\nAnswer: -11148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 8*j**2 - 6*j - 3. Let o be (0 + -1)*(-3 + 13). Let p = o - -17. Let f be g(p). Solve 12 + 8 = -f*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 2. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 + 516. What is the remainder when v is divided by 78?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:45 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 13*y**2 + 108*y - 5. What is the lowest common multiple of (-8)\/20 - (-122)\/5 and q(-5)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241331 and 2984?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66930338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.2. Let b = 0.2 + -1.2. Let r(m) = -m**2 - 30*m - 207. Let f be r(-11). Sort l, f, b in decreasing order.\nAnswer: f, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 852394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 1180*t**2 - 4804*t + 5980.\nAnswer: 4*(t - 299)*(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20133 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -791*q**3 + 10*q**2 + 5*q - 4. Is 3 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 3*q**3 + 0*q**3 + (2*q**2 + 1 - 1)*(1 + q - 1) - 48 + 48 - 9*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 159, 299, 439, 579, 719?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*q**2*t**4 - q**2*t**3 + q**2 - 8*q*t**2 + q - 69*t**4 + 23*t**2 wrt t.\nAnswer: -1080*q**2*t - 6*q**2 - 1656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f + 1141. Let s be x(0). Let t = s + -757. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3. Let k(p) = p**2 + 2. Let i(d) = -6*k(d) + 4*x(d). Let j(r) = -r**2 - 51*r. What is j(i(q))?\nAnswer: -4*q**4 + 102*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/(20\/135) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129\/5 + 501\/20. Let g = 22\/21 - 16\/21. Let b = 0.02 - 2.02. What is the nearest to g in 0.4, b, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c - 5. Calculate the remainder when 80 is divided by r(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 - 92*t**2 + 76*t + 48. Give y(-23).\nAnswer: -1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -104 + 27. Suppose 3 = -n*w - 4. Put 17, w, 0 in descending order.\nAnswer: 17, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 0.01. Let v(g) = g**3 - g**2 + 1. Let n be v(-1). Let d be (4 + -4)\/(4 + -2). What is the second smallest value in f, d, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 28*t + 63. Suppose l - 3*i = 0, 9*i = -3*l + 4*i + 14. Let v be n(l). Calculate the greatest common factor of v and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3489827246, 3489827245, 3489827244?\n\"Answer: -t + 3489827247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:07 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4224*a + 4229*a - 146 = -8*i, -4*a - 5*i = -60 - 33 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -6. Let o = n + 12. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140463.1 - -11251.\nAnswer: -129212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83597\/4016157 + 10\/489. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4418 divide 18228668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/9)\/((-43)\/(-774)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(-5 + 1 - 5)*(-3*v - v + 2*v) - v + 0*v + 3*v in the form k*v + f and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 938681609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271.8 + 272. Let z = 975 - 975.3. Which is the nearest to m? (a) -5 (b) z (c) 4 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10818, 21691, 32564?\n\"Answer: 10873*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 691.17 and -1671517.\nAnswer: -1670825.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 45*j**2 + 23*j**2 + 3*j + 4*j.\nAnswer: 68*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117831873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-3432)\/468)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1449 - 254. Suppose -25*z = -25420 + u. Is z a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let m = v + -2.3. Let p = 3\/19 - 37\/114. Which is the second smallest value? (a) p (b) -3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556825399?\nAnswer: 13, 317, 135119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17070 and 182649?\nAnswer: 1826490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/7 + 1878210*t**4\/7 + 268316*t**3 = 0. Calculate t.\nAnswer: -1, 0, 939106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60b3 + -2cc6?\nAnswer: -8d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38968676431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - l - 2*l + 47189, 4*u - 3*l - 47219 = 0. Suppose -u = -5*y + 2*w, -3*y - 3*w + 5888 = -1180. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -8. Let v be r\/6*(-9)\/(-2). Suppose 0 = -v*c - 5*x - 15, c - x + 0*x = 3. Solve -14 = h - 2*u, 0 = -5*h - c*u - 5*u + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*v = 31*v - 6755. Which is greater: -169 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Suppose -3*d + 3*h = -66, -8*d + 114 = -3*d - 3*h. Suppose o - 9 = g, 48*o - 49*o + 17 = -3*g. Let t(j) = -3*j - o*j + d*j. Determine f(t(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3590 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 3*k**2 - 5*k. Let a be x(-5). Let c = a + 35. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3402\/2646)\/(18\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 52. Let v be n*(-9)\/21*-7. Is 25 a factor of ((-4)\/(-2) - (-36 + 1))*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 16*y + 1518\/7.\nAnswer: 2*(y + 23)*(y + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2434, 4973, 7552, 10195, 12926, 15769, 18748?\nAnswer: 21887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23528 and 32732292?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 8*v. Suppose v = -2*d + 4. Suppose 2*h + 4*l = 18, 6*h = 3*h - d*l + 19. Are 0.4 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.066 in -2\/7, 3, 1.07, 23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/1)\/(63840\/7096 + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -52.7. Let l = x - -2.3. Which is the second biggest value? (a) 1 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2631 + -20763.\nAnswer: -20763.2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 36*l - 24. Is t(16) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293 - 193. Let m = 94 - j. What is the second biggest value in 0.4, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25085925 - 50200210. Let m = x + 25114283.0299899. Let i = m + 1.97. Round i to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210021202220 + 1?\nAnswer: -210021202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 + 8*j - 5*j**2 - 3*j**2 + 3*j**2 + 7. Let l be i(-7). Let m be (-1 - -6) + (0 - l). Solve 5*r - 12 = -3*a + 25, -m*r = 5*a - 45 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.3 (c) -1395 (d) 122.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (252\/(-30))\/((-4)\/10). Solve -5*p + d - 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 338925*y + 357117?\nAnswer: 338925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 411 (base 6) to base 15\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 585 + -387. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -6) + -2 + -19. Is (-2 - 16\/3)*v\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72128 divided by -64\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2\/2 + 4*z - 87. Give i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k + 10 = 0. Let o = 8 + k. What is the second derivative of 5*h + o*h - 4*h + 0*h + 4*h**2 wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1152) - 2*sqrt(1152)) + 3 - 4*sqrt(1152)*1) + 5*sqrt(1152)*1*3*-2)**2.\nAnswer: -5040*sqrt(2) + 1411209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1806 + 902 + 3*h**2 + 904.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026697 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2606882 (base 9) to base 12.\nAnswer: 5870a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.155 - -0.05374.\nAnswer: -0.10126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*(-3)\/75?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(72)\/sqrt(4))\/sqrt(9) + sqrt(32) + -3 + (sqrt(242)*-3 + sqrt(72) + 4)**2).\nAnswer: -2936 + 422*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15305, 17358, 19337, 21206, 22929?\nAnswer: 24470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -0.4 (b) -50727 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47020 (base 8) to base 2.\nAnswer: 100111000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 10206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101110 (base 2) to base 4.\nAnswer: 102232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*o - 110, 13*o = 5*x + 14*o - 133. What is the highest common factor of 1222 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.12, 1, -1\/7.\nAnswer: -1\/7, -0.12, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.1402 + 143390.1402. Let r = 143369.24929 - x. Let a = r - -1.75. Round a to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -15. Let z = -108 - -108. Let a be (-75)\/9*(z + 18\/(-10)). Is a not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2652 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in -1, 0.1, 2\/375, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -154766025.3601\nAnswer: 154766028.3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 28, 4, 0.4, 2\/7, 697?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8878614 rounded to the nearest 1000?\nAnswer: 8879000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptttetettt. What is prob of sequence tpte?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 16*l**3 - 42*l + 14*l**3 + 38 - 6*l**2 + 6*l**2 + l**2.\nAnswer: 30*l**3 + l**2 - 42*l + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - d**2)*(-3*d - d + 2*d)*((-d + d - d)*(-3*d + d + 0*d) - 4*d**2 - 3*d**2 + 4*d**2).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 11*p**3 - 8*p**3 + 15*p**3 + 18*p**3.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*k - 36, 0 = -2*k + 3*k + 5. Calculate the highest common divisor of q and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1770\/84233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-6))\/(1 - 4). Let m(a) be the third derivative of -a**6\/120 + 11*a**5\/60 + 5*a**4\/12 + 4*a**3 - 18*a**2. Let b be m(12). Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -1\/4?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436985.\nAnswer: 5, 17, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -2. Let n = 4.9 + 1.1. Let t = n - 8. Which is the closest to -0.1? (a) t (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*sqrt(1008) + ((sqrt(7) + -1)*5 - sqrt(7))) + 4)**2.\nAnswer: 9240*sqrt(7) + 339241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.06, -0.52284, -46?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*l + 600 = 8*u, -2*l + 363 = 3*u. Suppose -u + 45 = -2*s. Calculate the remainder when s is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/64 and 43.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19880553 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -33 = 187749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -1\/8 (c) 0.6 (d) 8 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/7 - 8*c\/7 - 1 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 223*s**2 - 2114*s + 3267. Calculate j(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -162 and 76 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1116 - -1116. Let a be ((-1)\/(-2))\/(2\/16). Suppose -a*n + 475 - 1583 = m. Round n to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37457 divided by -6\nAnswer: -37457\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32781)\/1176 + (-2)\/16. Which is bigger: -31 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 1\/2, -556, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 120518 = 763582. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 4a32?\nAnswer: -4a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 - 4*r - 7. Suppose 41*a - 135 = 26*a. Let m(b) = 4*b**3 - 11*b**2 - 15*b - 28. Let n(s) = a*d(s) - 2*m(s). Calculate n(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + -2 + 1 + sqrt(1200) + -2)**2.\nAnswer: -240*sqrt(3) + 4809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6227804 to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/15 and -67\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - (4 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/87?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + h - 13 - 24, -4*u + 2*h + 36 = 0. Suppose -u*n + 1454 + 1054 = 0. Let s = n + -31. List the prime factors of s.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -70b88?\nAnswer: 70b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -130 (b) -2 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -1453.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -14 + 6 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16496, -32994, -49518, -66080, -82692, -99366?\n\"Answer: -2*u**3 - u**2 - 16481*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 2.166.\nAnswer: -54.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2*l. Let n(i) = -i - 8. Let b be ((-4)\/(-5))\/((-2)\/15). Let d be n(b). Give r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + d**3 + 0*d**3)*(-d + 3*d + 0*d) + 5*d**2 - 21*d**4 + 8*d**2 - 2*d - 20*d**2.\nAnswer: -19*d**4 - 7*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 3*y - 4. Let u(k) = -7*k + 187. Let f be u(26). Let a(d) = -3*d**3 + 4*d + 5. What is f*n(l) + 4*a(l)?\nAnswer: 3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7 + 3*s - 7 - 2. Let t be y(-2). Let u be 0\/(-1 + 5) - t. Solve 12 = -3*g - 3*d, -5*g + 0*g + u = -2*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-728)\/(-2535) + (-10)\/520*8\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = -5. Suppose v*t = 15*t - 65. Calculate the greatest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 957.5 + -962.611. Let y = p - -0.111. Sort -0.9, 0, y.\nAnswer: y, -0.9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 117393794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 226725 and 60?\nAnswer: 906900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 298353154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69444335 to the nearest integer?\nAnswer: 8333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 3*x**3 + 29127*x**2 - 29127*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5\/8 - 1569*o**4\/8 + 2953683*o**3\/8 - 2944227*o**2\/8 - 3688941*o\/2 - 1107036 = 0.\nAnswer: -1288, -1, 3, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -5, -3, -1403.\nAnswer: -1403, -5, -3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:31 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u + 7. Let b be g(5). Let x = -339\/13 + 3025\/117. What is the third smallest value in -1\/2, 1, b, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -262, -233, -204, -175?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 not equal to -0.4501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-175)\/(-45) - (-2)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f. Calculate i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/42 - 822*z**3\/7 - 1520289*z**2\/7 - 2*z + 300. Factor k(b).\nAnswer: -2*(b + 1233)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -23\/60*x**6 + 41\/60*x**5 + 50*x**2 + 0 + 0*x**4 + 0*x - 1\/105*x**7 + 0*x**3. Find the third derivative of h(y) wrt y.\nAnswer: -48*y - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/((-520)\/468).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 261*h + 254. Calculate s(87).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 537*f**2 + 2*f - 3. Let w be u(2). Let i = -19467222\/11 - -1771895. Let n = i - w. Are n and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269954 to the power of 1\/2, to the nearest integer?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 0*t**3 + 0 - 29\/12*t**4 + 4*t + 0*t**2. Let d(m) = -2*m**2. Give d(w(a)).\nAnswer: -1682*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7417, 3, -10, -160, -2 in ascending order.\nAnswer: -7417, -160, -10, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = -3*a. Let q be (2 + (-10)\/a)*-3. Suppose 15 + 97 = q*v. What is the greatest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*r + 2 = -122*r - z, -14 = 5*r - z. Let x(n) = n + 12. Let h be x(-10). Sort -5, h, r, -23.\nAnswer: -23, -5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/10 and 7\/(238\/(-162)) + 6?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122326 divided by -3\nAnswer: -122326\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + 0 + sqrt(425))*-6)**2 + -4 + (-2*(sqrt(425) + (sqrt(425) - (-2 + sqrt(425)))))**2)*1.\nAnswer: 80*sqrt(17) + 17012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 831, 1245, 1659, 2073, 2487?\nAnswer: 2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 1530.96.\nAnswer: -91.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -5*x - 165. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 9 (c) -2\/11 (d) -17 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1973438 is divided by 1120.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*l + 14. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*z = 4*y - 93, 3*z = -4*y + 124. Suppose -5*o = -36 + y. Solve -o = -4*w + 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 24 = -18. Suppose 0 = 3*c, 0*g - 99 = -m*g + 3*c. What is the least common multiple of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 2. Let r be s(3). Let t be r\/5*26\/39. Sort t, -0.9, -0.5.\nAnswer: -0.9, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 38. What is z(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 5*t**4\/12 + t**3 - 13*t. Let p(x) = -6*x**2 - 7*x. Calculate 7*l(q) + 6*p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4506 + 4508. Put -307, 3, -0.4, u in increasing order.\nAnswer: -307, -0.4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 - r - 1. Suppose -5*a = -4 - 36, 5*u = -a + 68. What is the least common multiple of u and c(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 653 - 655. What is the second smallest value in -0.4, 18, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*n = 123 + 2, -3*n + 15 = 0. Suppose y - k = 13, -4*y + 2*y = -3*k - v. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 5. Let v be u(4). Suppose 0 = 4*f + 5*l - 128, 0 = l - 0 - 4. Let b(w) = -f + w**2 + 27 + 5*w**3. What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 + (7 - (-1 - 5)) + 195 is divided by 90.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*w + 2. Suppose -5*m + 3 + 12 = 4*i, w*i + 4*m - 12 = 0. Solve i*x - 15 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 7)\/(2\/2). Suppose 3*a + w*a - 2259 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 0*r**5 + 39 + 5*r**5 + (3 - 3*r**2 - 3)*(-r**3 + r**3 - 2*r**3) + 2*r**5 + r**5 - 2*r**5.\nAnswer: 12*r**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**2 - 35*b**2 + 21*b**2. Let k(s) = -25*s**2. Calculate u(k(r)).\nAnswer: 1250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223 + -113. Suppose -2*p - 3*o + 348 = -5*p, -2*o = p + w. Let q = 47 - p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 946, -1140, -4608, -9458?\n\"Answer: -691*d**2 - 13*d + 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327*g**2 - 78*g + 2 wrt g?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/4 + 6*p**3 + 57*p**2\/4 + 15*p\/2.\nAnswer: -3*p*(p - 10)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptie when four letters picked without replacement from ntyeypineeii.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/5*150\/(-30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3 - 17*c**2\/2 - 108*c + 2365. Let s(f) = -f**2 - 3*f - 18. Determine 6*p(v) - 34*s(v).\nAnswer: -2*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, v: 9}. What is prob of sequence xxx?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 59*t**2 - 503*t + 50. Give b(-47).\nAnswer: -2817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14525 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3299 = -3153.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.43294 and 35.\nAnswer: 49.43294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 9*x**2 - 11*x + 7. Let k(w) = -w**3 - 4*w**2 - 5*w + 3. Give 4*g(n) - 9*k(n).\nAnswer: -3*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 480 + -33639?\nAnswer: -33169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2960456249 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2, 0*q - 2 = 4*q - 5*l. Let z be ((-1)\/1)\/((-1)\/q). Suppose 0 = z*k + 1417 - 377. What is k rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/90 + ((-15394)\/(-1935) - 20\/30*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = -2*k, d - 4*d + 19 = -5*k. Sort 0, 3\/4, -4, k in increasing order.\nAnswer: -4, k, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/144*4\/3)\/((-1720)\/(-2580)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + -5 + (sqrt(500) - (-2 + sqrt(500))) + sqrt(500))**2 + -6*(sqrt(25)\/(sqrt(5)*-1) - sqrt(5)).\nAnswer: -54*sqrt(5) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -435403 divided by 151?\nAnswer: -435403\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 - 8*g**3 + 5*g**2 - 3*g**3 - 5*g**4 + 6*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 less than -0.6786349?\nAnswer: -0.3686349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16395450 rounded to the nearest ten thousand?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ficvoofooo. What is prob of picking 2 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y - 2*y. Suppose 2*u - y*g - 16 = 3*u, g = -4*u + 12. Is (-1005)\/(-27) + u\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4368 - 592 = -310*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(15\/2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 + 778*w + 18. Let d(p) = -15*p**2 - 780*p - 21. Give -6*d(f) - 7*m(f).\nAnswer: -f**2 - 766*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (19 - (-3 + 7)). Let c be 6\/((-4)\/(256\/b)). Let v = -19 - c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119761 and 3566795?\nAnswer: 5207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2. Let c = -220 + 224. Let i = 54 - 81. Let b(s) = 6*s**3 - 27*s**2. Determine c*b(q) + i*h(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*w + 7 = 505*w + 4*m + 16 + 2, w + 5*m = -w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 12*f + 1\/2*f**2 - 3\/20*f**5 + 0 + 0*f**3 - 1\/12*f**4. Let g(u) = -u - 6. Let i be g(-5). Give h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5039 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f + 16. Let y be v(10). Suppose 1066 - 1398 = 4*c. Is c at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2181)\/(-2908) - (-3)\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2*m + 27, 5*m = 8*u - 9389 + 9316 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - j**2. Is z(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2224*c + 3123*c + 1765*c - 156464 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:36 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-11 - (-6 + -3) - 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 14*w + 54. Let b be j(8). Let m(v) = -v**3 + 6*v**2 - 4*v - 3. Let x be m(5). Suppose -x*h = -b*h. Solve -4*t - 1 - 3 = h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.2095 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 81*a**2 - 812*a + 188. Give j(90).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + 2*z + 1. Let a(f) = -f**3 + 6*f**2 - 7*f + 5. What is the remainder when g(2) is divided by a(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 4*b**2 + 3. Let v be p(4). What is the second derivative of 3*d**4 - 5*d + 5*d + v*d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 11*c**2 + 2*c - 13. Give f(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 814.3435 or -0.1?\nAnswer: 814.3435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.2 (c) 1\/2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -18. Suppose -3*k = -5*s - 43, -3*s + 2*s = -5*k + 35. Calculate the remainder when v is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(25)\/sqrt(5) + sqrt(60)\/sqrt(3)).\nAnswer: -3*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -995 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {p: 9, f: 10}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 1\/3*q**3 + 1\/3*q**4 - q**2 + 0 + 1\/21*q**7 - 1\/15*q**6 - 1\/5*q**5 + 3*q. Factor u(s).\nAnswer: 2*(s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -130.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*27\/(-126)*2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -22, -78, -170, -304, -486, -722, -1018?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**3 + 33*s**2 + 14*s - 5005 wrt s?\nAnswer: -6*s**2 + 66*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**4 - 8905*p**3 + 191765*p**2 + 3031305*p + 5224230 = 0.\nAnswer: -9, -2, 33, 1759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*1 + 15\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - m - 26 + 14.\nAnswer: -m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15978550 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 21*c - 2370. Let x = 185 - c. Is 27 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 19*y**2 + 19*y**2)*(1 + y - 1 + (2 - 1 + 1)*(0*y + 0*y + y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 6*x - 1. Let q be v(-4). Suppose 600 = -5*u + q*u. Suppose 15 + u = 3*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40703514 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 24\/5 - 494\/5*d**2 - 94*d = 0.\nAnswer: -1, 12\/247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0. Let w = 1161 - 1161.1. What is the closest to w in f, -5, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024282 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*d + 3)*(5 - 2 + 5) + 2*d - 7*d - 12*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*n = -38, -4*w + 2*n + 3*n = -31. Let s(y) = -w + 9 - 9*y. What is s(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/2, 51, 8, 0.2 in ascending order.\nAnswer: -2, 0.2, 1\/2, 8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1617*p + 51764. Determine w(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -206, -134, -60, 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 2. Is s(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0, -1\/333, 15013?\nAnswer: -1\/333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 268565102 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58887*p**3 + 11*p**2 + 263628*p + 2?\nAnswer: -353322*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + (71 - (25 + (0 - 16))) + 12.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 2, e: 2}. Give prob of sequence wwee.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -106\/3. Let t = -80.927 - -81. Let v = -0.073 + t. Which is the closest to v? (a) g (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(5 + sqrt(11)) - sqrt(11)).\nAnswer: -20 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165050?\nAnswer: 2, 5, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6909?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from ffrffffrfffffrffffff?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -39*w - 37. Let k(x) = 82*x + 65. What is 3*k(l) + 5*y(l)?\nAnswer: 51*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let i(l) = -240*l**2. Determine i(p(b)).\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from llplllllplllllplllpl.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716267349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 8:52 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353 + -348. Suppose 4*b + 6 = 2*f - 5*f, -5*f = -2*b - 16. Let r = f - -2. Solve -h + r - w = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asiszuvsiisivivss. What is prob of sequence ius?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 12 - 4. Let a(s) = -76*s - 6. Let z be a(m). Round z to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 2:03 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 3*l + 3. Let j(s) = -3*s + 0 - 2 - s + 6*s - s**2. What is 3*j(d) + 2*p(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*g + 54169 = 0, 0 = c - 2*g - 60489 + 6311. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 4\/(-6). Let o = z - -12\/5. Put 0.4, o, 1 in increasing order.\nAnswer: 0.4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/616 and -71\/88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*c**3 - 3*c + 5*c**2 - 7*c**3 - 17*c**2 - 5*c.\nAnswer: 4*c*(c - 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10339*i = -10387*i + 2352 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 1\/8*i**4 + 1\/3*i**3 + 2*i**2 + 0 + 0*i. Suppose -o = 3*v - 2*o + 11, 0 = 3*v - 3*o + 21. Calculate x(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 - 67595*i**3\/4 + 202779*i**2\/4 - 202777*i\/4 + 16898.\nAnswer: (i - 67592)*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, 1\/4, -2\/11, -1, 0.23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010739951 is divided by 294.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-4)*(-2160)\/(-2808)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 - 19 = 0. Let p be (-4)\/(0 - 3\/n). Suppose 0 = 2*b - 2*j - p, -7*b + j = -3*b - 32. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 22 + 0 = 0. Let y = n - -5. Let w be 6\/(-28) - 3\/y. Which is the nearest to -1\/2? (a) -5 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -2*r, 0*r + 5 = c - 2*r. Which is bigger: c or -40\/87?\nAnswer: -40\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 3. Let z be j(-5). Let y be (-4)\/(-14) - 34\/z. Let p = 0.3 - 0. Which is the biggest value? (a) y (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3055883 is divided by 90.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Let j be (-14)\/(-49) - (-38)\/14. Suppose -u + j + 1 = 0. Solve 8 = -u*z, -3*z = i*x - 4*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 0, 0.4, 0.3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884542?\nAnswer: 2, 11, 85661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -420.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4012.34 take away 2?\nAnswer: -4014.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10*x = 5*x + 4, 0 = -5*x. Let u be (4 - (-3)\/(3\/j)) + -2. Which is the nearest to -1\/2? (a) 2\/83 (b) -1 (c) -0.3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12740635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*b - 7*b**4 + 2*b**3 - 386*b**2 + 0*b + 390*b**2 - 3 + 4*b**4 to r*b**3 + m + w*b + l*b**4 + i*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104105464?\nAnswer: 2, 109, 277, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47128 - 0?\nAnswer: -47128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 198305861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672 - 671 + 26*j**3 - 672 + 2688 - 678.\nAnswer: 26*j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 12*x + 16 = -2*w, 21 = -4*w + 3*x. Let z(u) = u**2 - u. Calculate the lowest common multiple of 33\/(0 - (-5 - 21\/w)) and z(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1238 and 26891836?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 46. Let n be 2 + (225\/(-6))\/(-3). Let z = 15 - n. Which is the nearest to z? (a) q (b) -4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -316*m**3 + 54*m**3 - 388*m**3 + (0*m**2 - m**2 + 0*m**2)*(-2*m + 5*m - 2*m).\nAnswer: -651*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:03 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:17 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 15*c + 57 = 0, -2*c - 11 = 26*o - 25*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*o + 19278 - 14897 + 26071 = 0 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.51 + -4.51. What is the second biggest value in -6, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (-3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 3, t: 13}. What is prob of sequence lt?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:33 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - -b408?\nAnswer: b433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/232 and 19\/290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h. Let r(a) = a**3 - 19*a**2 + 8. Let n be r(19). Suppose -3*u - 4 = -4*w + n, 2*u + 8 = -4*w. What is c(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 86 = -3*s - 6*p, 5*s - 5*p + 140 = 0. Let o = -1\/207 - 895\/414. Calculate the common denominator of ((-18)\/s - 1)\/((-2)\/10) and o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-8)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 834798 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3804? (a) 1\/4 (b) 2.6 (c) 0.5 (d) 4 (e) 3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/16, -1\/2, -155?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-21) + (-12174)\/(-14) + -1.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7.92. Let d = 1146.58 + -1136. Let m = j + d. What is m rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - 0 - (8 + -19 + 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:34 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r + 18 - 16*r - 41 - 420*r**2 + 22.\nAnswer: -420*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 5)*(4*y - 28 + 49 - 25).\nAnswer: -4*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.34191, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h**(-3\/4))**18 assuming h is positive.\nAnswer: h**(207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v + 1. Let k be a(-1). Let l be 23\/k - (-3)\/15. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*s + 1 = -l, -3*s = 117*l - 5*s + 591 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 12870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -20. Suppose 6*h**2 - 2 + 3 - 4*h**l - 3 = 0. Calculate h.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = 4*p - 35, 3*r - 2*p - 1 = 0. Suppose k + 8 = r*k. Is k at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 111, 184, 257, 330, 403?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 372486.\nAnswer: 2979888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.55044 from 99.\nAnswer: 75.44956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*c = 7*c - 91 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 at least as big as 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**3 + 72*t**3 - 38*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 6:45 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -3157681?\nAnswer: 3157681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1358, -1338, -1304, -1256?\n\"Answer: 7*s**2 - s - 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Let v = -0.1 - 0.1. Which is the nearest to 0? (a) z (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820237937?\nAnswer: 23, 47, 71, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 12007596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18627315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/7)\/((-8)\/(-28)). Let z(l) be the third derivative of 0 + 0*l - 3\/8*l**4 + 3\/2*l**3 - 2*l**m. Let p(k) = 5*k - 5. Calculate 5*p(q) + 3*z(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -2)\/((-2)\/(-5)). Suppose 2*n + 6 = v*k, -5*k + 4*n - 2 = -2*k. Suppose 3*z + 2*z = 0, j + k*z = 2. Solve -2*x + 2 + j = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -241, -240, -239, -238?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39620897 is divided by 1247.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 + 46 = 0. Let h = l - -26. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179851153, 0, -4 in decreasing order.\nAnswer: 0, -4, -179851153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 45 - 90 = 0. Let f = j - 43. Find the third derivative of 9*i**f + 10*i**4 + 118*i - 118*i wrt i.\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 196 - 147 = -z, -10*z + 9*z - 24 = y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165797 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*w = 1741, 3452 = 2*c - 0*w + 4*w. List the prime factors of c.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**17*u*u**(-1\/6)\/u*(u\/(u**19*u))\/u**(-11\/3) assuming u is positive.\nAnswer: u**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -24 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Let k = -4 + 6. Let p(q) = 1 + 2*q**2 + k - 3. What is v(p(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i**2 - 41*i**2 + 77*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12629701350 to the nearest 1000000.\nAnswer: 12630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - t**3 - t**2 + (t**3 + t**3 - t**3)*(34 + 23 - 4).\nAnswer: 52*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t. Let v(u) = u**2 + 1. Let c(k) = -3*k**2 - 2. Let l(y) = -c(y) - 2*v(y). What is l(x(a))?\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 17*c**2 - 18*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644560 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 16, 24, 34, 46, 60, 76?\n\"Answer: s**2 + 3*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1047, -1, -2\/9 in descending order.\nAnswer: 1047, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -657, -2677, -6051, -10779, -16861, -24297?\n\"Answer: -677*n**2 + 11*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(44)\/sqrt(4)*2 + 5 + sqrt(11)*1 + sqrt(11))**2)*-3.\nAnswer: -591 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let r be (0 + 1)*(z - 0). Let b = r - -4. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37182 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49 - -0.3. Let i = 0.18796 + h. Round i to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/20 - t**4\/4 - t**3\/2 + 3*t**2. Factor r(l).\nAnswer: -3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32214 - 22?\nAnswer: 32142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:46 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6566*f**2*h*i**3 - 24*f**2*i + 2*f*h*i**3 - 432*f*h*i**2 + 2*f*h + 20*f - h*i wrt f?\nAnswer: -13132*h*i**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3853\/(-2) - 3)*22\/(-6). Let a = n + -7095. What is the common denominator of 40\/27 and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**5 - 33*l**4 + 377*l**3 - 539*l**2 - 372*l + 572 = 0?\nAnswer: -13, -1, 1, 2, 22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329083 is divided by 1328914?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 1206525480 + 313082832. Suppose -4*j - 5154632 = d. Round j to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*a + 2 + 4 + 0 as z + i*a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 93, 228, 351, 456, 537, 588?\n\"Answer: -j**3 + 142*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3) + -1 - (-9 + (5 - -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*b, 4*z + 0*b = 5*b + 2633. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2523525 (base 9) in base 15?\nAnswer: -1c210e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/103 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1427)\/(-304))\/(3*(-1)\/2). Let b = u + 77\/24. Is 1 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 - 7*o + 7. Let f be v(7). Let m = f + -6. Let g = -3417 + 3420. Solve g*w + m + 5 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 30*s + 69. Calculate d(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1359 and -16\/999?\nAnswer: 150849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8\/7*j**4 + 126*j**3 + 220\/7*j**2 + 0 + 0*j = 0.\nAnswer: -110, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 10469296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 6. Let a = -7 - -8. Let v be 11\/(-2) - a\/2. Let q(u) be the third derivative of 11*u**4\/24 + 13*u**3\/6 - 2*u**2. Give v*q(w) + 13*h(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - y - 1. Let l(a) = -8*a**2 + 3*a + 3. Calculate 3*j(t) + l(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/32*-12*-4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30758 and 17940?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 202 = 190 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14142973.\nAnswer: 13, 19, 57259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:53 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - ((-96)\/(-8))\/(-6). Let w be -12 + 4 + (-1 + 0)*-2. Let j(m) = 2*m**2 + 14*m + 5. Let o be j(w). Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (20 + 10 + -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h - 631. Let x(d) = 4*d - 210. Calculate -3*s(z) + 8*x(z).\nAnswer: 2*z + 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*d + o, o + 0*o = 5. Let f(t) = t**2 - 4*t - 8. Let c be f(d). Let n be c + -2 - (-8)\/(-5). Which is greater: n or -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 991\/9. Let v be 0 + 6\/5 + -2. Put q, v, -2 in descending order.\nAnswer: q, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32294 and 4579?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 341, 39, 3, -3, -6, 4, -5.\nAnswer: -6, -5, -3, 3, 4, 39, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 7*i**2 - 2*i - 55. Calculate the remainder when b(-6) is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 16\/9 + 28\/9*f**5 - 20\/9*f**4 + 64\/9*f + 4\/9*f**2 - 92\/9*f**3 = 0.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -58\/3 (b) 2\/11 (c) 4 (d) -2\/5 (e) -0.261 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 1\/2*j**2 - 1\/12*j**4 - 5*j + 1\/4*j**5 + 0 + 0*j**3. Calculate z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-30)\/2. Let o = 52 + 18. Calculate the greatest common divisor of v and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294510*f**3 + 120587*f**2.\nAnswer: 1767060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476 - -567. What is the remainder when 168 is divided by w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6074 or 18?\nAnswer: 6074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/40 + 44\/(-30) - 21\/(-18). What is the closest to z in 37, -1\/9, 2\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i. Let d(g) be the second derivative of -g**5\/120 - g**3\/3 + 33*g**2\/2 + 49*g. Let p(t) be the second derivative of d(t). What is k(p(b))?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:50 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1329 and -94\/45?\nAnswer: 19935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 10. Suppose h*l + 2*z + 2 = 0, 0*l + 4*l - 16 = 4*z. What is the lowest common multiple of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68650057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*1\/(-10)*-15. Suppose -9*t - l = -10*t. Solve f = t*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2649312 and -69.\nAnswer: 2649243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 17. Let n(v) = 9*v - 34. Let z(j) = 5*g(j) - 2*n(j). Let s(d) = d - 1. What is the least common multiple of s(2) and z(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - 766809\/(-21) - ((-200)\/(-35) - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 164*j**2 + 160*j - 276. Give y(-165).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*b + 441 = 420, 5*b = 29*q + 67 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j + 9. Let s be (1 - j) + 0 + 1. Solve -a - 5*n - s = 0, a + n = 4*a - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + -1 - 6 - (-27 + 33).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.39 - -6638?\nAnswer: 6540.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2311 divided by 30407\nAnswer: 2311\/30407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 39 = -2*n, 3*n + 17*p - 19*p + 53 = 0 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23618313.\nAnswer: 3, 2624257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 42. Let -30*v**2 - m*v**4 - 22*v**2 + 52*v**2 + 6*v**3 = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 11 - 7. Which is smaller: t or -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10579.\nAnswer: 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 10*t - 258 = -10*t + 2*q, 2*q - 12 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:48 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267\/(351\/(-144 - -27)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 285*c**3 + 1048 wrt c?\nAnswer: 855*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a3 - -99a2?\nAnswer: 95aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**3 + 0*b - 1\/180*b**5 + b**2 - 1\/72*b**4 - 2. Let q(k) be the second derivative of j(k). Factor q(s).\nAnswer: -s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -43.8754, -4, 3\/2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115137 or 4\/1059?\nAnswer: 4\/1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 less than or equal to -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13461 - -13461.09. Sort -1, o, 0.057.\nAnswer: -1, 0.057, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 13*c**2 + 4 + 3 to u*c**2 + d + i*c and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - -2) - 19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65257531049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287152 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -28\/3 (c) -16 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 3*r - 5*r)*(2 - 3 - 2)*(-1 + 2 - 2) to p*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 26362?\nAnswer: -26364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 - 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185130 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let p = b + 6. Suppose 4*c - p*s + 4 = 0, 6*c + 2*s - 20 = 3*c. Let q(v) = -2*v**2 + 2*v + 6. Let r(t) = -t**2 + 1. Calculate c*r(i) - q(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/13 or -56?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399 + -110125\/276. Let v(h) = -h**3 - 8*h**2 + 2*h. Let x be v(0). Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 11*d + 28. Is (-232)\/(-6) - d\/21 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + h - 5 = -19*m, -2*m - 4*h - 10 = 0. Let q = 0.1 - 2.1. Which is the smallest value? (a) m (b) 1\/2 (c) q (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8200\/(-15))\/10*-3. Let b = p + -140. Is b less than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -98095.4.\nAnswer: 19619.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-8 - 8\/2). Let z be j\/(-5) - (-6)\/(-15). Solve -u - 5*d - 17 = 0, -z*d - 32 = -4*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/9 + 1120*y**3\/9 + 172700*y**2\/9 + 1484000*y\/3 + 3511250 = 0.\nAnswer: -265, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -40. Suppose -j*f + 18 = -4*f. Find the second derivative of 11*p**5 - p - 10*p**5 + f*p**5 wrt p.\nAnswer: 200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 198\/12*4\/3. Let h = 22 - w. Let o(d) be the second derivative of -d**5\/20 - d**4\/12 - d**3\/6 + 3*d**2 + d. Determine o(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4)*(-h + h - h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 - 362675*a - 725330 = 0.\nAnswer: -72533, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a + 12. Let t be r(12). Let s = t + 109. Calculate the highest common divisor of 143 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + r**2 + r - 37. Determine k(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -166030.43 * -0.4.\nAnswer: 66412.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*k - 0 - 21, -4*h - 5*k - 3 = 0. Solve -h*s = -3*t + 30, 3*t - 5 = 4*t + 2*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -66. Suppose -3*i + q + 5 = -q, 2*q = -h. Suppose 0 = 4*z, -5*g - i + 6 = 5*z. What is the lowest common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/14 - (-9)\/(-21). Let w = -5 + 7.07. Let x = w + -0.07. What is the closest to 0.1 in x, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -832*o**3 + 3*o**2 + 3*o. Let g(r) = -465090*r**3 + 1676*r**2 + 1676*r. What is 3*g(m) - 1676*y(m)?\nAnswer: -838*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.09, -0.23, -3\/5, -147.1, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9744 divided by -348?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 6*w + 2*w + 4*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 2. Let l be r(0). Let d be 67\/((l\/(-8))\/1). Is (-2)\/6 + d\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 87\/2008, -52.\nAnswer: -52, 0, 87\/2008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 0*w**4 - w**4)*(901*w + 7552*w - 1808 + 1808).\nAnswer: -16906*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1054 and 8862.2.\nAnswer: 9916.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 39608010 to the nearest one hundred thousand.\nAnswer: 39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23240, -2, -543 in decreasing order.\nAnswer: 23240, -2, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -298, 0, 0.3, 5, 1132?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z + 13644 - 3*z - 6818 - 6816. Calculate w(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b - 2. Let r be 2 + b + (-21)\/18. Is r equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 70 + 139 = -4*t, 120 = -2*t - 6*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 12445 + 403902. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 2*w**2 + 268109*w**3 - 3*w**2 - 3*w**2 - 268102*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2. Let o(u) be the third derivative of 0*u + 0*u**4 + 0*u**3 + 255*u**2 + 1\/4*u**5 + 0. Give l(o(w)).\nAnswer: 900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793 - 783 = -5*c + l, 4*c + 5*l = -37 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, -3, 5, -24, -1, -11 in increasing order.\nAnswer: -24, -19, -11, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxun when four letters picked without replacement from uxxnk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 40 = 0. Let k(w) = -8*w**3 + 3*w**2 + 12*w - 1. Let l be k(4). Let z = -416 - l. What is the lowest common multiple of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(3\/4)\/a)\/a)\/(a\/a**6*a*a))\/((a\/(a\/a**2))\/((a*a\/a**(-1))\/a)))\/((a\/a**(-3))\/a**(-5\/2)*(a\/((a*a**(1\/3))\/a*a))**(-1\/2)) assuming a is positive.\nAnswer: a**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12)**(-2\/5))**4 assuming n is positive.\nAnswer: n**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 41, 25, 11, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 + 3?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 28. Let y be o(-7). Let h(x) = -y*x + 9*x - 11*x + x**2 - 16. Let b be h(9). Is -15 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 615.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.272456 rounded to 1 decimal place?\nAnswer: -96.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29239 is divided by 3045.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1*(-4 - 9\/(-3))). Let u be 9\/366*(0 + 2). Is u less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.205 (b) -1\/3 (c) -3 (d) -2\/19 (e) 0.2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18) + 7\/84*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-43355)\/(-13) + -9 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/(d\/(d**(-4)*d)))\/(d*d*(d\/d**3)\/d*d*d)**(36\/7) assuming d is positive.\nAnswer: d**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -746*k + 3461*k - 720*k - 264*k - 270*k. Let o(c) = 3*c. Calculate h(o(b)).\nAnswer: 4383*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + -8 + 1 + (126 - 117).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 70*x**4 - 836*x**3 - 3836*x**2 - 5434*x - 2366 = 0 for x.\nAnswer: -13, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3. Let w be (-1)\/((-46)\/(-48) - d). Suppose t - w = -3*q + 41, 5 = -q + 5*t. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8977?\nAnswer: 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.95651581 rounded to 3 decimal places?\nAnswer: -11.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*r + 2, -2928*r + 2923*r = -4*h - 1. Solve -r*l = 2*m + 7, -15*m + 18*m = 5*l + 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281867 is divided by 2998?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Suppose 0 = t*o + 59 + 13. Let i = -10 - o. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t**3 - 11*t**2 + 17*t - 11. Let q be 44\/6 + 2\/(-6). Suppose -15 = -2*d + q. Let u(k) = 3*k**3 + 4*k**2 - 6*k + 4. Give d*u(z) + 4*g(z).\nAnswer: z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(144)\/(sqrt(8) + (-2*sqrt(48))\/sqrt(6)))\/(sqrt(225) - (sqrt(225)*-2*2 - sqrt(225))))**2 + 3.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1724 - 1720. Is 30 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -12997?\nAnswer: -12997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 22 = 0. Let b(d) = -d - 8. Let n be b(w). Suppose n*o + 5*j - 8 = 0, 2*j = 4*o - 39 - 15. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4512*-4\nAnswer: -1.8048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142799628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose u = -2*b + 442 + 8, 0 = 5*b + v*u - 1135. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 407 and -0.082.\nAnswer: 406.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 1139 = 2005. Suppose -3*i + 0*i + x = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1384, -1389, -1394, -1399, -1404, -1409?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0074 + -0.0074213. What is c rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 384 - 53. Let l = y + -328. Which is greater: l or 43\/12?\nAnswer: 43\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42791\/13884 - -3\/2314. Let z = n + -11\/4. Which is the third smallest value? (a) -2\/9 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 24 = 2*f + 4*f, -23 = 4*w - f - 19 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = 3*q + f - 224, -9*q = f - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -d + 4*c + 11, 5*d + 2*c - 4 = 0. Suppose 0 = -d*j + 3*j - 2. Let y(t) = -2*t + j*t + 4*t - 1 - t**2 - t. Determine y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/32*-8*4\/(-92). Sort 1, z, -2\/3, -4 in decreasing order.\nAnswer: 1, z, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 1. Let w(q) = 3*q**2 - q - 7. Let l(z) = 5*a(z) - w(z). Let u be l(2). Solve -u*x - 3 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/60 + l**4\/8 - 5*l**3\/6 - 8*l**2 - 144. What is m(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 10*r**2 + 5*r - 23. Let g be t(10). Suppose -m - 4*m + g = 3*v, 5*v - 20 = 0. Solve -m*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 120*b**2 + 3849*b - 4. Let x(s) = 361*s**2 + 11531*s - 14. Let i(a) = -2*x(a) + 7*y(a). Find the second derivative of i(t) wrt t.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000646 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 15. Let c(g) = -2*g**2 + 6*g. Let i(s) = -s**2 + s. Give m*i(l) + c(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1700)*2 + -2 + -2*sqrt(1700)*6 + sqrt(1700))**2 + (-1 + sqrt(272))**2*6 + ((0 + sqrt(272)*-3 - sqrt(272))**2 - sqrt(272)).\nAnswer: 308*sqrt(17) + 143694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 47b?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*u + 210 = 0, -4*q + u - 141 = 27. What are the prime factors of (-1549 - -1)\/((q\/(-4))\/(-7))?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489.395 - 492. Let a = -2.7 - f. Let i = a + 0.1. What is i rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a1 - 3c04b?\nAnswer: -3b67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 90467.98 days?\nAnswer: 7816433472000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -71*x**6\/40 + 5*x**4\/24 + 5*x**3\/6 + 18*x**2. List the prime factors of d(-1).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/14)\/8)\/(2375\/1330).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*l**3*p**3 - 7*l**3*p*z - 8*l*p**3*z - 6*p**2 - 2*p*z wrt p?\nAnswer: 84*l**3 - 48*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 35821*w + 143123. Give j(-4).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/2 + 8337432*u**2 - 69512789029485*u\/2 + 69512755679761 = 0.\nAnswer: 2, 8337431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 49 = -23. Let i be 78*((-6)\/m)\/((-4)\/22). Which is greater: -214 or i?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 4)*(-2*p + 0 + 0)*(-57*p - 994 + 2*p**2 + 994) as d*p + y + w*p**2 + f*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (66\/(-16))\/(31\/((-2232)\/270)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 378, 380, 386, 396?\n\"Answer: 2*t**2 - 4*t + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -83 + (0 - -1 - 0) + -51 + -4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*213976.\nAnswer: 19257840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -27. Let t be (11 - z)\/(0 + 1). Solve 0 + 1\/4*h**t + 1\/4*h = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/199 (b) 0.3 (c) -1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/4 - -13\/4. Suppose -4*g + 0*z - 24 = z, 4*z + 36 = -4*g. Let t(c) = -c**3 - 6*c**2 - 4*c + 1. Let q be t(g). What is the closest to -2 in q, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 33 - (-3 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -78. Suppose i + b + 4 = t, -4*b = -5*i - 2*b - 13. Is i bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 6394*q**2 + 6340*q**2 - 12724*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 13) to base 6\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056488 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**8\/1344 + n**7\/1260 - n**5\/30 + n**4\/6 + 4*n. Let i(d) be the third derivative of p(d). Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 103.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -6175266.\nAnswer: 617526.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 38. Let t be (3\/(-6))\/(b\/4). Sort 2\/15, t, -2, -5.\nAnswer: -5, -2, t, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3. Let d(w) = -w**3. Let k(b) be the third derivative of b**4\/8 - 31*b**3\/6 - 31*b**2. Let y be k(10). Determine y*m(q) - 4*d(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43151697*a + 43750092 wrt a.\nAnswer: 43151697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7394081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {v: 4, s: 1, d: 6, t: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 5*o = -80, -374 = -4*z + 2*o. Let p be (-1258)\/(-9) - 4\/(-18). Suppose -5*s + p + z = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 150517696 and 1447.7.\nAnswer: 150519143.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95 + 90 + (2 + -1 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 9*y**4 - 12530*y**3 + 11*y**4 + 12059*y**3 to v + x*y**4 + m*y + c*y**2 + t*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(4\/11)\/(z**6\/(z*z\/z**(-3))) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1406.467 - -1364.067192. Let p = r - -42.4. Round p to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q*q*q*q**(-5)\/q*q*q)\/q*q*q)))\/(((q*q**(-1\/10))\/q)\/q))\/(q*(q\/q**(2\/9)*q)\/q)**(-10\/3) assuming q is positive.\nAnswer: q**(1897\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.42 - 0.82. Let z = 0.37 + p. Which is the closest to 1\/2? (a) -2\/3 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 10 = 141*q - 136*q, 5*q = 3*i - 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546 and 4.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 13708\/1008 - ((-560)\/(-98))\/10?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 38*w**2 - 140*w.\nAnswer: -2*w*(w - 14)*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 291275 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, g: 1}. Give prob of sequence bg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31ed (base 16) in base 10?\nAnswer: 12781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/((39680\/1674)\/80)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1221022?\nAnswer: 1221033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 + 15 + -20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 88, -0.4, 0.02, -348?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 1 - 15*w**2 to the form i*w + r*w**2 + p and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 119, -2, 5, 1\/4, 75, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543243 is divided by 3189?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -7\/3 (c) 21 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/221627 or 1?\nAnswer: -1\/221627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86, 171, 258, 347, 438, 531?\n\"Answer: u**2 + 82*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335676 less than or equal to 335676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37532 and 3.\nAnswer: -112596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2134024*f. Let m(r) = 6*r**2. Give d(m(h)).\nAnswer: -12804144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*(-80)\/2200)\/(10\/(-175))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 260638*a + 46912248\/5.\nAnswer: 2*(a + 36)*(a + 651559)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 956 and 0.31833783.\nAnswer: 956.31833783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 - (-5 - 7))\/1. Solve k = -25*o - 109 + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.76424639 to 1 decimal place.\nAnswer: 226.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b + 129*b + 27*b - 53*b as v + h*b and give h.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24118, -48238, -72362, -96490, -120622, -144758, -168898?\n\"Answer: -2*x**2 - 24114*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/(1\/(-2)). Let i(m) = -m**2 + 3*m + 5. Let y be i(3). Suppose 84 = y*v + 4*f, v = 2*f + 38 - 10. Solve -2*x = j*x - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 16) in base 8?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1487 - 1487 - 299*l - 136*l**2 wrt l.\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.3979?\nAnswer: 0.19895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 4*u, -4 = -4*t + 2*t - u. Put 2, -2, t in ascending order.\nAnswer: -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07666 and -2.69?\nAnswer: 0.2062154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 0.1 (c) 0.0626381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -232817 and -230930 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.064 + 0.092. Let i = 10.372 + m. Let n = 5 - i. What is n rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -245. Let s = j - 22. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 + 59*y - 14. Determine t(6).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 29*r + 8. Let d(p) = 58*p - 68*p - 1 + 4. Let b(j) = -8*d(j) + 3*l(j). Let i(o) = -o**2 - o. Give 6*b(s) - 42*i(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2016)\/(-92) - 36\/(-414) - (-2)\/1. Solve -5*y - t*y - 174 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.504947 + -0.2.\nAnswer: -1.704947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 2. Let v be d(6). Suppose 3*x + 3*l = -4 - v, 0 = 5*x - 5*l. Let b(t) = 19*t - 4. Let p be b(x). What is p rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + z = -7*q + 788, 4*q - 2*z - 776 = 0. Calculate the remainder when q is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - 5994662?\nAnswer: -5994692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3414634 + -29707315837\/8700. Let u = -7\/300 + d. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23806\/5 + 4762. Suppose -5*v = -3*p - p - 14, 2*v + 4*p - 28 = 0. Suppose -3*t = -v*t. Is t greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 3 - 6*d + 4 + 2*d**3 + 8*d. Suppose 10*g = -28*g - 38. Calculate p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(13) + 2 + sqrt(13))**2 + 0.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**2 - 5*f - 28. What is the hundreds digit of p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2740\/15)\/(-6 + 3070\/510). Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**2*m**3*p + 41*a**2*m**3 - 12*a**2*p - 158*a*m**3*p + 6*m**3*p + 232*m*p wrt a?\nAnswer: 46*m**3*p + 82*m**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1 + 6 - 2 - a. Let x be p(5). Is -1*(5 - x)*-17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 52 = -137 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = 423445 + 272488. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*3\/27*(-6)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/4 - -2 - (-6)\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10*h - 84 = 0. Are h and -63\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 556 - 661 = 2*t, -70 = -5*z - 5*t for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13324 (base 5) in base 15?\nAnswer: 4c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -724?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -325, -6, 2 in increasing order.\nAnswer: -325, -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1872)*1 + sqrt(1872)))**2 - (sqrt(1872) - ((0 + sqrt(1872))*-2 + sqrt(1872) - sqrt(1872)))**2.\nAnswer: -9360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.036 + 3.136. Let s = -1 + o. What is s rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263611 or -263612?\nAnswer: -263611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + 21\/(-7))\/(-4 + 6). Suppose -305 = -5*k + 260. Suppose k + 43 = b*v. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(208) + sqrt(208) + -4 + 3.\nAnswer: -6 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.57 - 0.43. Which is smaller: s or 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 31 = 3*f, 5*g - 31 = f + 140. Let r = g + -13. Suppose -4*j = -j - r. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -161, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:47 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 + 1816*w - 92 - 1862*w + (5 - 2 - 4)*(5*w + 0*w - 3*w) as h + x*w and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**4\/2 - 48*r**3 - 99*r**2\/2 + 132*r - 42 = 0?\nAnswer: -2, 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -7456. Let m = -41057\/22 - z. Let v = 1\/15 - -7\/120. Find the common denominator of m and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -114. Calculate the common denominator of -21\/20 and ((-6666)\/(-5104))\/(b\/8).\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54030 - 23490. List the prime factors of m.\nAnswer: 2, 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13077, -13073, -13069?\nAnswer: -13065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -145890 divided by -1?\nAnswer: 145890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 14 - 6 = 4*d - 7*t, -t = -13*d - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -120.5*-0.02\nAnswer: 2.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = l - 192, 19 = -l + 2*n + 213. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -12.74. Let w = c + -12.26. Let j = w + 11.999945. Round j to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*c - 0 + 2, -p + 4 = 0. Let h be -2 - (2*c + 2). Suppose h = -0*z - 4*z + 120. Solve -5 + z = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1518 divide 1922932572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28527 or 7?\nAnswer: 28527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**6\/h*h*h*h*h\/h**6*h*h**(1\/6)\/h*h*h**6\/h*(h**6*h\/((h**0\/h)\/h))\/(h**(2\/5))**(-1\/21) assuming h is positive.\nAnswer: h**(1413\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 11:32 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 137754408 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -221\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12*i**2 + 10*i. Suppose 2*y + 2*y - 20 = 0. Let z(q) = 8*q**2 - 7*q. Let f(b) = y*k(b) + 7*z(b). Find the second derivative of f(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15024 + -15025. What is the closest to 2\/7 in -2, -0.04, i, 19.7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6358, -3, 12883 in increasing order.\nAnswer: -3, 6358, 12883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 9*j**2 + j + 3. Let u be v(9). Let r = -10 + u. Put -2, 3, r in descending order.\nAnswer: 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579424091?\nAnswer: 163, 21959657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221 (base 11) in base 7?\nAnswer: -11351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (17 - 18 - (-2 + -11)) - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1088 - -1087.9. Let u = -1 + 1. Sort 3, u, k, -9 in increasing order.\nAnswer: -9, k, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -45*c + 3. Let w(l) = 67*l - 2. Calculate 5*u(v) + 6*w(v).\nAnswer: 177*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.6 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*t + 5*n, 2*t + 1584*n - 14 = 1582*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108) - (sqrt(108) + -2*sqrt(108)))) + sqrt(108) - sqrt(108))\/sqrt(4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-33))*v*v**(6\/19))**(-5) assuming v is positive.\nAnswer: v**(-3260\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*i - 354 = -141 + 257 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405533.\nAnswer: 43, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405, -861, -1321, -1785?\nAnswer: -2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 + 4*m + 4. Let b(d) be the second derivative of 0 + 1\/2*d**2 + 1\/6*d**3 - 7*d - 1\/12*d**4. Calculate -5*b(y) + j(y).\nAnswer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3 + (-1)\/(2\/(-146))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (105\/45 + -16)\/((-2)\/426). What is the greatest common divisor of j and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 - -118. Let j = h - 2534\/11. Calculate the common denominator of -17\/77 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2016 - -2018. Solve -y*m + 2*z + 0*z + 2 = 0, z = -m + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102109750 by -51054875.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - j - j + 10 = 0, -4*v - j = -8. Suppose 0*o + 20 = 5*o, -o + 146 = v*s. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43106088 divided by 11644\nAnswer: -3702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24899\/24 or 1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*x - 184 = 0, 6*q - 1739*x + 535 = -4*q - 1744*x for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.834369 + -45.55436913. Let v = t - 0.28. What is v rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -947332*o**6 + 34*o**3 + 30256946*o**2.\nAnswer: -113679840*o**3 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 - -14?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24833.\nAnswer: 19, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + -0.1. Let r = 1.59987 + p. What is r rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**3 + 3*f**3)*(30*f - 12*f + 41*f + 38*f).\nAnswer: 291*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364091.\nAnswer: 7, 13, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 425206824.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 16 = -5*s. Is s smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = -5. Let g(o) = -o**2 + 5*o - 1. Let w be g(m). Solve 2*f = -3*s - 18, 1 - 12 = -3*f + w*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121787281.8 to the nearest 100000.\nAnswer: -121800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 17*s**2. Let g be z(-1). Suppose 0 = 22*y - g*y - 1890. Suppose 0 = 2*j - 5*k - y, -3*j + 3*k + 770 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1 + 24*h**2 + 27*h**2 - 24*h**2 + 21*h**2. What is the remainder when n(1) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 4, b: 3, y: 1}. What is prob of picking 1 m and 1 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -53. Suppose 0 = 4*m - 3*n - 1569, -4*m = 2*n + j*n - 1548. Is m a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 532*m\/9 - 178\/3.\nAnswer: 2*(m - 1)*(m + 267)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 43*k**2 + 90840*k + 30407. Let u(o) = -30*o**2 - 63588*o - 21285. Let h(t) = 16*p(t) + 23*u(t). What is the derivative of h(v) wrt v?\nAnswer: -4*v - 9084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*w + 2 = 0, -5*l = -4*w - 1 + 11. Let c = -3 + l. Let n be -2 + -1 - -6 - 7. Is c less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/15*8\/3. Suppose -2*w - 5*r - 6 = 0, -15 = -5*w - r - 7. Which is greater: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22260, 44517, 66754, 88965, 111144, 133285?\n\"Answer: -g**3 - 4*g**2 + 22276*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f - f)*(-123*f - 396*f + 10*f - f).\nAnswer: -1530*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1\/56*s**8 + 6*s**2 - 1\/12*s**4 + 0 + 4\/105*s**7 - 2\/15*s**5 + 0*s**3 + 0*s - 1\/30*s**6. Determine q, given that p(q) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -25. Let x = r + 22.00009. Round x to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61361682 and 4623?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2054838872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -127*t**4\/24 - 4*t**2 - 2*t. Let a(w) = -2*w**2. Calculate h(a(q)).\nAnswer: 254*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.3 and -1.983583.\nAnswer: 3.316417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1363 + 4543. Suppose 0 = 10*q - 8*q + 5*f - r, -3*q + 4751 = -2*f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 11, -4 in ascending order.\nAnswer: -5, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001 - -10100?\nAnswer: 100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 - 2\/6. Suppose -5*r + 3*n - 9 = 0, 4*r + 9 = 2*n + n. Is r > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 23*d**7\/210 + 9*d**5\/20 - 25*d**2. Find the third derivative of y(x) wrt x.\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsw when three letters picked without replacement from {y: 4, w: 2, t: 1, s: 2, a: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1087 - 1086. Let p = -47065 - -375993\/8. Let z = 66 + p. Put -2\/3, g, z in ascending order.\nAnswer: -2\/3, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2851212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 2 + 4 - 3*i - 3. Let s = 0 - 2. Let o be s + 1 + -1 + 1. Let l(j) = -2*j + 2. Determine o*t(c) + l(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-287 - -274) + (1 - -4) - (9 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 7}. Give prob of sequence tt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -49*v + 106. What is the remainder when 1479 is divided by x(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 114\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from bbhrshrnrrgbbhb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*l + 23431 + 5711 = -3472*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 348732.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.32 - 14. Let g = -8 - c. Let x = g - -0.256. Round x to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39633887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 38 = 13. Suppose -i*h + 172 = -543. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -44?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656*d - 3*u = -1660*d - 49, 221*u = -221 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-15))\/(0 - 3\/15). Let l be (10\/v + 0)*112\/(-70). Let i be 0 + (-12)\/9*-12. Solve -i + 0 = l*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10) - (-972)\/990.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 24. Solve 5*q = u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -36) + -4 + (3 - 4) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 486 + -9?\nAnswer: 47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*r**4 + 1570 - 1570)*(1 + 2 - 11 + (0 + 0 - 1)*(-3 + 4 - 2)) + (-2*r + 1 - 1)*(r**3 - 11*r**3 + 2*r**3) + 0*r - r**4 + 0*r.\nAnswer: 624*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -1, 5, 7 in descending order.\nAnswer: 7, 5, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3478432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 13) + (-99 - -118)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 7 + 3*h**3 + 30*h + 46.\nAnswer: 3*h**3 + 30*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 48 = -0*y. Suppose 0 = k + 3*k - y. Calculate the remainder when 9 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 + 1 = -a, -2*a = 5*u + 23. Let q(y) = 2*y - 11. Let s(r) = -r + 6. Calculate a*q(d) - 7*s(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -6)\/((-3)\/(-16)). Suppose 0 = -m + 187 + r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -1945, -4214, -7385, -11458, -16433?\nAnswer: -22310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 26. Let b = d + -10. Let q(i) = -57*i - 262. Calculate the least common multiple of q(-5) and b.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k. Let v be c(-8). Let w be (8\/v)\/(1\/12). Suppose -19 = -4*o - w, 0 = -3*n - 4*o - 27284. Round n to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 56*q - 618. Give x(-36).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -0.04091?\nAnswer: -0.34091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15991, -15984, -15967, -15934, -15879, -15796, -15679?\n\"Answer: i**3 - i**2 + 3*i - 15994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 - -7?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.133 times 163?\nAnswer: -3281.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 1840. Let o be (-16)\/(-5) + (-4)\/20. Suppose -3*a = -3*r - 6*a + 282, -o*a + n = 5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 268*g + 16108. What is r(-50)?\nAnswer: 2708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1421739 or -8530435\/6?\nAnswer: -8530435\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**4\/l)**(-43) assuming l is positive.\nAnswer: l**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 8, -2 in ascending order.\nAnswer: -2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1659, 4, 1, 2 in descending order.\nAnswer: 4, 2, 1, -1659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5443 + 5443.05. Which is smaller: h or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371149 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3372, -3374, -3376, -3378, -3380?\n\"Answer: -2*u - 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/14*2\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242 times -101\nAnswer: -24442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 8 = o. Suppose o = 4*k + 5*x, -2*k - 3*k + 10 = -5*x. Solve 0 = -u - 0 + k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 0.2. Let i = -3.1 + r. What is the smallest value in 0.5, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 146*n**2 + 156*n + 1583. Give f(-145).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(11) - (1 + sqrt(11))) + 4)**2*-5.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -10*r**2 + 112*r + 3. Let t be u(7). Sort 0.4, t, 2\/13, -0.3.\nAnswer: t, -0.3, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + 0.71. Let k = -6 + 8. Which is the third smallest value? (a) k (b) -1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 3*z - 13*z**2.\nAnswer: -13*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o - 21*o = 27*o - 623 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:52 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -69*r**5\/100 - 49*r**4\/10 - 58*r**3\/5 - 36*r**2\/5 + 296*r. Factor k(t).\nAnswer: -3*(t + 2)**2*(23*t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 937*q**5 - 4*q**3 - 1477*q**2. Let a(i) = -i**5 + i**3 - 2*i**2. Let r(t) = -4*a(t) - y(t). What is the third derivative of r(p) wrt p?\nAnswer: -55980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -341\/6. Let k be -3*(-6 + 4 - -3). Let y be ((-16)\/(-3))\/(-4) + (-4)\/k. Is d not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 388900 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = 7638*k - 7588*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - -9.76. Let w = -10.8600593 + v. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -324. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4108193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -197*w**2. Let a(s) = 69421*s. Determine a(x(c)).\nAnswer: -13675937*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4697 - 4697 + 3*p**3 + p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 15*k**2 - 16*k - 2. Let u be v(16). Let l be (7\/(-42))\/((-1)\/u). Which is the second smallest value? (a) -0.3 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/30 and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**6\/12 + 7*y**5\/30 + 6*y**2 - 12*y. Let a(h) be the first derivative of v(h). What is the third derivative of a(f) wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-11 + 3 + (6 - (13 + -10)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 188*(-13)\/(-39)*48*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**5)\/z)**(-3\/41)\/(z*z**24*z*z*z\/(z*z*(z\/(z\/(z*(z**8\/z)\/z)))\/z)) assuming z is positive.\nAnswer: z**(-838\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(((-56)\/(-196))\/(2\/(-1)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*s = -5*s - 1, 3*l - s = 1. Let b = l + 7. Let d(g) = g + 20. Calculate the remainder when d(0) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*d**3 - 16457*d**2 + 16457*d**2 - 911 + 911.\nAnswer: -196*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 5*j + 1. Let n be f(7). Let m = n - -16. Find x such that -2\/9*x + 0 + 2\/9*x**m + 2\/9*x**2 - 2\/9*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -34, 1\/8, 2\/9, 78, 6\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-47)\/((2\/(-6))\/(13\/39)). Suppose 5*n - 185 = -5*c, c + 60 + v = 3*n. What is the remainder when n is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -10918\nAnswer: 17\/10918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w*y - 6889*w - 2*y + 5467 wrt w?\nAnswer: -2*y - 6889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 + 16*c**4 + 24*c**3 + 16*c**2 + 4*c = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/6 + 1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(2\/24). What is the units digit of (-20)\/b + 12\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, -258, 3 in descending order.\nAnswer: 3, -166, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232678 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37125 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180383.\nAnswer: 7, 73, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422709 + 1422709 + 745*s**3 - 742*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 1. Let j be 1\/(6\/3 - 1). Let x = j + -4. Let z be v(x). What is the greatest common factor of 44 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 5. Let a be j(-6). Suppose 2*c + 3 = a. Solve -4*b + 3 = -3*z + 17, -5*b - c = 4*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -38*b - 28. Let u(w) be the third derivative of -25*w**4\/8 - 19*w**3\/2 + w**2. Let y(z) = 9*c(z) - 4*u(z). Find the first derivative of y(a) wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -609407.\nAnswer: -4\/609407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -9. Suppose 0 = 3*k + 9, k - 1 = n*x - 5*x. Suppose -x*t - t + 27 = 0. What is the highest common factor of t and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.4*-3871.\nAnswer: -44129.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/(-36))\/(-21)*2*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - x**2 + 7*x**2 - 5*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, h: 3, r: 7, j: 2}. What is prob of sequence hjr?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -525*d - 526*d + 2107*d - 35*d**2 - 528*d + 2 + 8*d**3 - 529*d to t*d**3 + x*d**2 + s + h*d and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 12. Suppose n + 2 = 2*n - 4*l, -5*l + 10 = 5*n. Which is the nearest to y? (a) n (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16111 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 729122564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/(p**(1\/5)\/p))**(1\/47)*((p\/(p*p\/((p\/(p*p*p\/p**3))\/p*p)))\/p*p**(1\/19))\/(p**(-1\/4)\/p*p\/p**(-5)) assuming p is positive.\nAnswer: p**(-107151\/17860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m - 60. Solve 5*h - h + m = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135659162173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(1\/54))**(20\/9)\/((z\/z**(-2))\/(z*z**(-1)\/z)*(z**1)**(3\/7)) assuming z is positive.\nAnswer: z**(-7561\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/((-540)\/(-189))*13\/637*(-1)\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -503*y + 122500. Give x(248).\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 5. Let r be n(3). Solve 2*u + r = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (5 + sqrt(832)*1 - sqrt(832))) + (sqrt(832)*2 + sqrt(832))*-3)**2*5 - ((sqrt(325) + sqrt(325) + 0 - sqrt(325))*1 + 0)**2*-3.\nAnswer: 3200*sqrt(13) + 267340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/514 - -2177\/1285. Calculate the common denominator of x and -32\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110202112022 (base 3) to base 8.\nAnswer: -752432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*-13\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z + 156. Let m(r) = r - 26. Let g(b) = c(b) + 6*m(b). Let y(t) = 566*t. Give y(g(v)).\nAnswer: 1132*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.6 or -0.08772?\nAnswer: -0.08772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 92*v**2 - 333*v - 47. Let g be b(5). What is the highest common divisor of g and 2499?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2 - 212*p - 28. What are the prime factors of k(35)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 62?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 35*g)*((5 - 2 - 4)*(-3 + 5 + 4) - 1 + 5 - 3).\nAnswer: -175*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1316?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (40 + -58 + 19 - (-2 + 5 - 13))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 624?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-18))\/((-2)\/(-4)) - 94. Suppose -577 - 81 = 7*j. Let w = j - i. What is the highest common divisor of w and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173884 is divided by 3279.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 15. Let t be 4\/((-80)\/i) + 1\/(-4). Let q = 0.5 + -0.7. Which is the fourth biggest value? (a) 1\/8 (b) q (c) 1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(216) + sqrt(216)*-3)*6)\/(((sqrt(120)*1 - sqrt(120))*4 + sqrt(120) + sqrt(120) + sqrt(120))\/sqrt(10))*-6)**2.\nAnswer: 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 18*f - 35. Let b be c(15). Let h be b - 1 - (-24 - -23). What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1937 divide 13865750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10599 + 12504. What is the remainder when q is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 140281261*j**2. Let m(c) = 3*c**2. Calculate m(k(b)).\nAnswer: 59036496563250363*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(5) + -2)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 351\/768620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 5. Suppose -l - x = 0, -7*l + x = -3*l + 25. Calculate f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43644 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b**3*h**3 - 4175521*b**3*h - 1680*b*h**2 + 8*h**3 wrt h.\nAnswer: -78*b**3*h - 3360*b + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0026 - -0.009. Let n = 42.1936 + k. Let u = n - 43. What is u rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j. Suppose -2*q - 3*t + 26 = 1, t = 2*q - 5. Let k(u) = 0*u + 3*u - u - q*u. What is k(a(n))?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382*a**3 - 127*a**2 wrt a.\nAnswer: 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 55403?\nAnswer: -55405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 47 = -d, j - d - 7 = -2*d. Suppose -5*v - 840 = -j*v. Suppose 3*x + 3*x - v = 0. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 17*i + 7 = 0. Suppose 36280 = i*z - 38949. Suppose 4*n + 14453 = -z. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.683 + 0.317. Let i be -4 + 1\/((-6)\/(-26)). Which is the fourth smallest value? (a) 0 (b) o (c) i (d) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 41854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 49*w**2 + 4*w + 4. Let f(g) = -295*g**2 - 25*g - 25. Let n(q) = 25*a(q) + 4*f(q). Let x be n(-1). Suppose -x = -5*h + 65. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10 = 2*s. Suppose s*o + 3*u + 32 = 0, -4*o - 24 = -3*u + 5*u. Round o to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 4*x**2 + 5*x - 1. Let s be k(3). Suppose -28 = -4*t + s*l, -4*t + t - 2*l - 2 = 0. Let c = 3690\/17 - 217. Sort t, -2, c.\nAnswer: -2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*z + 2*i, -4*z = -0*i + 5*i - 12. What is the lowest common multiple of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:29 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(39\/(-78) + 1\/(-1)). Put -1, -10, o in ascending order.\nAnswer: -10, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 10370535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -260296 (base 10) in base 12?\nAnswer: -106774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11*b + 72 = 0. Let z be (-1116)\/(-14) + b\/(-28). What is the highest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6552 by -3.\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 78*b - 85*b - 5*j, 6*j - 4 = -10*b + 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 573034 and 2002?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2831, 2829, 2827, 2825?\nAnswer: 2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 8\/12 + 155\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 13, -4, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 116\/5 (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331896 + 525436. Suppose -3*i = 527566 - p. Let j = i - -201342. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 67 - (1 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 14, -0.5, -0.2, -3, 1\/8 in ascending order.\nAnswer: -3, -0.5, -2\/9, -0.2, 1\/8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -125. Suppose -3*g + b = -249. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95\/2 - 57. Calculate the common denominator of 119\/20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*x**4 + x**3 + 67896*x**2 + 7*x + 4789687.\nAnswer: -252*x**2 + 6*x + 135792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 10. Let k = -58 + 55. Let g = v + k. Which is the smallest value? (a) g (b) 3\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*v - 105*v + v**2 - 49 + 21 + 17 - 37*v**4 with respect to v.\nAnswer: -148*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292596262 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b - 3*o + 32, 0 = -o + 1. Let z = -22 + b. Calculate the smallest common multiple of z and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**6\/360 - o**5\/24 - 25*o**4\/12 - 77*o. Let m(u) be the third derivative of r(u). Let j = 4 + 1. Determine m(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1472301 + 4222293. Suppose -3*j + 1650004 = -0*j + 2*l, t = 5*j - 4*l. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {g: 4, z: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**3\/3 - 7*o**2\/2 + 8*o - 101. Determine s(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 7*w - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/13 + 82*j**2\/13 + 798*j\/13 - 882\/13 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025432386 to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, -71 in increasing order.\nAnswer: -71, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/46240 and 131\/27744.\nAnswer: 138720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = 3*k - 175681, 0 = 5*k + 5*j - 292805. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834fd (base 16) in base 8?\nAnswer: 2032375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -12 (c) 1\/8 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 242510.771 and -0.3.\nAnswer: 242510.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 4*n**2 + 0*n**2)*(0 - 5 + 4) - 19*n**2 + 6*n**2 + 6*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 0.9, 140 in descending order.\nAnswer: 140, 3, 0.9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15262*z**2 - 4812*z + 195206617 with respect to z.\nAnswer: -30524*z - 4812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -179. Let a = -133.00157 + v. Round a to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i. Let k(l) = 2*l**2 + 1520. What is p(k(f))?\nAnswer: -12*f**2 - 9120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0*d - 1\/5040*d**7 + 0*d**6 + 0*d**3 - 1\/12*d**4 + 0 + 0*d**5 - d**2. Let v(b) be the second derivative of m(b). Factor v(x).\nAnswer: -x**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -57. Let s = 30 - x. Let b = 0.036 - -0.164. What is the nearest to -1 in s, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 7. Let v = -8 - -2. Let n = 5 + v. What is the closest to 2\/9 in n, o, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/7 (b) -2\/21 (c) -10\/19 (d) 0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 2, b: 2, d: 1, c: 1}. What is prob of sequence bcdh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhwrhw. What is prob of picking 2 w and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 1617*q + 1616. Let u be a(-1). Factor 0 + u*s + 1\/2*s**4 - 17*s**3 + 289\/2*s**2.\nAnswer: s**2*(s - 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4807660 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127668.5 rounded to the nearest one hundred?\nAnswer: 127700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2918*l**2 - 6*l - 17 + 17 + 27*l**3 - 2918*l**2.\nAnswer: 27*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195.5 - -34.3. Let o = -118 - z. Let f = -43 + o. Which is the biggest value? (a) f (b) 4\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.04, -2.3, 1\/1208, 4, -2 in descending order.\nAnswer: 4, 2, 1\/1208, -0.04, -2, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r**2 + 10*r - 10. Let a = 379 - 375. What are the prime factors of o(a)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1972*j**6 + 1611*j**2 wrt j.\nAnswer: -236640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/35, -266, -1\/14 in descending order.\nAnswer: -1\/14, -4\/35, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/12 - 3*f**4\/8 + f**3 + 2*f**2. Let y(u) = u**2 - u. Let j(m) = -r(m) + 6*y(m). Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 - 6*j**3 + (-5*j + j + 3*j)*(-39*j**2 + 66*j**2 - 40*j**2).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -5 (c) -4\/9 (d) -14.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*c - 2, -3*c = w - 0 + 3. Suppose a + 4*a = 0. Solve w = -a*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:34 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22510 (base 8) to base 9\nAnswer: 14074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*p + 3696 = -0*p, -3*n = 5*p - 5554. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 1, m: 9, s: 5}. Give prob of sequence me.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v - 11*v**3 - 108*v**2 + 9 - 13*v + 109*v**2 - 4 to the form g + t*v**3 + p*v + r*v**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 2*b**3 + 4*b**3 + (12*b**2 + 3*b - 10*b**2 + 8*b)*(515 - 515 - 19*b).\nAnswer: -36*b**3 - 209*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6095137?\nAnswer: 71, 85847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 2 - (-23 - -5)\/(-6). Let x be 312\/(-9) + (-4)\/(-6). Let n be 2\/(-4) + x\/(-36). Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0*l - 4*l + (-1 + 1 - l)*(-37 - 18 + 15).\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -0.04, -0.2, -0.4 in descending order.\nAnswer: 3, -0.04, -0.2, -0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*h + 4 = 149*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -222160861*b - 274123816 wrt b.\nAnswer: -222160861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.4 (b) -155 (c) -1\/178 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 35197*d**2 - 12530*d - 31 + 12530*d.\nAnswer: -35197*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138031124*l**2 + 326570872.\nAnswer: 276062248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13340 is divided by 1212.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*-1*6)\/(-1*sqrt(16)))**2.\nAnswer: 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w - 0*o + o, -3*w + o = 15. Let t(u) = -5*u - 6. Let m = 41 + -33. Calculate the smallest common multiple of m and t(w).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 1265, 1904, 2547, 3194, 3845?\nAnswer: 4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114349 by 5.\nAnswer: -114349\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 27*a - 161 - 282, 24*b - 13*b + 3*a - 43 = 5*b + 8*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*m = -12, -4 = 5*g - m - 43. Suppose g*l - 243 - 191 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 782472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -6\/563?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -2)\/(59\/(-49029))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1800 and 720?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + b6fb?\nAnswer: b718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(78) + (sqrt(78) - (sqrt(78) - (sqrt(78) + -1*sqrt(78)))*-3) - (2*sqrt(78)*-2 + sqrt(78)))\/(6*(1*-2*sqrt(6) - (sqrt(486)*2 + sqrt(6)))).\nAnswer: -4*sqrt(13)\/63 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 58 - 18 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 133223300100 (base 4) in base 12?\nAnswer: 2946640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054179 hours in milliseconds?\nAnswer: 195044.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316899320?\nAnswer: 2, 5, 7922483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/4 + 5*f**2\/2 - 12. Find the second derivative of q(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47194831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 30 = 4*h. Suppose 0 - h = -5*m. Determine a so that a - 31*a**m + a + 1 + 32*a**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 1:55 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (283 - 283 - 6*s)*(80 - 41 + 69 - 14 + 77) as y*s + b and give y.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c - 3*c. Suppose -125 = 5*j + c*g - 328, -4*g + 125 = 3*j. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p**2 + 4*p**2 - 7*p**2)*(0*p + p + 6*p)*(p + 3*p - 3*p) to the form n*p**3 + a*p + j + f*p**4 + d*p**2 and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in 0.5, 1, 1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 231?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -38 + -16 - -42\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + 0.1. Let p be (84\/78)\/(-7) + 48\/(-364). What is the third biggest value in 2, -0.3, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1900) + -1*sqrt(1900))**2 + 5 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 445464, 445421, 445380, 445341?\n\"Answer: u**2 - 46*u + 445509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38458, -38447, -38436?\n\"Answer: 11*w - 38469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 0 + 6 - 4 + (-i - i + i)*(3 - 3 + 1) - 3*i + 3*i - 2*i - i - 2*i + 0*i + 2 + i - 2 as m*i + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 1 (b) 0.019 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 3*z = 19*l + 22, -3*z + 8 = l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1190 - 3529\/3. Let n = p + -454\/33. What is the closest to -2\/13 in -2, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22690 - -46585. Is q a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10438 divided by 5219\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:01 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9712.962kg in micrograms?\nAnswer: 9712962000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 9) + -10 - (-3 + -9 - -4) - 37.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 170*q**2 - 5872*q\/7 + 2360.\nAnswer: -2*(q - 2)*(q + 7)*(q + 590)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1844838324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.3. Let m = -3.8 + 4.6. Let f = h - m. Which is the third biggest value? (a) 0.2 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 - 10*l - 13. Let o be s(-9). Let w = o + 9. Suppose -i + 8 = i. What is the second smallest value in w, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/(n*n\/(n\/(n**(-7\/4)*n))))\/(n**(-1\/2))**37)**5 assuming n is positive.\nAnswer: n**(265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -26, -75329 in ascending order.\nAnswer: -75329, -26, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/11336 and -55\/104.\nAnswer: 11336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*v - 39. Let h = v - -22. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*p + 89 = 0, 63 = 9*m - 6*m + 2*p. Suppose -62 = -9*t + m. Solve -1 = -5*x + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(-4*14\/(-280))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 + 2 + z**2 - 4*z**2 + 2*z**2 - 3*z to u*z**2 + h*z + v and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89370.14 decades to years.\nAnswer: 893701.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -80798 (base 11) to base 8\nAnswer: -346502","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/83, 4\/5, -0.1 in descending order.\nAnswer: 4\/5, 12\/83, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p - 2*i + 5, 4*p - 5*i = -1. Let a = -20 - -17. Calculate the lowest common multiple of 6 and (p + a)\/(3\/(-24)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -123*u + 1626. Let y be f(13). Solve 0 = y*v - 28*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = t - 68928 + 68977, -4*t + 5*a + 35 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 115. Let w = x - -61. Suppose 3*v = -b - w + 49, -2*v = 3*b - 135. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.01011 years in decades?\nAnswer: 0.801011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254830 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*12\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175926 - -44312. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -974 or -975?\nAnswer: -975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3001 + -301021?\nAnswer: -232020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from mdbbdmedbddm.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, and 1 p when three letters picked without replacement from {d: 5, r: 1, p: 1, t: 8, i: 2}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 20304?\nAnswer: 142128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85869 and 1701.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654008.5 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205\/4 + 1829\/36. Is -1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/(7\/(336\/(-36)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/28 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 164 = -16 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 856902317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:32 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -793751*d**2. Let n(k) = -4*k. What is n(y(w))?\nAnswer: 3175004*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 0.2, -22, 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (((sqrt(120) - (2*sqrt(120) - sqrt(120) - sqrt(120)))\/sqrt(12))\/sqrt(2))**2*-4*-4).\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9855 is divided by 1095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22594 + 22636. What is the lowest common multiple of o and (-4)\/(-10) + (-176)\/(-10)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 3 + -5 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6703 - -0.5703. What is the third biggest value in 222, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*h + 563*h - 216*h + (-2 + 1 - 1)*(-3*h + 6*h - 5*h).\nAnswer: 411*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 142.1 (b) -724 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434 by -7.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -29612*d**2. Let n(k) = k - 4. Calculate n(h(f)).\nAnswer: -29612*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44313855.\nAnswer: 3, 5, 353, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -34. Let n(k) = -k**3 + k**2 + 2*k - 3. Let t be n(3). Let q = t - g. Calculate the lowest common multiple of q and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (21*(-77)\/(-84))\/(1\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + (-1 - (0 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*s**3 - 32*s**4 - 123*s**3 + 35*s**4 + 34*s**2 as p*s + m + z*s**4 + a*s**3 + o*s**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let l(t) = 7*t + 20*t**2 + 3*t - t - 7*t. Calculate b(l(m)).\nAnswer: 40*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*w**3 - 147*w**3 + 56*w**3 + 58*w**3.\nAnswer: 63*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1441, 1872, 2303, 2734?\nAnswer: 3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250536 divided by 125268.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-333982 - 290*k - 212*k + 333982)*(k**2 - k**2 - 2*k**3) as d + s*k**2 + r*k + f*k**3 + h*k**4 and give h.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -67*q**2 - q + 4. Let i be p(-5). Let c = -642 + i. Let s = -1621 - c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(245) + 0 - sqrt(245))*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3249569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 5. Let l(d) = -d**2 - 7*d. Let z be l(q). Suppose z = 4*u - 34 - 66. Solve 2*f + u = 7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 + 154*y**4 - 4313*y**3 - 3801599*y**2?\nAnswer: 60*y**2 + 3696*y - 25878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4 (c) 4\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355330134235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6 + 7*v + 4 - 8*v**2 + 7. Let l be a(-9). Suppose 2*f = l + 51. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5662.\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7.9 times -0.076\nAnswer: -0.6004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22476 and 0.4.\nAnswer: 22476.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*m - 4, 2*z - m - m - 4 = 0. Find the first derivative of 43*u**z + 14*u**3 - 24 - 26*u**3 wrt u.\nAnswer: 93*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11531207291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 80401464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = -37*l + 41*l, 2*b + 20 = 4*l. Is -156 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370319 and 7447.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 1\/65 in decreasing order.\nAnswer: 0.2, 1\/65, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.577 * 2914.\nAnswer: -1681.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*z + 14 - 63, -4*l = -5*z + 124. Calculate the highest common factor of z and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 26. Let z be (-3)\/p - 4\/3. Let w be (-1 - 0)*3*z. Solve 2*r + 4*o + 19 = r, -17 = w*r + 4*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 58788800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*w - 3 + 3*w - 4*w.\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -227, -373, -521, -671, -823, -977, -1133?\n\"Answer: -t**2 - 143*t - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 429821\/46468 - -2\/11617. What is the second biggest value in 0.5, -5, -1, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-3)\/(-18). What is the smallest value in d, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18) - 253\/198)\/(18 + 952\/112).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4983, -20282, -46449, -84030, -133571, -195618?\nAnswer: -270717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*g**2*x*y - 2884770*g**2*x - 86*g**2*y - 2*g*y - 11*g - 2*x + 3*y + 307 wrt x.\nAnswer: -12*g**2*y - 2884770*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/54)\/(84\/6426)*(-18)\/(-12).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15226 is divided by 1381?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201101021102 (base 3) to base 5.\nAnswer: 44201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-24) + 35*(-5405)\/(-1932). Solve -b*v = -634 + 1516 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155337 = -i - 4*q - 808479, -q = 2*i + 1306333. What is i rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4260.1 millennia?\nAnswer: 42601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 3*w**2 + 4*w + 34. Is l(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/4 + 116851*r\/4 + 29213 = 0. Calculate r.\nAnswer: -1, 116852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 24321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j + 83. Let n be 6\/1 + 10*11*14\/308. What is m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:18 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6477869835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -110*g**3 + 17*g**2 - 28*g - 88. Let h(n) = 52*n**3 - 8*n**2 + 13*n + 44. Give -13*h(x) - 6*y(x).\nAnswer: -16*x**3 + 2*x**2 - x - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 3*x + 24, w - 3*x + 635 = 647 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (5 + -6)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*d**2\/2 + 75*d\/2 - 1.\nAnswer: (d + 1)*(77*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35245 (base 7) in base 11?\nAnswer: 6887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b**2 - b**2 + (3*b - 3*b + b**2)*(-1 + 1 + 1) - 4*b**2 - 4*b + 4*b + 81*b**2 - 14*b**2 - 4*b**2.\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 12\/5 (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 + r**2 + 3*r. Let z(j) = -j**2 - j. Let i(m) = p(m) + 3*z(m). Find the third derivative of i(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4218)\/111)\/266*28\/(-13).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2718 + 2616. What is the smallest common multiple of 4 and a?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77.1297 nanograms?\nAnswer: 0.0000771297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 11 + 14*j**4 + 23 - j in the form u*j**3 + s*j**4 + k + h*j**2 + g*j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))**(-7\/5)*p**(6\/5)\/(p\/(p*(p\/(p*p*p**(6\/7)))\/p)) assuming p is positive.\nAnswer: p**(-58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124259 and 9179.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 105 = -3*g - 149, 0 = -4*g. Suppose c + 95 = z. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5293.695382298 + 5308.645381. Let m = -14.95 + z. What is m rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + (-150)\/(-9))\/((-5)\/(-5))*(-6 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54.24 - 53. Let r = 1.14 - w. Which is the closest to 0.2? (a) -0.4 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*w - 2*w. Let y be (w + -3)*(-3)\/(-6). Let z be 2 + -1*(-11)\/(-2). Does z = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29886991?\nAnswer: 41, 157, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 11072906?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6789 = 234*h - 5257 - 7142 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 2*v + 3. Let g be -2 - (-7 - -1)*1. Calculate the remainder when b(6) is divided by 1*(4*16)\/g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from pjnnjanntp?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11992 is divided by 11988.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*v**2 + 114*v**2 - 225*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105 = -65*m - 4*q - q, 3*m = -m - q - 133 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -0.3, -992\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o**2 - 2*o - 5. Let a be w(-2). Let r be 26 + a*(-3)\/(-9). Let u be 114\/r - (-4)\/(-18). Solve -5*z = -u*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 54735751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 30\/8 - (-206)\/8. Suppose -4*m = 5*i + 3 + 7, -4*m = -3*i + a. Is i\/(-4)*10*4\/(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784311.6 millilitres to litres.\nAnswer: 784.3116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*4)\/sqrt(7) + sqrt(2) + 6*sqrt(200) + (-2*sqrt(450))\/(sqrt(9) + 5*sqrt(81)))**2*-4.\nAnswer: -265225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 37*u - 40. Suppose -2*h + 4*k - 2 = -26, -3*h = -3*k - 48. Calculate the lowest common multiple of 20 and y(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10787 and 7705?\nAnswer: 53935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -13571.\nAnswer: -5\/13571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 - p - 1. What is the remainder when (760\/(-50) - -14)\/(1\/(-15)) is divided by j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.16 - 27.11. Put o, 0, 12, -4 in decreasing order.\nAnswer: 12, o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8490628?\nAnswer: 2, 2122657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u - 39*u - 55*u)*(-16 + 40 - 9).\nAnswer: -1125*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*1\/(-4)*2. Let v = -38 + 43. Solve 0 = -x*a - f - v, -5*a - f + 3*f + 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/5*64\/(-10). Suppose -4*l = p, -7*p + 11*p - 14 = -2*l. Suppose 296 = p*k - w. What are the prime factors of k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 4*c = -12, -3*c = 0. Suppose 2*f - g*m - 104 = 0, 45 = 4*f + 2*m - 183. Let n = -6 - -20. Calculate the greatest common divisor of n and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 888732792 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1754290000 to the nearest one million.\nAnswer: -1754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -23*q - 153. Let b = 61 - 68. Let i be m(b). Let k(d) = 3*d + 2. Let p be k(6). What is the highest common factor of i and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 14*p + 2. Let i(n) = n**2. Let y(t) = 4*i(t) - k(t). Suppose -2*u - 12 = 2*a, -2*a - 2*a = 3*u + 28. Is 30 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*n = 3, -4 = 5*n + 1. Suppose -2*h + m + 10 = 0. Put h, -2, -1 in ascending order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 38\/37383?\nAnswer: 38\/37383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/7)\/u*u*u*u)**(-24\/7)*u**0\/(u*u*u\/(u*u**(-4))*u))**(29\/2) assuming u is positive.\nAnswer: u**(-23171\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102 (base 5) in base 11?\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 471.49059?\nAnswer: -466.49059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 - 1 = 0. Let z be (2 + f)*-1*0\/17. Let d(a) = -a. What is d(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*m + 40 = 0, 5*h + 2*m - 137 = -5. Let p = h - 15. Let d(i) = 12*i - 128. Let x be d(15). What is the highest common factor of x and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose -33 = -s*m + 15. Let n(a) = a - 11. Let k be n(m). Solve -4*v - 3*q + k = 2*q, v + 5 = -3*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 1134 in increasing order.\nAnswer: -6, -2, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079197 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 9)*(-26*b + 10*b - 9*b)*(1 + 5 + 3).\nAnswer: -1575*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 + (-4)\/(-18). Suppose x*g - 8 = -4*g. Let t(f) = 0*f - 3 - 3*f - 4*f**g + 3*f**2. Calculate t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Suppose -8 - 13 = -3*c - r, -30 = -u*c - 4*r. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + u**3 - u**2 + u + 5. Let g be h(-3). Let q = 4 + 38. Calculate the greatest common divisor of q and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 12 + 8 + -26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867 = -4*p + 3*n, 296 = -4*p - 3*n + 1181. Is p < 220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12) - -1)\/((-4)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 3\/5, -0.349, 1\/35?\nAnswer: -0.349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -109, -5.\nAnswer: -109, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 24. Let z be 1\/(-2)*m - -141. Round z to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (5 - (2 + 2)). Suppose i = 2*m - 4 - 6. What is the first derivative of 8*u**3 - 38*u + 38*u + m wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 4*l - 1. Let i(f) = -f. Let j(u) = -7*u + 2*u**2 + 1 - 4*u**2 + 3*u**2. Let y be 2\/8 - 54\/(-8). Let s be j(y). Determine s*x(m) - 4*i(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329135 is divided by 6362.\nAnswer: 5839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-4)*2 + (-790062)\/47751\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*-0.007.\nAnswer: 0.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 10*b**2 + 12*b - 6. Let s be x(9). Let l be ((-6)\/s)\/((-1)\/7). Suppose 0 = 3*c + 4 - 16. Solve 6 = l*z, -y + 5*z = c*y + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 + -205. Let w = 46.77 - -0.23. Let z = w - x. Which is the closest to z? (a) -4 (b) 2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - 95. Is (-13)\/39 - (-5668)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.02 + -0.02. Let k = -1.5 + j. Let r = -1.1 - -1. What is the closest to -0.1 in -2, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:56 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9644214 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -11\/3. Let n = 0 - 1. Let d = n + 2. Put d, -3\/4, x in descending order.\nAnswer: d, x, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 30*f**2 + 163*f - 3403. What is the tens digit of h(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3006*m**2 - 3*m - 3307*m**2 + 2*m + 3053*m**2 - m in the form w*m**2 + c*m + l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**3 + 4*n**2 + 3*n - 3. Let d(a) = -10*a**3 - 7*a**2 - 5*a + 5. What is 4*d(m) + 7*u(m)?\nAnswer: -5*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 7*q - 2*q + (2 - 4 + 1)*(-3*q + 0*q + 2*q) - 2*q + 5*q - 3 - 2*q to the form z + r*q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + 101. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 1. Let q(s) = 5*s - 2. What is 5*p(u) - 4*q(u)?\nAnswer: 5*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 1071 - 11*l + 21*l.\nAnswer: 3*l + 1071","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 - 19. Let v(y) = 20*y**3 + 5*y**2 - 10*y + 3. Let r be v(3). Suppose -13*t = 5*t - r. What is the remainder when q is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -12. Let y = -4 + w. Let j = 527\/7 + -75. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22536516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -200040*j**3 + 200040*j**3 - 605 - 3*j**4 - 36*j wrt j?\nAnswer: -12*j**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1999115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, -221 in increasing order.\nAnswer: -221, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/(1 - 9\/3). Solve 0*h + b*h**3 + 2\/11*h**4 + 2\/11 - 4\/11*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54) - sqrt(270)\/sqrt(80) - sqrt(54))\/(3*(sqrt(2) - sqrt(6)\/sqrt(3)) - sqrt(2))*6.\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035*b - 1791 = -2234*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccvcvvcll. What is prob of picking 1 l and 1 v?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 + 4*b**4 - 5*b**4)*(0 - 3 + 0) + (-86*b**2 + 86*b**2 + 121*b**4)*(1 - 4 + 4).\nAnswer: 118*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -626122 + -533?\nAnswer: -626655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 74 = -66. Let b be 2\/8 + (-8)\/((-32)\/s). Suppose l - b = -j, l + 2*l = -5*j + 37. Solve -4*w - 11 = 5*k, w + 7 = -k + l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010100110100111001010 + -100?\nAnswer: -100000010100110100111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 1, -6\/13, -0.1, 2, -5\/31, 3?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20134\/6 + 7 + 207\/(-27). Let d = i - -1025. What is d rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t*t**(1\/2))\/t))\/t**(-30))\/((t**(-15\/7)*t)\/t**(3\/4)) assuming t is positive.\nAnswer: t**(935\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*i - 9, -3*i - 5*f = -8*i + 15. Suppose 15 = 5*v - 0*v + 3*r, 0 = i*v + r - 7. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpq when three letters picked without replacement from pqx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -107. What is d rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1423550626 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22499 + -22492. Solve -27*v = c*v + 238 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125749007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1603326*i - 1 + 0 + 1.\nAnswer: 1603326*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8825*t - 645 = -8782*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 155*n - 3130. Let p be b(26). Calculate the highest common factor of p and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 3*h**2 - 2*h - 3. Let b be m(-3). Let d(s) = -2*s**2 + 18*s + 27. Let u be d(10). Suppose -b*n = -u*n. Solve -r = -n*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1992 and 3972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1090670, -1, 3, 0 in decreasing order.\nAnswer: 4, 3, 0, -1, -1090670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/32 and 19\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 5*k + 200 = 0. Suppose k = v + v. Suppose 0 = -d - 4*d - v. Sort d, 6, -1 in increasing order.\nAnswer: d, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 269?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 12*i = -486444. Let o = i + 321611. What is o rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-2)\/3))\/((-32893)\/4699)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*(3880\/1746)\/((-60)\/(-9)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 722*m**3\/7 + 60344*m**2\/7 - 833080*m\/7 + 2673408\/7.\nAnswer: 2*(m + 96)*(19*m - 118)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*j - 2*s, -3*s = 2*j + 3 - 2. Find the third derivative of 2*o**j + 0 + 11*o**5 + 21*o**5 + 6*o**2 - 5 wrt o.\nAnswer: 1920*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62866864 and 1552.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 907, 1849, 2791, 3733?\nAnswer: 4675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s - 18*s + 72 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -721 - -717. What is the nearest to -1 in 1, g, 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 4*z + 5*z - 3*z**4 - z - 1 to a*z**3 + n + c*z**4 + j*z**2 + g*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 60. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 64*x - 42. Let y be g(-29). Round y to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1418\/(-14) + -1 - (-1908)\/1484*(-32)\/(-144).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:28 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -24. Let d be ((-3)\/33 + -1)\/(z\/5). Which is the closest to 1? (a) 0.3 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/5 + 99221504*t\/5 + 615306678501376\/5.\nAnswer: 4*(t + 12402688)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l**2 + 18*l**2 + 2*l**2)*(-2 + 0 + 4) as u + t*l**2 + y*l and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(696\/1566)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 + 100*n - 24. Let w(o) = 2*o - 3. Let c be w(2). Let t(j) = -6*j**2. Calculate c*t(y) - 5*q(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*n + 51*h - 53*h, 0 = -5*n - 4*h - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -198. Suppose o - g = -20. Suppose -2*a = a + o. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.43 - -24.3. Let b = 1.23 + r. Round b to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 3*f**8\/56 + 3*f**5\/20 + f**3\/6 + 4*f**2. What is the third derivative of l(w) wrt w?\nAnswer: 1080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2688 + 3866. Suppose 0 = -4*u + 2*j - 384 + y, 1005 = 5*u - 5*j. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 4, k: 3, l: 1, e: 5}. What is prob of sequence lkw?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d = 131*d + 3*d - 2387084. What are the prime factors of d?\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 274579552 and 218.\nAnswer: 274579770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 1. Let z = 2 + -6. What is the remainder when 8 is divided by s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(y**2 - y + y) - y**2 + 0*y**2 + 2*y**2 + (2 + 5 - 5)*(-3*y**2 + 3*y**2 - 2*y**2).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 40 = 40. Let i be (2112\/9)\/16 + x\/6. Calculate the greatest common divisor of 217 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5905448, -10, 3 in descending order.\nAnswer: 3, -10, -5905448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -60 + 415\/6*w**2 - 5\/6*w**5 - 55\/6*w**4 + 25\/3*w - 15\/2*w**3 = 0.\nAnswer: -9, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1653, 3295, 4935, 6573, 8209?\nAnswer: 9843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 8\/6 + 85261\/69. Let a = j - 830. What are the prime factors of a?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6955, -6942, -6929, -6916, -6903, -6890?\nAnswer: -6877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401197382.\nAnswer: 2, 47, 127, 201139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/12*(-84)\/112.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17551 (base 9) in base 2?\nAnswer: -10111101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/24)\/(93\/124)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 + -128. What is the second derivative of 2*a**5 - 7*a**2 + 2*a - 21*a**2 - 26 - p*a wrt a?\nAnswer: 40*a**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3*x**3 + s**3*x**2 - 11941*s**3 + 2*s**2*x - 65*s*x**2 + 21*x**3 + x**2 wrt s.\nAnswer: -6*x**3 + 6*x**2 - 71646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/10 - (-12)\/30. Solve -3*m + f = w, 0 = -m + w - 1 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180 - 179.8. Let g be ((-4)\/(-130))\/((-8)\/(-40) + -1). Which is bigger: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -24. Let p = f - 20. Suppose p*g - 2*v - 42 = 0, 13 + 2 = g + v. Which is bigger: 19 or g?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281 - 1125\/4. Which is the third biggest value? (a) 10\/11 (b) -1 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 4 = 49. Let a(q) = -q**3 + 5*q**2 + 2*q - 8. Let m be a(s). Let c(f) = f**2 - 3*f + 5. Let z be c(m). Put -8, z, 5 in ascending order.\nAnswer: -8, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f. Let v(h) = -h**3 + 10*h - 4. Let j(u) = 3*b(u) - v(u). Let m be j(6). What is the greatest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*(754\/3393)\/((-15)\/(-81)*3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448\/5*q - 2\/5*q**2 - 25088\/5 = 0 for q.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41271*h**2 + 102*h + 244709811?\nAnswer: 82542*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 - 101 - 220*b**4 - 2*b**3 - 77 + 177 to j*b**3 + i*b**2 + u + p*b**4 + k*b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*o - 5*r, -7*r - 7 = -2*o - 4*r. What are the prime factors of (364\/(-39))\/(o\/(-348))?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -27112.\nAnswer: -5\/27112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-7)\/j)\/j)**(-49)*j**(-12)*j*j**(-9\/2)\/j*j)**(-44) assuming j is positive.\nAnswer: j**(-18722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-276)\/69)\/(64\/3)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6660\/28 + 3 + (-3)\/(-21)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29033639 is divided by 2987.\nAnswer: 2986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 806 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiioieiirrieirpip. What is prob of sequence op?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -143, -485, -1049, -1829, -2819, -4013, -5405?\n\"Answer: o**3 - 117*o**2 + 2*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/5 + 2\/5*z**3 + 64\/5*z + 22\/5*z**2.\nAnswer: 2*(z + 2)**2*(z + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 245641.8ml?\nAnswer: 245.6418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 406? (a) -2 (b) -15 (c) 2 (d) -4 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -6)*(-2 - -2). What is the tens digit of (((-1376)\/2)\/(-2))\/(h + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcscwjscc. Give prob of picking 2 w and 1 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -62771.7 to the nearest 100.\nAnswer: -62800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:34 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1248 - 1247.999989811. Round m to seven decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 11:53 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**5\/4 - 5*w**4\/4 - 5*w**3\/2 - 5*w**2\/2 + 11*w - 2. Let x(m) be the first derivative of n(m). Factor x(k).\nAnswer: -5*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1337255215 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6719956326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.610247 decades in millennia?\nAnswer: 0.02610247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2783322948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*(0 + (-8)\/28). Let x(c) be the second derivative of 0*c**2 + 1\/3*c**4 + 1\/3*c**3 - 3\/10*c**5 + 0 + h*c. Factor x(w).\nAnswer: -2*w*(w - 1)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6638, 5002, 3366, 1730?\n\"Answer: -1636*m + 8274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1080 + 1079.8354. Let a = -0.182 - z. Round a to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512586260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13070484, -13070578, -13070734, -13070952, -13071232, -13071574, -13071978?\nAnswer: -13072444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-10))\/(4\/(-10)). Let v be (m - 115\/25)\/(-2). Put 0.5, v, 0.1, -3\/5 in descending order.\nAnswer: v, 0.5, 0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/28*(-137592)\/2268.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*h + 38*h - 9045. List the prime factors of h.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/20*930\/9. Let u(f) = f - 8. Let h be u(12). Suppose 0*r = h*r - v. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 + 488*t + 940. What is y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -207\nAnswer: 25\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 744 divide 57183888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3018*d + 777*d + 772*d + 778*d + 829*d.\nAnswer: 138*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-42) - 470\/(-14). Let m(n) = 23*n - h*n + 17*n. What are the prime factors of m(7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 - 7*v**3\/3 + 908*v**2 + 2. Suppose -2 = a + 2*y, 1 = 4*a - y - 0. Calculate k(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*z - 20 = 0, -5*j - 21*z + 23*z = -13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -624, -988, -1690, -2838?\nAnswer: -4540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k**3 + 8*k**3 - 10511*k**2 + 5257*k**2 + 5254*k**2.\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 1. Let s(m) = 2*m. Let j(w) = -3*p(w) - 2*s(w). Is j(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -136*n - 116. Let u(y) = -20*y - 19. What is -2*a(m) + 13*u(m)?\nAnswer: 12*m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81187 + 1?\nAnswer: -81186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 8 + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -86326\/39?\nAnswer: -86326\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2*4 - 0) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4219194 and 56952?\nAnswer: 50630328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 644?\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*f - 3 = 0, 3*d + d + 2 = -2*f. Suppose d*i = 2*i + 806. Is (2 - i\/(-3))*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 36537464*d + 73074912 = 0. What is d?\nAnswer: 2, 9134364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1\/2, -8, 3\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/2 + 2*n**3\/3 + n**2\/2 + 4*n + 18. Let k be a(0). Let f(o) = -o + 6. Let u be f(0). Solve k*q + 8 = u*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**23\/((r\/((r\/((r**3\/r*r)\/r))\/r*r))\/((r**(-2)\/r)\/r)) assuming r is positive.\nAnswer: r**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734518283.\nAnswer: 3, 1483, 389867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 5403062\nAnswer: 6\/2701531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*10\/(-1). Calculate the remainder when (-97)\/(-5) - 8\/s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1528319 + 770582 = -317*i + 1330025. What is the highest common factor of 74 and i?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + u. Calculate the remainder when 338 is divided by q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/3)\/k*(k\/k**(-7))\/k)\/(k**2*k)**5)**(-11) assuming k is positive.\nAnswer: k**(253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 463838059.\nAnswer: 463838062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 1, x: 3, c: 5}. Give prob of sequence xcf.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzunznnnluznnuzznua. What is prob of picking 1 a, 2 z, and 1 u?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -96867 to the nearest one thousand.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1274 - 0.2274. Let l = -5.2 - -5. What is the closest to 12\/5 in n, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 72, -3, -1, 13 in ascending order.\nAnswer: -3, -1, 2, 13, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 8*b**2 + 6*b + 2. Suppose 3*y + 26 = -2*l, 0 = l + 4*y + 25 - 2. Let z be s(l). What is the highest common factor of z and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 533 - 532.999999721. What is d rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 - -0.09. Let i = -1 - -1.1. Let l = 2341 - 2342. Which is the nearest to i? (a) l (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*p - 483*p + 4*u + 39 = 0, 3*u + 43 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3) - (-4)\/(-6). Let v be 16\/w*1\/(-2). Let s = -2.0658 + 0.0658. Which is the nearest to s? (a) -5 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2672*g**2*w**3 + 33*g**2*w + 2*g**2 + 4*g*w + 2*g - 3*w**4 wrt w?\nAnswer: 16032*g**2*w - 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -0.1 (c) 0.02496\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:18 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 130*o + 270. Calculate n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*c - r, 2*c + 4*r = 2*r + 68. Let i = c - 19. Suppose -i*v = -15*v + 40. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -34. Suppose 0 = 3*s + 2*r + 3*r - 27, -q = -s + 2*r. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 66 + 84 = 0. Let b be (-348)\/a - (-2)\/5. Let l be 4*15\/b - 3. Solve -j - 2 = 0, 2*j = l*y + j - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 4*t**2 - 5*t + 6. Let i be l(-5). Let h(s) be the third derivative of 19*s**4\/12 - 5*s**3\/6 - 3*s**2. Is h(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28487081 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27100)\/(-75))\/(-1 + (-2)\/(-6)). Let b = w - -1124. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 - 44*b + 192 = 0.\nAnswer: -48, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1772424689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851642246.\nAnswer: 2, 7, 13, 29, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 4 = 3*j. Solve -j*b = -4*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38970 rounded to the nearest one hundred?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7306 + 1)*(2 + -1 + 1). Let b = 24121 + s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n**2 - 3*n + 4. Suppose 0 = -5*w + 8 + 12. Let l be j(w). Calculate the greatest common factor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 - 75. Let n = 31.9942 - z. What is n rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(10\/(-5)*29\/290)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 0*g**2 + 3*g**2 + 7*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 626*v - 9. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*u**2 + 12*c**2*u + 2*c**2 + 118*u**2 wrt u.\nAnswer: 6*c**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/4))**46\/(w\/w**(-1))**(-47))**(-18))**(-2\/17) assuming w is positive.\nAnswer: w**(5454\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 265 = 17. Suppose 7 + f = 2*n - 3*y, -y = 4. Let z = n - -47. Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u - 2. Suppose 2*m - u = -0*m - 3*o, -m = -o + 3. Is (-14)\/(m - 15\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 37*y + 157 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 867\/455 - 27\/13. What is the third biggest value in c, 2, 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 23. Let s be c(13). Suppose -j = -d - d + s, -2*d - 4*j = -10. Solve -18 = -4*z - 0*o + 2*o, d*z - 2*o = 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 13. Let s = 15 - d. Suppose b = -c + 18, 15 = -4*b - 5*c + 85. Solve -2*h - b = -s*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00895 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -4\/1452127?\nAnswer: -4\/1452127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(0 + sqrt(3) + sqrt(3)) - sqrt(3))*-1.\nAnswer: -7*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let v(z) be the first derivative of -1869*z**2\/2 + 1640. Calculate f(v(y)).\nAnswer: -3493161*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -527598.7?\nAnswer: -2637993.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let f be 1 - -32 - (-1 - -2). Let l(h) = 2*h**2 - 14*h + f*h - 23*h. Let j(v) = v**2 + v. Let u(r) = -5*j(r) - l(r). Give s(u(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1*-18.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -314*o**5*u - 14569*o**3*u - 312441*o**2 - 128*u wrt o.\nAnswer: -18840*o**2*u - 87414*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2948039 = 2948039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 224325, 897197, 2018437, 3587871, 5605325?\n\"Answer: -29*g**3 + 224358*g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**3 - 1. Give g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37985 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 - 11*g + 1. Let x be (16\/3)\/(2\/(-3)). Calculate z(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63622*j*l**2 - 10*l**2 + l + 468 wrt j.\nAnswer: -63622*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**3 - 140*r**2 - 48*r + 103. Give v(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 + 2*l + 2. Let o be d(-1). Solve -4*h - 26 = -2*z, 3*z - 3*h = o*z + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 816797.\nAnswer: 816796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-2)))**(-19)*(h**(2\/5))**(-11) assuming h is positive.\nAnswer: h**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**14\/i*i\/(((((i\/i**17)\/i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-2)\/(4 + -2). Let i be 18\/1 + 0\/3. Solve t*l + i - 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92525290 divided by 89.\nAnswer: 1039610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162 + 167. Let h = -231 + 226. Suppose -2*p + 4 = -j, 3*j = 7*j + 16. Which is the fourth smallest value? (a) k (b) h (c) p (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/15 + 81*y**5\/10 + 6721*y**4\/24 + 540*y**3 + 400*y**2 - 1146*y. Let x(k) = 0. What is k?\nAnswer: -40, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*m**4 - 1175*m**3 + 9906.\nAnswer: 36*m**3 - 3525*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 43*a + 32144 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 10174*i\/3 - 25877569\/3.\nAnswer: -(i + 5087)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673 - 8733*l - 673.\nAnswer: -8733*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*d*h**2 - 2*c*d*h - 4*c*d - 2*d*h**2 - 2*d - 31*h - 6 with respect to h.\nAnswer: -8*c*d*h - 2*c*d - 4*d*h - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/d*d**3*(d**(-1\/2))**27 assuming d is positive.\nAnswer: d**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 42630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-2)\/(-570)). Suppose 0 = -5*k - 2*f + w, 0 = 3*k - k - 5*f - 9. Which is greater: k or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1960\/(-1050) - 3\/(-1). Let t(a) be the second derivative of 0*a**5 - 9*a**2 + a - q*a**6 + 0*a**4 + 0 + 0*a**3. Differentiate t(s) with respect to s.\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5146)\/(-117) - (-810)\/(-90)) + -35?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1 - y**4 + 55*y + y**2 + y**3 - 55*y. Let m(a) = 6*a**4 - 3*a**3 - 3*a**2 + 1. Let l(c) = -m(c) - 3*r(c). What is the derivative of l(t) wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 2.59?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/4 - (6\/(-24))\/(1\/31). Let t = 2.3 + -0.3. What is the nearest to t in w, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2676 and 11102278.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(sqrt(425) + (((sqrt(425) - (0 + sqrt(425))) + sqrt(425))*-5)**2 + (-1 + -2*sqrt(425))**2).\nAnswer: 375*sqrt(17) + 184890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -314?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/21190, 0.05 in descending order.\nAnswer: 0.2, 0.05, -1\/21190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*p = 445*p - 4*h - 28, 0 = -4*h - 20 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h. Let i be h\/((8\/4)\/(-1)). Solve i = -3*b - 5 - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/4 + 2*h. Let i(k) be the third derivative of 0*k + 61*k**2 + 0*k**4 + 0*k**3 + 0 - 1\/15*k**5. What is o(i(c))?\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12845918*m**6 + 10149141*m**2?\nAnswer: 1541510160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244708, -489005, -732864, -976279, -1219244, -1461753, -1703800, -1945379?\nAnswer: -2186484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 185.6. Which is the closest to -1? (a) 0.11 (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(-4)*t))**37*t**(-3\/16)*t*t\/t**(-17) assuming t is positive.\nAnswer: t**(3261\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (-7 + 17 + (0 - 14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:20 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15712955*0.2.\nAnswer: 3142591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) -4\/7 (b) -3 (c) 7 (d) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*l**2 + 99*l**2 - 13*l**3 - 168*l**2.\nAnswer: -13*l**3 - 439*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 40*y + 10. Let a(h) = -8*h - 2. Give 16*a(o) + 3*q(o).\nAnswer: -8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/6*i + 1\/3*i**2 - 1\/6*i**3 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 10339 - 13*v - 7*v + 10339 - 14*v.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 99436 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78204.01 litres to millilitres.\nAnswer: 78204010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p - 63*p**2 + 0 - 4 - 2*p. Let x = -21 - -29. Let c be r(x). What is c rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3*-2)\/((-54)\/1368)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -4325\/8022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**4\/24 - q**3\/2 - 3*q**2. Suppose -2*y + 24 = 6. Let p be r(y). Solve 2*s + 4 = p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170021 or 170005?\nAnswer: 170021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s - 38. What is the remainder when 71 is divided by f(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215 + z + 201 + 2*z + 2*z**2 to p + k*z**2 + a*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + o**4 - 3*o**4 + (-4*o**2 + 0*o**2 + 2*o**2)*(5*o - 5*o - 2*o**2) + 17*o**4 + 86 - 86.\nAnswer: 23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h\/(h\/(h*h**(-4\/9)\/h))*h*(h\/(h*h\/(h*h**(-3)))*h)\/(h\/(h\/(h*(h**10*h)\/h))))**(-5\/2) assuming h is positive.\nAnswer: h**(271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 302555270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -229.5 * 560714\nAnswer: -128683863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 662\/30 + (-30)\/(410 - -40)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/72852 and 27\/12142?\nAnswer: 72852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**3 + b - 2. What is m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -12, -59, -132, -231?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-6) - (-4)\/(-6). Suppose 2*k = -i + 6 + 10, 4*k - 56 = -4*i. Suppose -3*m - 2*m + w = -i, w + l = m. Solve m*j + 2 + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000184315 rounded to seven dps?\nAnswer: -0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19620 - -6592307\/336. What is the common denominator of 133\/318 and i?\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (1 - 3 - 14). Let y = 6 + b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50422*f**4 + 759*f**3 - 2435*f - 1849?\nAnswer: -605064*f**2 + 4554*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-102)\/4 + -2). Let t = c - -57. Is t\/6 + 1\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293179199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 24 = 3*o. Let c = o - -29. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(385))\/sqrt(11) - sqrt(35)) + sqrt(280)\/(sqrt(8) + sqrt(8)*2 + sqrt(8)))\/(sqrt(50)\/(sqrt(10) + sqrt(160))*2))**2.\nAnswer: 175\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.023 - 2.323. Let t = -2.4 - x. Is 2\/3 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2230)\/1784)\/((-16)\/(-1024))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1470815998 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -9 - 3) + 2 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from xaxraaarxrxa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12924 - 0.3\nAnswer: -12924.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1199*j**2 + 5*j - 16. Suppose 5*o = 8*o. Suppose 4*b - 14 = 2*c - 50, o = 4*b - c + 32. Let n be h(b). What is n rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5059881\/98 - 51631. Suppose -3*q + 4*c - 27 = -0*c, 0 = -5*q - 4*c - 77. Calculate the common denominator of o and 6 + -2 + q\/91.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2673509\/3992676 + -8\/32199. Calculate the common denominator of x and 23\/18.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68347556 a multiple of 3236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*b + 10 = 0, -4*h = -b + 4*b + 66 - 31 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2 (c) 1\/8 (d) 0.027 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.20077 rounded to 2 decimal places?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12*i + 0 - 2 - 6 - 2. What is the tens digit of o(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50958 in -3, -31\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 19 = -5*w - d, 3*d + 23 = 5*w. Let j be 0\/(w - 4 - 0\/(-2)). Solve 2*z - 1 = -4*h + h, -h + 4*z + 5 = j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7314*r**2 + 276*r + 276. Let m(b) = 133*b**2 + 5*b + 5. Calculate 5*a(v) - 276*m(v).\nAnswer: -138*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*n**3 - 2478*a**3*n + 4*a*n**3 - 7*a*n + 2*a + 9*n**2 wrt a.\nAnswer: 6*a*n**3 - 14868*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 867756 and 5784?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 5*l + 84 = -9*o, 3*l = 4*o - 112. Sort 2, -4, 4, o.\nAnswer: -4, 2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbrd when four letters picked without replacement from {v: 8, r: 5, d: 4, b: 1}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 213313322 (base 5) to base 8\nAnswer: 3376350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136.6 times 0.79\nAnswer: 107.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 198091044 to the power of 1\/2, to the nearest integer?\nAnswer: 14074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, f: 1, h: 1, x: 1, n: 3}. Give prob of picking 2 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y**2 - 130\/3*y**3 + 66 + 0*y**5 - 33*y**7 + 0*y**6 + 0*y**4 + 0*y. Find the third derivative of l(i) wrt i.\nAnswer: -27720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/99*1236\/(-1030)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/675 and -43\/3472045.\nAnswer: 468726075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 217331.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*m = 35, p + 4*m + 14 + 1 = 0. Suppose -p*y + 59 = -26. Suppose 70 = t + u, -2*t + 148 = 5*u - u. What is the remainder when t is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 2*u + 3*u + (4 - 2 + 0)*(4*u - 2*u - u) + u - 2*u + 0*u + 14*u - 5*u + 5*u + (-1 - u + 1)*(3 + 0 - 5) to g*u + i and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-162)\/(-30) - (-1604)\/10. Let f = m - -67. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = f + 211, 5*y - f - f = 353. Suppose c = -4*m + y, 0*m - c - 11 = -m. Solve -3*b + 4*r = m, -6*r = 3*b - 2*r - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*o - 20. Let k = 5 - 0. Suppose -k*j = 5, -3*g = -4*j - 6 - 4. What is the closest to o in 0.5, -1\/2, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/20 - 89*x**4\/12 + 181*x**3\/6 - 91*x**2\/2 + 611*x. Let h(t) = 0. What is t?\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 53*g - 30*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107216 and 246.\nAnswer: 13187568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 919 + -915. What is the third derivative of -2923*c**2 + 1492*c**2 - 3*c**6 + 1595*c**2 - c**n wrt c?\nAnswer: -360*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 divided by 6?\nAnswer: -235\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3951 (b) -0.5 (c) 3\/2 (d) -4\/9 (e) -6 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1011001000 (base 2) to base 5\nAnswer: 10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5902029791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14237551, -28475096, -42712641, -56950186, -71187731, -85425276?\nAnswer: -99662821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = t - 5*t + 196, 0 = 2*t - 5*g - 80. Let k be 10\/(-18)*-5*(-4)\/t. Sort k, 2, -3, -0.2 in decreasing order.\nAnswer: 2, -0.2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 0.2 (b) 5\/233 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584)*-1)**2 + (-1*sqrt(77)*-6)\/sqrt(7).\nAnswer: 54*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 43*i**3\/6 - 17*i**2 + 90*i. What are the prime factors of c(3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*60.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/(15\/(-3000)*-30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(-6 + 2*j**2 + 33*j - 33*j).\nAnswer: -2*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 + 0 + (3 - 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*r**2 + 1280*r**2 - 388*r**2 - 401*r**2.\nAnswer: 86*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 455 - 91, -5*c + 0*w - 170 - 136 = -5*w - 46 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.895995 milligrams?\nAnswer: 0.003895995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 111 = 34*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1056767 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + -122. What is the remainder when r is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*w - 5*t, -4*t = -5*w - t + 25. Let h(i) = 4*i + 14. Let j be h(w). Suppose 4*a - 74 = j. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 18, 27, 34, 39?\n\"Answer: -q**2 + 14*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800 = -41*r - 59*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 6, -3, -2779.\nAnswer: -2779, -4, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9)*p)\/(((p*p**(-6\/19))\/p*p*p)\/p))\/(p**33*p**(-20\/3)))**34 assuming p is positive.\nAnswer: p**(-67864\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24230.9205392 + -24231. Let g = -1.9205408 + m. Let k = -2 - g. Round k to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 36 = -10*d. Let q = -5 - -4. Sort q, -2, 4, d in increasing order.\nAnswer: -2, q, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/11)*a*a*a**3)\/(a\/(a\/a**0)*a*a)**45)**27)**(-2\/23) assuming a is positive.\nAnswer: a**(50598\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 107, -0.0154 in decreasing order.\nAnswer: 107, -0.0154, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*p*x**3 + 8*f*p*x**2 - 310*f*x**3 + 61*f + 2*p*x - 2*x wrt x.\nAnswer: 18*f*p - 1860*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25212, -98734, -221302, -392922, -613600?\nAnswer: -883342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 73.\nAnswer: -26\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/4*r**4 + 4 + 1\/6*r**3 + r**2 - r. What is w(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2*d**2 - d + 9. Let z be p(-3). Suppose 2*g + z*r = 1070, -8*r + 7*r = 2*g - 1078. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*u**4 + 7974*u**2 - 2153 + 7987*u**2 - 16365*u**2 with respect to u.\nAnswer: -20*u**3 - 808*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13336 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/110)\/((-7)\/(-77)). Let z(d) = d**2 + 14*d - 3. Let v be z(-14). What is the third biggest value in 1\/7, v, -7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10869?\nAnswer: 3, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -8679?\nAnswer: -8679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 10 - (0 + (-7 - -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 24*s**2 - 112*s + 1. Let d be p(28). Let m be d\/(-5) - 1 - (-48 + 46). What is z in 0 - 6\/5*z**3 + m*z**2 + 2\/5*z**4 + 0*z = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -75, 0.144, 0, 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + 3*sqrt(1100) - (sqrt(1100) + 0 + sqrt(1100) + -2 + sqrt(1100)))*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/651 + -421\/651. Which is the nearest to -3? (a) -0.3 (b) -0.09 (c) 1\/2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**26*(y**(-2\/7))**(2\/51))\/(y*y*y**(4\/5)*y*y**3*(y**(-2\/7))**(-47)) assuming y is positive.\nAnswer: y**(-36128\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22608358.38 rounded to the nearest ten thousand?\nAnswer: -22610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 16*q - 30. Calculate the remainder when 78 is divided by (4 - (-235)\/q) + 1\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, -5, 26, 1\/2 in ascending order.\nAnswer: -238, -5, 1\/2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 169 + -190 + (8 + 3 - 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (14 - -15)) + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 341373, 341383, 341399, 341421, 341449?\n\"Answer: 3*r**2 + r + 341369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:44 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 1, z: 2, v: 2, a: 1, c: 1}. Give prob of picking 1 a, 1 l, and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88416364, -88416361, -88416358?\n\"Answer: 3*m - 88416367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-11)\/5)\/(-1). Let p be 1 + 86\/(-30) + 2. What is the second smallest value in p, f, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((9\/1)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/6 + 600*c**2 + 3*c. Let y be u(0). What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-237)\/(-132)*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -152\/775 in -4, -2, -0.2201?\nAnswer: -0.2201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2290.062ml?\nAnswer: 2.290062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 5. Let q(s) = -1. Let v(c) = -4*q(c) - r(c). Let k be v(6). Let m = -8 - k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5488 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -1.5924, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/10*1040\/(0 - -8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/63)\/a**(-1\/12))\/((a\/(a*a*a**(15\/7)))\/(a\/a**(-35))) assuming a is positive.\nAnswer: a**(1411\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -11*z + 951. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 22. Suppose -7*m = 2656 - 2775. What is the remainder when m is divided by 1\/(((-14)\/(-12))\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b, -3*k - 18*b + 16*b = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3451878, 3451845, 3451812, 3451779, 3451746, 3451713?\nAnswer: 3451680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 2491*x**2 - 2611*x + 1394521. Determine o(-1244).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-51)\/(-9))*(-42)\/(-70)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, m: 1, s: 3, h: 3}. Give prob of picking 2 h and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -a - 3*l, 2*a = -0*a + 4*l + 22. Suppose 8 = a*d - 13*d. Suppose -165 = -d*t + 133. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197.1464 * 0.11\nAnswer: 21.686104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(1 - x**2 - 1)*(4*x - 2*x + 0*x - 4 + 4 + 2*x + 2 + x - 2 + 4 - 4 + x + 2*x + 4*x - 5*x + (2 - 2 - x)*(2 - 4 + 1) + x + 1 - 1).\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71102, 71122, 71140, 71156, 71170, 71182?\nAnswer: 71192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1140037 - -1625304. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -27, -3, -9, -235 in decreasing order.\nAnswer: 47, -3, -9, -27, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 6*z + 9. Let n be i(-4). Let b = 19 - n. Suppose -3*t = -3*v - 15, -5*t + 4*v + 21 = 1. Solve -b*q + 9 - 1 = t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069796819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 1 = -5*x - 4*r, 4*x - 35*r + 66 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4449*g + 4125*g = 4536 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 2, j: 1}. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:03 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -733057 greater than -12461967\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2611a (base 14) in base 4?\nAnswer: -112311030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 139223.\nAnswer: 2506014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 2*a, 9*p - 14 = 5*p - 2*a. Let v(r) = -4*r**3 - 3*r**2 + 2*r + 1. Let o(h) = 0*h - h**2 + 0*h**2 - h**3 + 0*h + h. Determine p*o(c) - v(c).\nAnswer: c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2273 = 831*v - 31798 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437418 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0.087\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16905821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.25, -1, 95, 0.1 in increasing order.\nAnswer: -4, -1, -0.25, 0.1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 96 = -144. Suppose 0 = 3*n - 11 + 2. Solve -n*t + l = s, 5*s + 0*s = -t + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkh when three letters picked without replacement from {h: 1, k: 4, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19 + 21)*(-55)\/(-2). Suppose 0 = 5*w - 3*b + q - 281, -3*b + 197 = 4*w. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 814 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*g + 1806 = -340*g. What are the prime factors of g?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*k + 33*k + 54*k)*(k**2 + 2*k**2 - 2*k**2 + (4 - 6*k - 4)*(4*k - 2*k + 0*k) + 0*k**2 - k**2 + 3*k**2).\nAnswer: -603*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -0.03236?\nAnswer: -0.13236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n + 0*n + (1 - 1 - 1)*(n + n - 3*n))*(14894 - 14895 - 32*n**2 - 36*n**2).\nAnswer: -272*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 + 1645164*c**3 + 1645168*c**2 = 0. Calculate c.\nAnswer: -1, 0, 411292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 3*m**2 - 3*m + 2. Let c be b(1). What is the units digit of -764*c*((-147)\/(-28) - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 22 + 4*h - 5*h + 0*h - 18. Let l = 1 - -2. Let c be l + (-1 - 0) + 3. What is i(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*-2*(-33)\/12. Calculate the highest common divisor of 33 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5471 is divided by 918?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = 17*d - 13*d, l + 10 = 4*d. Solve -9 = d*p, j - 3*j = -3*p - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131665 and 28730?\nAnswer: 44502770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9236299*w - 581*w**2 + 560*w**2 - 9236299*w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m + 1. Let r be z(-2). Suppose 5*t - 12 = r*t - 3*a, 0 = -t + a + 16. What is the remainder when 23 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -28, 5*l = 5*m + 15. Solve m*z + 12 = 0, -12*n + 7*n = 3*z + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22945574 a multiple of 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -562403 (base 7) to base 10\nAnswer: -99326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1646*k**3 - 26 + 2*k - 10*k**2 - 3 - 1647*k**3 - 2*k**2 - 3*k**2 as w*k**3 + g*k**2 + d*k + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + 1753317*g**3 - 30617368*g**2 wrt g?\nAnswer: -24*g + 10519902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005317423 to six dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((105\/20)\/(-7)). Suppose 195 = u*n - 3*n. Let w = 66 + -45. Calculate the remainder when n is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-6 - 2)*((-315)\/14)\/(1320\/160)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 181*p**2 - 440*p + 75. What is r(-88)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**2 + 2*g**2 - 19*g**2 - 29*g**2 - 537 - 3*g**3 + 6*g**3 wrt g.\nAnswer: 9*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 20*h**2 - 20*h - 12. Let b be i(-19). Suppose 2*g = b*g - 60. Find the third derivative of 26*w**2 - 11*w**2 - g*w**5 + 24*w**5 wrt w.\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*g + 199*g + 3*j = 5, 5*g - 2*j + 10 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16110 or 16108?\nAnswer: 16110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**6\/120 + v**5\/15 - v**4\/24 + v**3\/3 + v**2 - 2. Let u(d) be the second derivative of k(d). Does 5 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2 = 0, -10*m = -13*m + f - 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/405 and 1\/540.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 4.74?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 28. Let s be q(-17). Let d be 85\/s + 10\/(-60). Solve 8 = -2*u + t, -2*t = -u + t - d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 + -3.139. Let f = 0.791 - g. Round f to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 103?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8*n. Suppose 0*w + 3*w = n. Let a(y) = 25*y**2 + y - 1. Let h be a(1). Solve w = -4*g + 5*x + h, -g + 10 = 4*g - 2*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/24*10)\/(1\/2). Let x be (12\/(-5))\/((-8)\/(-24)). Let k = 746\/105 + x. What is the closest to -0.1 in k, g, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*h + 4, -7*t - 3 = -5*t - 3*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/62*(81 + -85). Which is greater: 12 or n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(450) + -2*sqrt(450) - sqrt(450)) - -1*sqrt(162))\/(sqrt(540)\/sqrt(10) + sqrt(12)\/sqrt(2)*-4)*6.\nAnswer: -84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -66, -160, -292, -462, -670?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 61011 (base 8) to base 4\nAnswer: 12020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.399\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*y - 74*y - 21*y.\nAnswer: 59*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 25 = 3*n + 5*f, 5*n + 4*f = 23. Let i be (-12)\/n + 1 + 91. Let d be (-2)\/(-5) - (-106)\/10. Calculate the greatest common divisor of d and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27016 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/22 - -9\/110. Let k(p) = -10*p**2 - 63*p - 11. Let q be k(-6). Is q greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1572739, 1572387, 1572035, 1571683, 1571331, 1570979?\n\"Answer: -352*g + 1573091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -62\/95?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 158*y. Let m(j) be the first derivative of -4*j**3\/3 - 425. Calculate m(p(s)).\nAnswer: -99856*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9814082?\nAnswer: 2, 4907041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519 and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 14, -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 5*g**2 - 7*g - 6. Let h be (-24)\/(-9)*(-18)\/8. Let s be u(h). Find x such that 2\/7*x + s - 2\/7*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -21*s + 462. Let p(v) = -4*v - 5. Let t be p(-2). Suppose -t*d + 7*d - s = 0. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19062 is divided by 4457?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o. Let y(l) = -353157*l. What is y(p(w))?\nAnswer: -706314*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 4, 9, 1, 6, 5 in descending order.\nAnswer: 58, 9, 6, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50736*j**3 - 3196*j**2 + 1.\nAnswer: 304416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23634 by -1.\nAnswer: 23634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-270)\/20*4\/(-6). Let x be (((-15)\/q)\/1 - -4)*222. Calculate the remainder when x\/6 - ((-10)\/6 - -2) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.190475 to 3 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9759520 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-191.\nAnswer: -305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/3, -873?\nAnswer: -873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -332*t**3*u**3 + 13*t**3*u**2 + t**3*u + 2*t*u wrt u.\nAnswer: -1992*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*1746891.\nAnswer: -192158.01","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1362, -2794, -6938, -11064, -15166, -19238, -23274, -27268?\n\"Answer: f**3 - 4163*f + 5524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27*-62.2.\nAnswer: 16.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/6 - 261*r\/2 = 0 for r.\nAnswer: 0, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*l = 13, 345*l - 347*l = 5*f - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1888591 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + 12?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150210 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 17. Suppose -h - 4*b = -19, 2*b = h - 30 + 29. What is v(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60 - 4?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2346669 divided by -4\nAnswer: -2346669\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q - 15, -3674 = -5*r + 3*q. List the prime factors of r.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + 2 + 4*sqrt(243)*-1 + (-5 + -1 + sqrt(243) + sqrt(243) - sqrt(243) - sqrt(243))*3)**2.\nAnswer: 864*sqrt(3) + 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1265, -2\/17?\nAnswer: -1265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9609 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.1, 1\/4, 2\/31, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/(-3)*2\/(36\/351).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.068 - -0.168. Sort -2, z, 2.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r - 2*r + 5*r)*(-2*r + 0*r + r) - 2*r + 2*r**2 + 2*r)*(3*r**2 - 56*r**3 + 36*r**3 + 29*r**3).\nAnswer: 27*r**5 + 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(3\/4)*k*(k*(k**1\/k)\/k*k)\/k*k**(2\/21) assuming k is positive.\nAnswer: k**(29\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*o + 7378, 39*o - 40*o = -3*n + 11050. Does 80 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189720.3 years in centuries?\nAnswer: 1897.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*k - 3*n, -13 = -4*k + 2*n - 43. Let s be (250\/(-8))\/((-1265)\/k). Let p = -3\/46 - s. Which is smaller: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 834, 812, 786, 756, 722?\n\"Answer: -2*b**2 - 16*b + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2724142625 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5))**2)**(1\/59)\/(((m\/(m**(-1\/2)\/m))\/m)**(-8))**(-21) assuming m is positive.\nAnswer: m**(-74336\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/59 (b) 184 (c) 0.1 (d) 1\/3 (e) 2\/17 (f) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2)*-1 + -1 - (sqrt(2) + 1)*1)*-3.\nAnswer: 6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:12 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c - 48 = 0. Calculate the remainder when 57 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53856 divided by 51.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142088 is divided by 47362.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27799 - 0.072666?\nAnswer: 27798.927334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 89 = -5*i, -3*i - 7*y + 2*y = -61. Let s be i - 0\/(-1) - 1. Suppose 0 = -3*z - 4 + s. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1096 in 2, 1\/13, -0.2, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 275 + -273. Calculate the common denominator of -8\/79 and (-104)\/(-14)*g\/8.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 39 + 19 = 0. Find y such that 4*y**3 + y**g + 101*y**2 - 100*y**2 + 2*y - y**4 - 7*y**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404 = 52*f + 104*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 2 + sqrt(3) + sqrt(3) + -4 + sqrt(3)*-4 + -1 - (-1*(sqrt(3) + -1 + sqrt(3)) - sqrt(189)\/sqrt(7)))*-4)**2.\nAnswer: -512*sqrt(3) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 26 = -10*x, -24 = 3*x - 3*m - 0*m. Sort x, 1, -12 in decreasing order.\nAnswer: 1, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let w(p) be the second derivative of 25*p**4\/12 - 5*p. What is w(y(h))?\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/6, 1\/8, 3, -45 in increasing order.\nAnswer: -45, -5\/6, 1\/8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 223207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from jbuqnuuqjbun.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n + 10. Let w be t(-3). Let g = 1432 - 4360\/3. What is the common denominator of (39\/2 - w)*2\/(-10) and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z**3 - 2*z**2 + 3*z - 5. Calculate a(2).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012553 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-2)\/(-8)). Let n be 1*1\/(f\/(-20)). Suppose 0 = -17*m + 34*m - 170. Is n greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 2*m = 5*j - 10, -3*m = 4*j + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282600143.\nAnswer: 7, 47, 79, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 14. Let v(n) be the first derivative of n**2\/2 - 5*n + 1. Let w(i) = 4*b(i) + 11*v(i). Find the first derivative of w(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 44 + 29 = 104 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-9)\/3 + (229 - 208)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/10)\/(14\/105). Let i be 44\/j - (-2)\/6. Find the second derivative of -2*h**4 - i*h + 2*h**4 - 4*h**4 wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20576*u + 139320 = 19028*u for u.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136180492?\nAnswer: 2, 7, 4863589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + a**2 - a. Let u = 101 + -99. Calculate t(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + 17 - ((-21 - -14) + 54 - 26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**2 - 4*k**2 + 13*k**2 - 2)*(-k**2 + k**2 - 23*k**3).\nAnswer: 23*k**5 + 46*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/280 + (-4)\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(539)*-5).\nAnswer: -sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9711 and 992680?\nAnswer: 8934120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 714.\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m - 43511 = -87142 + 43543 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by -2756.\nAnswer: 189\/1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 0*g - 2*g - 3*g**3 + (-2*g**3 + 3*g**3 + 0*g**3)*(-1 - 1 + 0) + g**3 - 3*g**3 + g**3 to the form c + r*g**3 + u*g + a*g**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3)*3)**2 - sqrt(3)) + -3 + sqrt(12).\nAnswer: sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -4. Let b(l) = h*l**2 - l**2 + 14*l**2 + 5*l**2. Let x(n) be the third derivative of -n**5\/60 - 14*n**2. Calculate x(b(p)).\nAnswer: -400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 2*s)*(-s**2 - 4*s**2 - 2*s**2) + 6*s**3 + 215*s - 215*s - 4*s**3 + 5*s**3 + 13*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 147?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 divided by -580?\nAnswer: -297\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232618 by -214.\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 36 = -228. Let n be (y\/6 - 2)*39. Let v = -57 + n. Solve -3*j + 12 = 3*q, -2*j + 0*q + v = -4*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*p - 2*i = 457*p + 1, -4*p + 2*i = -10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/148076 and 75\/212?\nAnswer: 7848028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let p = -15962 - -15962.1. Sort d, -3, p, -5.\nAnswer: -5, -3, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1724 by -4.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(7))**2 + 2 + -5 + 4*(sqrt(847) + -2)**2)*-2.\nAnswer: -6858 + 352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 22*b**2 - 5. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536410360 to the power of 1\/2, to the nearest integer?\nAnswer: 39197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 + 3)*((3*p + 1 - 1)*(-2*p + 0*p + 3*p) - 3*p + 3*p + p**2).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 - 3 - 193*v - 3*v**2 - 12*v**3 + v**2 + 183*v to t*v + g*v**2 + j + q*v**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 36 + 3. Let i = -8 + q. Let g = i - 19. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (3*(-3*-3*sqrt(130) - sqrt(130)))\/(-5*(sqrt(160)*-2 - sqrt(160)) - sqrt(160) - sqrt(160)))**2*-4.\nAnswer: -612\/13 + 144*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(-4 + ((sqrt(80) - sqrt(80)*1)*1 + 3)**2) + -5 + -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 0*b**3 - b**3)*(1380706*b - 18191*b**2 - 1380706*b).\nAnswer: 18191*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-210)*14)\/((-13)\/(-1404)*24\/20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 4, l: 7, r: 2, a: 2}. Give prob of sequence ll.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 219? (a) 4 (b) -3\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(42) - (sqrt(168) + sqrt(168)*1)))\/(sqrt(66)\/(sqrt(11) + sqrt(11)*1 + sqrt(11))))**2*2.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132155 (base 8) to base 10.\nAnswer: 308333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30618 and 379098.\nAnswer: 644845698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -3*g + 97, 3*g - 98 = 2*k. Let s(d) = -7*d + 279. Let b be s(33). What is the greatest common divisor of g and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 0 - (-2 + (5 - -1)). Let s(q) be the second derivative of 0*q**2 + 1\/10*q**5 + 1\/3*q**4 + 0 + 1\/3*q**r - 2*q. Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/434)\/(1\/301).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 67509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44396678 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15.4 in 3, 2\/429, -6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3 = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187834 is divided by 11048.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642548 divided by 142?\nAnswer: 32694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 651491098 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328721.3 centuries in years?\nAnswer: 32872130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:34 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4 + 0 - 11\/4*o**3 + 0*o + 1\/4*o**5 - 3\/2*o**2 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130018 to 5 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 1\/6, 148 in decreasing order.\nAnswer: 148, 1\/6, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y - 118 = 197 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33800, -67605, -101412, -135221, -169032, -202845?\nAnswer: -236660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1762.20014632 - 1762.2. Round l to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2248 and 21\/22?\nAnswer: 24728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*(-43)\/(-903)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.35 * 31.2.\nAnswer: -135.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22872 - 20?\nAnswer: 22852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.14, -15, 1\/7, 1.6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 5*s - 814. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*p = -102, 0 = 3*y - 5*p + p - 151. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = w + 29, -2 = w - 1. Calculate the remainder when (-27)\/6*(-3300)\/135 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0142+-1871258\nAnswer: -1871257.9858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 6*q + 4. Let d be z(-6). Suppose -6*y - d*v + 120 = -2*y, -4*y + 122 = 3*v. Let p = 3 + y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 11) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 32. Let s be t(7). Let y be (-4)\/3 + 416\/s. Solve -3*m = w - 8, -6*w - y = -4*m - 2*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10208?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + f6e?\nAnswer: f72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1. Let l(k) = -27*k - 13. Let f(i) = 76*i + 37. Let w(y) = 6*f(y) + 17*l(y). Give -5*q(a) - w(a).\nAnswer: 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 + 18015*r**4 + 412824*r**3 + 394812*r**2 = 0.\nAnswer: -5982, -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117194 * 0.1.\nAnswer: -11719.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -11)\/(51 - (-46550)\/(-912)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2316 - 1161. Calculate the lowest common multiple of u and 45.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**2 + 2*q. Suppose -249 + 269 = -10*p. Let i(d) = 7*d**2 - 3*d. Suppose -y + 27 = -6*y + 3*z, 2*z - 8 = 0. Calculate p*i(v) + y*l(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i**3 + 14*i**3 + 76*i**3)*(-2*i + 0*i + 0*i).\nAnswer: -156*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*f - 3*v + 78, -14 = -v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2358991549 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from quppuuuuppupup?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.65 (b) -0.15 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -210430 or 1.971?\nAnswer: 1.971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -338.000000046 - -338. What is p rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-516)\/(-6) + (-3 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.9 - -59.6. Let t(n) = 0*n**2 + 1 + 2*n + 5*n**2 - 6*n**2. Let u be t(0). Which is the nearest to 2\/7? (a) m (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1659304627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljssjjlslunnxjljsn. Give prob of sequence lusl.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-297)*((-8)\/30)\/(26\/(-195)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2603*u**2 + 2603*u**2 - 41*u**4 + 0*u**4 + 2*u**4 + 0*u**4 - u + 2*u**4 + u + (1 - 1 + 3)*(0*u**4 - 4*u**4 + 2*u**4).\nAnswer: -43*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4056\/(-27))\/(-26) + -6. Which is the fourth smallest value? (a) -4\/3 (b) 3\/8 (c) 0 (d) p (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1052.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 79*q**2 + 645*q + 565. Determine p(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Let x = -127 - -74. Let m = x - -52.7. What is the third biggest value in t, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 500 * -96309\nAnswer: -48154500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from kookkookgko?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*60\/(-40).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 656100*t**2 - 42375960*t + 684240964 = 0?\nAnswer: 13079\/405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 + 7*m**2 - 3*m + 4. Let i(f) = -17*f**3 - 28*f**2 + 11*f - 17. Let x(w) = 2*i(w) + 9*t(w). Let n be x(-4). Solve g - n = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -176068250318 and -35.29.\nAnswer: -176068250353.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1410\/50*(-1)\/4 - (-20)\/16\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 11*g - 49 - 12*g + 20. List the prime factors of m(-6).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from mmuuuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 41*l. Let c(k) = -2*k**2 + 3*k. Let d(n) = -5*n**2 + 7*n. Let a(q) = 14*c(q) - 6*d(q). Calculate m(a(t)).\nAnswer: 8*t**4 + 82*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2146 (base 12) to base 11.\nAnswer: -2822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-24) + (-6)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 - 1) - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 11*c**2 + 17*c + 1. What is u(12)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -128\/75 (b) -0.103 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 - 36\/5*m**5 + 5*m**2 - 16\/15*m**6 + 12*m**3 + 47\/6*m**4 - 9*m. Suppose y(o) = 0. What is o?\nAnswer: -5, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + c?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/17185, -5, -0.6, -3, 2, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -32.8?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, j: 2, y: 2, g: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssccs. Give prob of sequence sss.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*i + 6 + 11, 0 = 3*j + 2*i - 13. Suppose d = j*d - 36. Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(4\/60). Suppose s = u*s - 40. Suppose -8*a - 2 = -s*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giiagrrrrirgragrgrg. Give prob of sequence rrgr.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -25*p + 79. Let d be c(3). Solve 5*f + 16 = -d*y, f + 3*y + 12 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86 + 1e2b?\nAnswer: 1da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/11, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8201458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 277844409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1)\/(18\/24). Let i(f) be the second derivative of f**3\/6 + f**2\/2 - 2*f. What is the units digit of i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2595*p**3 - 95*p**2 + 264*p + 4. List the prime factors of d(3).\nAnswer: 2, 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-496 - -485) + 617\/56. Which is the smallest value? (a) u (b) 1\/8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggwggggggggg. What is prob of sequence ggg?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 2 + 6*b - 5*b + 1. Suppose 0 = -47*c + 45*c + 12, 3*f - c = 9. Determine i(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14757897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4*21\/(-112))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = -1. Let q = 3 - d. Let b = -79 + 85. Sort 1, b, q.\nAnswer: q, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 153*b**2. Let c(i) be the third derivative of 11*i**4\/12 + 1882*i**2. Calculate j(c(n)).\nAnswer: 74052*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -67. Let g(q) = -q - 2. Let o be g(u). Solve 20 = l - 5*l - 2*d, -l + d + o = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 41032*g + 841812512.\nAnswer: (g - 41032)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1487682840 to the nearest 100000.\nAnswer: -1487700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5963639 - -1.4?\nAnswer: 0.8036361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = i - 0*i, -2*w - 2*i - 2 = 0. Find the third derivative of 9*q**4 - 2*q**2 - 11*q**w + 0*q**2 wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**2 + 2*l + 40. Let o(u) = 18*u**2 - 5*u - 80. Determine -5*i(f) - 2*o(f).\nAnswer: 9*f**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149302811.\nAnswer: 7, 79, 269987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 90 = 5*d. Suppose 8 = 2*s, d = 6*i - 3*i + 3*s. Suppose 7 = i*p - 5. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 11 = 3*v, -v + 8 = f + 3*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*p - 603, 0*g + 3*g - 400 = -2*p. Let y(d) = d**3 + 7*d**2 - 450*d + 34. Calculate the remainder when p is divided by y(18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3*d**5\/5 + 20*d**3\/3 + 331*d**2\/2 + 378. Find the second derivative of v(n) wrt n.\nAnswer: -36*n**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 3*m + 1. Let y be c(-3). Let z be -1 - 6\/y - 0. Let t = -9 - -5. What is the nearest to -1\/3 in t, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:23 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19471*l**5 + 646*l**4 - 2*l**2 - 561480*l + 1.\nAnswer: -389420*l**3 + 7752*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1468 + 2734. Let s = i + -10111\/8. Let b = 173 + -1147\/6. Calculate the common denominator of b and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/(-15) - 4\/6. Let l be (4 - (-104)\/(-28))\/r. What is the second biggest value in -4, l, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -23\/3. Let i = -6 - -8. Let u = 2.4 - i. What is the third biggest value in p, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 294*p - 291*p - 858. What is the highest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-10) + (6 - (-4 - -4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let k(q) = q. Let c(s) = -2*i(s) + 3*k(s). Let y be c(4). Solve o = -2*d + 4, 5 + 4 = y*o + 5*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14043052277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 25*z**2 - 33 + 56*z**2 - 28*z**2 - 12*z**3 + 63*z - 21 + 3*z**4.\nAnswer: 3*(z - 3)**2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2721*t + 1364*t = 4071 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*y + 30, -18*y - 6 = -16*y. Let b(z) = 2*z**2 - 18*z + 3. Give b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.047, 1\/36, 0.2, -1.386?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*15\/72*(-3)\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1.7, -3\/2, -1.2, -4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2462525\/5904 + -10954\/41. Let t = f + -1297\/9. Calculate the common denominator of t and -9\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -13, -3 in increasing order.\nAnswer: -13, -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 2*u + 9, -4*u = -8. Let r = 0 + t. What is the smallest common multiple of 2 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 197600 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(147)*1)**2 + -6*(sqrt(147)*-3)**2.\nAnswer: -6615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*k**3 - k**2 - 9169*k + 4349496 with respect to k.\nAnswer: 165*k**2 - 2*k - 9169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 562463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186507049 and 3241.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6749*k - 310457. Calculate t(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let o = -158 + 270. Let z(q) = 7*q + 112 - o. What is z(p(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 348.6 less than 798330137?\nAnswer: 798329788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19352 + -19349. Sort x, 5, 1, -3, -1 in decreasing order.\nAnswer: 5, x, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5960 + 7656*b - 5960)*(-1 - 1 + 3).\nAnswer: 7656*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**5\/120 - 5*z**4\/8 + 17*z**3\/3 - 17. Let p(q) be the third derivative of i(q). What is p(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.6 + 17. Let v = 1.2 + n. Let u be (-12)\/(-10)*(-20)\/6. Which is the smallest value? (a) v (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/50130 and -55\/19368.\nAnswer: 53939880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 472732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w + 100 + 35*w + 39*w - 217*w + 39*w + 51*w.\nAnswer: -11*w + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h + 16. Let m be (270\/(-495) - (-89)\/22)\/(4\/8). What is g(m)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/333723 and -139\/50058450.\nAnswer: 50058450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -110, 0.5, 36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -3*20\/6. Let f = 20 + t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 1342090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*z = 59*z - 140*z - 4624 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0*a**5 + 0*a**3 + 0*a**2 - 51*a - 59\/28*a**8 + 0 - 121\/12*a**4 + 0*a**7 + 0*a**6. Find the third derivative of u(x) wrt x.\nAnswer: -14160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11732236 to the nearest integer?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52159, -208649, -469465, -834607?\n\"Answer: -52163*z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218\/337 + -26673\/54257. What is the common denominator of 41\/154 and k?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2035*u - 30*u**2 - 2035*u + 0*u + 2*u**2 + 0*u + (4*u - 3*u + u)*(-u + 2*u - 3*u) - 6*u**2 + 3*u**2 + u**2.\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -31, -4, 2, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (-29 - -18) - 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 349076 divided by 49?\nAnswer: 7124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1 - (-1)\/2. Suppose 3*p + 184 = 11*p. Suppose 2*i - 3*f - 2*f = 0, f = 5*i + p. Which is the biggest value? (a) t (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 11*z = 5*w - 7*z + 32, -15*w + 5*z - 43 = -17*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -41. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/24)\/(9\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 61 - 67)*(-w + 0*w + 4*w)*(-w + w - w).\nAnswer: 213*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n = -3*n + 394 + 626 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/58, -12\/61, -0.2 in descending order.\nAnswer: 35\/58, -12\/61, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let p = 5 + -2. Let i be 0 + p\/6 - (b + 0). What is the third smallest value in -2\/11, i, -0.5, -5\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - t - 13, -5*t - 7 = -5*m + 28. Suppose 5*x - 4*r - 1513 = -0*x, -3*x + m*r + 909 = 0. What is x rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(-266)\/84*10*(-2)\/95.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201784 divided by 100892.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 4*l**2 - 95*l + 336. Give h(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 - 1433*d**3 + 1428*d**3 + 0*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -54\/5*q - 243\/5 - 3\/5*q**2 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-4)\/(q\/q**4*((q**(-1)\/q)\/q*q*q)\/q) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 1)*(-6 + 45*f + 8 + 15*f) as h*f + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2336465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358427.9 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.5, 1477.3, -1\/5 in descending order.\nAnswer: 1477.3, -1\/5, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 86, 114, 152?\n\"Answer: 5*c**2 + 3*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227.2 + 226. What is the biggest value in -3\/5, -2, u, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:16 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000117366 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = q - 29. List the prime factors of 3 - (q + 0) - -30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6 - (-20 - -22)) + -5 - 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-10 - -4) + -1. Suppose -43 - 32 = -5*w - 5*y, 5*w = m*y + 75. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 16*f**2 + 63*f - 20. What is the remainder when 78 is divided by x(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -1\/64 (b) 3\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178543?\nAnswer: 19, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(-40)*(a**(-4)\/a*a)\/(a*a**(-2\/17)*a) assuming a is positive.\nAnswer: a**(1940\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/33 (b) -64\/3 (c) -4 (d) -14 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2650*r**3 + 177*r**2*s**2 + 372345*s**2 + s wrt r?\nAnswer: 7950*r**2 + 354*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/((-2)\/(-6)). Let k(m) = 3*m**3 - m**2 - m + 1. Let i be k(l). Let v be ((-135)\/(-12))\/(-5) + i. Sort v, -2, -1 in decreasing order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27701, -110950, -249697, -443942, -693685, -998926?\n\"Answer: -27749*p**2 - 2*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1234\/(-8021) - (0 + 1\/((-26)\/(-9)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 - 337. Which is greater: p or 13\/28?\nAnswer: 13\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = w - 4*w. Suppose d = -d + w. Suppose 3*c - j - 19 = 0, 2*j + 0 = c - 3. Calculate the greatest common divisor of d and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67338 and 44892?\nAnswer: 134676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51118 and 99303.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 56139.32nm?\nAnswer: 0.00000005613932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2114.71 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(2\/(-406)). Suppose c = 4*s + 43. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 79*z + 164. Give u(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180707.44*-0.3.\nAnswer: -54212.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-913 - -903) + (0 + (-1 - -3) - 6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.187986 millennia to decades.\nAnswer: 318.7986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 240*h**2 + 675*h.\nAnswer: 5*h*(h + 3)*(h + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/21*471\/2198 and 79\/28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c + 33. Is q(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*y**2 + 13*y**2 - 12*y**2.\nAnswer: 83*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4405123\/27 or 163154?\nAnswer: 4405123\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -8, 1\/3, 93487 in decreasing order.\nAnswer: 93487, 1\/3, -0.02, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21425 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -279*o**2 + 847*o + 5. What is g(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 214 = 716. Suppose -m = -5*o + 4*o + 5*k, -4*o + 372 = 5*k. Calculate the remainder when o is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 12*l + 3*z - 4019, -5*z = 25. Suppose -5*s - 207 = -l. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3447 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 210 = 4*v, 5*v - 42 = -4*z + 5*z. Let w = 42 + z. Solve -5*g = 3*f + 12, w*g = -5*g + 4*f - 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47203204307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 3*r**2 - 2*r - 1. Let q be l(-3). Suppose -3*n - 15 = 0, 0*s + 4*n = 4*s - q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11123133 - 11?\nAnswer: -11123210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2538 and 19\/10?\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 134.36118ns?\nAnswer: 0.00000000000155510625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 1\/42*a**7 + 1\/30*a**5 + 0*a**3 + 0*a**4 + 0*a + 7\/120*a**6 + 0 + 10*a**2. Suppose v(g) = 0. Calculate g.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29421551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (184 - 43) + -12?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b**2\/6 + 9*b\/2 + 2\/3 = 0. Calculate b.\nAnswer: -4\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.934 or 1.442?\nAnswer: 2.934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*p**2 + 14*p**2 - 221*p**2)*(-3*p**2 + 4*p**2 - 3*p**2) to d + y*p**4 + t*p**2 + l*p**3 + w*p and give y.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 345*t - 4477. Let d be f(13). Solve 17*j - d = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4))**(-48)*(h\/(((h**(3\/5)*h)\/h)\/h))**(-12\/7) assuming h is positive.\nAnswer: h**(-1212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:11 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21234 (base 6) to base 12.\nAnswer: -181a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*x - 13*f + 5*f + 12*f + 4, 2*f - 8 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z + 10015 = 1979. What is the greatest common factor of z and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17965002 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 59344557.\nAnswer: 2\/59344557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*j**2 - 274 + 274 - j + j.\nAnswer: -86*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 7. Suppose -17*w - 12 = -b*w. Calculate the remainder when 8 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-3)\/2)*-2. Suppose l*u - u = 12. Suppose -z - 4 = 2*g - 12, u*g = 12. What is the least common multiple of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12774*a**2 + 24*a + 80. Let y be o(-6). Round y to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.08437 rounded to 1 dp?\nAnswer: -49.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.56. Let f = -0.04 + q. Let h = 2.9 - f. Which is the second biggest value? (a) -2 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -195 + 76*t**2 + 195 + (2 + t - 2)*(t - 3*t + 4*t).\nAnswer: 78*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 6*a**2 + 2*a - 9. Suppose -22 = -4*x + 2*h, 2*x = -x + 4*h + 14. Determine n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6) + 0)*(1 + -6 + 23)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2263 divided by -22184\nAnswer: 2263\/22184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-4))\/(41\/(-6068)*-37).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*b + 305*b**6 - 1563*b**6 - 257*b**6 - 12556*b**4 - 54*b**2 - b**3 + 12556*b**4 wrt b.\nAnswer: -181800*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 6*sqrt(153)*-4) + sqrt(153)*5*3)\/(5*sqrt(72)\/(sqrt(14)\/sqrt(7))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (108\/(-15))\/((-16)\/40). Calculate the highest common factor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 5*j + 17. Let u be o(-7). Let q be (0 + u)\/(-3)*-8. Let c(v) = 0*v**2 + 0*v**2 + v + v**2 - q*v**3 - 2*v**2. Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lknwmwmmll. Give prob of sequence lw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22544 + 22562. Let b be (-2 + 2)*1 - 2. Let m = 0 - b. What is the least common multiple of m and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(270\/(-20)*3\/(-9))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4, -5, -2\/16135?\nAnswer: -2\/16135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -560 - -568. Solve -c + 5*j = -2, -y*c + 10 = -3*c - 5*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 109*b + 31*b + 18 + 53*b + 38*b.\nAnswer: 13*b + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/11 + (-195)\/(-165) + 65 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -2 - 5\/4*u**4 - u**3 - u**2 + 2*u. What is the remainder when k(-2) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(6\/11)))\/n)**(-1\/3))**20 assuming n is positive.\nAnswer: n**(340\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t. Let l(b) = -4792*b**2 - 28*b - 1. Determine l(u(d)).\nAnswer: -1078200*d**2 - 420*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1879 + 0*k**3 - 6*k**3 - 1879.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 23*l - 30. Let k(u) = -9*u - 2. Let x(m) = -8*m - 2. Calculate l*x(q) - 5*k(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -54, -3, 5, 2 in increasing order.\nAnswer: -54, -3, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 31 in descending order.\nAnswer: 31, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.33, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 83 = 5*b, -2*b + 3 - 35 + 65 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 875 and 91?\nAnswer: 79625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326 = -91*d + 4056. What is the smallest common multiple of 2*(75\/6)\/1 and d?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l + 137*l + 90566 = 65*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/48 and (-3298)\/(-816) + -3*1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 184\/5. Let q = 35 + -37. What is the biggest value in n, q, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 310*u - 156*u - 147*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 47*q + 7*q**2 - 53*q - 4 + 101*q to the form v*q**2 + s + d*q**3 + t*q and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558948 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 - 7) + (200 - 267)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86306596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*m = -2*r + 111, 2*m = -42*r - 225 - 21 + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2375, -2373, -2371, -2369, -2367, -2365?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5184789 (base 11) in base 6?\nAnswer: -523541124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3 - 284852*h**2 - 5071718620*h - 15212592300 = 0?\nAnswer: -35605, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -197549, -790187, -1777917, -3160739, -4938653, -7111659?\n\"Answer: -197546*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2517967, -2517965, -2517963?\n\"Answer: 2*d - 2517969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:08 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and ((-9)\/18*7)\/((-3)\/30)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -289437110.6 and 0.2.\nAnswer: -289437110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392878 is divided by 159523?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 437512497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkk when three letters picked without replacement from {k: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217599178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilbouqq. What is prob of picking 1 l and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1246.\nAnswer: 5\/1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 213, 179, 121, 33, -91, -257?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 - 2 + 2)*(10075*n - 20371*n + 10152*n + 5) to r*n**2 + q*n**3 + j*n + t and give q.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1075704 and 3370.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s*x**4 - 35*s*x**3 + s*x - 8*s + 2*x**4 + 2*x wrt x?\nAnswer: -12*s*x**2 - 210*s*x + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 75, 22, -31, -84?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + -4cbe?\nAnswer: -4c9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 152143?\nAnswer: -152147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1518300 and 198825?\nAnswer: 16701300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/10)\/(1\/2). Suppose -2*c - m = -17. Let y = 11 + c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*f*q*y**2 + 3*f*q*y - f*y + q*y**3 + 163*y**3 with respect to q.\nAnswer: -60*f*y**2 + 3*f*y + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*w**3 - 42384*w**2 + 84420*w.\nAnswer: 3*w*(w - 2)*(29*w - 14070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4143 (base 5) to base 9.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 23*t + 867. What are the prime factors of m(0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhhhhyhhgyghhhh. Give prob of picking 1 y and 1 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378078 and 976?\nAnswer: 3024624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11135122\/769 - 14480. Let g = z + -31547\/6921. Calculate the common denominator of g and 37*(2\/(-8))\/(9\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87246855 divided by 27.\nAnswer: 3231365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/5 and -37\/231900.\nAnswer: 231900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817453742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/56 and 23\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17 - 18*f**2 - 16 + 5 + 69 wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y - 6*y - 2*y**2)*((0*y - 2*y + 3*y)*(4 - 2 - 1) + 0*y + 2*y - y) to the form w*y + h*y**3 + u*y**2 + k and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*o + 4*v - 70, -3*o = -5*v - 46. Let h be o\/(-20) + (-2866)\/(-10). Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 9*g**2 + g + 19. Let s be o(-9). Suppose s*i = -10*i + 40. Solve 2*r - 4*l - 15 = r, -8 = i*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(2 - 1 - 2)*(-10*c**3 - 116*c + 116*c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 4. Suppose -2*i + u*i + 2*p = -178, 0 = -i + 2*p - 38. Let q = -26 - i. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/2*1\/10. Suppose 3*l + 0*l - 12 = 0. What is the third biggest value in 1\/2, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/38 (b) -0.06617269 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z + 25 = 0. What is the tens digit of -20*z\/(60\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = -19, -b = 4*k + 349. Put 0, -3, k in decreasing order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 534\/10 + (-8)\/20. Suppose -4 - r = -d. What is the remainder when d is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -8. Let n be ((-6)\/39)\/(-1) - 0. Let c = 47\/52 - n. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51443, -51416, -51361, -51266, -51119, -50908?\nAnswer: -50621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(-5 - 11\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:18 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 939, 4434, 10257, 18408, 28887?\nAnswer: 41694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 4. Let a be l(-2). Let t = a + 12. Let p be 0 + 0 + (-3)\/(-1). Solve -q - g - 27 = -6*q, -p = q + t*g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -80. Let s = -33 - g. Let l = s + -9. What is the greatest common factor of 34 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2088, -4174, -6262, -8352, -10444, -12538, -14634?\nAnswer: -16732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (4 + sqrt(99)))*-1 + -3 + sqrt(99) + sqrt(99) + 5)**2.\nAnswer: 72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 64. Let y = 1.1 + -0.1. Which is the third smallest value? (a) g (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 11*d + 2*n = -24*d + n - 12, 3*d + 68*n = -417 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3451.95 nanometers in centimeters?\nAnswer: 0.000345195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15289027 is divided by 208?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/60 - v**4\/12 - 5*v**3\/6 - v**2. Suppose -1710 = 23*t - 213*t. Let r(d) = 5*d**2 - 9*d - 21. Determine t*s(h) - 2*r(h).\nAnswer: -h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - -1.38. Let i = -0.1 + u. Let t = i + -1.8. What is the nearest to -2\/5 in 5, 6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724 greater than -5.344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68488 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 0*o + 6*o - 3*o - o**2. Let l(w) = -w**2 - 3*w + 4. Let p be l(-4). Suppose 3*x + 3*v + 14 = 4*v, p = -5*x - 3*v. Calculate i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 283831805 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3372030 and 92?\nAnswer: 6744060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 4 - 4 - -2 - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3\/(3\/(-5)). Suppose 0 = 2*w - 3*b + 9, 0 = -p*w - 3*b + 6*b. Let r(c) = 14*c - 6. Let k be r(0). Put -2, k, w in descending order.\nAnswer: w, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + 1 - 5 + 4.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30610 and 1.\nAnswer: 30610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3 + 4710*j**2 - 18872*j = 0.\nAnswer: -2359, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2 + 700*l + 235566 wrt l?\nAnswer: 4*l + 700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71857699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/966 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 60 = 3*d, 2*d - 3*n = 44. Let g = d + -10. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 28. Let f(t) = -5*t - 11. Let r be f(-2). Let n be -1 + r - 4\/8*-10. Solve 6*l - v = n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -608675.79 to the nearest one hundred.\nAnswer: -608700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*((-29808)\/(-11907))\/92.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33192 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 2. Let p(x) = x - 1. Let g(n) = n - 7. Let y(c) = g(c) - 4*p(c). What is -4*i(m) - 3*y(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (15 + (-37 - -112))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1764 divided by -252\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 18*y + 11*y + 10*y - 3 - 49*y.\nAnswer: -7*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(28\/8))\/(-1). Solve -5*z - 5*u - 30 = 0, -4*z - 14 = j*u - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2704)\/(-416) + ((-3)\/(-15))\/((-8)\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((52\/(-10))\/13)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 193.99?\nAnswer: 197.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1917, -755, 1185, 3909, 7423, 11733?\n\"Answer: s**3 + 383*s**2 + 6*s - 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeejejejeej. Give prob of picking 3 e.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = p + 70. Let g = 53 - p. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -998, -1086, -1174, -1262, -1350?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18816*t - 19000*t + 368 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6082 + 74375 = -6189*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - -2f143?\nAnswer: 2f117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -94.81. Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = -0*y. Suppose -y*s + n = -3*n + 206, 3*s = 2*n - 214. Is (s\/8)\/((-3)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 6. Give y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 20, 99, 252, 503?\n\"Answer: 4*a**3 + a**2 - 2*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 29515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2401217029 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6174788744 - -0.04784?\nAnswer: -0.5696388744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzjjzjzzjzzzjj. Give prob of picking 1 j and 1 z.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79137032, -79137026, -79137022, -79137020, -79137020?\n\"Answer: -y**2 + 9*y - 79137040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/6 - h**2\/2 + 3*h. Let i be s(4). Solve 0 = -r + 2*r + i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 48 = -g, -4*m - 2*g = -0*g - 42. Let l = -6 + m. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 0.4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 107 + 25 = 0. Let j(k) = k**3 - 9*k**2 + 11*k - 7. List the prime factors of j(n).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979555907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.3 (c) 1\/1347725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-w**3 + 6*w**3 - 4*w**3) + 685*w - 21*w**3 - 685*w + 5*w**2 + 0*w**3 - w**3 + 0*w**3.\nAnswer: -23*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 6. Let u(d) = -7*d + 6. Let c be u(h). Is ((-6)\/4)\/(c\/3310) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.948, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2 - 27*b**2 + 24*b**2 - 12*b**2. Suppose 3 = -2*p - 2*y + y, -5*y - 15 = -4*p. Let a(v) = -3*v + 359 + p*v - 359. Calculate s(a(u)).\nAnswer: -198*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*r = -r + 9, 5*r = -6*n - 51597 + 51608 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-10)*((-1421)\/87 + 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.3 + -0.3. Let z = d + -89.96. What is the nearest to 0.2 in 0, z, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 182*z**5\/5 - 5*z**4\/6 + 5*z**3\/3 + 4*z**2 - 6*z. Let a be f(9). What is a rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**4\/24 + j**3 - 103*j**2 - 198. Let a(x) be the second derivative of f(x). Calculate a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(14\/(-4)) + (4 - -6). Suppose 4*x = t*x - 888. Calculate the remainder when x is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/(y**(-2\/9)*y))\/(y\/(y*y*y\/((y*y*y**(-1\/3)\/y)\/y)))**(-44) assuming y is positive.\nAnswer: y**(-1048\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 846*k**3 + 8973*k**2 - 8130*k.\nAnswer: 3*k*(k - 271)*(k - 10)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 1, d: 1, y: 1, v: 1}. Give prob of sequence ll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -15. Let u = 7 - y. Sort -5, -2\/9, u in ascending order.\nAnswer: -5, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*i**4 + 999912*i**3 - 10414833414*i**2 + 72318867421247*i\/2.\nAnswer: -i*(4*i - 41663)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2119 + 2245. What is the greatest common divisor of o and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i\/i**(2\/19)))*i*i\/(i\/(((i\/(i*i**3*i))\/i)\/i*i*i)*i)*(i**(-2\/11))**(-2\/17))**(18\/13) assuming i is positive.\nAnswer: i**(-133272\/46189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -113368*x. Let p(y) = y**2. What is p(l(o))?\nAnswer: 12852303424*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n - 32*c + 153 = 48*n - 5*c, 5*n + 4*c - 31 - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3993 - -55833\/14. Calculate the common denominator of -37\/8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(52) + sqrt(6292) + 1)*-2.\nAnswer: -48*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 749.2305ml?\nAnswer: 0.7492305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -86909?\nAnswer: -17381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 8)*(r**2 + 0*r**2 + 0*r**2).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -58*u + 392. Calculate t(18).\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271 (base 14) to base 9.\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4842113kg to tonnes.\nAnswer: 0.0004842113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, a: 5, c: 3}. What is prob of picking 1 b and 1 c?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13311 = -3*x - 13362 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, o: 11, h: 1}. Give prob of sequence fff.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 29*y**2 - 24*y + 48. Let w be o(30). What is the tens digit of 412148\/w + (1 - (-5)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 + -121 + (0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + -4 + -4*(-2 + sqrt(242)) + 5 + 2 + sqrt(242)))**2.\nAnswer: -10560*sqrt(2) + 36448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-36))*(-430)\/645?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 - 4*g - 21. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = -p + 2*l, -3*p - 10 = l. Let a = -354 - -339. Is p equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((210\/18)\/(-7)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 = -7*r - 370. Solve 5*o = -3*l - r + 106, -4*o = 5*l - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 9*x + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d**4\/6 - 117733*d**3\/3 + 30083042*d**2 + 51599764*d\/3 + 7372768\/3 = 0.\nAnswer: -2\/7, 958, 3848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(2 - 10*-16). Calculate the highest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 116*m + 2513. Calculate l(-87).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -911*a**4 + 1001*a**3 + 24071470*a wrt a?\nAnswer: -10932*a**2 + 6006*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4972455 or 0?\nAnswer: 1\/4972455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689, -2660, -6053, -10964, -17489?\nAnswer: -25724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156879 rounded to three decimal places?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let p(y) be the first derivative of y**4\/4 + 3*y**2 - 3. Let w(a) be the second derivative of p(a). Give w(v(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 24. List the prime factors of (-2 - (29 + k))*(-3)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -21*u + 6. Let d(t) = -21*t + 7. Let v(j) = -6*d(j) + 7*n(j). Let a be v(-3). Let i = -37 + a. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + 5\/(-15). Let u = -0.84 - -0.34. Which is the nearest to 0? (a) u (b) i (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 3. Let t(i) = -i**2 - 28*i + 64. Let u be t(-30). Let z(o) = -2*o + 4. Give u*f(c) - 3*z(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -67*y**7\/210 + y**5\/2 + 19*y**2\/2 - 29. Let d(c) be the second derivative of x(c). Find the third derivative of d(g) wrt g.\nAnswer: -1608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 4*f**2 + 0*f**2)*(-13 + 89 - 24).\nAnswer: -104*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllllllalllla. Give prob of picking 1 a and 1 l.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -51*c - 286. Let f be j(-6). Suppose d + 2*d + 16 = 4*w, 4*w + 2*d - 16 = 0. Solve -5*n + 4*v - f = 6*v, w*n - v + 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -3*u. What is the remainder when 30 is divided by ((-4)\/5*u)\/(35\/(-175))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395146 is divided by 130412?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117905026?\nAnswer: 2, 7, 79850359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, k: 6}. What is prob of sequence xxk?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37663, 75612, 114141, 153538, 194091, 236088?\nAnswer: 279817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23004 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + (10 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 12*m + 11. Let t = -11 + 19. Put m, t, 3, 2 in descending order.\nAnswer: t, 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3 + 32*x**2 - 36*x = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = -8. Suppose -x = -4*f - b*f - 18, 3*x = -3*f - 6. What is the nearest to 2\/5 in 2\/9, 5, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39333?\nAnswer: 3, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + z**2 - 93*z + 48*z + z**2 + 48*z.\nAnswer: 3*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148212301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -0.0338969.\nAnswer: -0.5423504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -127. Which is the second biggest value? (a) x (b) -2\/11 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + m + 18. Let q be a(-5). Let w = q + 378. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 23. Let g be p(8). Let w = 2 - g. Solve -r = -w - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**7\/840 - c**6\/120 + c**5\/40 + c**4\/12 - 5*c**3\/3 + 14. Let j(y) be the third derivative of n(y). Give j(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 56 + 21)*(-b + 2 - 2).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-8)\/(-12)*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (sqrt(76) + 1 + 5 - sqrt(76))*6)**2 + -3.\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 6340 = -0*t + g + 191*g, -4*t + g + 169 = 2*g + 4*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-30)\/(-12))*-3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*t - 24 = 0, -92*h = -49*h - 47*h + 23*t - 93 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Solve -t = 2*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**3 - 15*a + 19. Let y(j) = 4*j**3 - 7*j + 9. Let r = -8412 + 8418. Give r*m(t) - 13*y(t).\nAnswer: 2*t**3 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4693, 4706, 4733, 4780, 4853?\n\"Answer: g**3 + g**2 + 3*g + 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2578 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 3*y + 2. Let d be p(-3). Let u be 0 + d - (2 + 6). Let v(o) = -o**3 - 5*o**2 - o - 10. What are the prime factors of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkknknoeenokn. What is prob of picking 1 o, 1 e, and 1 k?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58108, 58103, 58088, 58057, 58004, 57923?\nAnswer: 57808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2*w**3 + 179567*p**2 - 1431*p*w**3 with respect to w.\nAnswer: 3*p**2*w**2 - 4293*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - 2*n + 361. Let t(o) = 138*o. Determine t(z(c)).\nAnswer: -690*c**2 - 276*c + 49818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2177, 2161, 2103, 1979, 1765, 1437?\n\"Answer: -4*u**3 + 3*u**2 + 3*u + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 7 (c) 759 (d) -3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 7*z + 7. Suppose 20 = 3*p + 5. Let i be h(p). What is the common denominator of -16\/9 and i\/10*95\/(-15)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -32. Let l(w) = 49*w + 6221. Calculate the smallest common multiple of l(-125) and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 20. Let q be o\/4 - (-1)\/2. What is the first derivative of -2 + 5*z**2 + 0 - q*z**2 wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*c + 46, -5*c + 3*u = -0*u + 30 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.0386 (b) -4 (c) -2\/7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*f + 202*f - 18241 = -79*f for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10 + 70007\/(-45140). Let o = 2\/2257 + u. What is the common denominator of o and 97\/(-30) - 1\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 5*s - s**3 + 2*s**2 + 2*s**2 - 3. What is the units digit of y(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 55. Factor 0*b**3 + 7*b**3 + 32*b**2 - b**a - 30*b**2 - 2*b**4 - 6*b.\nAnswer: -2*b*(b - 3)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (0 - 4))*1\/(-3). Let c be n + -3 - -436828 - -1. Let w = c + -96827. What is w rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29607028 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 75376\nAnswer: 11\/75376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 + 1.78. Let r = -0.02 - y. Let p = 34.687 - 36.687. What is the smallest value in r, -2\/19, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -588113*w**3 - 106*w**2 - 14*w - 14 wrt w?\nAnswer: -3528678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1\/4, 0.047 in decreasing order.\nAnswer: 5, 0.047, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Suppose 6*s + 9 = -d + 2*s, -d = s + 9. Let n(v) = -v**3 - 9*v**2 + 2. Let f be n(d). Let u(h) = -5 + 2 + 3 - f*h**2. Determine o(u(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 18*k - 23*k = -4, 0 = -4*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10829 and 10608?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 11*j - 3. Let m be g(-9). Let c(d) = m + 8 + 28*d - 24. What are the prime factors of c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 183 in ascending order.\nAnswer: -5, 5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8903 - -14917. Calculate the remainder when q is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 r when three letters picked without replacement from {n: 1, s: 5, r: 1, u: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -8 (c) -0.2 (d) -423.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94244 + -94170. Calculate the remainder when v is divided by (-7*1*-1)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411344 - 110140?\nAnswer: -1022034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10937*o**3*z**5 + 496*o**3*z**2 + 8*o**3 + 11*o**2 - 9696*o*z wrt z?\nAnswer: 218740*o**3*z**3 + 992*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1703.8245 and 320110?\nAnswer: 318406.1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5869583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g**2 + 4*g - 2. Let f be b(3). Let r = 341 - f. Suppose 0 = -0*p - 4*p - v + 1031, 0 = 2*p - 4*v - r. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let r(m) be the first derivative of -7*m**3 + 3*m**2\/2 + 48. Give r(l(u)).\nAnswer: -21*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115\/(-15)*(-2 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-128 - -89) + 9 - (0 - 0)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 56, 13*d + 2*y = 197 - 188 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2558334 and 25583340?\nAnswer: 25583340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.204946 rounded to three dps?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - 152\/20. Let r be (24\/v)\/((-22)\/8 - -2). Suppose -4 = 5*y - 5*g + 6, 6 = -5*y + r*g. Solve 2*q + 5*u = -35, 4*q + y*u + 20 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1328913687 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 14*l - 14. Let f be j(-14). Is -13 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -5*p**4\/12 - p**3\/3 - 22*p. Find the second derivative of x(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, 0.16, -70, -3, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*u + 264, 3*b + 3*u = b + 132. Suppose -18 - b = -z. Suppose 2*t - 5*v = -z, 4*t - 2*v + 220 = -5*v. Is t smaller than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/15 + 182*t**4\/5 + 2466*t**3 - 37538*t**2\/15.\nAnswer: 2*t**2*(t - 1)*(t + 137)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5784113*m**3 + 22*m**2 - 15637*m wrt m?\nAnswer: 34704678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 963584\/113109 + -17\/3057. Let r = -3079\/592 + d. Find the common denominator of r and ((-31)\/30)\/((-2)\/(-3)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 7. Let d be ((-2)\/(-4))\/(12\/(-312)). Let s be d + 5\/(5\/6). Determine t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 24. Which is the second biggest value? (a) 0 (b) i (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 2:59 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15459 - 494689\/32. Put 2\/13, l, -114 in ascending order.\nAnswer: -114, l, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2460*m = 2456*m - 2*t - 32, -44 = 2*m + 8*t for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/495*21*52\/91?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**3 - f**2. Let k be j(-1). Let o = 21 + -13. Let h = o - 4. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-10)\/540*(-24)\/224)\/((-40)\/(-70)).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 19. Calculate r(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 + 3*w**2 + 6*w. Let z be m(2). Sort z, -1, 5 in descending order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*d - 26, 2*d - 7*d = -z - 12. Let m = -14 - z. Calculate the smallest common multiple of m and (-1)\/(36\/(-240))*(-12)\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*153\/(-510)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/16, -0.043, 0, 4?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**3 + 124*d**3 + 85*d**3 + 1 - 87*d**3 - 1 + 10*d**3.\nAnswer: 167*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32099 is divided by 1003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 18*l - 16. Let t be n(-15). Suppose t*w - 2683 = -334. Does 81 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-160)\/1680 - 2784\/(-126). Solve 5*s + 62 = d for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -24002423?\nAnswer: -24002402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-18)\/(-45)*-1*35. Let u be 1 + (0 - -1)*-3. Let c be (s\/28)\/(u\/(-7)). Do -2\/3 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21809, -43892, -65975?\nAnswer: -88058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102200012 + -10113?\nAnswer: -102210131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -45.00000097. Round t to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 9, -2481, -2\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38396 is divided by 167.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**4 - 31*w**3 + 65*w**2 - 37*w - 2. Let z(v) = -v**4 - 31*v**3 + 65*v**2 - 39*v - 3. Let s(t) = 3*h(t) - 2*z(t). Factor s(f).\nAnswer: -f*(f - 1)**2*(f + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182355324.\nAnswer: 2, 3, 15196277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - 9 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 2. Let p = 10 + -11. Sort o, p, -4 in decreasing order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 6*n. Suppose -g + 3 = -2*z - 26, 4*g - 5*z - 119 = n. Is g a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -257638?\nAnswer: -515276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 2\/15, 26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 803980 and 222650.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6278 divided by 22.\nAnswer: -3139\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 14*a**2 - 6*a. Let r be x(12). Suppose 0 = -4*f - 5*z + 294, z - 5 = 3*f - r. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101686 - 9334*g**2 - 3641*g**2 + 115873 wrt g?\nAnswer: -25950*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 9. Let o(g) = 4*g - 8. What is 4*o(y) + 3*v(y)?\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7372 - -7372.06. Let r = 0 - 1. Let i be (-1)\/(-2)*(r + 1). What is the nearest to 0 in i, m, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z + u + 843, -3*u - 839 = -z. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59641235 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1076, 935, 516, -319, -1708, -3789, -6700, -10579?\n\"Answer: -23*j**3 - j**2 + 23*j + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 2*x**2 + 19*x + 2. Let j(t) = t**2 - t - 1. Calculate -2*j(b) - s(b).\nAnswer: b**3 - 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 10) to base 5\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 9 + 35 - 9 - 10 - 67*v to q*v + a and give q.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -26*w + 5*c + 2605, 0 = -2*w + 3*c + 1046. What is the remainder when w is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87378950.\nAnswer: 2, 5, 1747579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30105 - 1445107\/48. What is the common denominator of d and 133\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 61785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*x + 38, 0 = -x - 5*j - 0 - 1. Let g be 0\/1 - (-13 + 8). Suppose g = -c - 0. Sort 2, x, c in decreasing order.\nAnswer: 2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427 is divided by 61.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.66 plus -3145014?\nAnswer: -3145008.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35044249 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2558722 and 4.\nAnswer: -10234888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/7 or -17476?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 - 188. What is the least common multiple of 33 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkkkaxuauxaxaa. What is prob of sequence ak?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4941108872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 13. Let o(u) = 3*u + 12. What is -3*k(y) + 2*o(y)?\nAnswer: -6*y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 138 + 254. Let v = s + 161. Suppose y - 20 = v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.45 - -6.85. Let v = n - 6. What is the smallest value in v, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/13)*s**(5\/4)\/s)**(5\/4)*((s\/s**(-2\/9))\/s)**(-2\/35)*(s**(-2\/9)*s*s)**37 assuming s is positive.\nAnswer: s**(4398703\/65520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 27024?\nAnswer: -27021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, 1 b, and 1 n when four letters picked without replacement from fbfomlffooon.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -69, -102, -121, -120, -93, -34?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*q + 20, 87*q = -3*h + 84*q - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 826127274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3044328, -6088626, -9132924?\n\"Answer: -3044298*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4 - 11*t**2 + 11 to y*t + l + d*t**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (-855 + 8)\/7. Let s be 64\/z + 4\/18. What is the biggest value in -0.4, -4, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 19 = -18. Let v be ((-33)\/(-44))\/(y\/(-8)). What is the second smallest value in 2, v, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -86 (c) 5 (d) 3716 (e) 1 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -110, -237, -404, -605, -834, -1085?\n\"Answer: g**3 - 29*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/(g*g\/g**(-1\/6)*g*g*g))**(-28) assuming g is positive.\nAnswer: g**(1246\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 939 - 924 - (31 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - 0 - (-5 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108927658 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Let j be 2*(k\/(-2) - -3). What are the prime factors of (-13 - j)\/((-2)\/3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and 40761.\nAnswer: 40799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313294 or -313289?\nAnswer: -313289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h**5 - 181508*h**4 - 83864*h**3 + 279256*h**2 + 83812*h - 97748 = 0. Calculate h.\nAnswer: -1, 7\/13, 1, 3491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35202250*f**5 - 2*f**4 - f**3 + 409794862*f**2?\nAnswer: 2112135000*f**2 - 48*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6319181 and 73117?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1333 - -1329. Let s = -0.0335 - 3.9365. Let o = s + 4. Which is the biggest value? (a) u (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:31 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/15, -2\/1229, 29, -2, -50?\nAnswer: -2\/1229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 6234*v**2 - 12480*v.\nAnswer: 3*v*(v - 2080)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 0 + -3))*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-3\/7)))\/k)\/k**(-2\/13)*k**20*k\/(k*((k\/k**(-2\/73))\/k)\/k) assuming k is positive.\nAnswer: k**(130853\/6643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrvg. Give prob of sequence gg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 52\/(-12))*15. Let j be k*14\/(-105)*21\/2. Suppose -g = -j + 9. What is the second smallest value in -5, 1\/4, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1310401 (base 5) to base 12\nAnswer: -12a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 a factor of 55162081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**2 - i**4 - 28 + 31 - 11*i**6 - i**2 wrt i.\nAnswer: -1320*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002898 to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162 - 5?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -45.29. Let h = n + 0.2854. Round h to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/5 (c) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 261 = 3*l - 262, -l = 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 + 54*r**4 - 210*r**3 - 4342*r**2 + 30420*r = 0.\nAnswer: -9, 0, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:36 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11119*l**3 - 7*l**2 + 2*l**2 + l**2 + 12 - 11121*l**3 + 10*l.\nAnswer: -2*(l - 2)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32933 (b) 2\/5 (c) 4 (d) 0 (e) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1314, 3, -117 in increasing order.\nAnswer: -1314, -117, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 220*w**3 + 2644*w**2 - w + 3228240?\nAnswer: 660*w**2 + 5288*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/4 + 7*k**3\/3 - 3*k**2 + k - 1. Let f be s(6). Suppose 4*j = -11 - f. Put 5, 3, j in decreasing order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97a - -9372?\nAnswer: a01c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 750 and 56325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 63149?\nAnswer: 315745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 3\/6. Let n(r) be the second derivative of -3\/40*r**5 + 2*r + 0 + s*r**2 + 1\/8*r**4 - 1\/12*r**3 + 1\/60*r**6. Factor n(m).\nAnswer: m*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1217 - 865. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 28 = o, -1428*k + o = -1426*k - 50. Let c = 2 + 8. Calculate the remainder when k is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 5, e: 8}. Give prob of sequence eyhy.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11937050.\nAnswer: 2, 5, 193, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 - 2)*(-174*g + 129*g**2 + 174*g)*(-2*g - g + 2*g) in the form r + d*g**3 + z*g**2 + w*g and give d.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2766 and 11\/51?\nAnswer: 47022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -31*r**3\/6 + 4*r. Let b(p) = 1801*p - 605*p - 594*p - 601*p. Give b(m(v)).\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -849 by 74.\nAnswer: -849\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 3. Let c be b(8). Calculate the greatest common factor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181020101 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1654*t**2 - 300*t + 12. Let r(a) = -830*a**2 + 149*a - 6. Let m(p) = -4*i(p) - 7*r(p). What is the second derivative of m(g) wrt g?\nAnswer: -1612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 1. Let b be v(2). Suppose -4*n + b*n - 5*q = 4, 2*n - 2*q - 16 = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1377) + -2 + sqrt(1377) + 3)**2 - (5 + -1 + -3 + sqrt(17) + 0).\nAnswer: 215*sqrt(17) + 5543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133856 or 133860?\nAnswer: 133856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*k + 305 = 0, -5*k + 495 = -3*b + 1402. Suppose -s + 578 = -b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let w = d + -3.958. Round w to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 6021.\nAnswer: -602.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 548046 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 third derivative of 75*o**2*v**3 - 2*o**2*v**2 - 188*o**2*v - 2*o*v**4 wrt v.\nAnswer: 450*o**2 - 48*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j + 2, -5*n + 13 = -2*j. Suppose n*w = 2*w + 15. What is the highest common factor of 30 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -42*v. Let h(r) = 3 + 18*r - 100*r + 37*r + 38*r. Give l(h(i)).\nAnswer: 294*i - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + l - 18980 + 0*l - 196565.\nAnswer: l - 215545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a - 8. Let d(v) = 171*v - 146*v - 23*v. Give d(b(h)).\nAnswer: 26*h - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334766125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -80, -253, -590, -1145, -1972?\nAnswer: -3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyy. What is prob of sequence yy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046756 rounded to six decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*-3*4*sqrt(204))\/(sqrt(384)\/(1*sqrt(8)))*5.\nAnswer: -180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 22*j - 98. Let n be f(-32). Suppose -6267 = -5*t - k, 5*k - 2738 = -2*t - n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-2)*6\/(-36))\/(7\/1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11746657 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2700681 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 27*x**2 + 36*x + 272. Let w be p(-26). Solve w*f - 81 = -9 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 70, -117, 1, -3, 5 in ascending order.\nAnswer: -117, -3, -1, 1, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10592*n**2 - 67*n**3 - 10592*n**2 + (2*n - n - 2*n)*(-n**2 - n**2 + 3*n**2) + 2*n**3 + 4*n**3 - 5*n**3.\nAnswer: -67*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*11\/((-132)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59512 - 39971. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11065.09 + -11135. Let f = p + 70. Sort 4\/5, 1\/6, 2, f in decreasing order.\nAnswer: 2, 4\/5, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 5*b**2 - 2 + 0*b**3 + 4*b**3 - 2*b**3 to m*b**3 + l + g*b**2 + h*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -873 - -898. What is the greatest common factor of t and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06739 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1190\/153 - 7\/((-126)\/4). Solve -3*q + 11*q = -p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 116*t = 56*t - 730 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*v = -3*x - 22, 4*v - 21 = -x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -2668, -8739, -20568, -40075?\nAnswer: -69180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3364*p**5\/5 + 89956956*p**4\/5 - 173719624*p**3\/5 + 77661896*p**2\/5 + 5990436*p\/5 + 106972\/5 = 0?\nAnswer: -26743, -1\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13897 - -13900. Sort 4, 1\/3, -4.1, s, 0.5 in descending order.\nAnswer: 4, s, 0.5, 1\/3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 3 = 23*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + k**2 - 5*k - 3. Give u(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.057 (b) -0.2 (c) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1)*f*f**(2\/9)*f*f**4*f**(-1\/10))**(2\/107) assuming f is positive.\nAnswer: f**(641\/4815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.1. Let w = 358.3 - 36.5. Let q = w - 322. Which is the second smallest value? (a) y (b) q (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 2151301?\nAnswer: -2151306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 5*q + p, 59 = 3*q - 2*q + 4*p. Let n = q + -43. Suppose v + 0 = n. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 + 20*j**4 - 74*j**3 + 128*j**2 - 104*j + 32 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -375 - -375. Let b be f\/10*1\/2 - 1. Let d(i) = -i**3 + i**2 + 5*i + 2. Let q(w) = -w - 1. Determine b*d(u) - 2*q(u).\nAnswer: u**3 - u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 75 = q. Let h = q + -9. Suppose -r = -h*r + 130. Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**3 + 5*q**2 + 2*q - 7. Let w(d) = -5*d + 29. Let b be w(5). Let l(u) = 7*u**3 - 4*u**2 - 2*u + 6. Determine b*v(j) + 5*l(j).\nAnswer: 3*j**3 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7846+-122590\nAnswer: -114744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31177, -30329, -29481, -28633?\n\"Answer: 848*k - 32025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -5*x**3 + 34*x**2 - 2584*x - 606. What is the first derivative of m(k) wrt k?\nAnswer: -30*k + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 4. Let b = v + 5. Suppose -4*q - 55 = -5*m + 31, -5*q + 22 = 3*m. Calculate the lowest common multiple of m and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -572 - -272. Let x = k - -301. Let s be (-326)\/560 - (-9)\/15. Is s bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 10*l + 42. Determine n(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 4 + 5*n - 3 + (-4 - 2 + 5)*(-n + 0 + 0) + 29 + 36*n - 29 to the form u + k*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188 + 2*w + 92 + 93 + 3*w**2)*(-2 + 1 + 0)*(1 + 6 - 1)*(4*w**3 - 3*w**3 + 2*w**3).\nAnswer: -54*w**5 - 36*w**4 + 54*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34439 and 0.5.\nAnswer: 17219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j + 122*j = 70*j + 110 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:04 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23637691 + 23593039 = 732*n for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q + 128 = 41*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3709, -3691, -3663, -3625, -3577?\n\"Answer: 5*i**2 + 3*i - 3717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 16, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31 and 29\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*8*10\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, -4.\nAnswer: -4, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 271570253304?\nAnswer: -271570253300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - 1, 4*h - 3*u = -66. Suppose -a - 2*m = -4*m - 2, 0 = 4*a - 3*m + 12. Let k be ((-8)\/25)\/(a\/h). Sort 1, k, -2\/9 in ascending order.\nAnswer: k, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -21*q + 0*q**3 + 5\/6*q**4 + 0*q**2 + 0 - 19\/20*q**5. What is the third derivative of w(p) wrt p?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1442 and -0.7617?\nAnswer: 0.10983714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-52)*1\/(-3)*-2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (10 + -20 - (-3 + 2))) + 6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266\/152*6\/7.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-3)\/9) + 39. Let d = a + -29. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 12:05 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 2)*(-43*i - 44*i + 80*i) + 2 - 3 + i + 3 - i + 0 + 0 + (-4*i + 0*i + 5*i)*(3 - 2 + 1) as q*i + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**17*i**(25\/2)\/i*i*i*i*(i**17)**(-17\/2))**(-2\/77) assuming i is positive.\nAnswer: i**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83574 - j**2 + 7*j - 83574 - 3*j**3 + (1 + 2*j - 1)*(j**2 - 2 + 2).\nAnswer: -j**3 - j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22399547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(624)*4)\/sqrt(3) + (sqrt(104)\/(sqrt(24)\/(sqrt(3)*-2)))**2.\nAnswer: 52 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0268512 years in months?\nAnswer: 0.3222144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402101 divided by 527.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*a + a + 2*a in the form p*a + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.230296139 to five decimal places.\nAnswer: -0.2303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:47 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -11. Suppose 3*a = -0*x + x - 4, 4*a = 0. Suppose 4*l - 2*v = 3*v + 43, -x*l - v + 49 = 0. Calculate the greatest common factor of k and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/13253 and -25\/153552.\nAnswer: 4453008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7 - 5*y + 4*y - 2*y. List the prime factors of l(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4195674784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-402)\/21)\/((159\/318)\/((-14)\/8)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14a + 5eeb4?\nAnswer: 5effe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4085 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 819386\/3 - 273126. Factor 4\/3*n**5 + 0 + s*n - 28\/3*n**2 + 12*n**3 - 20\/3*n**4.\nAnswer: 4*n*(n - 2)*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 16*q + 33. Let o be 1 + 2 + (-64)\/(-6 - -10). Calculate i(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35613061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-10 + 6 - ((-6 - 16) + 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 2 u when four letters picked without replacement from {l: 1, t: 10, u: 2, w: 1, v: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 32*h + 334. Let k(y) = -10*y - 111. Let g(f) = -11*k(f) - 4*n(f). Calculate g(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86080 + 4635*n - 43037 - 43043.\nAnswer: 4635*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/11 + 2807038*l\/11 - 1020744 = 0. Calculate l.\nAnswer: -1403523, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1 - -2)*-1. Let t = 42 + -335\/8. Let x = -0.03 - 4.97. What is the closest to 0.1 in r, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7245065 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -25. Is (661 - -1)*i\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587 = -6*v + 1275. Does 53 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 3*d**2 - 4*d. Let q be n(-4). Let v = -831\/7 - -119. Factor -2\/7 + q*y + v*y**2.\nAnswer: 2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 + 225*p**2 + 254*p**2 in the form b + o*p + k*p**2 and give k.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - 1*sqrt(136)))*-4)\/(2*(sqrt(800) - sqrt(8))).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4.13948*-0.08\nAnswer: 0.3311584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2817*m = 9886*m + 19864*m + 1454382 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 12}. Give prob of picking 2 w and 2 l.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173515451*t**3*x**3 + 212*t**3*x + 32*t**3 + 2*t**2*x + 6*t**2 - 3 wrt x.\nAnswer: 1041092706*t**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1900)*4*5 - -1*(1 + sqrt(1900))) + -1)**2.\nAnswer: 5040*sqrt(19) + 7541116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/5, -0.3, 1 in decreasing order.\nAnswer: 1, 2\/5, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 8*v**2 + 32. Let a be u(-4). Let m(y) = -y - 1. Let o be m(-6). Find the second derivative of 6*k**o + 40*k - a*k - 24*k wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1045 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50419 + u - 50419.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/620 and 19\/620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 93989675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 253.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -48*w + 10*w + 432 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.10306 and -0.5.\nAnswer: -0.60306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/60 + r**4\/24 + r**3 + 12*r**2. Let s be v(-6). Let z = 94 + s. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -31*y**6\/5 + y**5\/10 - y**4\/6 - 76*y**2 - 24*y + 13. What is the third derivative of d(k) wrt k?\nAnswer: -4464*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*s + 8 = 0, -20 = 5*o + s - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/11, -71 in decreasing order.\nAnswer: -1\/11, -1\/3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 492\/2311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.3 + 18.7. Let x = 52.99999885 - q. Round x to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**4 - 382*l**3 + 3008*l**2 + 512*l.\nAnswer: 2*l*(l - 16)**2*(6*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*l - 1703*l + 495*l - 5 + 422*l + 2.\nAnswer: -116*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)\/(n**(2\/9)\/n*n))\/(n\/(n**(-2\/5)\/n)*n)**21)\/(n\/(((n**0\/n*n)\/n)\/n)*(n*n*n**8)\/n*n**9\/n**(4\/5)) assuming n is positive.\nAnswer: n**(-4162\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -518.\nAnswer: 3\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/350)\/((-2)\/(-12)*-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (981 - 889) + (-40 - (2 - 6))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + j - 5008, -10028 = -4*t + 4*j. Suppose -5*r + 3*a = 8*a - t, -4*a + 1012 = 2*r. Suppose -2*h + w = -250, -2*h - 2*h + r = -3*w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16040 divided by 20\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -7. Let o be r + 3 + (0 - -1). Is (32 - o\/(-1)) + 1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 + 0 - 3*g + 1.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-16 - ((4 - 2) + -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -3 - 14\/(-12). Sort -3, 0.1, m.\nAnswer: -3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2745*n + 13423 + 15899 - 1872 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 296111 - 68396 = -5*b, 2*b = 0. What are the prime factors of f?\nAnswer: 3, 17, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5 (c) -8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38655, -77194, -115733, -154272?\nAnswer: -192811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 22*u - 14. List the prime factors of x(-16).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1142*d**2. Let w(k) = 76*k**2. Determine v(w(r)).\nAnswer: -6596192*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 37. List the prime factors of (-58)\/(-4) + i\/12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127 + -11?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 17*r = l - 72, -5*r - 5*l + 120 = 0. What is the remainder when r is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1779404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1358c (base 14) to base 10.\nAnswer: 47752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304120, 304119, 304118?\nAnswer: 304117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 188, 279, 370?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 1:17 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 24 = -5*i, -b + 2 = -3*i + 19 - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/5)\/((-20)\/50). Suppose -v*a + 9 = -3*a. Find r such that -8\/7*r**2 + 4\/7 + 6\/7*r**a - 2\/7*r = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + n = -255696, 4*w - 2*n - 1493884 = -471110. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119596 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 z when four letters picked without replacement from jiizzzp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233638 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/108919 and -85\/247336.\nAnswer: 626502088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322000 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 41, -3, -6 in ascending order.\nAnswer: -6, -3, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -203a5 - 12a16?\nAnswer: -33310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(931) + sqrt(19)) + -2.\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639*-0.3.\nAnswer: 191.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(8)*3*-3)\/(sqrt(216)\/sqrt(6) + (sqrt(4) + sqrt(16)\/sqrt(4))*-2).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 18. What is the closest to 1 in g, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*x - 35*x + 30*x)*(-1 + 2 - 3)*(30*x**3 + 1783 - 1783).\nAnswer: 3120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9726324 by 35.\nAnswer: -9726324\/35","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate -1397079 divided by 1.\nAnswer: -1397079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.17606 months?\nAnswer: 0.000348005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -1\/12*c**4 + 0 + 3\/2*c**3 - 2*c + 3\/2*c**2. Let p be -1 + ((-3)\/(-3))\/((-2)\/(-20)). Calculate q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20*(6\/4)\/3. Let x(c) = c**2 - 2*c. Let q be x(4). Suppose 3*n = q*n. Solve n = m + 4*m + v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -2, -5, -5\/24, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -863291, -1726579, -2589869, -3453161, -4316455?\nAnswer: -5179751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 8*f. Let o be y(-5). Let x = 20 - o. Solve x = 3*z + 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1913101.\nAnswer: 1913101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 9. Let u(v) = -v + 8. Let s(p) = -4*b(p) - 6*u(p). Suppose j + 60 = 4*j. Calculate the smallest common multiple of s(-8) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1175)\/(-30) + 3\/(-18). Suppose 3*g - k = -0*g. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233530 and 632830.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 15) to base 4.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:03 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 76\/66 - 4\/(-22). Suppose h - 5*m - 13 = 2*h, -3*h = m + 39. Sort r, 5, h in decreasing order.\nAnswer: 5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 5*z + 1. Let d(g) = g**2 + 4*g + 1. Let m(t) = t**2 + 4*t + 1. Let j(f) = -6*d(f) + 7*m(f). Calculate 4*j(q) - 3*s(q).\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1210*d + 246. Let g be v(5). What is g rounded to the nearest 100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o + 38. What is the remainder when 10 is divided by k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = 9*y + 798. Solve 82 = -8*m + y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564352, -1128691, -1693028, -2257363, -2821696, -3386027, -3950356?\nAnswer: -4514683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9240 and 1663585?\nAnswer: 39926040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s**2 + 27*s - 7. Determine p(-4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.07 (c) -4 (d) 248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*q**5 + 274*q wrt q.\nAnswer: -3160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -209. What is the remainder when c is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-13\/2)))\/z*z**(10\/3))\/((z\/((z\/(z\/(z**(-16)\/z)))\/z*z))\/(z**(-18)\/z*z)) assuming z is positive.\nAnswer: z**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*d**2 - 1 + 3*d**3 - 7*d + 0 + 2*d**4 + 8*d to z*d**3 + j*d**2 + s*d**4 + x + k*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 11102110111?\nAnswer: -11102111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 2*n**7\/35 + 5*n**4\/24 - 11*n**2. Find the second derivative of o(x) wrt x.\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6408009 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lggx when four letters picked without replacement from {o: 2, l: 2, x: 2, g: 6}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001706445 rounded to five decimal places?\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3418000 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*f + 70 = 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4\/871, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (4 - (0 - 41))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -7\/13, -1\/2, 0.068?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*d = d. Let k(l) = -l**3 + 30. Does 7 divide k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -1, 3\/2, 39?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -875.99998767 + 876. Round u to seven dps.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2. Let s(k) be the first derivative of k**5\/60 + k**3\/3 + 1. Let y(r) be the third derivative of s(r). Determine n(y(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v*v**(2\/7))))**(-27)*v**(-5)\/(v**(-2\/17)*v))**47 assuming v is positive.\nAnswer: v**(-378068\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let a = -54 + 59. Let l(p) = p**2 + a*p**2 - 3*p**2 - p**2. Give l(b(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87644 is divided by 12517.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 23*c + 49. Let f be r(-2). Let n(s) = -s**2 + 1. Let v(a) = a**2 - 10*a - 6. Let x be v(10). Let i(d) = -3*d**2 + 2. Give f*i(g) + x*n(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15365401\/174 - -88307. What is the common denominator of u and 14\/8*(0 + -10)?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 6591536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/((-9)\/(-27))*102*(-6)\/(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -2288, -7759, -18412, -35975?\nAnswer: -62176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 9018?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 1018121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -4*q**3 + 5*q**2\/2 + 14. Let l(s) = 101 - 38 - 2*s - 63. Calculate l(p(u)).\nAnswer: 24*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43704 divided by -3.\nAnswer: -14568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912.3989 days to nanoseconds.\nAnswer: 78831264960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2976)\/17112)\/(10\/(-23)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 305*z**2 + 11*z - 3. Let g be p(6). Let s = 56261\/5 - g. Let y = s + -8303\/40. Find the common denominator of y and 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -10*r. Suppose -t + 5*j + 13 = r, -t + 43 = 2*j - j. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdt when three letters picked without replacement from xxjdttxxxtxxdxxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -13\/4, 0.4, -0.0222, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 124. Let a be (20 + 0)*19\/z. Let f = 4 + a. Calculate the highest common divisor of f and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -87*d**2. Let n(i) be the third derivative of 1\/15*i**5 + 0*i**4 + i + 0*i**3 + 19*i**2 + 0. Give n(q(m)).\nAnswer: 30276*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14569160\/9 or -1618797?\nAnswer: -1618797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2524 and 0.03.\nAnswer: 75.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-24))\/((-34)\/1768)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 3) + -4 - 1) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -51*w + 5 - 57*w + 109*w. What is the remainder when 8 is divided by j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5212\/(-14)*141\/(-12). Let i = 4372 - q. Let t = -31587\/710 - 4\/355. What is the common denominator of i and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/50 - (-2)\/(-5). What is the third derivative of -5*p**z - 2*p**2 - 14*p**2 - 29*p**3 wrt p?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 8\/3*r + 8\/3 - 2\/3*r**3 - 2\/3*r**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*p + 3*p**2 - 3*p**2 - 1 + 21*p - p**4 as l*p**3 + x*p**2 + t + v*p + h*p**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -205. Let r = -0.0666 - -110.8666. Let g = b + r. What is g rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*g - 434 = -4*g, 4*b - g - 604 = 0. Suppose 4*u - 70 - b = 0. Let s be u\/20 - (-1)\/4. Solve 1 + 8 = s*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4 - 2\/(-1)). Let a = 0 - -4. What is the common denominator of -77\/10 and w\/a*(-50)\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-12 - -6))*-1. Let u be 8\/q - (16\/6 - 2). Solve u*i + 8 = 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 - 17*z - 25. Let q be a(-7). What is the second smallest value in q, 5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5*10\/350)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148618 and 4978.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*r - 10, 1 + 13 = 3*s + 5*r. Let d be (2\/8*0)\/s. Let y be -4 + (d\/2)\/2. Sort 4, -6, y in decreasing order.\nAnswer: 4, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10341 + 322524?\nAnswer: 312153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (29 - (-1 - -20))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -p + 56, -5 = 2*p + 3. Let y = z - -14. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3631276910 to the nearest 100000.\nAnswer: -3631300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5.243, 1, 0.19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(((-29)\/48)\/29)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -497*q**4*u**3 - 32*q**4*u**2 + 1474*q**2*u**2 + u**3 wrt q?\nAnswer: -11928*q*u**3 - 768*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/6 or 0.2?\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-10)\/15))\/(84\/16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -9*c + 232, -19907*c + 4*y + 79 = -19904*c + 5*y for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 29 - (19 + -5 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-1 - 0)*1). Suppose 346 = -5*l - 4*s, 3*l + 5*s = 6*l + 178. Let n = -64 - l. Solve 2 = -n*a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -135. Let p(f) = -3*f - 6. Let z be p(-6). Suppose -10*m = -b*m - z. Solve -4 = -2*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + (-74 - -141) - 35.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1271 (base 8) to base 14.\nAnswer: -37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 505271593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, u: 5}. Give prob of sequence uuu.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b - 6. Let m be k(6). Let u = 6 + m. Suppose v + c - 8 = u, 4*v - 38 + 6 = -3*c. What is the least common multiple of v and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -14.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 1 + 0*p**2 + 0*p**2 + 2*p**2)*(4*p**3 - 4*p**3 - 3*p**3).\nAnswer: -6*p**5 - 18*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l + 3*x = 34*l - 38, -3*l - 2*x = 27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(111\/(-36) - -3). Let n = 16 - 67. Let y = z - n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 3.99\nAnswer: 23.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1898 + 1859 = 13*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234708, -469412, -704116, -938820?\nAnswer: -1173524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 3 + 1 - 4. Let d(t) = 41*t**3 + 1. Let a be d(1). Let s(h) = h**2 - 42*h + a*h. Determine v(s(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.197 or -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499 - 142 = -21*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -143, -10, -3\/7.\nAnswer: -143, -10, -2\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*t = 316*t + 12*c - 6, -33 = 4*t + 9*c for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.05, 0.8, -0.03728 in increasing order.\nAnswer: -1, -0.05, -0.03728, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*u + 190 = 0, -302 - 128 = 5*c - 4*u. Let k = c - -132. Let j(q) = -4*q - 34. What is the remainder when k is divided by j(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148394.6 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**2 - 30*a + 5. Let o(m) = -5*m**2 - 15*m + 3. Let w(d) = 5*o(d) - 3*r(d). Factor w(q).\nAnswer: 5*q*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1073 - -1084.22. Let n = p - 0.22. Let z = n - 11.3. What is the second biggest value in z, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654.39 less than 1942?\nAnswer: 2596.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does -343 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-120)\/50) - (1389901\/(-9780) + 6\/10). Find x, given that -138338\/15*x**2 - 8\/15 - a*x = 0.\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-14))\/((-2)\/(-14)*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307931763 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27981 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8244009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 9*j = -2*y + 15, -3*j = 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*w**2 - 33 + 33 + w)*(0 + 2 + 3)*(61*w**2 - 60*w**2 + 2 - 4) to the form h*w + s + c*w**4 + u*w**2 + r*w**3 and give u.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 12*l**3 - 44*l**2 - 48*l.\nAnswer: -l*(l + 2)*(l + 4)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -112288169.\nAnswer: 4\/112288169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4486 + -1)\/(18 + -19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695 + 671 = 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.283? (a) 1\/4 (b) -0.3 (c) 3 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -25927.\nAnswer: 12963.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**4\/2 + 7*r**2\/2 - 7*r - 949. Let f(g) = -g**3 - 4*g + 4. Let v = 32 - 21. Give v*f(m) + 6*h(m).\nAnswer: m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 50. Suppose 10 = v - 3*n, -2*v + 4*v + o*n - 64 = 0. Suppose -w - v = -40. Calculate the lowest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 5.189?\nAnswer: -0.10378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 11*l - 45. What are the prime factors of -3 - ((-1132)\/l - 16\/48)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: da04 (base 14) to base 13\nAnswer: 14191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 165 = -5. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.6, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34688184 divided by -5781364?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 218497505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 633242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -167.99819. Round h to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 - 3*d - 4. Let a be f(-3). Let b be 3\/(9\/(-3)) - -15. Let h be b\/10 - 8\/20. Solve -a*l = 15, -h = 3*v + 5*l + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 3 = -5*p, 5*g = -2*p + 5. Let j be ((-4)\/5)\/(p + (-2)\/(-15)). What is the closest to 0 in -0.3, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106.4 and 13.3?\nAnswer: 1415.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqqcssssqsaqqsmqq. Give prob of sequence sa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 2*r**2 - 49*r + 110. Calculate u(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.69 - -2.61. Let g = q + -61.3. Let w = g + 57.9999937. What is w rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 3, 25, 67, 135, 235?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times 5?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -6, 0.3, -0.232, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1644196*x + 556099 wrt x.\nAnswer: -1644196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 9 + 12 - 265*n - 407*n.\nAnswer: -672*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.49 - -6.5626. Let y = i + -0.084. What is y rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 2*c**3\/3 + 3*c**2 - 2*c - 32. Let b(p) = 3*p + 5. What is 6*b(i) - 5*j(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 833*m + 55648. Calculate o(-112).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40019115 and -26.9?\nAnswer: 40019088.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {r: 3, e: 6, v: 6}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 6*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57005*r - 15053*r - 19364*r.\nAnswer: -91422*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 - 7*u + 1 + 0*u**3 + 6*u**2 - 3*u**3. Suppose -o - o - 14 = 0. What is the remainder when h(o) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -313, -308?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1. Let c(j) = 9*j**2 + 12*j + 2. Let n(u) = c(u) - 2*i(u). Let r(f) = f**2 + f. Suppose -26 = 3*p + x + 6, 5*x = 4*p + 68. Determine p*r(q) + n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3366\/4950 - (1 - (-23)\/(-25)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbxbxcx. Give prob of sequence bx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)\/n*n**(-2))\/(n*n**(-1))**(-4\/15))\/((n**(-1\/4)*n\/n**4)\/(n**(-2\/3))**(1\/13)) assuming n is positive.\nAnswer: n**(-47\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -26*t. Let f be m(-1). Let h be (f\/(-6))\/(3\/(-9)). Suppose 0 = -8*k - 6 + 14. Solve -4*r = h - k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175291949 rounded to the nearest 100000?\nAnswer: 175300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -435724 or -435723?\nAnswer: -435723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3301 and 182277919?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 - 448*a**3 - 25328*a**2 - 483072*a - 2080800 = 0.\nAnswer: -150, -34, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 227883570 to the power of 1\/2, to the nearest integer?\nAnswer: 15096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/42)\/(2\/(-182))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:28 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 9. Let y(b) = -6*b - 8. What is -5*s(w) + 6*y(w)?\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**1*t*t*t**6*(t**(2\/9))**(-29) assuming t is positive.\nAnswer: t**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 57. Let y be 0*((-65)\/10 + 6). What is the closest to f in 1, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1104503434208 and -0.3?\nAnswer: 1104503434208.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 104 - 12*s)*(-2*s - s + 7*s)*(32*s**2 + 9*s**2 + 13*s**2).\nAnswer: -2592*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662734?\nAnswer: 2, 331367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8999 by -3.\nAnswer: -8999\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3085\/21497 - 2\/3071. Which is smaller: d or -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194564 divided by -127.\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 80.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-8)*281\/((-124764)\/1184).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -375, -758, -1141, -1524, -1907, -2290?\n\"Answer: -383*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/2)\/((-16)\/(-32)). What is the highest common divisor of i and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224380051 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9503308*s**4 + 17796926*s**2?\nAnswer: -228079392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**4 + 20*n**3 + 36*n**2 + 28*n + 8 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1314 and 334648863.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ssszszzsss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2. Let z(l) = 1380*l. What is t(z(p))?\nAnswer: -7617600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -31. Let c(t) = -t + 14. Let u be c(v). Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 180 and 180 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 9802?\nAnswer: -5\/4901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 4)\/(-3 - -1). Suppose 5*g - 10 = w, 5*d - 5*g + g = 52. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176264057 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**2 - 9*l**2 - 2*l**2. Let i(x) = 31*x + 8. Let k(b) = 85*b + 22. Let o(q) = 11*i(q) - 4*k(q). Calculate o(y(u)).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 + 5*b**6 + b**6 + 9*b**2 - 6*b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:14 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -148*i**3 + 38*i**2 - 55*i - 19. Let k(f) = -25*f**3 + 6*f**2 - 9*f - 3. Give 38*k(s) - 6*l(s).\nAnswer: -62*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 6094 + 49452*n - 3530*n**2 - 60252*n - 1531 - 360*n**3.\nAnswer: -5*(n + 1)*(n + 5)**2*(n + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1276247 * 98.\nAnswer: 125072206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -746448*t**2 - 475221*t?\nAnswer: -1492896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630768983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.3 (c) 0.5 (d) 1543 (e) 0 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -15*t - 11. What is h(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 151. Which is bigger: h or -2\/159?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Let z(b) = -b**2 - 2. Suppose l + 5*r - 18 = -3*l, l - r = 0. Let u be (l\/(-8) + 21\/(-28))*1. Determine u*f(a) + z(a).\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (31 + -49) - (1 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 14533584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1651 and 77675?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 11*u**2\/2 + 2. Let r(m) = -m - 6*m + 7*m - m**2. What is r(f(v))?\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - 7) + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*s, 2*x = 2*s - 0 - 16. What is the units digit of (x\/(-5))\/((-2)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -q + 55692. Let u = 7083 + q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -8*b + 365. Let y = 575 + b. List the prime factors of y.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/((w\/w**14*w)\/w*w))\/w)\/w)\/w*w**9*(w*w**(-16)\/w)\/(w\/(w\/w**(12\/11))))**(-22) assuming w is positive.\nAnswer: w**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4 - 4 + 10*g**2 - 8*g + 7*g + 6. Calculate the remainder when 25 is divided by a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2 - 3)*(-5*n**2 + 5*n**2 + 4*n**3).\nAnswer: 4*n**4 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhhwhhwwhhhhhhhww. What is prob of sequence hwh?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32092, 32076, 32060?\n\"Answer: -16*l + 32108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/192? (a) 2\/5 (b) 21 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 7, -0.1, 2\/7, -208?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -17, -4, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + t**3 + 4*t**3)*(2*t**2 + 23*t + 70 - 48*t + 23*t).\nAnswer: 4*t**5 - 4*t**4 + 140*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 16) to base 8.\nAnswer: -1047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -346 + 22. What is the units digit of i\/(-42) + 4\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.52 - 1.6. Let t = -0.0759 - l. What is t rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let q(o) = -o**2 - 3. Let r(g) = 4*g**2 + 11. Let v(x) = -22*q(x) - 6*r(x). Give u(v(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20352*i + 20357*i = -5*z + 35, 20 = 5*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c. Let i(z) = z. Let x(g) = 4*i(g) + 2*m(g). Let v(s) = 5*s. Let k be v(3). Let y(h) = 15 - k + h. Calculate y(x(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.2 - 25.1. Which is bigger: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 5*q**2 - 5*q + 3. Suppose 4*r + 20 = 2*c, -2*r - 14 = -4*c + 5*c. Let g be t(r). What is the hundreds digit of 159 + 10\/g*42\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(3 + ((sqrt(20)\/sqrt(4))**2 + -1 + ((sqrt(70)\/sqrt(2))\/sqrt(7))**2 - sqrt(40)\/(sqrt(32)*-2))))*-6.\nAnswer: -276 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 55.04. Let z = -0.46 + l. Let n = 2.99 - -0.01. What is the nearest to -0.4 in z, -0.2, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose x*p = 5*p. What is the units digit of 6 - (p + -2 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjoo when four letters picked without replacement from bfjjjjoojjf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -4*t + 354. Let u(b) = -b**3 + 6*b**2 - 2*b - 5. Let x be u(5). What is the highest common divisor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17709113 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/20814 and -68\/63.\nAnswer: 437094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 998719.8 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*h + 112, h = -6*w + w + 198. Calculate the lowest common multiple of 40 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1608*k - 196724. Determine w(-122).\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 141 (b) 0 (c) 2\/19 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-8 - 4) + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 702 + -27376\/39. Which is the third biggest value? (a) -2 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4686\/1319 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:52 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/8 - 993*b**2\/8 + 6609*b\/2 - 12231\/2.\nAnswer: 3*(b - 302)*(b - 27)*(b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-171)\/(-19))\/(9\/1302).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666.0885t in nanograms?\nAnswer: 666088500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from wyddzwddd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67.46788km?\nAnswer: 6746788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10858 + -4295?\nAnswer: a5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 447442 and 4.\nAnswer: 894884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n. Suppose -o + 60 = 3*h + 82, 4*o = 4*h - 56. Let m(t) = 36*t. Calculate o*i(w) + 3*m(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 585 and 39?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -41*a + 11514. Give s(281).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62.280415597417 and 0.1.\nAnswer: 62.380415597417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079406?\nAnswer: 2, 3, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6812 and 11791048?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*j + y + 40, -73 = -5*j + 4*y. Let r = j + 3. Calculate the remainder when 39 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 12) in base 4?\nAnswer: 12302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -1, -3.2, 3, -6, -1\/29 in descending order.\nAnswer: 174, 3, -1\/29, -1, -3.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-30)*((-10500)\/(-45))\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-102)*(-96)\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*33\/88*(-1)\/(14\/8).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/20*2\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -901 + 901.0000533. What is f rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 30*w**3 + 3*w**2 + 11. Let j(o) = 31*o**3 + 4*o**2 + 11. Let a(k) = -3*j(k) + 4*q(k). Differentiate a(r) wrt r.\nAnswer: 81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 19 - 15 = 0. Suppose 2 = -5*k + z. Let d(t) = -t**2 + 4*t - 4. Determine d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451 (base 6) to base 15.\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 8. Let a(o) = -2*o**2 + 18. Let i(f) = 4*a(f) - 9*l(f). Let n(t) = -83*t**2. Determine n(i(d)).\nAnswer: -83*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 494 + -575. Sort -0.1, z, 0.5.\nAnswer: z, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.713426 millennia?\nAnswer: 20561.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3145173780 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/3, 1409, -31261?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3328, -3, -4, -5, -108 in decreasing order.\nAnswer: -3, -4, -5, -108, -3328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*o + 1 = 0, 4*c = o - 5*o - 20. Let u = 6 + c. Find the third derivative of u*x**6 + 2*x**2 - x**4 - 2*x**4 + 3*x**4 wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20311254*c**2 + 57263919 wrt c?\nAnswer: 40622508*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 19*g**2 + 3*g + 19. Is r(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1445*t**4\/6 + 78965*t**3\/3 + 4259105*t**2\/6 - 510950*t + 90750 = 0.\nAnswer: -55, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, 9679, 0.03, -1\/3, -10, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/24*(15619 + 3). Suppose 7*l + 3*j + 39029 = 12*l, 2*j = -l + g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6, -5*o = -3*j + 8 + 1. Suppose 5*g + t + o = 28, -20 = -3*g + t. Solve 2*n - g = -14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (58 + -35 - 25) + 26\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*f - 19, 2*h + 5*f - f = -18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12046 + -12043. Which is the fourth smallest value? (a) -73 (b) 0.1 (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by -1?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23885601, -47771204, -71656807, -95542410, -119428013?\nAnswer: -143313616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y + 5*y + 23*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + y**3 - y**3)*(2 - 2*y - 2) + (y - 6*y + 2*y)*(-151 + 5*y**4 + y**3 + 151).\nAnswer: -19*y**5 - 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -358, -355?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -672 + 672 + 147*k + 5*k - 4*k + k + (-k + 4 - 4)*(3 - 1 - 1) + 0*k + 2*k + 0*k to the form a + w*k and give w.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 77, -10 in descending order.\nAnswer: 77, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44315701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvggkgcksg. What is prob of picking 2 g and 1 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 14*m + 38. Let z be d(11). What is the second biggest value in z, 1\/5, -1\/3, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 732984 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 58. Let w be y(-20). Let f = w + 101. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482052 is divided by 2433.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (14\/(-6)*-1)\/(4\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 2*h**2 + 1. Let x(g) = -g - 7. Let i be x(-12). Suppose 3*l = q - 14, 3*q + 23 = 5*q - i*l. Let y be v(q). Solve 4*u + 14 + 2 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58700 (base 11) to base 16\nAnswer: 14adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171663254 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(3) + sqrt(3) + -3 + (2*sqrt(3) + 1 + sqrt(3))**2)*3.\nAnswer: -324 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 1 + 16. Solve 3*g - u = -16, g + 4*u - 2 = -f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4 - 7 - 9 + z. Let u be ((-126)\/(-30))\/((-1)\/(-5)). Calculate the lowest common multiple of 11 and c(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252585 divided by 139?\nAnswer: 252585\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/27 - 43\/297. Is 2\/7 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/1020 + w**5\/255 + 7*w**4\/204 + 4*w**3\/51 - 14*w**2. Determine h, given that f(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427000898 to the power of 1\/2, to the nearest integer?\nAnswer: 58541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (39 - 106)) + -23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-141)\/329 + (-23201)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90, -95, -106, -123?\n\"Answer: -3*w**2 + 4*w - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d. Let r(v) = 9*v. Calculate -3*m(z) - 5*r(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*q - 11 = 0, 5*q - 8*q = -3*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4043374 to the power of 1\/2, to the nearest integer?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 203734*j - 5297095. What is c(26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxynyynmmnxxnymmxy. What is prob of sequence ymy?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*t + 3318928 - 927646. What are the prime factors of t?\nAnswer: 3, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 38 = g + 7, 0 = 2*g + d - 17. Suppose -g*o + 5858 = 3*u - o, 4 = -2*o. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-7))\/(1766\/6181)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 h when four letters picked without replacement from {h: 3, w: 2, s: 2, r: 2, e: 1, p: 4}.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635198.\nAnswer: 2, 3, 272533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3*11\/33. Let a be t*627*(-3)\/(-9). Suppose -5*m - a = 3*o - 558, o + 65 = m. What is the highest common divisor of 170 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74526 times 1\nAnswer: -74526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*v = -66, p + 2*v = -4*p + 165. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 58030 and -0.1.\nAnswer: 58029.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 420386 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20597130 or -20597135?\nAnswer: -20597135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236521692 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/(-48))\/((75\/18)\/25).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 26*j + 39. Let i be u(-14). Solve 1 = -2*p - 4*s + i, 4*p = -2*s + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 - 6) + (-3)\/((-15)\/(-10)). Let d be l*(852\/(-1530) + 6\/15). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34130 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a8 + -1?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38622 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1218607 - 13?\nAnswer: 1218594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 13*f**2 + 17*f**2 + 0 in the form h + j*f**2 + w*f and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013364 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, -4, -1 in increasing order.\nAnswer: -23, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 111814.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = 0. Suppose -2 + d = 2*k. Let n = k - -8. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1\/5 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -181 in decreasing order.\nAnswer: 4, -17, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 3*j**2. Let r be m(0). Let i(v) = v**2 + v + 77. Let k be i(r). Let a = 80 - k. Let q(p) = -p**3 + 3*p**2 - 2*p - 2. Determine q(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 944, 1992, 3732, 6164, 9288?\n\"Answer: 346*z**2 + 10*z + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*v + 2*o, v = -16*o + 19*o - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 + y**4\/3 + 5*y**3\/6 + 7*y**2\/2 + 3*y. Let o be w(5). Calculate the highest common divisor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-18))\/(3\/((-6)\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 10*u - 163. Suppose 3*h + 2*w - u*w - 288 = 0, 5*h - 4*w - 480 = 0. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*3\/(-132))\/((-70)\/(-154))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12947671 is divided by 6473743.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 150015, 299834, 449663, 599502?\n\"Answer: 5*d**2 + 149804*d + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -716 in ascending order.\nAnswer: -716, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363984?\nAnswer: 2, 3, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -578.99 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -2.2. Let r = 7 + -5. Suppose 0 = 4*x - v + 8, -v + 2*v = 4. Which is the biggest value? (a) x (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n - 5. Let d(v) = -3*v - 1 + 5 - 2. Let w(x) = x**2 + 25*x + 118. Let r be w(-19). Give r*a(s) + 11*d(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*q - 3*q - 85, 12 = 4*q. Let k = -4 - -2. Is j - ((-1 - k) + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2096 and -127\/57680?\nAnswer: 7556080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*j + 2 - 3*j + 5*j - j + (-2 + 4 - 4)*(-j - j + 0*j) - j - 2*j + 0*j to the form v + s*j and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 1\/9, 3, -49, 3\/8, 415?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -23. Suppose -k*q = -0*q - 50. Let i(s) = -s**3 + 11*s**2 - 5*s - 6. Does 12 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/11193 and 88\/183393.\nAnswer: 2384109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 - 6 - (-1 - 2). Let a = 75 + -73. Suppose 4*z - 73 = 5*x, x = 2*z + a*x - 19. Do s and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 - 0.29. Let w = f + 5.11. Let s = w - 5.2. Put 5, -1, s in descending order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 179*b - 519. What is the hundreds digit of s(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 3*s. Suppose 0 = -6*i + s*i + 48. Suppose 0 = -4*b - i, 10*q = 5*q + 5*b + 37000020. Round q to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606 = z - 5*x, -2*x + 1164 = 3*z - z. What are the prime factors of z?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (114\/(-5))\/(9\/(-45)) - -1.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7) - sqrt(448)*-2))**2.\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -13. Which is the biggest value? (a) 3\/5 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w - 9. Let z(p) = -12*p + 10. Let h(t) = -5*f(t) - 6*z(t). Suppose 0 = 2*m + 3*m - 50. Is h(m) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/9 - 142*x**4\/3 - 7490*x**3\/3 + 22898*x**2\/9 = 0.\nAnswer: -107, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1512359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95596 is divided by 1610?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 12. Let b(v) = 16*v**2 - 4*v. Let n be b(6). Is (-2)\/11 - n\/j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2949038627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 19 = -37 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87530517?\nAnswer: 3, 433, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 + 6*z + 1 + 23*z**2 + 0*z**2 - 4*z**2. Let r be x(-2). Suppose -3*q + r + 146 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83562 - 1542966.\nAnswer: -1626528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6679379 is divided by 143?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**3 + a + 2. Let u be i(-1). What is the greatest common factor of 48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906645.\nAnswer: 5, 13, 29333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.502 - -0.102. What is the nearest to 1 in -0.3, s, 58\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 times -0.040563?\nAnswer: -0.1095201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 535473763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*g - 65*g - 23 + 122 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.4, -1\/11, -15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816156 divided by -5?\nAnswer: -2816156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10058874 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: Is 361141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 3*l**4 - 5*l**4 + (433*l + 376*l**3 - 433*l)*(3*l - 6*l + 4*l).\nAnswer: 377*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1715*g + 6*g**2 + g**2 + 91*g**5 + 1707*g wrt g.\nAnswer: 5460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 = -4*y, 8*c - 3*c - 16 = -y. Suppose 4*p = -c*f + 40, -14*f + 20 = -12*f - 3*p. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-7))*l**(7\/4)*l assuming l is positive.\nAnswer: l**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -39 - 289*q - 283*q + 556*q - 54. Let m be c(-6). Solve 0 = -2*z + z + 2, m*x - 4*z + 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b318 (base 12) to base 5.\nAnswer: -2241241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 404014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2786 divided by -129\nAnswer: 2786\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 6. Let y(k) = 3*k - 3. Let w(v) = -4*v + 4. Give q*y(l) + 5*w(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161 + -31. Suppose 6*t - y = t. Solve 5*w + o + 1 = -3*o, -5*o - t = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.03187?\nAnswer: -0.003187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 347, -8, -2, 1, 4 in decreasing order.\nAnswer: 347, 4, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990720 and 495360.\nAnswer: 990720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:52 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:41 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440001256 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q - 10*q**2 - 7*q - q**3 - q. Let v be l(-8). Let x(d) = -2*d + v*d + 2 + 3*d. Give x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - 1931b3?\nAnswer: -193186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:44 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = 0, -2*s + 2*k = -3*s + 22. Let n be (-4)\/s - 12\/(-42). Solve -4*f = -j, n = -2*j - 0*j + 5*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/6)\/9*-1*11\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (34 + -11 - 9) + (2 - 9) - -7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 44*g - 160. Calculate o(-19).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 69*v**3 - v + 1. Let i be z(1). Let u = 643 - 597. What is the highest common divisor of u and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*-7 + (-28)\/14. What is the second derivative of -14*f**i + 53*f**5 - 2 - 17*f + 2 wrt f?\nAnswer: 780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + -0.48. Let b = -1.64 - w. Let z = b - -4.6. What is z rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 111 + 129. What is the highest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58483*j + 5*j**2 + 63256*j - 117976*j.\nAnswer: 5*j**2 + 3763*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*q - 28, 4*q + 2*i - 109 = -3. Calculate the greatest common divisor of q and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Does 12 divide (x + -6)\/((-1)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let g = -16 + 20. What is the nearest to v in 1\/2, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.7 (c) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-32)\/528*(-18)\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -88*g + 65. Let c be m(3). Let z = c + 208. Calculate the lowest common multiple of 2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 7:38 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1397 + 3999 + 3789 - 2792 + 4600)*(3*k + 0*k + 0*k).\nAnswer: 24597*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-88)*-200*(-28)\/(-35).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/40368 and -143\/72.\nAnswer: 121104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 161\/(-69)*(-2)\/(-7). Which is the closest to -1? (a) x (b) 13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 11. Let b be c(5). Let t = b - 8. Let k be -200000*t\/(2\/13). What is k rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/23? (a) -5 (b) 3.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -7, 1580 in decreasing order.\nAnswer: 1580, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53416 (b) 13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, k: 15}. What is prob of picking 3 k?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 14703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*h - 16 = -3*n, 9 = -3*h. Let p = -320 + 83. Is (-2 - n\/(-6))*p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9905*o**2 + 19*o + 151. Let p(g) = 3302*g**2 + 5*g + 51. Let i(n) = 8*p(n) - 3*t(n). What is the second derivative of i(s) wrt s?\nAnswer: -6598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 192 (b) -1\/81 (c) 3 (d) -3\/5 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 2952?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5\/15 + 2*n**4\/5 + 82*n**3\/15 + 14*n**2 + 208*n\/15 + 24\/5 = 0.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 15?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 2*x)*(2 + 0 - 1)*(0*x + 17*x - 5*x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(6*f - f + 0*f)*(-6*f**2 - f**2 - 3*f**2).\nAnswer: -50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 296767 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 9*a - 13. Let d = 3294.959 + -3298. Let n = d - -0.041. Sort 2\/13, a, n, -0.06.\nAnswer: n, a, -0.06, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r**(-2\/3)*r**(-2\/17)*r**7)**(6\/13) assuming r is positive.\nAnswer: r**(1834\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000211678856 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 790 and 560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by 137472.\nAnswer: -109\/137472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from owdhowses.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 105*l + 2647. Give k(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1509 - 2.8491. Which is the closest to 0? (a) r (b) 0.2 (c) -47 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 13*w**2 - 36*w - 20. What is s(12)?\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*f - 7735 = 532, -4*n = 5*f - 33098. List the prime factors of n.\nAnswer: 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 + 18*g + 5 - 14*g - g**2 - 14 + 6. Let x(o) = 2*o**2 - 6*o + 1. Let p(v) = 3*w(v) + 2*x(v). Determine p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 412 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 22. Calculate the lowest common multiple of 12 and y(0).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, -0.12, 2\/25, 22 in increasing order.\nAnswer: -0.12, -2\/37, 2\/25, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - q = -6, 3*t - 9 = -4*q - 23. Let w be 2 + (t - -1) + (-2 - -190). What is the highest common factor of w and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 26*g + 9 = -s, -13 = 2*g + s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 10:51 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 + h. Let x be b(-1). Suppose -15*t**x + 3*t**3 - 12 - 21*t**2 + 18*t**2 + 27*t = 0. Calculate t.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 14. Let v be w(12). Let s(k) = k**3 - 6*k**2 - 6*k + 5. Calculate the remainder when s(7) is divided by (10\/(-2))\/(v\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3*n + n**3 - 3*n - 3 + 0*n**3 + n. Differentiate m(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 22*r**2 - 3*r - 8. Give j(-3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20\/h*h*h\/(h*h**(-2\/47)))\/(h*h**(-1\/39)*h*h**(-9)*h*h) assuming h is positive.\nAnswer: h**(45950\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -74. Let m = 2 + -5. Put y, m, -5\/2 in increasing order.\nAnswer: m, -5\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1243 - 672. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*j - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -20, -6 in decreasing order.\nAnswer: 1\/2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501691865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 11*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -25. Let b(l) = -l**3 + 2*l**2 + 2*l + 7. Let s be b(o). Let k(j) = -2*j + 11 - s*j - 12. Determine k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 2401, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338 + 415. What is the remainder when i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 22. Suppose 4*r - 2*h - 122 = 0, -43 = -2*r - d*h - 12. Let w = 36 - r. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855742383.\nAnswer: 3, 31, 127, 24151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 21) - (31 + -16 + -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Let d(u) = -u**2 - f*u**2 + u**2. Let j(b) be the second derivative of -b**3\/6 - 1221*b. Determine d(j(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 36*d**2 + 5. Let j(t) = t**2 - 1. Let h(v) = 4*j(v) + w(v). Let c be h(-1). Let g = c - 23. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxqjxj. What is prob of picking 1 q, 2 x, and 1 j?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -14, -15, -28, -59, -114, -199, -320?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/5 + 2803*z**2\/5 + 489896*z + 630475056\/5 = 0. Calculate z.\nAnswer: -1172, -459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - -22411382.\nAnswer: 22411442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12802705 to the nearest integer?\nAnswer: 3578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-27))**(-15)\/((w\/((w\/(w*w*w*w**30*w)*w)\/w*w))\/(w\/w**(-9)*w)) assuming w is positive.\nAnswer: w**383","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7)**(-33\/4)\/((v\/(v\/v**(-8\/3))*v*v)\/(v*v**22*v)) assuming v is positive.\nAnswer: v**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3858 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**3*u**2 + 10958605*a**3*u - a**3 + 79543*a**2 + 708*u**2 - u wrt a.\nAnswer: -18*u**2 + 65751630*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = -2*f - 16, -2*i + 4*f = -14. Let n be (-5)\/i + (-2)\/(-6). Let r be (-1480)\/(-18) - n\/9. What is the greatest common factor of 205 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460034?\nAnswer: 2, 3, 29, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**2 - 2*j**2 + 2*j**2)*(-j**2 - 1 - j**2 + 2) as m*j**3 + h + p*j**4 + s*j + y*j**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -36.4. Do -0.1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.881107 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1773 - 121 = 0. Suppose 2*s + 4*c - r = 0, 1227 = 3*s + 6*c - 4*c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*b = -3, 2*v - 10 = -4*b + 20. Calculate the highest common factor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 198, 395, 592, 789, 986?\n\"Answer: 197*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(7))\/sqrt(5) - sqrt(11) - (sqrt(11) - (2 + 2*sqrt(11))**2).\nAnswer: 7*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -2*m - 5*m. Calculate the remainder when 104 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {p: 1, n: 1, u: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2248 - 72?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4775.205 years?\nAnswer: 4.775205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1531 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 308148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17287 is divided by 8637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 29. Suppose 4*t = l*t - 3. Solve -t*z = 3*j + 27, j + 5*z + 1 = -24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206*f + 152*f - 89*f + 1)*(2*f - 2*f + 2*f).\nAnswer: 538*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -402747874 rounded to the nearest one million?\nAnswer: -403000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 5*n + 5*n + 0 - n + 0 - 2*n - 2*n + 7*n + (-1 + 1 + n)*(-1 + 2 + 1).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*x = 0, -3*j + 0*j = -3*x. Let f be j + 6 - (2 + 0). What is the common denominator of -59\/4 and 97\/(-4) + -5 + f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3913 + 4309. Calculate the greatest common factor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 327. Let o be q(62). Solve 101 - o = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -4019402339?\nAnswer: -4019402338.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7689 in -2\/7, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2)*-1 + 5 - -6*sqrt(2)*-1) + 0 + sqrt(4)\/sqrt(2)*-3)**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, 5 in increasing order.\nAnswer: -29, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-810)\/(-24) - (-24)\/(-32). Suppose 25 = -u + b. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.874 + -40. Let m = 0.12411 + w. Round m to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -82*u**3 - 4*u**2 + u + 67. Let c(j) = -246*j**3 - 11*j**2 + 2*j + 182. What is 4*c(v) - 11*x(v)?\nAnswer: -82*v**3 - 3*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 386872.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 128518 * -0.4234\nAnswer: -54414.5212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 0*q - 8 + 3. Let p(k) = 9*k**2 - k + 3. Let b be p(1). Let l(d) = -14*d - 14. Calculate b*f(x) - 4*l(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 348101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*3)\/sqrt(11) + 5.\nAnswer: 5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37555 (base 9) to base 8.\nAnswer: 61231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7270 or -7269?\nAnswer: -7269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5) - 169\/(-65). Let o be 12 - (t\/(-2) - -1*2). Solve -o + 1 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 4*p**2 + 4*p - 2. Let j(q) be the third derivative of q**6\/30 + 13*q**5\/60 - 13*q**4\/24 + 7*q**3\/6 - 15*q**2. Determine -7*f(h) - 2*j(h).\nAnswer: -h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*r + 11 + 742*r + 37 - 47.\nAnswer: 1244*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264 or -2\/27639?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 556\/15 + -142\/5. Find the common denominator of 4\/7 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**26*n*n**(4\/9))\/((n\/(n*n*(n*n**(14\/5)\/n)\/n*n)*n)\/n*(n**(1\/2)*n)\/n) assuming n is positive.\nAnswer: n**(2767\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - t - 1822, 3*r - 2*t - 2*t - 1360 = 0. What is the remainder when r is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o - 40. Let d(x) = 3*x + 14. Give -5*a(p) - 14*d(p).\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n)*(3*n**2 + 9*n**2 - 13*n**2 - 2).\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 72 = 3*c, -3*c - 2*x - 81 = -6*c. Suppose 11*s + c - 135 = 0. Let w be (-517)\/(-55) - (-6)\/s. Calculate the greatest common divisor of 70 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3\/2*g**2 + 0*g + 4. Determine o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = -2*k. Let i(l) = -l**3 - 73*l**2 - 263*l + 898. Let y be i(-69). Sort y, 2, 15, k in descending order.\nAnswer: 15, 2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292 - -301. Suppose -2*c + x = -5*c. Let v(g) = -6*g**2 - 2*g + 4. Calculate v(c).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/7*14\/(-4). Suppose -y*i + 23 = n - 91, -593 = -5*n + 3*i. What are the prime factors of n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5943, -11953, -18011, -24117?\nAnswer: -30271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 7. Let f be v(9). Let s(g) = -1 + g**2 - 2 + f + g. Suppose 0*z - 2 = 2*z. Let n(u) = 6*u**2 + 7*u - 7. Give z*n(m) + 5*s(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 39. Let v be (-78)\/4*(48\/9)\/p. Is -1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4 - 2495*i**3 - 25565*i**2 + 58595*i - 30540 = 0. What is i?\nAnswer: -12, 1, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 - -0.17. Is o > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - x = -5, 5*t + 26 = 5*x + 1. Which is the nearest to t? (a) -1 (b) -4\/7 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3508.8995 and 0.0657.\nAnswer: -3508.8338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*k = 42, -673*t = -677*t - k + 51 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-36) + (2 - 26\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*(-1455)\/(-582)*(-5)\/150?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23726 and 138.\nAnswer: 3274188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2. Let n be z(-2). Does 12 divide 2 + -3 - (-79 - 3) - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*a + 34, 2*a + 22 = 2*p - 0*p. Let i = 37 + a. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12881 + 12884. Which is the third biggest value? (a) q (b) 27\/5 (c) 0.1 (d) -3 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 337767.9mg?\nAnswer: 0.0003377679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*g - 189*g - 184*g + 3.\nAnswer: -170*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 - 17*v**2 - 9*v + 31. Let k be r(6). What is the highest common factor of 611 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**2 - 19*j - 1. Let f(m) = 3*m**2 - 5*m. Let x(q) = 9*f(q) - 2*y(q). Let h be x(7). Let n(i) = i**2. What are the prime factors of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x - 20. Let q be -1 + ((-7)\/49)\/(1\/x). What is the second biggest value in q, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 - (8 - 11)\/(75\/575)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 16) to base 3.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73 and 0.25?\nAnswer: 72.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v - 4. Let r = 12 - 12. Solve w - 2 - v = r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317728.3 decades to millennia.\nAnswer: 3177.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.00658 and -0.4?\nAnswer: 0.39342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 1, t: 3}. What is prob of sequence twy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - d - 2*d = 0, -5*d = -4*s. Suppose -j - n - 2 = -4, 2*n = -j - 2. Let y be s*(1 + j\/(-4)). Let b(f) = f - 6. Give b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41620 + 41624. Let u be (-2)\/(-6) + (-5)\/(-3). Solve 2*s = 2*w, -w + u*w = -p*s - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkkmmmkmm. Give prob of picking 3 m.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - o**3 - 7*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 3*f**2 - 2*f + 2 - 4*f**2 - 9*f**2. Let u(t) = -t**2 + t - 1. Let c(q) = 2*u(q) + y(q). Let h(r) = 2*r. Determine c(h(p)).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36283.88873 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.4 (c) 0.3 (d) 1945 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = b + 5*q - 12, -5*b + 14 = 3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 5*q**3 + 4*q**2 + 55 - 29*q**3 - 57 to the form p + o*q**3 + r*q**2 + z*q and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1205.5 + -1205. What is the closest to -1\/2 in -7, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 + 7*r**2 + 11*r - 80. List the prime factors of l(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p - 19. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 - 60103*t + 60103*t.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27876 is divided by 781?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-18) + (-2)\/(-9). Suppose 10*i - 15*i + 45 = d. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3343, -3338, -3331, -3322?\nAnswer: -3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/45625 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 4*n**2 - 2*n**2)*(10 + 12 - 2)*(5 - 10*n - 5).\nAnswer: -400*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9625 and 689150?\nAnswer: 3445750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o. Suppose -245 = 6*k + 151. Let b be k\/(-54) + (-2)\/9. Let j(r) = -3*r**3 - 37*r**3 + 2*r**2 + 42*r**3 + 3*r - 1. Give b*j(m) + 3*i(m).\nAnswer: 2*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8050451, -2\/19, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - n - 3. What is the remainder when t(3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002239230256 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36818, -53507, -70196, -86885?\nAnswer: -103574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 31. Let s be f(34). Put -4, 4, s, 5 in decreasing order.\nAnswer: 5, 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3239537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1425*p**3 - 15*p**2 - 11. Let b(n) = 713*n**3 + 8*n**2 + 8. Let k(m) = -5*b(m) - 3*q(m). What is the third derivative of k(l) wrt l?\nAnswer: 4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, j: 7, z: 2}. What is prob of sequence zej?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 865119 and 100488.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.665 - 0.435. What is t rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/7 + 24*w\/7 = 0. What is w?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klllllklllllkl. Give prob of picking 1 l and 2 k.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 31 = 5*y, 3*y - 24 = 3*x - 9. Let i = 29 - y. Let s(q) = -2*q + 5*q - 22 + i. Let u(z) = 5*z. Give s(u(k)).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1726434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350595683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65299291?\nAnswer: 65299291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -1, 0 = -5*p - b + 657. Suppose -3*y - t = -2*t - 175, 5*t - 10 = 0. Let q = p - y. What is the greatest common divisor of q and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**4\/12 - 4. Factor l(x).\nAnswer: x**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-157110)\/(-70) - (5 - 96\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from rerreremee.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 47 = -a, 2*a = 2*t + t + 103. What is the greatest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/5, -0.1, 2, 0.19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*r + 9 = 0, -3*l + 7 = 6*r - 4*r. Factor b**l - b**4 + b**3 - 2*b**3 + b**2 + 0*b**2.\nAnswer: b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(10)*-1) - (-1*sqrt(3388) - sqrt(3388))) + ((sqrt(140) + sqrt(140) + 1*sqrt(140) + sqrt(140))*-5 - sqrt(140) - sqrt(140))\/sqrt(5) + -1.\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + -13.94.\nAnswer: -19.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000831536 to six dps.\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74.2 - 74. Suppose -32*b + 3*r = -36*b - 64, -4*b - 32 = -5*r. Suppose 3*t = 6, -d - d = -4*t + 14. What is the third smallest value in x, b, d, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 2. Suppose 0 = 5*u - 0*u - 15. What is the remainder when 14 is divided by c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/163 and -56\/167501245.\nAnswer: 167501245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266*((-1125)\/(-350))\/45?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(((x\/(x*x**(-2)*x))\/x)\/x)*(x*x**(6\/17)*x)\/x)\/(x*x**(-2\/9)*x)**(1\/8) assuming x is positive.\nAnswer: x**(938\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 1.19335123.\nAnswer: -0.0835345861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/69*(-9)\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 7 = -c - 21*m, -2*c - m = 0. Suppose 5*j + 5 = -2*b + 17, 4*j - 8 = -2*b. Sort 8, 2, j, c in increasing order.\nAnswer: c, 2, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*m - 274*m + 138*m + 352*m**3 + 0 - 2.\nAnswer: 352*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from frllspws.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -356966 + 585435. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {l: 1, x: 7, d: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1, -2, 20, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/11 and -47\/51548.\nAnswer: 567028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7 + 11 + -4 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 49. Suppose -507 = -w*x + 3*f, -4*x + 369 = 4*f - 131. Calculate the highest common factor of 56 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 900580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 14. Let k be c(-5). Let a(i) = 2*i - 2. Let m be a(k). Suppose -2*f + 0*f = m. Solve -3*t + 4*o = -4, -4 = -5*t + 4*o - f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*q - 2105 - 1297 = 2160 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-28))\/((4\/(-196))\/(-1)). What is the greatest common divisor of z and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 19078*m**2 + 7*m - 9748*m**2 - 9603*m**2.\nAnswer: -273*m**2 + 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 + -7.2. What is the second smallest value in p, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/3 - 19*m**5\/60 - 412*m**3\/3 + 1668*m**2. Differentiate f(l) with respect to l.\nAnswer: 120*l**2 - 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 7*z**2 + 9*z - 6. Let b be p(8). Suppose -b + 10 = n. Solve -5*k + 4*s - 5 = 0, -4*s + 3*s + n = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 - y**3 + y**2 + 4*y + 3. Let l be 2*2\/(-4)*3. Calculate u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 3 + 0 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = 4*k - 0*k, -k - 1 = 3*i. Suppose 0*q - 2*g = k*q - 2848, -3*g = 3*q - 1716. Suppose 3*a - 2*b = 3827, -a + q = 2*b - 713. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29162489 is divided by 146545.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 40*x**2 + 3*x + 340. Give w(17).\nAnswer: 3570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65071 (base 9) in base 6?\nAnswer: -531231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3943*o + 181*o**3 + 1994*o + 2031*o wrt o.\nAnswer: 1086*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 14*a = x + 7, 5*a = -2*x + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Suppose 4*z - w = 1, -z = 3*z - 2*w + 2. Let p be (1\/(-4)*-6)\/(1\/2). Which is the nearest to -1? (a) z (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c - 3. Let w be y(-2). Solve w*o = 4*r - 20, -5*o - 3*r + 2 - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 192. Let v = u + -59. Suppose -2*f + 23 = v*x - 16, -21 = -x + 4*f. Is x less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 + 20 = 0. Suppose -5*d = -10, -13*t + 12*t = d - 7. Calculate the remainder when (4\/t)\/((-27)\/(-1350)) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 - 3270*l**2 - 1049664*l - 77389432 = 0. Calculate l.\nAnswer: -142, 1919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/3 - 20198*a\/3 - 20197\/3 = 0.\nAnswer: -20197, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -606 (base 12) to base 15\nAnswer: -3d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 3*c - 10*c - 197 + 188. Let o(m) = 3*m + 3. Calculate 7*o(r) + 2*y(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/35*5*7. Let k be (3\/(-6))\/(g\/(-20)). Suppose -j = -v - 22, -2*v + 119 = k*j + 30. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*5\/(-3)*1. Let v = -6 - -9. What is the greatest common divisor of v and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let l(t) = 14*t. Calculate -10*f(z) - 2*l(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*m + 124, 12 = 6*h - 2*h. Are 26 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 4:54 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23*c - 168. Let u be d(-8). Let j(n) = -6*n + 9 + 3*n + 5 - u. Give j(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1980280 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23759 divided by 24.\nAnswer: 23759\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 24007*b - 24010*b = -23, 5*s - 45 = 5*b for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-114 - (27 + -259)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51557896513 + -0.2?\nAnswer: 51557896512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -744\/11, -5, 0.3, 2\/43, 0, 0.2?\nAnswer: -744\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/6 - x**3 + x**2\/2 - 3*x. Let u be t(3). Solve m + 1 = -2*m + 4*i, -3*i - u = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34, -3, 5 in ascending order.\nAnswer: -34, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 87 - 519*b + 43 - 64*b to the form a*b + l and give a.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 346*s + 1736. Let u be b(-5). Solve 14 = d - 4*t, 4*d - 24 = u*d + 5*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2605 - 675 = -16*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 33*y**2 - 2678*y - 8277.\nAnswer: (y - 31)*(y + 3)*(2*y + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, 25, 80, 191, 376, 653, 1040?\n\"Answer: 3*r**3 + r**2 - 7*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 30 = 4*x, 4*j - 2*x + 57 = 7. Is j\/(-1) - 0\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5\/5 - 539*o**4\/5 + 401*o**3\/5 + 134*o**2\/5 = 0.\nAnswer: -1\/4, 0, 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*r - 39 = 6, 5*a + 5*r - 80 = 0. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h - 15. Calculate the remainder when j(-7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302280 divided by 2290.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4947 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2217*f. Let d(x) = 19*x**2. What is t(d(j))?\nAnswer: 42123*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -51297 * -0.2\nAnswer: 10259.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8232755029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - s - 5, 3*s = 4*b - 2*s - 22. Solve 2*p + b = -5*l, 2*p - 2 = 4*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1414824 and -23\/72.\nAnswer: 4244472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/(1\/(-46)). Suppose -z + 0 = d. Let b = 5 - z. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -283*n**2 + 17*n - 34. Let v(i) = -100*i**2 + 6*i - 12. Let l(s) = -17*v(s) + 6*w(s). Let p(m) = 0*m**2 - 2*m**2 + 7*m**2 + 9. Give l(p(o)).\nAnswer: 50*o**4 + 180*o**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0*h*h)\/h*h\/(h*h**(-1\/2)))\/((h*h**(-3))\/h**(2\/15)))**10 assuming h is positive.\nAnswer: h**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -24480.\nAnswer: -24480.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 12) to base 8.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 253*w + 253*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 527, 780, 1031?\n\"Answer: -w**2 + 258*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from uqusqsqq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4161*l**2 + 12552*l**2 - 4148*l**2 - 4236*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (154\/(-21))\/(0 - 6\/6039). Let y = 265681\/36 - u. What is the common denominator of y and ((-113)\/56)\/(5\/(-10))?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1138*j**3 + 10*j**2 - 11721*j + 3?\nAnswer: -6828*j + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*v - 2*v. Suppose 3*a - 30 = v. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*c**2 + 572*c - 342778.\nAnswer: 508*c + 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v - 39. Let g be f(-3). Solve -g*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49\/6 + 32\/3. Let p be (4\/46)\/((-4)\/(-3)). Let w = p - -37\/138. What is the nearest to w in -4\/5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 21*y**2 - 205*y - 379. Determine p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) 7 (d) 118 (e) 6 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -697 by 2.\nAnswer: -697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 476 - 4280\/9. What is the third smallest value in 4.2, f, 2\/13?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65536.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1250*g**3 + 32*g**2 - 54*g + 81. Let f(h) = 357*h**3 - 9*h**2 + 15*h - 23. Determine -5*b(d) - 18*f(d).\nAnswer: -176*d**3 + 2*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -4.\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*s + 13. Suppose 2*t = 3*o + 86, o = 3*o + s. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -6*v + 12 - 3\/2*v**2 + 3\/4*v**4 - 3\/5*v**5 + 3*v**3. Factor o(b).\nAnswer: -3*(b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -6\/7, 4 in descending order.\nAnswer: 146, 4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2. Let w(s) = -40*s - 7. Let o(r) = -2*c(r) + w(r). Let d be o(-2). Suppose -1271 = -4*b + d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78 - 16272*y**4 - 384*y**5 - 5*y**2 + 16269*y**4 - 5*y**2 wrt y.\nAnswer: -23040*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (2 + -10)) + -5 + 18 - 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-2) + 6\/12. Let b = g - 5. Let c(z) = -2*z + 7. List the prime factors of c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -1\/28, 0.4?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2566, 5137, 7694, 10231, 12742, 15221?\n\"Answer: -c**3 - c**2 + 2581*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -490620 divided by 163540\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000 + -1000100?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/10 and -26\/2419?\nAnswer: 24190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 9:58 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 7*b = 83. Let f = -74 - b. Suppose -5*d + 12 = -d. Solve 3*z - d = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*3\/(-6)*-16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let u(v) = 4*v + 7. Let r(p) = -p - 2. Let b(w) = -7*r(w) - 2*u(w). Determine b(x(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45476*j**3 + 2*j**2 + 30643*j wrt j?\nAnswer: -272856*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2692, 10772, 24246, 43120, 67400, 97092?\nAnswer: 132202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -1\/5, -24, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 34*b - 17*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59241 take away 340?\nAnswer: -59581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1347654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -302667319, -302667322, -302667325?\n\"Answer: -3*o - 302667316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10476 - -157138\/15. Which is the biggest value? (a) t (b) -61 (c) 0.4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -16. Differentiate -x - 23*l**2 + 11*l**2 + 5*l**2 with respect to l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - aa172a?\nAnswer: -aa1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28402 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kjjkjjjjkjjjjj?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 2. Let c be z(-10). Suppose -4*d = 3*o - 46, -o + 2*d = -2*o + c. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -543 - -545. Suppose 2*m - m = 24. What is the smallest common multiple of (m\/(-9))\/((-1)\/3) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17700 divided by 5\nAnswer: -3540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*l - 161*j + 156*j, 5*j - 19 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:28 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 9:46 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 643*p - 645*p - g, 2*p + 4*g = 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652256 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jps when three letters picked without replacement from {p: 4, u: 5, s: 1, j: 1, y: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)\/(j*(j**(-2\/11)*j)\/j*j)*j**(-1\/2)\/j*j**(-7) assuming j is positive.\nAnswer: j**(-337\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/22*1001\/546.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7110636 by -136743.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/30 - s**4\/12 - s**3\/3 + 2*s. Let n(k) be the second derivative of c(k). What is the first derivative of n(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and ((-12)\/14)\/(144\/(-672))?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -699832 divided by -174958?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17562 + -2.17562. Let q = 0.7 + -0.2. Suppose 18 = 5*a - 2*a. Sort a, y, q in increasing order.\nAnswer: y, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -6) + 0\/4. Suppose g + 9 = -r*z, -4*z + 3 = -4*g + 27. Which is the nearest to -0.2? (a) z (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25678 and 10.\nAnswer: 128390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 3*p**3 + 3*p**3)*(-10 + 4*p**2 + 10).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75003 + -277997. Round d to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262204, 1\/3, 10, -2, 4, 0.\nAnswer: -2, 0, 1\/3, 4, 10, 262204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (54 + -24) - -68.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100213 (base 5) to base 14\nAnswer: -6bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(k - 2*k - k) + 2*k + k - 2*k)*(-k**4 - 2*k**4 + k**4)*(1 + 3 - 3).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 14. Let b = 1.097577 - 0.097577. What is the nearest to b in w, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 17*b**2 - 61*b + 21. Let v be z(-5). Sort v, -4, 1, 3 in decreasing order.\nAnswer: v, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 664 - -6?\nAnswer: 66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00570153543 to 4 dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -863536 or -863533?\nAnswer: -863536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 2704 - 1586 = 0. Suppose -f + 180 = -b, -4*f + 310 = b - q. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5423 or -1?\nAnswer: 0.5423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4775.436 microseconds?\nAnswer: 0.0000795906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.14812 rounded to zero dps?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 9 + 0*p**2 + 10 - p**3 + 2*p**2 to the form b*p**2 + r*p**3 + y*p + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (35*26\/114660)\/(1\/(-4))\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 36 = -9*s, 5*s + 50 - 22 = -13*p + 12*p + 32 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/38 and -67\/828?\nAnswer: 15732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 931191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1273874, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-1)*1\/(-1). Let h = -4 - 15. Is h != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 62*n**2 + 37*n + 229. Is s(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5758 = -32*w + 59870. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 4*u - 4. Let r = -16 - -24. Suppose 0 = 2*g - r. Is l(g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48328 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (52\/(-6))\/(68\/(-102)). Suppose -2*j + n*j = 10274. What are the prime factors of j?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379 - 2791 = -2*j - 12*r - 1378, 5*j = 6*r - 59 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 32*h + 2876. What is q(41)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2287 or 2581?\nAnswer: 2581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 332 = -115. Let u = -84 + c. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.96 + 18.84. What is s rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403 < 5405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168448153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10*1)\/(-2)*1. Let w be (b\/15)\/(2\/(-6)). Let s(p) = -2*p - 2. Let m be s(-3). Solve m*x + 15 = -w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/8 + 15*i**3\/2 + 675*i**2\/4 + 31*i. Find b, given that a(b) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2 + 5*s + 69. Calculate the smallest common multiple of 682 and t(7).\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-90)\/36 + 1)\/((-6)\/(-8)). Which is the closest to s? (a) 4\/7 (b) 16 (c) 0.5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 41. Let w be t(-36). What is the hundreds digit of ((-89)\/3)\/(w\/(-75))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00537582 rounded to five decimal places?\nAnswer: -0.00538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:57 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s**2 - s - 4. Let q = -1415 - -1419. Let j(z) = 25*z**2 + 2*z + 9. Give q*j(x) + 9*b(x).\nAnswer: -8*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 1\/4 (c) 0.5 (d) 46 (e) -0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/760 and -39\/3035668.\nAnswer: 30356680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f + 34 = 0. Suppose -5*n = -4*u + 2 + 27, 5*n = 2*u - f. Solve y = u*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19721.4522 rounded to zero decimal places?\nAnswer: 19721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/5 + 26*z**2\/5 + 58*z\/5 + 6 = 0 for z.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -82981000 rounded to the nearest one million?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5877 + -5877.9. Put f, 3.1, -0.2, 0.4 in decreasing order.\nAnswer: 3.1, 0.4, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 1 + y**3 + 3 + 5*y + y**2. Calculate j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26406*d**3 + 61054*d wrt d?\nAnswer: -158436*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*i**2 + 4*i**2 + 41*i**2 - 14*i**2)*(78*i - 15*i**2 - 78*i) to the form g*i**4 + a + b*i + v*i**3 + t*i**2 and give g.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 1 = 15. Solve -6 = -c - w*n + 1, 3*c - 6 = -3*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -6. Let p(x) = 1442*x**2 + 6*x - 2. Let f be p(l). Let k = -31054 - f. Round k to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/7)\/r)**(1\/6)\/(r**(4\/3)\/r**(-3)) assuming r is positive.\nAnswer: r**(-92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5*(sqrt(539) + 3) + sqrt(539) - ((2 + sqrt(539) + sqrt(539))*5 + sqrt(539) + -1)) + -4)**2.\nAnswer: -210*sqrt(11) + 13484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.169 and 1.50393.\nAnswer: 1.33493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -54433000 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12934*a**3 + 3*a**2 + 2*a + 2. Let o be i(-2). Suppose o = 19*h - h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458127133?\nAnswer: 9419, 154807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-825)\/(-1155))\/((-1)\/(-1))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -1006. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -2*p + 0 + 3\/2*p**3 - 1\/2*p**2. What is t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 393 and 96285?\nAnswer: 96285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132144554 (base 6) in base 8?\nAnswer: 12012326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -140050353?\nAnswer: 140050314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-85)\/30 - (-1)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 + 111. Let p = -83 - k. Is p >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a - 3*a - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4 - 1 + a + 15*a**2 - 16*a**2. Let j be h(3). Let y be j + 5 - (-3 + 5). Which is bigger: -3\/10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - 3*v + 1. Let b(g) = 9*g**3 - 2*g**2 - 18*g + 5. Let j(r) = -b(r) + 5*n(r). Let l(k) = 5*k**3 + 2*k**2 + 2*k. Give 4*j(q) - 5*l(q).\nAnswer: -q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 + 168*s**2 + 332*s + 6. Determine g(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2814*k + 135. Let m(c) = -563*c - 27. Let s(w) = 2*l(w) + 11*m(w). Suppose 3*j + 12 = 4*d, 2*d - 34 = -20*j + 25*j. Is s(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/45753 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34942, -69889, -104840, -139795, -174754, -209717?\n\"Answer: -2*c**2 - 34941*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 8*z - 5*z + 607*z**2 - 619*z**2 + 14. Let t be q(13). What is the greatest common factor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20823, -20822, -20821?\nAnswer: -20820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1071147*h**3 - 878*h + 1193 wrt h.\nAnswer: 6426882*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 4*a + 36 + 42 - 2*a as u*a + t and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0\/(-1 - -5). What is the greatest common divisor of g and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 218?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 42*g**2 - 118*g + 264. Give x(2).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((44\/(-10))\/((-2)\/10))\/2. Solve 2 - y = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5899658114?\nAnswer: 2, 7, 251, 239843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 10)\/((-2)\/3). Calculate the smallest common multiple of 5\/(y\/(-6)) - -20 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/13, -3\/8, 353?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1694 - -1865. What is the remainder when t is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -169 + (265 - 97) - (1 - 30)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2099223 by -9.\nAnswer: -233247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105\/11 or 0.0562?\nAnswer: -105\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 1458 + 3912. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 4*l**3 + 2*l**2 - 7*l + 7. Let u(j) = j**2 - 1. Let i(t) = -2*a(t) + 22*u(t). Let i(k) = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/17709 - -41320\/17709. Sort -5, o, -0.74, -0.1.\nAnswer: -5, -0.74, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -1000?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c**4 - 9*c**4 + 2*c**3 - 18 + 21 to the form s*c**2 + i*c + j*c**4 + o + q*c**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = -4*s + 27. What is h in -211*h**2 + s*h**2 - 3*h**3 + 81 + 128*h**2 - 81*h = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*154\/(-126) - 16. Let b = -0.1 + 4.1. What is the fourth biggest value in n, 0.3, b, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -541\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - 425\/(-15). Let b = r + 454. Suppose -i = -3*p + b, -2*i + 388 = 3*p - 97. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (178\/10 + -16).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.024 + -86.976. Let b = 187 - 99. Let m = b + u. What is the closest to m in 3, -2\/5, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/105 + h**4\/7 - 8*h**3\/21 + 3*h**2\/7 - 18*h. Let k(x) = 0. What is x?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Suppose 0 = -2*h + 9 - 75. Let y be ((-6)\/4)\/(h\/44). Sort 5, s, y, 0 in descending order.\nAnswer: 5, s, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 28, 29, 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10750, 21500, 32250?\n\"Answer: 10750*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 + 1439*n + 148 - 1439*n + 155 + 5*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**3 + 6*w - 16. Let p(v) = -7 + 10*v**3 + 1 - 70*v - 9 + 75*v. Let r(g) = -5*j(g) + 6*p(g). What is the derivative of r(i) wrt i?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -757 (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.43. Let u = 3 + -7. What is the closest to 0.2 in m, -5, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6509)\/(-5565) + 36\/84. Let j = r + 2\/1113. Factor j*d**2 + 0 + 2\/5*d.\nAnswer: 2*d*(4*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 637 - 606. Suppose 33*x = u*x. Find p, given that 15\/7*p**3 - 12\/7*p**4 + 0*p + 3\/7*p**5 - 6\/7*p**2 + x = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-12))\/(2\/8). Let r be y\/21 - 2180\/(-35). Suppose 38 = 3*s + 6*f - 4*f, 4*s - 3*f - r = 0. Calculate the remainder when 26 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100329.\nAnswer: 3, 53, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1775628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + 7*y)*(0 - 5 + 3)*(-y - 2*y + 4*y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-56)\/(-12)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 8) to base 9.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/504 and -41\/2856.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 0, -1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 27680414.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18753150 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6041550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29377 is divided by 226?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 3812956*y\/5 + 2287770.\nAnswer: 2*(y - 1906475)*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 807702503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 52*u - 22.\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.645411t in micrograms?\nAnswer: 4645411000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0 - -2) + 0. Let u be w - 21\/(-1)*1. Let l(z) = -z**2 + 105*z - 186. Let f be l(103). Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*(sqrt(432) - 5*sqrt(432) - sqrt(432) - sqrt(432)))**2 - sqrt(432)) + (sqrt(432)*-5 + -2 - sqrt(432))**2 + 0.\nAnswer: 276*sqrt(3) + 31105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) 89 (c) 8 (d) -1\/5 (e) -2\/17 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b**2 - 752*b + 752*b.\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y - 7*y + 3*y)*(0 + 0 - 1) in the form s*y + o and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119276255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 99*d**2 + 12*d. Let n be l(9). Let z = 170615\/21 - n. Let s = z + 22\/7. What is the closest to 0 in s, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780260.3 litres in millilitres?\nAnswer: 780260300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518588 and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -3. Let z(u) = u**2 + 3*u - 4. Let h be z(q). Is 1\/3 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 84 = 73*g - 64*g. Solve g*r = -4*p - 1 + 21, 2*r = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 534?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 449 and 4.\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*o + 4*p, 0 = o - 0*o - p + 15. Let n be ((-4)\/o)\/(14\/70). Solve r + 2 + n = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -90. Let m = 18 - w. Which is the third biggest value? (a) -2\/13 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3204 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:15 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22132 (base 4) to base 7\nAnswer: -1645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*((sqrt(684) + -1 + sqrt(684) + 3)*-2*-1)**2 + 1).\nAnswer: -43836 - 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 235320688 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485404147.\nAnswer: 23, 64582789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70))\/((sqrt(40) + sqrt(160)\/sqrt(4) + sqrt(40))\/sqrt(4) + sqrt(10)) + 1*(5 + sqrt(175) + -1 + sqrt(175)).\nAnswer: 4 + 29*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.837134 meters to millimeters.\nAnswer: 837.134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126834 and -66.28.\nAnswer: 8406557.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 + 259. Find the second derivative of -f**4 + y*f + 3*f**4 + 24*f - f**4 - 41*f**5 wrt f.\nAnswer: -820*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 9.803\nAnswer: -4.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14 = 3*i, 0*i - 2*i = -m - 14. Let z = 18 - m. Suppose -h = 3*h + 3*p - z, -5*p - 35 = -5*h. What is the greatest common factor of h and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/41 + 317\/246. Let s(b) = -b**3 - 8*b**2 - 8*b - 6. Let h be s(-7). Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/170)\/(32224\/443080)?\nAnswer: 22\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r**2 + 2. Let v be x(-4). Let m(g) = -g - v*g - 2*g - 11. What is the remainder when m(-5) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -1.6, 4, -386\/7, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146062204 < 146062204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16 = 2*j, 22 + 12 = -3*j - 5*a. Suppose 3*i = 2*l + 4, i - 28 + 40 = -6*l. What is the smallest value in 2, 3, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -3*1*sqrt(208) - (sqrt(208)*1 + 1) - (-3*(1 + sqrt(208)) + 4))*5)**2*1.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*1*sqrt(102) + 2*3*sqrt(102))\/((5*sqrt(162) - sqrt(18))\/(-2*(sqrt(3) - 2*sqrt(3)))).\nAnswer: -5 + 8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28 - 420*v**3 - 117*v + 470*v**3 - 27 - 9*v**5 wrt v.\nAnswer: -180*v**3 + 300*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 53 = -4*n, -x = -4*n + 13 + 20. Let b(c) = -2*c + 18. Let z be b(n). Solve -z*o - 1 = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 72659984*x\/3 + 659934159360032\/3.\nAnswer: 2*(x + 18164996)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3 + 757856*f**2 + 3*f - 2683967?\nAnswer: -6*f**2 + 1515712*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4704 and 33744.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -56*c - 12. Let t be z(-7). Suppose -4*i + 3*q = -9*i + 614, 4*q = 3*i - t. Suppose 0 = -0*s - 4*s + i. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10396.014 rounded to zero dps?\nAnswer: -10396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 1. Let g(k) = -4*k + 2. Determine 2*g(r) + 3*n(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 20 = -17*h. Suppose h*d + 3*k = 694, d - 3*k - 706 = -4*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 30 + 128 = -112 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3.62, 1 in increasing order.\nAnswer: -5, 1, 3.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533639?\nAnswer: 223, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.072? (a) -0.4 (b) 2 (c) 82 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - h - 2*h + (-h - h + h)*(7 - 44 - 15) to m*h + c and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*i**4 - i**2 - 33*i - 760 wrt i.\nAnswer: 212*i**3 - 2*i - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:56 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*n - 4*b - 117, 3*n + 3*b = 144. Let m = n - 31. Solve 0*t + 3*t - m = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3005041, 3005025, 3005009, 3004993, 3004977, 3004961?\n\"Answer: -16*f + 3005057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*o - 9. Suppose -o*a = 2*a - 392. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 771 divide 1516984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*f + 52 = 0, 15 = -5*t - f - 49. List the prime factors of (4\/t)\/(4*(-4)\/41328).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/11 - 8482*g\/11 - 8480\/11 = 0. Calculate g.\nAnswer: -4240, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 266, 542, 828, 1124, 1430, 1746, 2072?\n\"Answer: 5*g**2 + 261*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 + -1.7. Let h = 630089.700013 + -630096.7. Let x = z - h. Round x to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:33 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(3 - 44\/16). Suppose -36*c = -z*c - 8. Solve 2*q = c*t + q - 7, -7 = -t + 4*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from azztaodu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -301 or -7608?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 13442*j\/5 + 2042196.\nAnswer: -2*(j - 689)*(j + 7410)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w - 4*n + 25, -w + 2*n - 5 = 0. Solve v + 2 = w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -1762793?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -116*r + 60*r + 50*r - 1. Let x = 0 + -1. Determine n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -17. Let h = g - 14. Let z be (-46)\/(-10) + h\/15. Let y(u) = -u + 3. Determine y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1529*u - 14012*u - 912*u - 2290*u as f + s*u and give s.\nAnswer: -18743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, u: 6, y: 2, e: 2, d: 2, c: 4}. What is prob of sequence udc?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.006 and 687.\nAnswer: 4.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14496196?\nAnswer: 2, 11, 13, 25343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 190 = 30. Let r = -56 + l. Is -2\/3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59346401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**6\/120 - w**3\/6 - 3*w. Let u(g) be the second derivative of c(g). Let j(o) = 2*o. What is j(u(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2 + 5*m - 5*m + 5*m**2 + 5*m**3 - 4*m**3 - 6*m. Let a be b(-6). What is the third smallest value in -1, a, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 79 - 91 - (72 - 3 - -3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = -12. Suppose 0 = -v + 25 + x. Calculate the greatest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3982, 3976, 3966, 3952?\n\"Answer: -2*z**2 + 3984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-4) + (-2)\/8. Suppose -2*f - 3 = -1. Let o be (f\/2)\/((-1)\/10). Solve 0 = -5*s - g*m + 18, 4*s - 13 = 2*s + o*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 442, -58, -1496, -4214, -8554?\nAnswer: -14858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1973 - 1955 - 8*x**3 + 3*x**3.\nAnswer: -5*x**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9918 + 9915.8627. Let m = -0.0473 - i. Round m to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 2, z: 14}. What is prob of sequence bz?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209200636 divided by 104600318?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14035106 is divided by 238.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -19. Let c(a) = -3*a**3 + 2*a - a - 6*a**2 - 231 + a + 222 + 4*a**3. Let v be c(y). Solve 0 = 5*o + u + u + 27, o - 2*u = -v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from eceeeeeeeidee.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6792 divided by -283\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842581481.\nAnswer: 3, 13, 101, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3\/3 - -5010. Suppose 109*r - 14*r = 258210. Let a = k - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (14 + -2)) + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 187948*q\/9 - 6016384\/9.\nAnswer: 2*(q - 32)*(q + 94006)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/30 and 1\/(-11)*(-3572)\/(-130986)*12\/(-8).\nAnswer: 126390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2886*s**2 - 3147*s**2 + 6034*s**2 - 37.\nAnswer: s**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 9. Let z = -4 + 6. Let v = 0 + z. Let h(r) = r - 2. Let d be h(v). Determine l(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(32\/(-4))*4 + -4. Put 5, v, -1, -5 in decreasing order.\nAnswer: 5, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 816830610 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 648205 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102024455 (base 6) to base 16.\nAnswer: -b4e1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -23. What is the highest common factor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/3600540 and -56\/1401.\nAnswer: 1681452180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27, 16, -555, -1 in decreasing order.\nAnswer: 16, 3, -1, -27, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 91*s**4\/4 + s**3 + s**2 - 3*s - 41. List the prime factors of c(2).\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 23*o**2 + 22*o - 12. What is i(22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 5542.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 47. Sort -5, b, -1, 0.\nAnswer: -5, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 3*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261.74 + 250. What is s rounded to 1 decimal place?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2725850 (b) -3 (c) 2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 + 7*h + 26. Let j be v(-6). Solve 3*g = -4*f + 21, -5*f - 2 = g - j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860270 (base 15) to base 6.\nAnswer: 344421453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243111200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxxxjjxxxxx. Give prob of picking 3 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 8*v**2 + 8*v - 3. Let t be b(7). Suppose -t*p - 3*p + 49 = 0. Find the second derivative of 4*m**3 + m - 2*m - p*m**3 wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52*(((-3)\/((-3)\/(-1)))\/3)\/(9\/27)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67054 (base 9) in base 16?\nAnswer: -ade6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 65, 161, 299, 479?\n\"Answer: 21*b**2 - 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8144?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-80)\/(-30))\/(2\/6). Suppose a - 6 = k. Suppose 5*h = 4*d - 268, d - h + k*h = 67. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.07, 0.09, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -101*(3\/7 - 99140\/14). Suppose -i = -4*y - 3*v, 3*y - y = 4*v + 357596. Suppose -4*w + 3*o + y = 5*o, 6 = -3*o. Round w to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, 25 in descending order.\nAnswer: 25, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234452617?\nAnswer: 7, 29, 103, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-24)\/336*3\/((-3)\/2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/54*(72 - (-1785)\/(-10))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (3 + -1)) + (3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 612*u + 1465*u + 1739*u.\nAnswer: 2609*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Suppose -2*l + 8 = 4*i, 0*l = -o*l + i + 13. Calculate the remainder when (l\/(-18))\/((-2)\/258) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16822\/17 + -989. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134524 * 18.3\nAnswer: -20761789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((12\/9)\/((-2)\/(-21))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-20 + (52 - 16 - 8))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, 6, -55, 5 in increasing order.\nAnswer: -55, -40, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21234, -22851, -24466, -26079, -27690?\n\"Answer: g**2 - 1620*g - 19615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-2\/7))**47)**(3\/26))**(-22))**31 assuming z is positive.\nAnswer: z**(96162\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6 - (-2 + -2))*-3. Let z(m) = -57*m - 255. Let q be z(l). Calculate the greatest common factor of q and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 + 27\/9. Suppose 0 = -n*u - 20, 3*c = -2*c + 4*u + 676. Suppose 3*p + p = 5*o - 160, -4*o + 4*p + c = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 20332?\nAnswer: 20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhlxlllxl. Give prob of sequence xlll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6101 - -312156?\nAnswer: 303055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, j: 5, v: 5, g: 4}. Give prob of picking 1 j and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10*b**2 + 57*b - 479. Let w(d) = -3*d**2 + 19*d - 135. Let q(v) = 2*p(v) - 7*w(v). What is q(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3078 - 3078 - 209*k)*(2 + 0 - 1) + k - k + 4*k + 2*k - 3*k + 2*k.\nAnswer: -204*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 196*j + 0*j**3 + 0 + 0*j**2 - 11\/12*j**4. Let f(h) = 9*h**2. Determine b(f(z)).\nAnswer: -891*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*h**2 - 30*h**2 + 141*h**2.\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146530174 is divided by 15496?\nAnswer: 15494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -201614 divided by 2\nAnswer: -100807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 38 = -86*z + 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336129 is divided by 167890.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 4 (b) -3\/4 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 7*a - 24. Suppose a*q = -10 - 6. Put 5, 1, q, -3 in descending order.\nAnswer: 5, 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - -3. Suppose 10*u + y = 16*u. Solve -2*z + d + 20 = u*d, -3*z - d + 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20685 + -827459\/40. Suppose 7*k = -186 - 234. Calculate the common denominator of p and k\/(-48) - (-892)\/(-80).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 298, 1486, 3568, 6544, 10414, 15178, 20836?\n\"Answer: 447*o**2 - 153*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-1\/8)*p*p)\/p*p**(-2\/13)*p*p*p)**(-5\/2)*(p\/p**7*p\/(p*p**(1\/11)))**(1\/71) assuming p is positive.\nAnswer: p**(-2337411\/162448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*r + 78*r = 272. Does 17 divide (1 - (-9)\/(-8)) + (-67065)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -140. Suppose -3*v - 16 = -6*v - g*k, -v + 9 = 5*k. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3 = s - 7, 0 = p - 3*s + 12. Let n be (p - (-9)\/(-6))*34. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2242110\/(-19320) + 116 + 4\/46\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/344 + -17027\/6536. Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 270872857 or 270872856?\nAnswer: 270872857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000204 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -65*y**6\/6 - 102*y**5 - 305*y**4 - 280*y**3 + 80*y**2 + 4113. Determine a so that s(a) = 0.\nAnswer: -4, -2, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*q + 1)*(-353*q**3 + 18270*q - 18270*q) + (q - 1 + 1)*(-13*q**3 + 11*q**3 - 98*q**3) in the form j*q**2 + a*q**3 + d + m*q + c*q**4 and give c.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 128, 283, 500?\n\"Answer: 31*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -19*t**4\/24 - t**3 - 8*t**2 - 3*t. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -216. Put -5, 0, g in increasing order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 115, 3, 0, -25, 5.\nAnswer: -25, -5, 0, 3, 5, 27, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10214*d**3*u*v + 5*d**3*u + 1737*d**3 + v + 2 wrt u.\nAnswer: 10214*d**3*v + 5*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, -5, 616, -2 in decreasing order.\nAnswer: 616, 5, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - p + 4*p**2 + 5*p**2 - 5*p**2 + 4*p**2 + (-4 + 1 + 2)*(-2*p**2 - 2*p**2 + 5*p**2) - 3*p**2 + 0*p**2 + 4*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3)\/(0 - (-5 + 2)). Sort 0, s, 0.2, -1\/34 in decreasing order.\nAnswer: 0.2, 0, -1\/34, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h - 2. Give n(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -437479\/20 + 21869. Calculate the common denominator of 59\/5122 and y.\nAnswer: 51220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345*b**2 - 379*b.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = x + 22, 5*j = -3*x + 48 - 14. Suppose -94 = -2*f - x*o, 4*o = 2*f - 6*f + 180. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -2\/21, 1\/3, 4\/7, -0.5, 896?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/30 + g**3\/2 - 8*g**2. Let d(q) = -5*q**2 - 8. Determine -3*d(l) - 8*m(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 52*h**2 - 248*h + 1402. Give m(56).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 42414*u. Let p(q) = 1359*q. Calculate p(v(j)).\nAnswer: 57640626*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 9*w - 10. Let t be l(10). Suppose t*u - 3 = -u. Solve -y - u = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43440826 or -43440827?\nAnswer: -43440826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25*g + 11. Let t(w) = 29*w - 11. Let y(i) = 3*n(i) + 2*t(i). Let f(d) = -d - 3. Let j be f(6). Let q(b) = 8*b - 5. What is j*q(z) - 4*y(z)?\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 1806251*p**4\/12 + 5*p**3\/6 + 2*p**2 + 5*p. Suppose -10*c = -1 + 41. Let r be d(c). Round r to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t + 998. Give a(-100).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -0*z + 4*k, z + 3*k + 12 = 0. Let m = -156 - -82. Is (m\/6)\/(1\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/555310 and 89\/112.\nAnswer: 4442480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -450 by 3.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, a: 2}. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -153 + -921508?\nAnswer: -921661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 4, 9, 26, 61, 120, 209, 334?\n\"Answer: o**3 - 3*o**2 + o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -w + 2*w, 0 = -3*w + i + 8. Suppose 0 = w*f + l + 2553004, f = 4*l - 15768 - 835216. What is f rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4277 and -123\/50.\nAnswer: 213850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - c - c = -0*x - 1333 + 1341, -x - 25 = 4*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*a - 127*a**4 - 125*a**4 + 229*a**4 wrt a.\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7971329 divided by -2\nAnswer: -7971329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 2, 2\/351, -0.7, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2 and 67\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*l**2 - 374*l**2 + 14*l**2.\nAnswer: -557*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j. Let c be (1 + j)*1*4. What is the units digit of (6\/(-4))\/((-3)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = 9*q + 177 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275.8182 - 275.1. Round s to 2 dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4\/12 - 5*i**3\/6 + 3*i**2\/2 - 2*i - 2. Let r(y) be the first derivative of q(y). What is the units digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.2, -140 in decreasing order.\nAnswer: -1\/7, -0.2, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + d - 11. Determine g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000757636595 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 32*o + 72. Let i(r) = 2*r - 2. Determine 3*i(w) + k(w).\nAnswer: 38*w + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 39763.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**3 + 2*f**3 + 136*f**2 - 134*f**2 + 2 + f in the form u + h*f**3 + q*f**2 + w*f and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/15)\/(18\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*w**4 - 127*w**3 - 2*w**2 - 121*w + 3140802?\nAnswer: 68*w**3 - 381*w**2 - 4*w - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*h + 18*h = 54*h - 14126350. List the prime factors of h.\nAnswer: 2, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*12\/(-64))\/((2408\/215)\/56).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 7*s + 5. Let z be u(-5). Let t = 8 + z. Factor -4*i**4 - t*i**3 + 3*i**4 + 4*i**3.\nAnswer: -i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28995125 is divided by 742.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**3 - 16*i**2 - 8*i - 8. Let b be 56\/(-20)*(-800)\/280. Let x(q) = 4*q**3 - 11*q**2 - 5*q - 5. Calculate b*x(c) - 5*h(c).\nAnswer: 2*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 41 - 5, -48*i + 24 = -75*i + 21*i + 2*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:28 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2 + (-30)\/20. Let q(m) = t - 21*m + 59*m - 31*m. Determine q(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 3 = 28*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3612 or -5?\nAnswer: 3612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32431135245 and 4.\nAnswer: 32431135249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-6)*-1*(-2)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/5*3\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/5 - 321718008*g\/5 - 8625206389290672\/5 = 0. Calculate g.\nAnswer: -53619668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105925 and 1784?\nAnswer: 847400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106710 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -8*x**5 - 88534*x**4 - 685688*x**3 - 331420*x**2 + 3870400*x - 2764750 = 0.\nAnswer: -11059, -5, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -616616.07 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.695817 milligrams?\nAnswer: 0.007695817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c*c)\/(c\/(c\/(c**(-3)*c*c))))\/((c*c*c\/(c*c**0\/c))\/c)**(-2\/47)*(c\/c**(-8)*c**(-1\/7))\/(c**2)**(5\/8) assuming c is positive.\nAnswer: c**(11439\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 129\/18988 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9625238?\nAnswer: 2, 7, 687517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2059*b**2 + 33*b + 418. Let d be h(-9). What is d rounded to the nearest one thousand?\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -1.1229, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/(8*(-9)\/(-216))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 21 = -4*t - 4*p, 3*p + 15 = 0. Let z(l) = -l**3 + 5*l**2 - 15*l + 309. Let y be z(8). Put 2, -1, t, y in descending order.\nAnswer: 2, -1, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*y**3 + 174*y**2 - 515*y**2 + 172*y**2 + 169*y**2.\nAnswer: 117*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 156, 241, 340, 459, 604?\n\"Answer: y**3 - 2*y**2 + 76*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.128 - -0.128. Let j be -4 + (1\/(-6) - 386\/(-84)). What is the nearest to j in -6, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 433 = -4*q, f + 0*q = -2*q + 95. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:09 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/41994 and 5\/4395372?\nAnswer: 13186116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (-8 - ((12 - 4) + -4))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 344 = 4*t, 3*j + 346 = -5*t - 0. Let o = -68 - j. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001100100000001110 (base 2) to base 12.\nAnswer: -877326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -x - 12. Is 3\/(-2)*(-12)\/x - -3029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 28776.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 4\/25, 1575 in decreasing order.\nAnswer: 1575, 4\/25, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560633 and 57461.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + m**2 + m**2)*(0 - 3 - 4 + (-4 - 1 + 6)*(0 + 2 + 0)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2. Let h(x) be the second derivative of x**6\/240 + x**4\/3 - 3*x. Let z(j) be the third derivative of h(j). What is z(n(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let t(v) = 3*v**2 + 6*v + 6. Let p be t(-2). Let m = p - b. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68050381.7 to the nearest 10000.\nAnswer: -68050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -611.031366 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-2)\/(1 + 1\/1). Let q(n) = 5 - n + 2*n + 4*n - 3*n. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -18. Let q be 3*-2*(-4)\/8. Suppose m + m + 2 = 5*p, 3*p + q*m = 18. Solve l - 2*l - 2*k = -7, y*l = 5*k + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3822 + -3813. Solve -g = 7 - x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1780 and 2719320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.147, 2\/9, -2\/9, -3\/4, 0.3 in descending order.\nAnswer: 0.3, 2\/9, -0.147, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or -13\/77?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 333\/14 - 47\/2. Let p = -80 + 79. Which is the third biggest value? (a) 2 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5127*-2006.\nAnswer: 10284762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 - 35 = -5*d, -x = 2*d - 3. Suppose x*l - 9 = 6. Suppose 3*p = -6, -p - 30 = -l*q + 2*p. Let f(o) = o**2 - 8*o - 2. Determine f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 0, 3, -7 in descending order.\nAnswer: 4, 3, 0, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 127.4538022 from 108.\nAnswer: -19.4538022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yer when three letters picked without replacement from {y: 1, e: 12, r: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - v + 6062 = 0, 4*v = -2*i - 0*v - 4032. What is i rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 4*g**3 - 80*g**3 + 93*g**3 + g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1610875 less than -648?\nAnswer: -648.1610875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 126 = 3*c, 3268 = j + 4*j - c + 3220 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -45. Suppose -a*h - 3*z + 171 = 0, 26 + 43 = h - 2*z. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116680*p**2 - 147*p - 116684*p**2 - p**3 - 3*p**3 + p**3 - 8*p**3 in the form s*p + h*p**2 + l + n*p**3 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 9*q)*(-9*q + 7*q + 12*q + (-1 + 3 - 1)*(3*q - 6*q + 2*q))*(q - 2*q + 3*q).\nAnswer: -144*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8 and -61\/469672.\nAnswer: 469672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 15*g**2 + 2*g - 27. Let v be x(15). Let t be 470 + 1 + v + -2. Suppose 4*y + t = 8*y. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3.5. Let h = 7 + -8. Let n = q + h. Sort n, -5, 4\/5 in descending order.\nAnswer: 4\/5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 7*v - 8. Let d be k(10). Suppose d*f - 19*f - 720 = 0. Calculate the greatest common divisor of f and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 11*d - 2. Let f be (-4)\/56*-90 + (-33)\/77. Let r(g) = -g**3 + 6*g - 1. Determine f*v(q) - 11*r(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6 + 64. Determine j so that -30 + 22*j**2 - 10*j**2 + 23*j**2 + m*j + 55*j**2 + 25*j**3 = 0.\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 546\/(-12)*(-24)\/(-14). What is the remainder when 47 is divided by v\/9*-6*3\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2786*v - 218241 + 51438 = -2316*v + 1553*v for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -59. Suppose -2*x - k = -7*x. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.6 - 18.3. Let x = 5.784 + a. Let g = x - 0.03. What is g rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11815, -47441, -106811, -189919, -296759, -427325, -581611, -759611?\n\"Answer: c**3 - 11878*c**2 + c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053167 to the power of 1\/2, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)**(1\/11)*h**(-2\/7)*h**(-1\/3)*h*(h**(-1\/4))**(2\/5)\/(h*h*h**(1\/5)*(h*h*h\/h**8)\/h) assuming h is positive.\nAnswer: h**(9847\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202538929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4487 is divided by 675.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 1:11 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075192377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 62.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2390 = -5*q + 725. Let u be (8\/12)\/((-6)\/q). Let a = -19 + u. Calculate the smallest common multiple of 22 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*s = -11, 4*c - 726*s = -729*s + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*2*(-42527)\/(-1275810)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - p = 4*p, -4*h - p = -42. Let n be (116\/10)\/((-2)\/h). Is 84\/3*n\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, d: 1, m: 1, o: 3, x: 1, t: 3}. Give prob of sequence oix.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and 0.13226637148567.\nAnswer: 0.12226637148567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 3403, 11048, 25821, 50098, 86255?\nAnswer: 136668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -k + 15, -3*t = -k - 59. Suppose 13 = 2*q - t. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from gggcggggcggggc.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 7*a - 9. Let h be c(-6). Let g be 40\/6 - (-2)\/h. Suppose -r = -g*r + 85. What is r rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**3 + 16*x**3 + 2*x - 42*x**3 - 2*x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*p**2 - 118*p**2 - 507*p**2 + 33*p**2.\nAnswer: -504*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93092 and 29437200?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -3390, -7616, -13532?\nAnswer: -21138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/3)*i)**(-2\/25)*(i\/(i*((i\/(i**1\/i)*i*i)\/i)\/i*i))**(-1\/4)*(i**(-2\/3)*i**(-1\/15))**(-4\/3) assuming i is positive.\nAnswer: i**(569\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 1025, 2353, 4229, 6653?\nAnswer: 9625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 + 244 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 - (-3 + 6\/3). Let j = -5 - o. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 0. Let a = 0.1 + 0. Let o = -4.102 - -0.102. Sort a, o, r.\nAnswer: o, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -12.7. Let q = 12.3 - d. Which is the nearest to 0? (a) -0.2 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 456 divided by 38\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168.13 - -175.3. Let q = -0.57 + f. Is q at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/30)\/(-6)*20\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1487499*t + 8. Let n be (0 - (-2 + 0)) + -3. Let v be -2*(-4)\/(n\/(-1)). Let w be h(v). What is w rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (423 - 824*i - 423)*(0 - 2*i + 0) - 2*i**2 + 5*i**2 - i**2.\nAnswer: 1650*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let j be a(6). Suppose j*p + q - 37 = -2*q, 2*p + 4*q = 26. Suppose 4*m - 4*z = 160, 0 = p*m + 2*z - 5*z - 190. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 313360336 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11706470 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q + 50*q + 17024 = 0. Put 2, -4, q in decreasing order.\nAnswer: 2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67167900 to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (2*5*(sqrt(2448) - (-1 + sqrt(2448))) - (sqrt(2448) + -2*-1*sqrt(2448) + sqrt(2448) + 2)))*2)**2.\nAnswer: -3072*sqrt(17) + 156928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 9*z**2 - 12*z + 6. Determine n(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1467 + 4766. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -544 + 650. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16)*387\/((-52809246)\/(-1008))?\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 + 5*c**3 + 38*c**2 + 12033*c wrt c.\nAnswer: -20*c**3 + 30*c + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 372. Calculate d(21).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -10*c - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 3*z**4\/4 + 56*z**3\/3 + 27*z**2 - 2*z - 205. What is the second derivative of w(f) wrt f?\nAnswer: 18*f + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168483 divided by -3\nAnswer: -56161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5712 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 36*z**2 - 15*z - 450.\nAnswer: -3*(z - 10)*(z - 5)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 165\/(-20). Let y = 12 - w. Suppose m - y = -13. Which is the nearest to -1\/3? (a) -2\/9 (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16035732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2237769 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.910307 centuries?\nAnswer: 891.0307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101803*f**5 + 22*f**2 + 650?\nAnswer: -6108180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 12*i - 901*i**3 + 822*i**3 - 8*i - 8*i as a*i + c*i**2 + q + y*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2, -2*h = -3*r + 6*r + 4. Solve 2 + r = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 10*k**2 + 10*k + 12. Let o be i(11). Is 3\/2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*x = 20, -5*x + 3 = 2*h - 5. Suppose 3*v + 2 = -p + 6, 0 = h*v. Suppose -i + 44 = -3*n, -180 = -3*i + p*n - 7*n. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4004*s**2 + 6*s**4 - 8021*s**2 + 4015*s**2 + 1 - s - s**3 to g*s**2 + n*s + r*s**3 + y + q*s**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/254 and 7\/12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 2*r + 4*r + 0*r - 98.\nAnswer: -2*r - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 864 + -862. Which is the second smallest value? (a) -2\/137 (b) -2\/9 (c) 1\/5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -57*a - 17. Calculate the remainder when u(-4) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2) + 9 + -3. Suppose -r*l + 2*l + t = 13, 3*l - 2 = 4*t. Let y(o) = -o**2 - 6*o - 5. Let s be y(l). Sort s, -6, 0 in descending order.\nAnswer: 0, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/31 in -1, -0.3, 3, -10\/9, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 11*a + 12 = 0. Solve 3*k + a*p = -0 + 6, 0 = -k - p + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33244 - 39839 - 2105*f + 6500*f wrt f?\nAnswer: 4395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 6. Let q(t) = 1. Let v = 6 + -41. Let a = 36 + v. Let g be a*(0 - 4)\/4. Determine g*j(y) - 6*q(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 = -4*v, -2*z + 3*v - 2*v = -13. What is the third derivative of -z*h**4 + 22*h**3 + h**2 - 22*h**3 wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 558627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -0.4 (b) 0.2 (c) -1\/4 (d) -1\/3 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 7 + 67. Let p(f) = f + 6. Let j be p(l). Let n(z) = -16 + j - 3*z**2. Let t(a) = -4*a. Give t(n(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004281 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15778 (b) 0.2 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98706 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 6. Let n(l) = -l + 1. Calculate d(v) - 6*n(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 148 - 11*f**3 - 9*f**3 - 75.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11950*m**2 + 64423*m**2 + 26894*m**2 + 74690*m**2 + 19265*m**2.\nAnswer: 197222*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b + 112. Let h be r(18). Let l(z) = -z**2 + 39*z + 51. Let n be l(h). Solve -4*m + 5 = -y + 16, 3*m = -2*y - n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-1 - -5) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6644 = 1500. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2147 - 1760 + 1274)*(b + b - 4*b)*(0 + 2 + 0)*(-2 + 2 + 1) in the form g + y*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 2. Let o be p(-2). Suppose 5*t = 0, 2*m = -0*t + o*t - 16. Let s = m - -11. Which is greater: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 18, -5\/7, 73, 0, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601794472, 601794471, 601794470, 601794469, 601794468?\nAnswer: 601794467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:23 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-11 + 6) - 2 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -145*b**8\/112 - 13*b**5\/12 - b**3 - 3121*b**2. What is the third derivative of q(o) wrt o?\nAnswer: -26100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 15*c + 10. Let r be g(15). Suppose -k = -r*k + k. Suppose k = -54*m + 59*m. Solve m + 4 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51277*u - 592591 = 51258*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 32*k**7\/21 + 2*k**6\/15 + k**5\/10 + 4900*k**3\/3 - 98*k - 50. What is the second derivative of u(f) wrt f?\nAnswer: 1280*f**3 + 48*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+80524264\nAnswer: 80524263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, 0, 303 in descending order.\nAnswer: 303, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j + 2. Let l be z(-5). Let r be l\/2*(-8)\/(-12). Is 61\/3 - r\/12 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 - 2*t + 2. Let n = 22 - 20. Let i be w(n). What is the highest common factor of 126 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.469 + -178300913724?\nAnswer: -178300913723.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 0.23326, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 2*w + 3. Let z(v) = -3*v**2 - 3*v - 4. Suppose 3*s + 2*x + 5 = -0*x, 2*s + 12 = 3*x. Give s*z(u) - 4*r(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -60. Put m, 3\/5, 21 in ascending order.\nAnswer: m, 3\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**4)\/d)*d**(-10)*d**13*d*d*d**(-1\/13))**22 assuming d is positive.\nAnswer: d**(550\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5103 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (3 + sqrt(11) + 1) - (sqrt(11) + 0 + -3).\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 7:18 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23794 divided by -6.\nAnswer: -11897\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*q, -f - 4*q - 134 + 144 = 0. Suppose 0 = 2*j - 4. Solve 6 = -j*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdtdd. What is prob of sequence dd?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*g**4 + 2*g**3 + 5*g**2 + 5142*g wrt g.\nAnswer: 1596*g**2 + 12*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 + 108 = -3*o, -4*w + 3*o + 159 = 0. Solve -16*b = 20*b - w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4759 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 11:00 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, l: 3, f: 1}. What is prob of sequence cfl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.1325 + -39.13. Let q = x + 12. Let h = q - 0.01. Round h to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 2*f**2 + 6*f + 7. Let l be (-3)\/(-18)*-4*(-9)\/(-2). Let m be w(l). Let c(k) = 3*k + 2. Give c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmeeeemjejejjej. Give prob of picking 1 e and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/929898 and 139\/2394.\nAnswer: 6509286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16505*f - 2310 = -16967*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x - 298. Let g be i(19). Suppose -g + 0 = 3*n, 4*u + 2*n + 28 = 0. Let k(v) = -v**2 - 6*v + 2. What is k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02786 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 289*g**2 - 704*g + 124. Determine i(142).\nAnswer: 976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/301)\/(1050\/15050))\/((-2)\/(-144)*1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t. Let s(a) = -36778*a**2. Determine s(l(y)).\nAnswer: -331002*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35702839, 1, 5 in increasing order.\nAnswer: 1, 5, 35702839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10.72, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 710, -0.4, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*v - 3, 5 - 8 = 3*o - 4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 300*m**2 - 58*m + 1. What is the thousands digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 - 8*m**3 - 6*m**2 + 8*m + 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -147, -12738, -3 in decreasing order.\nAnswer: -2, -3, -147, -12738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407168115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6*y - 6 = 4*y, 0 = -4*l + y - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150791 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/216*600\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3598866 divided by -17.\nAnswer: -211698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3692 - 3650. What is the lowest common multiple of 1824 and m?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10125\/(-20))\/27*-104. What is the greatest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627c (base 16) to base 9.\nAnswer: 37523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355.319 - 0.681. Let z = o - -351. Which is the closest to 2? (a) z (b) -2\/13 (c) 0.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1941*y**2. Let u(g) = 435*g**2 + 438*g**2 + 442*g**2 - 1314*g**2. Determine u(q(j)).\nAnswer: 3767481*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920667 is divided by 645?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (1 - (8 + 2)). Suppose -u*v = -v - 265. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 15*b**2 - 10*b + 16. Give j(-14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20, -4*k = -p - 106 - 75. Calculate the greatest common divisor of k and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/84 - 33\/7) + -27. Which is greater: j or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 + o**2 - 3*o + 3. Let l(v) = 5*v**3 + v**2 - 2*v + 2. Let r(p) = -3*l(p) + 2*m(p). What is the tens digit of r(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10156.\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + 278339?\nAnswer: 278322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33846 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231 + -92. Let w = 1304 - 1257. What is the remainder when c is divided by w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 - 3.2. Let s = n - 0.1. Let v = -2 + 1. What is the nearest to v in s, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*h + 613 + 601 - 1214.\nAnswer: -223*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 13*w. Let z be y(13). Suppose z = 3*h + 6, -2*j = -5*h - 0 - 56. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 46.68655 decades?\nAnswer: 0.4668655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**4 + v. Suppose 3*k + 3*k = 162. Suppose -7*h = 2*h + k. Let z(o) = -5*o - 1. Let f(y) = h*z(y) - 15*b(y). Differentiate f(a) wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 3, r + 4*d = 36. Suppose r*b = 12*b - 72. Let f be 0*(b\/(-4))\/9. Put f, 3, -7 in descending order.\nAnswer: 3, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*(-220)\/(-15) + (-6)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017 = 2*u + 5*g, 0 = -8*u + 6*u - 7*g + 1027. Calculate the greatest common factor of u and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = q - 2*q + m, -2*q - 5*m = 7. Is 62\/q + (-4)\/(-8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1571930\/11 at most -142904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 17*g**3 + 2*g**2 - 11*g**3 + 6 to n*g + p + t*g**3 + h*g**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 - 3 = -3*u, 2*l - 3*u - 4 = 0. Let d = 2 + l. What is the units digit of (-1)\/3*-3*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*j + j - 5*u, j = 3*u. Let y = j + 8. What is the third derivative of 5*z**3 + z**2 - 5*z**3 - y*z**6 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*472\/248 + -7. Which is greater: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 5. Let l be w(3). Suppose 0 = -l*c - 0 + 6. Let d(s) = -6*s + 4*s**2 - s**3 + 14*s - 6 - c*s. Give d(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264303137 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0734 + -1030270?\nAnswer: -1030269.9266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((100\/12)\/(-5))\/((-3)\/9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 31. Solve -2*q - 4*w = -q + 4, 0 = -4*w - u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/42*(-12)\/(-10))\/(-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9773107?\nAnswer: 2351, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 719*h**3 - 8*h**2 + 5*h - 5. Let t(v) = 716*v**3 - 6*v**2 + 4*v - 4. Let q(a) = 5*t(a) - 4*y(a). Factor q(x).\nAnswer: 2*x**2*(352*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x. Solve 0*z + z + 4 = x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 172*r**5\/5 + 6012*r**2. Let l(p) = -5*p**2. What is l(q(x))?\nAnswer: -21300480*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 - 3*m - 4. Let x be l(3). Let b be 64\/x - 1\/(-5). Is 1*b + -5 + 6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 13 + 1\/3*y**3 + 9*y - 1\/20*y**5 - 1\/2*y**4 - 3*y**2. Let d(g) be the first derivative of z(g). Give d(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*t - 16, t - 11 = -2*c - 2*t. Suppose -c = -4*r + 48. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 2. Suppose -21*i + 4 = -23*i. Let c(p) = -9*p**2 + 7. Let u(s) = i*c(s) - 7*z(s). Let x(h) = -17*h**2. Give x(u(l)).\nAnswer: -153*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102622644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l**2 + 121*l + 5. Calculate d(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14033?\nAnswer: 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/143829 and -31\/27.\nAnswer: 143829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 5*h + 9*h - 5*h - 5. Let y(p) = p**3 + p**2 - 2*p + 2. Let d be y(1). What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1880.12524 - 1880. Round p to 3 decimal places.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3738330 by 207685.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 866 - 26. What is the highest common divisor of k and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-4))\/((-6)\/(-3)))\/(1053\/810)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:57 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 2:10 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -10*d**3\/3 + 4*d**2 - 42. Let f(g) = g**2 - g. Let h = -5 - 3. Determine h*f(v) - u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooxoooxooooxoooxx. Give prob of sequence ooxo.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from {i: 1, m: 4, h: 3, s: 6}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 3*v - 19, 5*v = 4*f + 25. Let a = 22 + f. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -659 by -10014.\nAnswer: 659\/10014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3626817 divided by -3626817.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Let x(o) = -39*o - 26. Let w be x(-1). Suppose w*p + 4 = 17. Solve g*q - 35 = -3*m - 2*m, -3*q + p = -2*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000767502 rounded to 5 dps?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d - 1 - 16*d + 4*d)*(-d + 3*d + d)*(-1 + 2*d + 1) + 4*d**3 - d**3 - 2*d**3.\nAnswer: -227*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 2. Let d be w(5). Suppose -5*n + 6 = -3*n. Let q be 2\/n + d\/3. Solve 4*h = 4*v + 12, v = -h + 10 - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 + 604*v**3 - 23688*v**2 + 219024*v = 0.\nAnswer: -338, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let p(z) = -193*z - 1. Give p(s(t)).\nAnswer: -193*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -57096 >= -57096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twwt when four letters picked without replacement from {t: 3, w: 3, l: 9, x: 5}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44975, 89953, 134925, 179885, 224827, 269745, 314633, 359485?\n\"Answer: -v**3 + 3*v**2 + 44976*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Which is the nearest to 48? (a) -3 (b) -4 (c) -4\/21 (d) -0.4 (e) 349 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75567448739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -26.1. Let q = 0.6 + h. Sort -4, q, 1\/3.\nAnswer: -4, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572922446?\nAnswer: 2, 3, 53, 613, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*t**3 + 128*t**2 + 10*t - 66641 wrt t.\nAnswer: 12*t**2 + 256*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.123 - -3.123. Let o = 1005\/2 - 502. Which is the third biggest value? (a) o (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-2\/5))*j)**(-33\/4)*(j**(2\/7))**(1\/7) assuming j is positive.\nAnswer: j**(-4811\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*h**6 + 4*h**2 + 23*h.\nAnswer: 8880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 13*w**3 + 9*w - 19*w**3 + 1 + 2*w**2 - 3*w**4 + 2*w**4 to f*w**3 + q*w**2 + s + o*w + c*w**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from {d: 2, r: 1, b: 2, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 227.\nAnswer: -3\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 605\/9 + (-6)\/27. Let f = m - 22. What is the greatest common divisor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2691 and 37375.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 30, -3, -31.\nAnswer: -31, -3, 0.5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 340764576 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: Let i(l) = -3*l**2 - 35*l + 5. What is the hundreds digit of i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/137540304 and -53\/48?\nAnswer: 137540304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -137, 3965, 10803, 20377, 32687, 47733?\n\"Answer: 1368*u**2 - 2*u - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331))**2 + 0 + sqrt(1331) + 1 - ((sqrt(11) - (sqrt(704) + sqrt(704)*-3)) + (sqrt(275) - (sqrt(275) + sqrt(275) + 0)))**2.\nAnswer: -252 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 34 = 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:16 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(400))\/(1*sqrt(98) - sqrt(2))*1)**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 12*c**2 - c - 148. Let a be w(-13). Solve a*p = 17 + 187 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26264)\/15477)\/((-14)\/36)?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-6) - (-1)\/(-2). Suppose -m = p*m - 105. Let a = 3 + m. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkixiimkix. What is prob of sequence iix?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 1. Let x be w(-1). Let n(l) = -3*l + x*l - l + 6*l. Let u(k) = -15*k**2. Determine u(n(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21 + 2 - 20*i + i**2 + 0. Let a be q(21). Suppose 3*v - 3*x - 45 = 0, -v - 5*x + 45 = a*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 3, q: 3, y: 2, m: 1}. Give prob of sequence my.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6371889 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5180\/7350 + 12\/(-70).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-3))\/(4\/(-2)). Let y = -13\/6 - -2\/3. Which is the closest to f? (a) 0.4 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-6)*(5 + -2). Calculate the common denominator of (r\/(-270))\/((-2)\/110) and 3\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3282 - 3157. Let a(h) = -2*h + 9. What is the remainder when s is divided by a(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5148740 and -16\/7.\nAnswer: 36041180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.12, 0.9, -0.2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 430857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 - 44541135*i - 661304235696075\/2.\nAnswer: -3*(i + 14847045)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241723 + 2245?\nAnswer: -237456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89131 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:20 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18728 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let q(y) = 3*y - 1048. Let o(g) = -g + 15. Let u(n) = -2*o(n) - q(n). Give p(u(a)).\nAnswer: -a + 1018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 2. Suppose -2*a = -3*b + 1, -a + 4*b + 7 = 5*b. Let r be (-6)\/(8\/a) + -2. Calculate o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = 5. Suppose 3*w - 2*a = 3*a + 9, 3*a = -5*w + 15. Suppose 4*m = -n*k + 20, -5*k - 40 = w*m - 5*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z + 20. Let p(i) = 0 - 6*i - 10 - i. Let w(h) = 11*p(h) + 6*q(h). Calculate w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**3 + 0*d**4 + 0*d + 0 - 1\/70*d**7 + 1\/15*d**5 + 0*d**6 - 2*d**2. What is the third derivative of w(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*c + 7*k - 3*k, 2*c + 2*k - 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(0 - 3\/(-2)). Let b(p) = -4*p - 34. Let i(d) = -d - 11. Let o(q) = 2*b(q) - 7*i(q). Calculate o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:27 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 13 = -h - 0*i, 0 = -2*h + 2*i + 10. Let k = 5.1 + -1.1. Let c = 4 - k. What is the nearest to -2\/3 in 0.1, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t. Let v(n) = 20*n + 1. Let m(g) = 3*s(g) + v(g). Let z(a) = 2*a - 5. Let d = 0 + 0. Let l be 5 + d\/(-2) + 0. Determine l*m(y) + z(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.79, 0.3, -3, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2685 and 143\/750?\nAnswer: 134250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 39. Let m be y(11). Suppose 2*l - 32 = -m*l. Solve l = -2*x + 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 6509802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/8 (b) 0.2 (c) -3\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w + 1. Let f(b) = b**3 + 4*b**2 + 2*b - 2. Let y(l) = -l + 16. Let h be y(15). Let j(u) = h*f(u) + 2*m(u). Determine j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/579 and 53\/613161.\nAnswer: 613161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69581826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 686 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41799 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/78*-2*16\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -36*i**3 - 36. Let a(t) = 7*t**3 + 7. Let h(w) = -21*a(w) - 4*m(w). Differentiate h(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, -1\/24, -7 in descending order.\nAnswer: 2\/7, -1\/24, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 132*d - 22. Let x(w) = 284*w - 43. Let p(y) = -13*q(y) + 6*x(y). Determine p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*n + 2738 = 674, -3*n = 5*u - 5152. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.999957 - 32. What is i rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 8*a - a. Let j(g) = 5 - 1 - 4 + 2*g. What is j(p(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 876462 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 359013669307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10223 + 110?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177.749 - -0.251. Let w = c + -178.03. What is the nearest to 0.3 in 4, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -73, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 128. Let t be 4\/((24\/15)\/4). Let q = -2 + t. Calculate the greatest common factor of q and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dd97 (base 14) to base 11.\nAnswer: -268a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30764.\nAnswer: 2, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -1*sqrt(171))*6)**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/420 + 2*m**7\/175 - m**6\/150 - m**5\/25 + m**4\/15 + 6*m**2. Find v, given that u(v) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let p = 9 - 8. Let t = p + c. What is the nearest to t in -0.5, 2\/13, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from emcejdq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, 38, 168, 426, 854?\n\"Answer: 7*n**3 + n**2 - 8*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/16031)\/((-53)\/(-901))*(-23)\/((-3)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 + 6*g - 6. Let b be m(4). Suppose 2 = j - b. Suppose -5*i = j*a + 7, -4*i - 11 = 5*a - 0. Sort -4, -1, a in decreasing order.\nAnswer: -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -793 - -755.7. Let l = -32 - i. Round l to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 773121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 92 - 6. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 46*z + 5.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 + 5 + -3). Let u = -23 + 26. Let p be 3 + (-6)\/51*-1 - u. Which is the closest to p? (a) q (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189891760 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -45 - 61*n + 0*n**2 - 55*n - 43 - 24 - 4*n**2 = 0?\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = 4*n, -11 = -3*n - 2*r + 6*r. Let l be -19*(-4 + (0 - n)). Let f = -17 + l. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74038 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3204212 - 3204206.9999994. Let p = -0.7 + -4.3. Let z = j + p. Round z to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*x*y**2 + 147893*k**2*x + 1089*k*x + 2*k*y**2 - 14*x - y**2 wrt k.\nAnswer: -2*x*y**2 + 295786*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -k - 0, -5*k = -4*f - 19. Let z = 22824 - 22878. What is the third smallest value in k, -1\/4, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m - m = 143 + 297 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**6\/120 + s**4\/24 + s**3\/2 + 4*s. Let y(q) be the second derivative of a(q). Differentiate y(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.124 and 2715.\nAnswer: 2700.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 81, 0 in increasing order.\nAnswer: -21, 0, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 202189.4 kilometers?\nAnswer: 202189400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 145 and 377.01151?\nAnswer: 232.01151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -0.1, -0.2, 3.\nAnswer: -6\/11, -0.2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.4518*-0.4.\nAnswer: 28.98072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.582, 3, 12, 0.5?\nAnswer: -0.582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021022 - 1?\nAnswer: 12021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 + 472. Calculate the highest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 8*u**2)*(-3*u + 2*u + 3*u)*(2*u + 2*u - 3*u).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)*l)**(21\/2))**36\/(((l**(-3\/5)\/l)\/l**(3\/4))\/(l\/l**(-2)*l*(l*(l*l**(-1\/5))\/l)\/l*l)) assuming l is positive.\nAnswer: l**(10223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 + -179. Which is the closest to l? (a) -1\/2 (b) -1\/5 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 2*i**3 + 2*i**3)*(-5 + 0 + 2)*(-2 - 1 + 5)*(-4 + 3 - 1).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*o**3 - 22*o**3 + 12*o**3 + 2*o**3 + 27*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1943 divided by -44?\nAnswer: 1943\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rntranaaatn. What is prob of picking 2 r, 1 t, and 1 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -m - 1, 4*t - 5 = -3*m + 6. Suppose j - g = 10, t*j = -0*g - 2*g. What is the highest common factor of j and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 27 = 0, -2*j = 30038*l - 30036*l - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24024061 to the power of 1\/2, to the nearest integer?\nAnswer: 4901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 235241*d**3*g + 31525*d**3 wrt g?\nAnswer: 235241*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 52) + 17 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -270. Let c = v + 61. Suppose -c = d - 7*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213318 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k. Suppose -10*f - h + 23 = -6*f, -5*f + h = -22. Solve k*u = -4*j + 2*u + 12, -f*j = u - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6287579 years?\nAnswer: 0.06287579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3334 + 1324?\nAnswer: 10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43589485.\nAnswer: 5, 23, 379039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-50)*(25\/45)\/(6\/(-18))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h. Let g(i) = 14*i**2 + 6*i - 3. Let b(s) = -15*s**2 - 8*s + 4. Let y(m) = 3*b(m) + 4*g(m). Determine u(y(d)).\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31174802*f**4 + 10785762*f wrt f?\nAnswer: 374097624*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -131, -132?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004133 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*w - w + 70, -2*p = -4*w + 64. Let n = 12 + w. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8638542 divided by 9?\nAnswer: -959838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.5 and 13.\nAnswer: 253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12230?\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjvg when four letters picked without replacement from {v: 1, a: 1, j: 4, g: 3, u: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3024 divided by 8?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Let h = -13 - -27\/2. Let j = 4.09 - 0.09. Which is the nearest to z? (a) -5 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 284*d - 7392. Let a be w(26). Suppose 2 = 5*l - 3. Sort a, -17, l in descending order.\nAnswer: l, a, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -19*l**3 - 8*l**2 - 798*l + 3223. Give d(4).\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -i. Suppose 15 = -m - 5*d, 3*d - d + i = 0. Suppose -o + 5*o + 144 = m. Is -37 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*t**2 - 49*t**2 + 7*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.2, 6\/13, -1.63, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-3))\/((36\/4)\/(-1)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2015 and 50?\nAnswer: 20150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -193. Suppose -4*s + b + 3 = -0, 0 = 4*s - 2*b - 2. Let z = 3 - s. Calculate the greatest common factor of z and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 4860*w - 33775.\nAnswer: -5*(w - 965)*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1.6. Let p(h) = -7*h + 65. Let l be p(10). Let x be (-4)\/(-54)*(-4 - -1). Which is the nearest to -2\/3? (a) x (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1\/595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6803 - 3958. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 1, p: 1, e: 5, f: 1}. Give prob of sequence tefe.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-115)\/(-20))\/(2\/8). Let p = y - 17. Let r(n) = n**3 + 7*n**2 + 2*n - 7. Calculate the remainder when r(-3) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 7}. What is prob of sequence hn?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 - 22*d**2 + 8*d**2 to k + p*d**2 + o*d and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 399882 plus 4?\nAnswer: 399886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s - 19 = 83 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.27 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -3*z**5\/40 + 7*z**3\/6 + 5*z. Let a(h) be the second derivative of q(h). Let x(y) = -2*y**2. Calculate x(a(w)).\nAnswer: -162*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292920?\nAnswer: 2, 5, 7, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4095885 is divided by 709?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471779?\nAnswer: 31, 176509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63860 + -1.88756.\nAnswer: 63858.11244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5259, -21038, -47287, -84006, -131195?\n\"Answer: -5235*k**2 - 74*k + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162752220 by -204.\nAnswer: -797805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 31 + 47 = 0. Do h and 27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7052804 to the power of 1\/2, to the nearest integer?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 13 + 44. Solve 0 = -j*t + 4*a + 6, 2*t = 5*t + 2*a + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1690, 1688, 1686, 1684, 1682, 1680?\nAnswer: 1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*c + 3*v, -4*c + 5*v - 4 - 22 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:08 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f + 22. Let j be s(-2). Solve 0 = 5*y + 54 - j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from sssfffssssf.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 80, 170, 316, 536, 848, 1270?\n\"Answer: 3*h**3 + h**2 + 28*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -23) + -24 - (-10 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1202*p**2. Let f(c) = 3*c**2. Calculate f(a(l)).\nAnswer: 4334412*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 38 = 5*f, 3*f - 1 = -5*x + 57. Let q = 16 - x. Suppose q - 3 = -r. What is the second biggest value in -0.3, 0.4, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 5. Let w = -14 - -9. Let n be o(w). Suppose h = a - 1, -5*h - 3*a + 6*a = -3. Solve n = h*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.1 + 103. Let c = -8 + 5. What is the nearest to 0.1 in w, c, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1537 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 276983 in 0.4, -1, 4, -3, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8505, 8537, 8615, 8763, 9005, 9365, 9867?\n\"Answer: 4*o**3 - o**2 + 7*o + 8495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 71. Suppose -423 = -5*t - 4*j, -3*j + 251 = 3*t - 2*j. Calculate the remainder when t is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -153*r + 142*r. Solve -4*i - r - 12 = -3*p, 2*p = 5*i + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41925807 is divided by 289.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 775, 832, 911, 1012, 1135, 1280?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55245 is divided by 18363?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i = -396. List the prime factors of 513\/i + 2\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 125 = -73. Let p be 6\/z - (-53)\/11. Find the third derivative of -p*k**2 + 6 - 6 - 2*k**2 + k**5 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l - 1. Let n be y(-1). Suppose -2*v - 3*v - 30 = -5*m, 2*v + m + 21 = 0. Let a = v + n. Solve a*u - 12 = 0, 0 = -2*p + 5*u - 5 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 8. What is k(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 14. Let p(v) = -1. Let o = 3 - -2. Let t(l) = o*p(l) - f(l). What is the derivative of t(c) wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 326 - 518. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -817\/2343 - -12\/781. Sort -0.4, 13\/3, 1\/44, n in decreasing order.\nAnswer: 13\/3, 1\/44, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*q - 18 = 0, 3*b + 3108*q = 3106*q + 3. Factor -3\/7*j**4 + 24\/7*j + 9\/7 + 0*j**b + 18\/7*j**2.\nAnswer: -3*(j - 3)*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*k - 161868 = 373*k. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643.4979 centuries to years.\nAnswer: 64349.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.56 + -0.86. What is the nearest to 0.8 in 0.3, g, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/3 - 545*w**4\/3 + 38318*w**3\/3 - 159991*w**2\/3 - 109076*w\/3 + 89780\/3 = 0.\nAnswer: -1, 1\/2, 5, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l - 1. Let m be ((-28)\/8)\/7*-2. Calculate u(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -482939*u**2. Let g(j) = 13*j. What is f(g(c))?\nAnswer: -81616691*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 1. Let m(u) = -6*u**3 + 8*u**2 - 6*u - 2. Let a(v) = 6*i(v) + m(v). Let g(t) = 4*t**3 - 5*t**2 + 5. What is -5*a(r) - 8*g(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.3. Let q = -1.28997 - -0.88997. Let z = -4.3 - -4. What is the nearest to -1.3 in h, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 - -28 - (-1)\/(-1). Suppose -5*c + g = 5*l, 20*l = 23*l + 4*c - 26. Suppose -4*h = -9*h + 20. Calculate the highest common divisor of h and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 0, 2*d - 4*p = -3*p - 30. Let i = d - -10. Let w = 4 + 1. Put i, w, -2 in decreasing order.\nAnswer: w, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597692.\nAnswer: 2, 149423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -6 - (-46)\/(-20). Suppose 16*s = 21*s. Suppose s = -g - g. Are g and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2792, -7424, -12056?\n\"Answer: -4632*h + 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -1\/20*z**5 + 0*z**3 + 0 + 0*z**4 + 7*z - 9\/2*z**2. What is the derivative of y(o) wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let i be 3 - -1*(1 - 0 - 0). Suppose -b - 147 = -i*b. Let g(r) = 5*r + b - 49. Give x(g(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -17513570 divided by -5\nAnswer: 3502714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 11997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -485*t**2 + t + 13. Let y(o) = -2*o**2 + o. Let d(z) = -q(z) - 5*y(z). Is d(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5 + 21985*s**4\/2 + 14176038*s**3 - 5179013523*s**2\/2 - 648262521*s = 0.\nAnswer: -2829, -1\/4, 0, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -96*k + 97*k, 0 = w + 5*k - 19. Let o(g) = 3*g**2 + 6*g + 4. Let d(v) = 3*v**2 + 5*v + 3. What is w*o(q) - 5*d(q)?\nAnswer: -3*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 3046794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(99) + -2 + sqrt(99))**2*3.\nAnswer: -3600 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*n*t**2 - 4*n*t + 9*n + 6 with respect to t.\nAnswer: -70*n*t - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in -131, 1.5, 230?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:03 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 7 - 14*w - 7 + 2*w**2.\nAnswer: 2*w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6586 by 4.\nAnswer: -3293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.6 - -23. Let a = 0.29 + -0.3. What is the second biggest value in a, -4, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 24083*w**2 + w + 42640*w**2 to l + k*w + j*w**2 and give j.\nAnswer: 18557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/2753 + -156891\/27530. What is the common denominator of o and -18\/53?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*i = -3*y - 3200, -y + 1600 = -5*i. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4227475 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 24\/22)*(-151910)\/103575?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3390, 3385, 3372, 3345, 3298, 3225, 3120, 2977?\n\"Answer: -l**3 + 2*l**2 - 4*l + 3393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*v - 45*v + 37016 = 349*v for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28148, -56299, -84448, -112589, -140716, -168823, -196904, -224953?\n\"Answer: m**3 - 5*m**2 - 28143*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:47 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 332, 299, 232, 119?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/120 + b**5\/60 - b**4\/8 - b**3\/3 + b**2. Let r be (3\/(-6))\/(1\/(-2)). Let z be (4\/(-10))\/(r\/5). Give x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (11 - (29 + -21))) + (-2 - -35)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 437177341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -1.63. Let w be (3 + -6)*(16\/12)\/4. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {g: 2, r: 5, z: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 + p + 7. Suppose n = -1 + 5. Let a(s) = 22*s - 3. Calculate the remainder when a(n) is divided by f(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -3, 5, 9, 9?\n\"Answer: -2*j**2 + 18*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/7 + ((-1860)\/(-210) - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/4 - 63*a**4\/2 + 58477*a**3\/4 + 147239*a**2\/2 + 118059*a + 59090 = 0?\nAnswer: -311, -2, -1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10159 = 6*w - 10159 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f*(((f\/(f*f*f*f**4))\/f)\/f)\/f)\/f*f\/f**(-2\/9)*(f**(2\/5))**(-10))**5 assuming f is positive.\nAnswer: f**(-440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35612.93us to nanoseconds.\nAnswer: 35612930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 365504661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -685 (b) 0 (c) -2 (d) -1\/3 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 165695.\nAnswer: -33139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + -0.04. Let z = -0.03 + -0.97. What is the biggest value in z, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 6. Let g(p) be the third derivative of -5*p**4\/24 - 3*p**3 - 4*p**2 + 2*p. Calculate -3*g(n) - 8*w(n).\nAnswer: -n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 4*j**2 - j + 5. Let x be y(4). Let a be (3 - x)\/(6\/9). Is a*(1 + (-22)\/(-6)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2154815 divided by 61\nAnswer: 2154815\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 + 20*q**3 - 15*q**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 28. Suppose n = 2*n + 12. Is 9 a factor of o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:45 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139380588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-511)\/(-128) + (-2 - 2)). Calculate the greatest common divisor of n and 800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 41. Let i(w) = w**2 - 3 - w + 2 + 0*w. Let f be i(3). Solve 4*g = -f*a - v, 3*g = g - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 7*h**2 + 5*h - 6. Give i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/13)\/(w\/w**(-8\/9))*w**(-10)*w**35*w assuming w is positive.\nAnswer: w**(2785\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65836?\nAnswer: 2, 109, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3) + 2 + (-232)\/240.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - sqrt(88)*2)) + sqrt(88))\/sqrt(8) + (sqrt(22)\/(sqrt(2)*3))**2 + 4.\nAnswer: 47\/9 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*t + 11 = 0, t = -2*p - 3 + 4. Suppose 17*s - 12*s + 5*u = -5, 3*s = 4*u + 25. Let o be (-3)\/(87\/28 - s). Sort o, 3, p in decreasing order.\nAnswer: 3, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:46 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -474? (a) -1\/3 (b) 5 (c) -2\/13 (d) 0 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*u + 79*u + 15*u**2 + 2 - 2 - u**2 + (2*u - 1 + 1)*(4*u + 0*u - 2*u).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-325)\/(-2)*(11991 + 9). What is w rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/4 of a year?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52375 and 711043?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmtc. What is prob of sequence dtm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - b**2 + b**2 + (-2*b - 2*b**2 + 2*b)*(2*b**2 - 5*b**2 + b**2) - 6*b**4 + b**4 + 4*b**4 + 7*b + 5*b**4 - 7*b.\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21616 divided by 1?\nAnswer: 21616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 6 = 5*s. Suppose -d + 2*d - s = 0. Find the second derivative of 2*r - 1 + 4*r**d + 1 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -15*f**3 + f**2 - f + 1. Let k be x(-4). Find the third derivative of -k*m**3 + 981*m**3 - 19*m**5 - 2*m**2 wrt m.\nAnswer: -1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/9*2\/(-6))\/(399\/(-21)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 14*b - 1. Let x(v) = v**2 - 6*v + 8. Let q be x(7). What is the remainder when 39 is divided by j(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(4080\/(-50)))\/((-240)\/(-72)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45019, -87865, -130711, -173557?\nAnswer: -216403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by -4\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 107052096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 3*s = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxqxqxxqr. What is prob of picking 2 q and 1 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Suppose 5*x - 13 = -3. Let i be 258\/(-12) - 1\/x. Let p(a) = 33*a - 22. Let r(w) = i*m(w) + p(w). Let n(t) = -2*t**2. Determine n(r(v)).\nAnswer: -242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*k - 24 = 0, -2*k = 5*t - 13 - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4 - 822232*u**3 - 42254913588*u**2 - 84507360496*u - 42253269136 = 0?\nAnswer: -102778, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n + 2*n)*(2 + 2*n - 2) + 0 - 2*n**2 + 0 + 0*n**2 + 0*n**2 - n**2 + 47*n + 1056*n**2 - 2752*n**2 - 47*n.\nAnswer: -1695*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, 0, -404 in descending order.\nAnswer: 3, 0, -19, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526 by -1132.\nAnswer: -263\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14321*r + 71272. Determine o(5).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406*t**3 + 2754*t**3 - 1445*t**3.\nAnswer: -97*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209696, 419389, 629082, 838775?\nAnswer: 1048468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.15094nm to micrometers.\nAnswer: 0.08415094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 equal to -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6356*l - 63566. Give b(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -7. Let w = 6 + z. Solve w*s + 0*s - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/49)\/(b\/b**(-3\/13)) assuming b is positive.\nAnswer: b**(-771\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, 0.4, 577, -36 in ascending order.\nAnswer: -36, 1\/4, 0.4, 1, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2179, 2174, 2169?\n\"Answer: -5*m + 2184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 + 2.24. Sort -1\/8, t, -7.\nAnswer: -7, -1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:00 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 1. Let m be y(3). Solve m - 2 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u + 1. Let w(j) = 10*j + 3. Let g(f) = 11*i(f) - 4*w(f). What is the tens digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, 0, -25 in increasing order.\nAnswer: -25, -13, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -71 (b) 0 (c) -2\/505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d3 (base 14) to base 7.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 6206*r. Let q(c) = -3140*c**2. What is d(q(n))?\nAnswer: -9859600*n**4 - 19486840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -9, -430446, -2\/7 in ascending order.\nAnswer: -430446, -9, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 h when four letters picked without replacement from hhmmhmmmmmmhhmmmmhh?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i + 225. Calculate the remainder when i is divided by 82\/5 - (-8)\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -134*j**2 + 2345*j - 873. Give h(17).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7*q**6\/120 - q**4\/12 - 2*q**2. What is the second derivative of f(x) wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + 3) - (1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v. Let w(c) = -c**3 - c**2 + 2*c - 1. Let x be w(v). What is the common denominator of (132\/(-64) - 3) + x and -49\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - c**2 - 41*c**3.\nAnswer: -41*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6320815.5 and -4.\nAnswer: -25283262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a day?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-14))\/(-6)*7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-2))\/((-3)\/(-9)). What is the greatest common divisor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/490 and -197\/210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1028 - 5*o - 285 - 275 - 245 - 274. Determine q(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j - 135. Calculate the remainder when f(-20) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**2 - 1\/12*f**4 + 0*f**3 + 3*f + 0 - 13\/20*f**5. Find the third derivative of w(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3900114693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = v - 3*x - x, 0 = -4*x + 16. Let u(d) = d. Let h(i) = i. Let b(m) = v*h(m) + 5*u(m). Let k(o) = 5*o**2. Give b(k(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.07 * 12\nAnswer: -60.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -3. Factor 3*h**4 + h**5 - 4*h**3 + h**2 - 2*h**5 + h**a.\nAnswer: -h**2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 264017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/589, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from {e: 5, o: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/m)\/m**(-2\/11) assuming m is positive.\nAnswer: m**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:08 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -z - 26, 0 = -3*s - 5*z + z + 46. Let x be (-44)\/(-20) + (-2)\/s. Suppose 0*m + x*m = 0. Solve -c - c + 4 = m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 120 = -19*c - 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 2. Suppose 3*p + 9 = 3*s, 0*s = -2*s - g*p - 14. Suppose -m - m = 6. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8927 and -2.\nAnswer: -8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**2 - 4*z**2)*(z**3 - 2*z + 2*z) - 230*z**5 - 65*z**5 - 154*z**5 + (8*z**4 - 8*z**4 - 6*z**5)*(1 + 0 + 1).\nAnswer: -463*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1199 and 88?\nAnswer: 9592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36034 - 36040.0062. Let a = v - -6. What is a rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000031503 to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155049 is divided by 88?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 186 = -2*t - 7*l, 3*l = 9. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:32 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 6:31 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3, -4*l - 8 = -3*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23576028 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 - -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 92*m = -5*w - 48, -3*w = -m - 24 + 40 + 22 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -17. Let v be 6*(1 + (-3)\/z). Let d(p) be the second derivative of p**5\/20 - p**4\/4 - p**3\/3 - 3*p**2\/2 - p. Calculate d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1255269 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 21 = -0*h - 3*h, -4*x = -16. Let o(w) = 2*w + 2. Let q(f) = f + 1. Let a be (6\/4)\/(3\/4 - 1). Determine a*o(v) + h*q(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/54 and 7\/5724.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/150)\/(167\/835))\/(((-150)\/8)\/(-5)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/10*(-105)\/(-126)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let a = -0.07 + -0.03. Is a at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*u - 9 = 0, -3*u + 40 = 5*b - 5*u. Let i(o) = 2 + 3*o - o + 1 - b. Suppose -6*g + 8*g = 8. What is i(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + 1246?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0771068 to 3 dps.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*d + 4*d - 15, 3*d - 9 = 0. Calculate the greatest common divisor of n and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -6*n**2 + n - 951. Let l(r) = -2*r - 2*r + 2*r. Determine i(l(g)).\nAnswer: 24*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (-53 + 57)\/((-4)\/(-17))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31281079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + (-12 - -21) + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 59. Let l be (11 - 8) + 0 + (r - 2). Suppose l*v = 134 + 46. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799494.\nAnswer: 2, 3, 71, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8144, 16258, 24330, 32354, 40324, 48234, 56078, 63850?\nAnswer: 71544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36\/11 - -219\/77. Let c = 0.25 + -0.2. Let q be 2\/1 - 12\/4. Put c, l, q in increasing order.\nAnswer: q, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 12*p**2 + 8*p + 7. Let l be (2\/3)\/((-2)\/36). Let c = l + 2. Is x(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27097 + -27095. Let g = 7 + -3. Solve g*r + i*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 100517 = 4*q, -3*q + 4*d - 75369 = -6*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.972 + 26.02. What is the biggest value in f, 1, -1\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52750, -52793, -52874, -53011, -53222?\n\"Answer: -3*w**3 - w**2 - 19*w - 52727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -2*i + 4*f, i + 2 = 2*f. Suppose 0*x + 10 = -5*x, 0 = -5*b + i*x + 79. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + 0 + sqrt(75)))*4*6)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35581)\/2737)\/((-26)\/(-246)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 + -109. Let h be 16\/20 - w\/80. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232013 (base 4) to base 2.\nAnswer: 101110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 5. Let r be 299\/(-92) - (-90)\/24. Let l(g) be the second derivative of -r*g**2 + 1\/6*g**3 - 16*g + 0. Give -15*l(f) + 3*u(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/2 + 53569*o**2\/2 + 26791*o - 321420 = 0.\nAnswer: -4, 3, 53570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1486 - 1970 = -6*t. Suppose -25*l + 9 = -22*l, 2*u = -4*l + t. Calculate the remainder when u is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 49 = 4*r, -5*y + 2*r - 60 = 45. Let n be (-2 - (0 + -1)) + y. Let b be 4 + 4\/((-5)\/((-150)\/(-4))). Are b and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 4 = 5*i. Let l(y) = y**2 - 50*y - 137. Let b be l(52). Let x(d) = 13*d + 458. Calculate the remainder when x(b) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9071\/44 or 206?\nAnswer: 9071\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -56. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.32 * 23.\nAnswer: 53.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 843 + -387. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4982\/3, -62, 4 in ascending order.\nAnswer: -4982\/3, -62, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -146987 - 2?\nAnswer: -146989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*x + 17*x + 130 + 86. Factor 0*k + 0 + 0*k**3 + 0*k**2 + 1\/3*k**x.\nAnswer: k**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/1*(-16)\/10. Suppose w*y - 10*y = -24. Does 12 divide 6\/9 + 268\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:33 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 29. Let y(x) = -10*x - 14 - 4 - x**2 + 10 - 7 - 1. Determine y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*g**4*h**2 - 95*g**2*h**2 + 1227*g*h**2 + 15*h + 4 wrt g.\nAnswer: 1332*g**2*h**2 - 190*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l**2 + 1 - 11 + 1. Let o(p) = -4*p**2 + 2. Let f(k) = -2*m(k) - 9*o(k). Let u(g) = -2*g**2. Give f(u(s)).\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -13.44. Let x = -47 - -34. Let l = x + w. What is the closest to 0.2 in -2\/15, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -585608149242817.\nAnswer: -585608149242816.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 4) in base 9?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -348215 + 2097455\/6. Let m = j + -5463\/4. What is the common denominator of m and -93\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153 - 155. Which is the third smallest value? (a) -6 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3 - j**3 + 6*j - 3 + 6*j**2 - 3*j**2 + 0*j**3. Let o be m(4). Find the third derivative of -5*g**o + 81*g + 26*g**6 - 81*g wrt g.\nAnswer: 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*a + 50, -8*b - a = -540 + 534 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 29 - 22. Let g(j) = -5*j + 4. Let h(x) = -14*x + 11. Let z(w) = v*g(w) + 6*h(w). Calculate z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44780.31310652 + 44378.3131. Let y = u + 402. What is y rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9745 - 27540 + 829 = -1302*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(1452))**2.\nAnswer: -44*sqrt(3) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, z: 3, m: 5}. Give prob of sequence mt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2997 divided by 999.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x - 2*x**2 - 8*x**4 - 6*x + 1 + 10*x**4 to z*x**3 + o*x**2 + m + p*x + v*x**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 + 3*x + 31. Let a be u(-9). Suppose -s - 5*c + 786 = -a, 5*s - 2*c = 7190. Is (0 - 4 - -3) + s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -0.4 (c) 0.1 (d) -2.21 (e) -5 (f) -2\/13 (g) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1*0\/3)\/(14\/(-7)))\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*f = -29306, 6*f - 87954 = -3*h + 9*f. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 3\/6*0. Suppose m*l = 28 - 3. Suppose 3*r = -2*r. Solve b - l*b - 12 = r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(9)\/sqrt(3))**2 + 3*sqrt(48))*4 - (-2*sqrt(147) + -4 + 2*sqrt(147)*-1).\nAnswer: 52 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.826 - -9.2124. Let y = l + 39.7. Round y to 3 decimal places.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 + 10*b**3 - 23 + (-2*b + 4*b - b)*(4*b**2 + 0*b**2 - 5*b**2) + 0*b + 0*b - 2*b**3 - 4*b - 2*b**3 + 4*b + 5*b**3 - 4*b**3 - 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 302.66467433548 from 0.4.\nAnswer: -302.26467433548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**5 + 2*b**4 + 6*b**3 - 4*b**2 - 6*b. Let g be 3 + -3 + (4 - 3). Let d(v) = v**5 + v**2 + v. Let h(o) = g*f(o) + 2*d(o). What is m in h(m) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15840000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1344, 0, 415, 4, -1 in descending order.\nAnswer: 1344, 415, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14409*u**4 + 2*u**3 + 367*u**2 + 39*u + 2 wrt u?\nAnswer: 345816*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 22*v**2 - 8*v + 80. What is the units digit of r(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -75*m. Let i(s) = -1510*s**2. What is i(n(o))?\nAnswer: -8493750*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5614.0005359 + 5614. Round o to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7832200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62869538257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*k - 4168 = -1308 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b82c (base 16) in base 6?\nAnswer: 5120300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 4*p - 17. Let v be s(-7). Let z(l) = v*l**2 - l**3 - 64*l + 2*l**3 + 66*l + 4. Suppose -4*i = c + i + 29, 4*c = -3*i - 31. Give z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 6*u - 15 - 386*u**2 + 388*u**2. Calculate the remainder when 115 is divided by s(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16010, -81492, -259222, -605324, -1175922, -2027140, -3215102, -4795932?\nAnswer: -6825754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3 and -32\/61.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = 31*o. Let g(v) be the second derivative of 0 - 5\/6*v**3 + 0*v**2 + o*v**4 - 4*v - 1\/4*v**5. Find the second derivative of g(r) wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(130)\/(sqrt(30)\/sqrt(3)) + ((sqrt(13) - sqrt(52)*-5)**2 - sqrt(13)) - ((1 + sqrt(13) + -3 - sqrt(117)\/sqrt(36)) + -5).\nAnswer: -sqrt(13)\/2 + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 6) to base 11.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53344 + 5?\nAnswer: -53335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -611 by -13.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -626647910 - -626879846.9876. Let k = j - 231988. Let m = -51 - k. What is m rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -507\/2 - 3\/2*y**2 - 39*y = 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 1 = 0. Solve 0 = o - q - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let y(i) = -18*i. Give -12*j(s) + y(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 7*a**4 + 98*a + 0*a**2 - 1 + 65\/3*a**3. What is the second derivative of t(p) wrt p?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 3, -0.1, 1835\/51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkz when three letters picked without replacement from {k: 1, j: 2, z: 6, t: 6, e: 1, x: 2}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -10108595?\nAnswer: -1010859.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/3*(-42)\/35. Sort 5, a, -5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -51, -2, 99, 270, 529, 894, 1383?\nAnswer: 2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25600)\/(-48))\/((-4)\/(-42150)). Round v to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124860179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*4\/18 - 2\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832278346.\nAnswer: 2, 3, 1627, 32237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -2*q - 8. Let h = 61 + q. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 20800 = -40*p. Let d = 5891 - p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 + 51*t - 3. Let l(q) = 2*q**2 + 49*q - 2. Determine 3*l(g) - 2*o(g).\nAnswer: -2*g**3 - 2*g**2 + 45*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p. Let q(k) be the second derivative of k**4 - 46*k. What is q(c(w))?\nAnswer: 768*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*b - 9*r + 12*r, r + 14 = 2*b. Solve b = u + 2*o, u + 3*o = 12 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + ((-1952)\/(-183))\/((-2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/11)\/(p\/(p*p\/(p\/p**(-2\/15))))*p**(2\/21)\/p**(1\/5) assuming p is positive.\nAnswer: p**(-118\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 116*v**2 - 115*v + 4. Let g be o(115). Suppose -4*n + 10 = -10. Sort -4, 29, g, n.\nAnswer: -4, g, n, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 = -4*a, -5*a + 25 = 5*v + 75. Let x be 1602\/36*v\/(-1). Find the second derivative of -9*q**5 + x - 11*q - 267 wrt q.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112509\/64300 - 4\/16075. Let y = -901929439 - -3586071474831\/3976. Let s = -330\/71 + y. Calculate the common denominator of s and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 9*i + 6. Let a be 4 + -1 - i\/(-1*3). Let l be (-2)\/(-6) + (-29)\/(-3). Calculate the highest common factor of l and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(-68*(-10)\/300*5)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14955 (base 11) to base 14.\nAnswer: -79a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 23, -285, 1, -540 in descending order.\nAnswer: 23, 1, -4, -8, -285, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*-2 - sqrt(288) - sqrt(288)) + sqrt(288))*-5 + -5*sqrt(72))**2.\nAnswer: 45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p. Let u(w) = 7*w. Let q(a) = 3*u(a) + 4*v(a). Let j(x) = -x. Let o = 0 + 2. Let c(g) = o*q(g) - 9*j(g). Let k(b) = 3*b. Calculate c(k(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/7*b**2 + 2*b + 2\/7 = 0. What is b?\nAnswer: -1\/2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 190 = 2*h. Suppose 5*l - 2*x = 66 + 29, -2*l + h = -x. Calculate the greatest common factor of l and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109250 and 7360?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.04 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:15 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 34*p**3 + 54*p**3 + 2472*p**2 - 2472*p**2.\nAnswer: 88*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-13)*-2*(-1)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 973 - -922. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 3*a**2 + 2. Let z be g(-3). Let k(s) be the third derivative of 0*s + 0 + 1\/6*s**4 - z*s**2 + 1\/2*s**3. Differentiate k(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 71a947 + 92?\nAnswer: 71aa19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {d: 17, p: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -141, -0.3 in ascending order.\nAnswer: -141, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = 19*d + 30*d - 1561 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -741 and -197667471154.\nAnswer: -197667471895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + (sqrt(396) + 2*sqrt(396) + -1 - sqrt(396)))**2 - ((2*(-1 + sqrt(396)))**2 + sqrt(396))) + 4.\nAnswer: 6*sqrt(11) + 1981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 144 = m + x, -x = 0. Let q be m\/(-27) + (-8)\/6. Solve q = 2*y - 3*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/397568880 and -47\/35.\nAnswer: 2782982160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 984168780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 854977 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 121*w**2 - w. Let z(c) = 964*c**2 + 5*c - 962*c**2 - 5*c. Calculate z(r(i)).\nAnswer: 29282*i**4 - 484*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088)*2)*1.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4577 and 6.\nAnswer: 27462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807154 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -10314.\nAnswer: 10309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + -2257?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 101. Let n(b) = -2*b**3 - 15*b**2 - 9*b - 4. Let s be n(r). Solve 4*v - s = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 66 = -26*n. Calculate the lowest common multiple of 22 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 11*k + 131. Let o be j(-18). Suppose -2*b = -2*t - 3*b + 5, 4*t - 2*b - 22 = 0. Sort o, 27, t in decreasing order.\nAnswer: 27, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or 3\/130381?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73094222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.755 rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-4 + 3))*2. Let v be ((-5)\/10)\/(w\/24). Suppose v*b - b = 135. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/528*(-4565)\/(-3486)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.84 + -99. Let j = -293.1528 + 293. Let g = m - j. What is g rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002329 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/11, -4920583, 2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1728 - 1724. Which is the second biggest value? (a) -5 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -3. Is 1114*(20\/j - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 5550*j - 607005.\nAnswer: -5*(j + 123)*(j + 987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7629433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-254)\/8)\/(5481\/21924).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*s - s**2 - 2*s**3 + 0*s**2 - 26*s - s**4 - 4 + 1 in the form j*s + o*s**3 + n*s**2 + t*s**4 + f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -104. Suppose -1859 = -m*o + u, 0 = 3*o + 4*u + u - 1377. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taok when four letters picked without replacement from {t: 1, k: 1, r: 3, a: 2, o: 6}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 14 + 14)*((-2 - 3 + 4)*(3*v - 3*v + v**2) + 29 + 76*v**2 - 24 - 7 - v**2 - v + v).\nAnswer: 148*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42025, 168658, 379713, 675190?\n\"Answer: 42211*a**2 - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*w - 7771 = 15896. Suppose w*l - 340*l = 0. Solve l = 4*k - 5*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 2108.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Suppose 11 - 36 = -y*q. Let a = 1 + q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1749, 2185, 3343, 5577, 9241, 14689?\nAnswer: 22275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 25*r**2 + 6*r + 46. Let n be d(-21). Is (-3 - 1) + 8 - (n + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314.78 - -240.552. Let s = 74 + h. Let t = 0.2127 + s. Round t to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - v - 5. Let z = 5 - 1. Let t be 58\/6 + 4\/(-6). Let y(g) = 2*g - 3*g + 4*g**3 - t - g. Determine z*y(h) - 7*a(h).\nAnswer: 2*h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 i when three letters picked without replacement from {v: 3, f: 10, x: 2, o: 1, t: 1, i: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.4 + 0.9. Let s = y + 6.5000165. Round s to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*((-h - 2 + 2)*(-1 - 1 + 4) - 40*h - 123*h + 65*h) to f*h + i and give f.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17662c + 3?\nAnswer: 17662f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**3 - s**2 + 1. Suppose -4 = 5*i + 1. Let q = 2 + i. What is the units digit of n(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 3*u + 24, -3*u - 42 = -4*p. Let l(r) = r - 5. Let q be l(p). Find h such that -5 + 21 + h + 0*h - 4*h**3 + 15*h - q*h**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 + 19*j**3 + 1 - 6 - 12*j**3 - 9.\nAnswer: -j**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r + 194 = -95*r + 3*g, 0 = -2*r + 2*g + g - 206 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 644\/(-6) + 2\/6. Let h = -62 - t. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(112)*-1*-2)**2 + 0 + (sqrt(567) + 3)*1)*3.\nAnswer: 27*sqrt(7) + 12105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*w - 212, 0 = -v + 3*w - w + 106. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3 in descending order.\nAnswer: 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58239 is divided by 19408.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/(-294) - 1593\/(-21) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, y: 4, c: 3, d: 1, w: 5}. Give prob of picking 1 y, 2 w, and 1 d.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2988 divided by -2.\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43945)\/1650 - 218\/(-1635)?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 7*x - 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75837.\nAnswer: 3, 17, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4316 + 4318 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**2 + 2*p - 10. Let o be g(-8). Let q be -10 + 11 + o\/(-26). Which is the second smallest value? (a) 4 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274 + 274 - o**2 + 2*o**3 wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125546.6l in millilitres?\nAnswer: 125546600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.001 - -4722945698985.\nAnswer: 4722945698984.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21033123 (base 5) in base 8?\nAnswer: -524123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**8\/480 - p**5\/60 - 7*p**4\/6 - 13*p. Let r(a) be the third derivative of l(a). Find the first derivative of r(v) wrt v.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -30?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 21 = -8*d. Let u(c) = -c**3 - 2*c**2 + c. Let k be u(-3). Factor -9*b - 3*b**2 + 9*b + k*b**d.\nAnswer: 3*b**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299137 = 162*m - 3003535 - 1016418. What are the prime factors of m?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 5*p**2 + 5*p - 2. Let i = -1 - -4. Suppose 3*g - 12 = -g. Let x = -8 + g. Let w(s) = 5*s**3 - 3*s**2 + 3*s - 1. Give i*t(n) + x*w(n).\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 3*i = -3*i. Suppose w = 3*p + 50, w - 2*p = -i*p + 55. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 1 + (4 - 325). Let k = 322 + b. Solve 7*i + k = 42 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7879960 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 38*o**2 + 12*o + 144.\nAnswer: 2*(o - 3)**2*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 0.0996.\nAnswer: -0.1996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/14191 and 33\/9872.\nAnswer: 227056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -23*r + 22*r. Let k = 1158\/11 - r. Is 0 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (414 - 1116 + 516)*(-90*a + 90*a - 9*a**3) + (2 - 2 + 1)*(a**3 - a**3 - 2*a**3).\nAnswer: 1672*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 34015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 227, 814, 1957, 3842, 6655?\nAnswer: 10582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, i: 4}. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -3 + sqrt(300))*-4)**2.\nAnswer: -1920*sqrt(3) + 19344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from ttpp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:36 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*c - 41*c + 4*i + 12, -2*i = -4*c + 34 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*i + 156*i - 570 = 0. Calculate the highest common divisor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1514 (b) 0.3 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.95 + -8.02. Put -4, 1, s in increasing order.\nAnswer: -4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43389 from -39.\nAnswer: 43350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 442?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*((-3354)\/273)\/43.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from wvzw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25*x**2 + x. Let f = -834 - -835. Determine r(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.097 - -0.053. Let l = z + -1.2. Let k = -0.06 - l. Which is the second smallest value? (a) -2\/11 (b) -3 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58397 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6 - ((31 - 8) + -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 23. Let j be b(-18). Suppose 29*s = -8*s - 444. Put -3, j, 3, s in decreasing order.\nAnswer: j, 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -110*j - 596 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -163, -308, -523, -820, -1211, -1708, -2323?\nAnswer: -3068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let s(a) = -129*a + 33379. Calculate s(n(p)).\nAnswer: 129*p**2 + 33379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 - 11*n - 39. Let m(v) = v**2 + 2*v + 7. Let g(k) = 11*m(k) + 2*z(k). Let o(j) = -6*j**2 + j + 2. Let y(a) = 3*g(a) + 2*o(a). Calculate y(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 23*l - 25*l + 6, -3*l - 3*r - 9 = 0. Sort 4, 9, l in ascending order.\nAnswer: l, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50274 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16988, 16986, 16978, 16964, 16944?\n\"Answer: -3*z**2 + 7*z + 16984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1321 - 5*v - 1295 - 3*v**2 + 0*v. What is g(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 - 1499*y + 1386*y as s + o*y and give o.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 112?\nAnswer: 112.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -24. Let l(h) = -79 + b*h - 2*h + 2*h**2 + 75. Let a be l(3). Solve -4*g - g = -a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170272?\nAnswer: 2, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j - 10 - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let c be 1\/(1*1\/s). Calculate the greatest common divisor of c and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 17*t - 92 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*s + 327, 120 = 2*y - s - 12. What is the greatest common factor of 133 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5603197 by -2.\nAnswer: 5603197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 307 and 322043?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 160 = -2*r, 3*w + 0*w = r - 84. What is the remainder when r is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.3 (b) 186 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p**3 + 54*p**3 - 114*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.8871277 times -0.1\nAnswer: -0.38871277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.11, -2\/3, 1788?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 + -205. Let k be (-3692)\/(-14) + 2\/7. Calculate the greatest common divisor of j and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 21*y + 30*y + 12*y = 65*y + 10, y + 4 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/6 + (-2)\/6. Suppose -5*c = -x*c - 22. Calculate the lowest common multiple of c and 1\/(3 - 1)*(-36)\/(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -798000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 17 = -5*w + 5*l, 2*w = 2*l + 4. Suppose -1 = w*r - 13. Suppose r*y - j = -3*j + 5552, 0 = -5*y - 5*j + 6930. Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -25 - 28 - (-45 - 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2, 162 in decreasing order.\nAnswer: 162, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -300*q + 840. Let o(n) = -5*n + 10. Let u(k) = -3*d(k) + 252*o(k). Let f(i) = 32*i. Calculate f(u(t)).\nAnswer: -11520*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*t = -34, 2*o - 2*t + 13 = -11. What are the prime factors of (-1)\/(o\/6 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10542 - 10569. Which is smaller: t or -5.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 12*a**3 - 186*a**2 - 468*a - 297.\nAnswer: 3*(a - 11)*(a + 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**3\/4 + 125*h**2\/4 + 35*h - 65 = 0?\nAnswer: -2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -380, -402, -424, -446, -468?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -531, 5, 0.19, 0.9, 0.1.\nAnswer: -531, 0.1, 0.19, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 6:16 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11356 - -9634. Suppose 47*j - 37*j - p = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*s - 4*s = 698, 4*s = 2*j - 472. Let g = 462 - j. Let i = 437 - g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-323) + 196\/418\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-109080\nAnswer: -109079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w - 2 + (2 - 2 + 2*w)*(3 + 0 - 4) + w + 0 + 0 + 2*w - 4*w + 0*w - 8*w - 3*w - 5*w)*(2*w - 3*w + 2*w).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 - 2*l**4 + l**4 + (-2 + 2 + 2*l)*(262486 + 80*l**3 - 262486) as u*l + f*l**4 + n + m*l**2 + i*l**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 17. Suppose -x = y - h, -5*y + x - 8 = -62. Calculate the least common multiple of y and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392144.\nAnswer: 2, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 - -10.17. Let f = -0.18 - 14.82. Let j = f + o. Which is the second smallest value? (a) -2 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 61*p**2 + 22*p - 140. Let f be x(15). Calculate the highest common divisor of 380 and f.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/22274 (b) -0.07 (c) -24 (d) -5 (e) -1 (f) 5 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18208, 18191, 18170, 18151, 18140?\nAnswer: 18143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004424406 to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**8\/40 + 139*q**7\/525 + 62*q**6\/75 + 58*q**5\/75 + 4*q**4\/15 - 4*q**2 - 10. Determine k so that s(k) = 0.\nAnswer: -4, -2, -1\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*w - 0*w, 5*a - 3*w = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 14*f + 47. Let a be p(12). Is a > 358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -4 - 1*5. Let y(v) = -v**2 - 6*v + 5. Let m be y(o). Suppose m*t = 4*t + 26. Solve f - t = 5*u, 3*u - 3*f + 7 = -11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o - 2. Suppose 2*u - 6 = -r, -u + o*r = -19 + 6. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431 - 30?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 23*m**2 + 23*m - 20. Let i be v(22). What is the closest to 1 in i, 4, -14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-24))\/1)\/((-5980)\/(-401856)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Suppose -c = -i*c - 5*s + 6, 2*s - 76 = -5*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7128\/(-30800) - (-2)\/28. Which is the biggest value? (a) 0.4 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -12. Suppose 3 = -j + f. Let u(v) be the second derivative of v**2\/2 - 18*v. Let m(z) = -3*z**2 - 2. Give j*u(c) - m(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -62, -4, 2 in decreasing order.\nAnswer: 2, -3, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3 - (-14)\/(-8). Factor -1\/4*d - 1\/2*d**2 + 1\/4*d**4 - 1\/4*d**5 + f + 1\/2*d**3.\nAnswer: -(d - 1)**3*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + y + 33 = -3*c, -2*c = -3*y + 13. Let k be 78\/(-8) - 15\/(-20). Let i = k - c. Let v(t) = 2*t**2 - 2*t - 1. Determine v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q - 23*q - 25*q + 4*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24463 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/341 and -1\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300643 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(144)\/(-1*sqrt(300) + sqrt(300) - sqrt(300) - sqrt(12)))\/(-2*sqrt(36) - 1*sqrt(144)).\nAnswer: -1 + sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 1:01 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 2, -56 in decreasing order.\nAnswer: 6, 2, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)*(-4)\/(-1). Let s = 45 - 41. Suppose s*v = 9*v. Sort -14, v, z in decreasing order.\nAnswer: v, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1361, 1364, 1369, 1376?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 2. Let a(w) = -w - 4. Let x be a(-4). Let y be x\/((-1 + 2)\/1). Suppose y = j + 4*j + 10. Calculate l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 23*f = -144 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 511520 (base 11) in base 7?\nAnswer: 6662035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 9*t + 31 = 14*t, -2366 = 11*p + t - 2233 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - h - 4. Let c be n(3). Suppose 0*z + c*z = -4. Put 2, z, -4 in increasing order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1700*j - 133. List the prime factors of h(9).\nAnswer: 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**3 + 13*b**2 + 34*b - 165. Is n(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*h + 34*h - 24*h)*(4*h + 2*h + 8*h) to the form r + s*h**2 + a*h and give s.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3332070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 2:48 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1088) + 4 + -1.\nAnswer: -1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 10:06 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -94, -159, -238?\n\"Answer: -7*n**2 - 30*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -481*d - 98*d + 202*d as t + c*d and give c.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 12*k**3\/5 - 192*k**2\/5 + 195*k - 1521\/5 = 0.\nAnswer: 3, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/2520 - r**6\/90 + r**5\/24 - r**4\/3 - 4*r**2. Let p(w) be the second derivative of j(w). Is p(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -105*m + 11. Is t(-1) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 365654*f*l - 11668*f + 10 with respect to l.\nAnswer: 365654*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 - 225. Suppose -11*v - 4*v = -b. Solve -o = -r + 4, -5*r = -0*r - v*o - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991275342 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 733.7634 litres?\nAnswer: 733763.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(7)*2 - -1*sqrt(2448).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b98a2a (base 13) in base 14?\nAnswer: -8171b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983307 is divided by 1983294?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-52) + (-1)\/(-4))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + sqrt(75))*-6 - -4*6*(sqrt(3) - (sqrt(3) - (sqrt(243) + -1))))**2.\nAnswer: 103788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-61495859\nAnswer: -12299171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, m: 3}. What is prob of picking 2 n and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 14 + 22. Calculate the highest common factor of 96 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i = -63*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2 = -3*h + 7*c, 0 = -h + 2*c - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512, 507, 498, 485, 468?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 10:50 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/44*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*l**5 - 16*l**3 - 253*l.\nAnswer: -240*l**3 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 4. Let n = -3 + r. Let h = n + -1.9889. Round h to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:44 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c - 3. What are the prime factors of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*g**3*p + 88444*g**3 + 2*g*p - 1815*p wrt p?\nAnswer: -7*g**3 + 2*g - 1815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4 = -2*j. Find the second derivative of -7*u**j + 196415*u**3 - 196419*u**3 + 0 - 5*u - 7 wrt u.\nAnswer: -24*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = -3*o, -3*o - 2 = -b - 13. Let x = b + 10. Let n(g) = 2*g**2 - 3*g + 2. Calculate the remainder when n(4) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 736\/(-36)*-3*87\/4. Let p = 1973 - n. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 6*h + 1. Let n(y) = y**3 + 16*y**2 + 15*y - 5. Let s be n(-15). Let a be m(s). Solve f = a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061 in -4\/5, -0.2, -0.4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161440 (base 8) in base 10?\nAnswer: 58144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)\/(v\/v**(-2\/9)))\/(v*(v\/(v**(-5\/2)*v))\/v)**(1\/19))**33 assuming v is positive.\nAnswer: v**(-6347\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1656, 2742, 3828, 4914, 6000, 7086?\n\"Answer: 1086*i + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*z + 152*z - 408 + 3216 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0. Let g be (-3 - -2)\/(12\/4). What is the third biggest value in a, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 38 = -28*y + 21*y. Let x(h) = -h**3 - 20*h**2 - 20*h + 22. Give x(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2*u + 42*u**2 + 2 - 1 - 44*u**2. Let p(m) = 2*m**2 - 4*m - 1. Determine -4*p(b) - 5*q(b).\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 9*p**2 + 48*p - 7. Is d(11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1614 + 2?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 69 = 3*m, -12*m - r + 73 = -8*m. Let v(c) be the second derivative of 40*c**3\/3 + 23*c**2\/2 + c. Is v(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 52, -0.1555, -0.2?\nAnswer: -0.1555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24856453 and -10137899?\nAnswer: 14718554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -80649470 divided by -5?\nAnswer: 16129894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051 a factor of 228146703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 534*m - 645*m - 111 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12)*-10)\/(90\/(-72))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23563397 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13685301 is divided by 6842649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5905567 and 426.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p. Let n be l(-1). Suppose 0 = -4*f - n*t + 20, 4*t - 2*t - 13 = -3*f. Find the second derivative of 0 + 0 - f*a**2 - 4*a + 0 wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/195 and 47\/52.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 107*w - 707. Calculate x(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*m**3 + 16*m**3 - 1 - 401*m**3 - 595*m**3.\nAnswer: -2453*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z - 4*z + z)*(-2*z + 7*z + 0*z) + 5*z**2 + 10*z - 10*z)*(4 - z - 4).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16408225*s - 54028057 wrt s?\nAnswer: 16408225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 35964 = -25746. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230130 + -230130.899991. Let h = 0.9 + j. What is h rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -236\/5. Which is the smallest value? (a) s (b) -8 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 14*f**3 - 4*f**3.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9669 and 1142398796.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.6 in -4, 1\/4, -2\/3, -1, -434?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 3*j + 2*j. Let n be (2\/6)\/((-3)\/j). Suppose n*g = -0*g. Solve g = d + 4*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3216 + 0.0466. Let w = -0.475 - u. What is the biggest value in 2\/7, -27, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from uuwuuuuuwuuuguuwgu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11621.\nAnswer: 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 9:04 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 25*f**3\/3 - f**2 - 43*f - 10. Let w be c(-25). Solve 0 = 2*v - w*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p)\/(p**(1\/7)\/p)*(p**(1\/2))**(25\/4)*p\/(p\/(p*p\/p**4))*p**(-1\/9)*(p**(1\/2))**(1\/2) assuming p is positive.\nAnswer: p**(1699\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1011, -2064, -3127, -4206, -5307, -6436, -7599?\nAnswer: -8802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83844 is divided by 226?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6 and 34488\/(-76032) + 2*(-2)\/22?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7072 and 10891424?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5865 - 6049 + 4*h**3 + 11669.\nAnswer: 4*h**3 - 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4\/5 + 10002*l**3\/5 - 518061*l**2\/5 - 105612*l = 0.\nAnswer: -3385, -1, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 22, 11, 0?\n\"Answer: -11*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q*q\/q**(-1\/6)*q*q)**(-1\/10)*((q\/(((q\/(q**(3\/2)\/q))\/q*q)\/q))\/(q\/(q\/q**(5\/4))))\/(q**(-6)*q*q\/q**(-2\/11)) assuming q is positive.\nAnswer: q**(619\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9190757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 99*l**2 - 516*l - 4. Let d(z) = 205*z**2 - 1031*z - 7. Let h(m) = -4*d(m) + 7*o(m). Find the second derivative of h(u) wrt u.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 750 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/35)\/(0 + 4\/(-10)). What is the third biggest value in f, 16, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 5625*q**4 - 2628207*q**3 + 8036781*q**2 + 47387574*q - 105806520 = 0.\nAnswer: -939, -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1084.5 - 1085. What is the nearest to -10 in -3, o, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 59356a?\nAnswer: -59356a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -572 - -23?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 + 2*w**3 - w - 2*w**3 - 2*w + 3*w**2 - w**3. Let l = -8 - -5. Calculate a(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 8890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 - 14*f - 6 - 1 + 2 as t + k*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:52 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-22))\/z**28*(z**(2\/47)*z)**50)**(1\/59) assuming z is positive.\nAnswer: z**(2215\/2773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 2*m**5\/5 - 5*m**4\/24 + 13*m**3\/6 - 11*m**2. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.6, -2\/13, 2\/7, 622, 15, -2\/7, 4\/5?\nAnswer: 622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3101*t + 2. Let j be s(5). Let m = j - -32803. Round m to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 56745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2793, 6054, 11483, 19074, 28821, 40718, 54759?\nAnswer: 70938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17254, 34548, 51846, 69148, 86454?\n\"Answer: 2*d**2 + 17288*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 + 189*t**3 - 789*t**2 + 999*t - 402 = 0 for t.\nAnswer: -67, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 157. Let g = -25 + r. What is the remainder when g is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34462.\nAnswer: 2, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, h: 2}. Give prob of sequence hjh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjj when three letters picked without replacement from {s: 3, g: 3, x: 9, v: 1, j: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35642.\nAnswer: 2, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c**3 + 71*c**3 - 5*c**3 - 30*c**3.\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*q - 4*q - 4*g, 0 = 2*q - 3*g - 8. Let k = q - 5. Factor 9*j**3 + 12*j**3 - 24*j**k + 60*j + 49*j**4 - 8 - 98*j**2.\nAnswer: (j - 1)*(j + 2)*(7*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + o - 1. Let f be c(5). Let v(k) be the second derivative of 1\/40*k**5 + 0*k**2 + 0 + 0*k**f - 1\/12*k**3 - 3*k. Factor v(d).\nAnswer: d*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/3 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 522\/((-551)\/(-19))*24\/8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1*5*-3.\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjjjjjejjejjjjj. Give prob of picking 2 j.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 0 + 0*z**2 + 3\/5*z**3.\nAnswer: 3*z**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -0.05 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 t when three letters picked without replacement from tndannnnndnnydnnnt.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17776 and 22.\nAnswer: 17776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -5 (c) 3 (d) -0.15 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2477205 or -2477206?\nAnswer: -2477205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 122200331111?\nAnswer: -122200331110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*t - v + 12, -45 = -2*t - 3*v. Let m = 38 + -32. Calculate the greatest common divisor of t and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from uhtgp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(9\/5)\/f)*f*(f\/(f**(-11)\/f))\/f)\/((f\/(((f\/(f\/(f*f\/f**(-6))*f))\/f)\/f))\/(f*f**17)) assuming f is positive.\nAnswer: f**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -93. Let u = g + 59. Let b be (-328)\/(-18) + (-8)\/36. What is the greatest common divisor of u and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + u - 80 - 2 = -2*w, 796 = 20*w + 4*u for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 2\/3 (c) -2\/5 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + 2*h**2 - 2 + 0*h**2)*(49 + 50 - 157) in the form f*h + g + o*h**2 and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9 + 2\/9*d**2 + 4\/9*d = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 5:43 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25c (base 13) in base 4?\nAnswer: -12133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15969, -31897, -47839, -63801, -79789, -95809, -111867?\n\"Answer: -c**3 - c**2 - 15918*c - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*m - m**2 - 106*m - 2 + 4*m**2 - 175*m as i*m + w*m**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8630 and 11697965.\nAnswer: 23395930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 - a + 6. Let s be k(6). Let l be s + 1 - (-16 + -1). Let b = l - -3. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -17 + 10 + -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -7*i**4\/12 - i**3\/6 + 32*i. Calculate f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:35 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-6 - (4 - 4). Let h(o) = -6*o + 6 - 79*o**2 - 76*o**2 + 105*o**2 + 49*o**2. Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, z: 2, g: 7}. What is prob of picking 3 g and 1 i?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 952, 3796, 8544, 15202, 23776, 34272, 46696, 61054?\n\"Answer: k**3 + 946*k**2 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/4 + w**3 - 51*w**2\/2 - 161*w - 539\/4 = 0.\nAnswer: -7, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 1 - 1)*(-3 + 11 + 18) + (1 - 1 - 2)*(3*f - 3*f - f) + 3 + 2*f - 3.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9310*a + 37241. Give p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 86*k**2 - 282*k - 18. What is the units digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 10 = 0, 5 = g + 3*o. Let d(y) = y. Let l(n) = 2*n**3 + 5*n + 1. Let t(x) = g*l(x) + 3*d(x). Is 19 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 3230*z**2 + 3245*z + 6470.\nAnswer: -5*(z - 2)*(z + 1)*(z + 647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/((-4)\/16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 16. Let t(n) = -8*n + 95. Let x(v) = 4*c(v) + t(v). Let b(j) = -j. Determine -2*b(w) + x(w).\nAnswer: -2*w + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1\/8*b**2 + 21\/8 - 5\/4*b = 0?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 0.8, -19?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + 6\/((-30)\/25). Solve 0 = 2*f + 4*n - i - 9, f + n = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/3, -1, 16 in ascending order.\nAnswer: -1, -2\/3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.03463 + -0.03463. Which is the smallest value? (a) -6\/13 (b) j (c) 2\/7 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/3 - 349*v\/3 + 694\/3 = 0. Calculate v.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 13*i**2 + 14*i + 2. Let c be w(14). Let k(t) = -2*t**c - 2*t**2 + 7*t**2. Let y(u) = -2*u. What is y(k(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n + 361. Give c(-43).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 746, 750, 750, 746, 738?\n\"Answer: -2*t**2 + 10*t + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152217536?\nAnswer: 2, 7, 73, 65809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 4*m**2 - m)*(54*m + 725 - 725)*(2 - 6 - 1) to c*m**2 + r*m + k + v*m**3 and give v.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896858 is divided by 223903.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 619803 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*l**4 - 439*l**3 - 241254*l?\nAnswer: 780*l**2 - 2634*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*k + 12, 3*o - 5*k - 18 = -1. Let q be (-2)\/(-8) + 5\/(-12). Is o bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 16*m - 6. Give d(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*i + 6 + 11 - 4*i + 15*i)*(-2 - 2 + 5)*(-731 + 731 - 23*i) as z*i + f + v*i**2 and give z.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 2*q**2 - 4*q**2 + (2*q - 4*q + 3*q)*(2 + q - 2) + 1 - 2*q**2 + 3 - 7 as r + x*q + k*q**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1363236179 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 divided by 1189?\nAnswer: 386\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o - o + (1 + 1 - 4)*(-2 + 2 - o**2) + 0 + 0 - 2*o**2 + 2*o - 2*o**2 - 2*o + (0*o - 3*o + 2*o)*(-3*o + 2*o + 2*o) - o**2 + 0 + 0.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -54, 3, -1\/3 in decreasing order.\nAnswer: 3, -0.3, -1\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z + 206. Calculate g(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070035 at least as big as 1070238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16905 and 0.003?\nAnswer: 50.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 28 = 2*n + 147, 5*n + 15 = 0. Let a = t - 58. What is the greatest common factor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-18 + 13 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 20 - (-14 - -10)) + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*q**2 + 50 - 4*q + 21*q**2 - 9 + q as x*q**2 + h*q + t and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 56*q**2 + 120*q + 79. Let s(m) = 28*m**2 + 60*m + 40. Let l(k) = 4*b(k) - 7*s(k). Factor l(d).\nAnswer: 4*(d + 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 3582?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*1*-3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4 - 135474*i**3 + 541928*i**2 = 0?\nAnswer: -67741, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -18\/19727, 2, -48.\nAnswer: -48, -18\/19727, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 3170600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2658980.2 + -3.\nAnswer: -2658983.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 2116159\nAnswer: -33\/2116159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, d: 9}. Give prob of sequence dqd.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (1006\/25)\/((-3473)\/(-345)). Let o = h + 37732\/6795. Calculate the common denominator of o and -125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 0*w**3 + w**3 - 4*w**2 - 5. Let i be r(0). Let b = 7 + i. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133419075*v**4 - 19983*v**2 + 46*v + 1 wrt v?\nAnswer: -3202057800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k + 1. Suppose 15 - 45 = 6*n. Let s(m) = 144*m**3 - 5*m**2 - 5*m + 37. Let b(d) = n*v(d) - s(d). Differentiate b(t) wrt t.\nAnswer: -432*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3670236\/144 - (-2)\/(15\/25 + 1)?\nAnswer: 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 4*r**3\/9 - 2*r**2\/3 - 8*r\/3 - 31. What is i in l(i) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -2*f**6\/15 - 9*f**5\/5 - 2*f**4 + 32*f**3\/3 - 96*f. Factor i(k).\nAnswer: -4*k*(k - 1)*(k + 2)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*l + 879, 1449 = 5*l + 6*f - 4*f. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*r**3 + 128*r - 128*r + (r**2 - 2*r**3 - r**2)*(69 - 25 - 3) + 2*r + 2*r**3 - 2*r.\nAnswer: -117*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000000000000010 (base 2) in base 4?\nAnswer: 100000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 965551 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*200\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8.6. Let v be 147\/(-2156) + ((-105)\/33 - -3) + 0. Which is the nearest to v? (a) 0.2 (b) 4 (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/420)\/(-4))\/(1350\/(-630))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13 = 15. Let s = 199 - q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-2)\/((-17600)\/(-16022)). Let w = 1\/400 + i. What is the common denominator of w and -91\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) -0.5 (c) 0.3 (d) -0.32202 (e) -0.4 (f) -5 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 6597*k + 13206.\nAnswer: -3*(k - 2)*(k + 2201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 947\/11 (c) 5 (d) -0.8 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*u - 3, 2*f = 3*u + 21. Suppose -f*h - 3 = -3*t, -5*t + 4*t + 13 = 3*h. Let k(d) = 2*d**2 - 3*d**3 - 2*d + 3*d**3 + d**h - 4*d**2. What is k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -57d3d4?\nAnswer: -57d3d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -269278120 to the nearest one hundred thousand.\nAnswer: -269300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5249*q**3 - 5*q**2 - 5*q - 38. Is m(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 801*a - 4810. What is the thousands digit of k(43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 730*j**3 - 24*j**2 - 12*j - 12. Let f(n) = 2*n**2 + n + 1. Determine 12*f(y) + g(y).\nAnswer: 730*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:40 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14214 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10710 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*w - 105*w = 30. What is the nearest to -2 in -2, 4, -59, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125749, -251502, -377255, -503008, -628761, -754514?\n\"Answer: -125753*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -8\/3*c**3 - 2*c + 56 + 0*c**2. Let z(j) = j. Calculate z(i(y)).\nAnswer: -8*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845*k**3 - 1808560*k**2 - 556420*k - 42800.\nAnswer: -5*(k + 2140)*(13*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 20*y + 20. Suppose -3*h = 3*t, -4*h - 2 = -3*t + 33. Suppose 4*v + s - 23 = 3*v, 0 = -v + t*s + 5. What is the units digit of z(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.32 + -0.32. Which is the closest to -2\/3? (a) 5 (b) -0.5 (c) q (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 473.9 and -0.089.\nAnswer: -42.1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l + 12. Let s = 1.8 + -1.94. Let t = -0.04 - s. Which is the nearest to 0.2? (a) -2\/9 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2870 = 314*b - 27*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7 + 17. Let u = y + -7. Suppose 15 = -r + v + 3*v, 10 = u*r - 3*v. Solve -3*s + 2*p = -s, 2*s = r*p + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4242 is divided by (10*(-3)\/(-6))\/((-11)\/(-550))?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 35*j**2 + 3*j + 105. Calculate q(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 48.4 * -225179\nAnswer: -10898663.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkstdddktstd. What is prob of sequence dd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(12)\/sqrt(4) - (sqrt(75) + 1 + sqrt(75))**2.\nAnswer: -304 - 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y - 1. Let u be f(-1). Suppose x + u - 9 = 0. Which is the third biggest value? (a) 0.4 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 5*s + s)*(-10072 + s + s + 10564) to i*s + v + n*s**2 and give i.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3, p: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10701 + 14176. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**4\/4 - 55*f**3\/4 - 549*f**2\/4 - 1701*f\/4 - 432 = 0.\nAnswer: -3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 35874?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298275 or -298276?\nAnswer: -298276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. Suppose t*s - 3*b = -2*s + 87, 0 = 2*s + 2*b - 22. Let o be (14 - s)\/((-1)\/17). What is the greatest common divisor of 187 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19616135 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*76\/(-216)*8 - 22?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0411 * 115911\nAnswer: -4763.9421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 143 + 4500?\nAnswer: 4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:55 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 2*n**2 - n - 2. Let t be y(2). Let h be 9 - (5 + 0)\/1. Is h <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 + 9*c + 4. Let q be l(7). Solve -5*p - 6*g = -4*g + 33, -2*g = 2*p + q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4259 + -4263. Put -2\/5, 1360, k in increasing order.\nAnswer: k, -2\/5, 1360","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 5007*t**3 + 6065425*t**2 + 508999251*t + 2392734130.\nAnswer: (t - 2543)**2*(t + 5)*(t + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 8354730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -18*o**3 + 2*o**2 + 3*o - 3. Let i(t) = 37*t**3 - 5*t**2 - 7*t + 7. Calculate -3*i(l) - 7*y(l).\nAnswer: 15*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8\/338*73125\/3750\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 150858 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 70*q**2 - 891*q + 5363. What is the thousands digit of p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, -4\/33, 2\/9, 18?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmimimmymmykmmmmm. Give prob of sequence ym.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7854.269 litres to millilitres.\nAnswer: 7854269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154310433 + 0?\nAnswer: -154310433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (2 - ((6 - 7) + 9 + -4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178 + -175. Is ((-16)\/c + 5)*(-47349)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 35 + 83 = -40 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxxmoomxxmmmmmmxmx. What is prob of sequence omx?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/94 or -7227?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*p + 342, -2*p - 84 = -5*l + 4*l. Let b = l - 84. What is the second derivative of -48*d**2 + 48*d**2 + 12*d**4 + 22*d**b + 14*d wrt d?\nAnswer: 408*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 113, 1.611, 2, -1\/10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 - 2*f**4 + 3*f**2 + (-2*f**3 + 0*f**3 + 0*f**3)*(6*f + 0*f - 4*f) - 3*f**4 - 4*f**4 + 2*f**4 + (-f**3 - 2 + 2)*(f + 0*f + 2*f).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1734 + 3016. List the prime factors of w.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -32. Solve 5*v = -3*a - 40, 0*v - o*v = 5*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57264024 by -421059.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f - 38. Let a be u(5). Let p(g) = -g**2 - 12*g - 9. Suppose z + 3*z - 16 = -j, 3*z - 11 = -j. Calculate the least common multiple of z and p(a).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.62252ml in litres?\nAnswer: 0.07062252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/(((f*f**(-11))\/f)\/f))\/f))\/((f**(-7)\/f)\/f))\/(f**4)**14)**3 assuming f is positive.\nAnswer: f**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-3)\/(-126)*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - v + 3)*(-3 - 4 + 5) + 4243*v + 2014*v - 1065*v - 2*v + 1 - 1.\nAnswer: 5192*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.79 + 0.49. What is the closest to -34 in -2\/7, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -445 + 481. Let y be (1\/4 - (-3)\/q)*0. Solve y = 43*k - 42*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -937073.\nAnswer: 2\/937073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -3*q + b - 7, 5*q - b + 15 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13965 - -0.5?\nAnswer: -13964.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922.281161 rounded to two decimal places?\nAnswer: 1922.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -207*q**3 + 7*q**2 + 46*q - 7. List the prime factors of b(-4).\nAnswer: 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, k: 2, t: 1, a: 4}. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 31*r**2 + 130*r + 29. Let w be u(26). Let j be (-1)\/(1\/(-406)*2). What is the greatest common divisor of j and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70308 is divided by 1583.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l + 4*l - 5*l)*((2*l - 2*l - l)*(3 + 2 - 3) + 2 - 2 - 4*l) - 6*l**2 + 6*l**2 + 7*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -6 + 1 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*o + 2*o**2 - 165*o + 41*o - 41*o to f*o + g + x*o**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20747*s - 145243. What is o(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 + -0.8. Let b be 2\/18*9 - (-2 - -1). What is the second smallest value in p, b, -4\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 22 + 22 - 2*k - 2*k + 3*k + (0 + 0 + k)*(2 + 0 - 4) + 0 + 0 + 2*k)*((k + 1 - 1)*(1 + 0 - 2) + 0 + 0 - 2*k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17373194 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: Calculate -193997700 divided by -32332950.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00700859506 rounded to seven decimal places?\nAnswer: 0.0070086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940996 - -48054381?\nAnswer: 49995377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 109. Calculate the lowest common multiple of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*y**3 + 13*y**3 + 11*y**3 + 85*y**3)*(3*y + 0*y - 4*y).\nAnswer: -147*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o + 7379 = 7407 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4\/3 (c) -0.2 (d) 1\/8 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, 6428 in descending order.\nAnswer: 6428, 22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22569, 2, 0.5, -1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 6. Let i be n(-6). Let q(o) = o**3 + 18*o**2 - 17*o + 53. Calculate the remainder when 501\/i - (-2)\/8 is divided by q(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:35 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -124, -190, -242, -274, -280?\n\"Answer: v**3 - 2*v**2 - 75*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1123*l**6\/40 + l**5\/10 - l**4\/6 - 5*l**3\/6 + 21*l**2. Let o = 10 - 7. Let m be s(o). Round m to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*((-84)\/(-12))\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + -295\/2. Which is bigger: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2*j**2 + 8 + 8027*j**3 + 23876*j**3.\nAnswer: 31903*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 391730104 and 2?\nAnswer: 391730104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 236154*f**3 - 277844.\nAnswer: 708462*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034984966 to six dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pooxpknt. What is prob of picking 1 t and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 44. Suppose 48 = -0*g + 4*g. Calculate the highest common factor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 2*l + 2 - 49*l**2 + 37*l**2 - 77*l**2 - 2*l + 6*l to the form f*l**2 + t*l + h + w*l**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9 = 3*w + 3, -3*q = -4*w - 2. Suppose q*n = n + 55. Let g(u) = 14*u - 19. What is the remainder when g(4) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r - 42*r = 530. What is the second derivative of -r*m + 32 - 215*m**5 + 222*m**5 - 30 wrt m?\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b**3 + b**2 - 3*b + 5. Let r(q) = -65*q**3 - 6*q**2 + 13*q - 24. Let k(s) = -3*r(s) - 14*w(s). Determine k(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470010896 is divided by 156670297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7.31.\nAnswer: 36.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4942*s - 17910. Calculate v(-4).\nAnswer: 1858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (610\/5)\/(2\/8). Let z be j\/(-723) - (-16)\/24. Let q = 279\/4579 + z. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464488 and 544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 2. Let h(c) = -5*c**2 + 5*c - 8. Determine h(k) - 6*m(k).\nAnswer: k**2 + 5*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 8. Let b(k) = 3*k**2 + 8*k - 2. Let r(l) = 5*l**2 + 15*l - 3. Suppose -4*v + 6 + 10 = 0. Let i(w) = v*r(w) - 7*b(w). Calculate i(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**3 + 3*t**2 + 4*t - 3. Let n(j) = 19*j**3 + 5*j**2 + 7*j - 5. Let o(u) = 5*a(u) - 3*n(u). Is o(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -484\/75465?\nAnswer: -484\/75465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6835 - 4434. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 89*w**3 + 3*w**2 - 6. Let i = -671 + 673. Is h(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114410 divided by -4\nAnswer: 57205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2760 and 97\/290?\nAnswer: 80040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1\/2)*p*p)\/p)**17\/(p*p**(-2\/7)*p)**(1\/44) assuming p is positive.\nAnswer: p**(9157\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i + 2. Let b(a) = -323*a - 51. Let r(l) = -2*b(l) - 51*u(l). Let q(x) = -8*x**2. What is r(q(z))?\nAnswer: 136*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595456003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)\/((-1)\/11). Let r(s) = -5*s - 5. Suppose -13 = -2*g + 5*x, 0*g - 7 = 2*g - x. Let n(c) = 9*c + 9. Let o(w) = a*r(w) + g*n(w). What is o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29336 is divided by 94?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 2. Let w be q(-1). Let z be (-92 + -4 + 0)*w\/(-3). Let k be (6 - 0)*4\/3. Calculate the highest common divisor of z and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6597*g + 1814 wrt g?\nAnswer: 6597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2516 - -4027. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335 - 87. Let s = l - 248.2. Which is the second biggest value? (a) -4\/7 (b) -6 (c) s (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l**2 - 36*l**2 + 14*l**2 + 8*l**2. Let q(t) = 22*t - 3. Let n(i) = 175*i - 25. Let h(r) = 3*n(r) - 25*q(r). Give h(b(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -16*v**6\/15 - 4*v**4 + v - 5. What is the third derivative of g(q) wrt q?\nAnswer: -768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*-4*8\/(-3168))\/(110\/(-264))?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 + 3*r - 2. Let u = 24 + -5. Let q be 192\/19 - 2\/u. Let y be (-5)\/(q\/(-4)) + -6. Calculate d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-30) + 79\/6. Suppose -4*s = 5 - l. Differentiate -1 + 3 - w**s - w**2 with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b - 9*b**2 + 0 - 1\/15*b**5 + 1\/3*b**3 + 1\/120*b**6 - 1\/6*b**4. Give v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -21. Let g be -13 + (-1)\/(-4 - -5). Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - -75. Let d = -217 + x. Let m(i) = i**3 - i**2 - i. Let f(s) = 5*s**3 - s**2 - s. Determine d*f(k) - m(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-640)*(20\/30)\/2\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.44 - 0.21. Let z = c - -8.45. What is z rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:50 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10744.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**2 - 10 + 0*x + 2*x**2 + 7*x**3 + 4*x - 2*x**2. Is 28 a factor of v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = 5. Let q(j) = 6*j + 35. Let t be q(-5). Suppose 5*u + 0*u - t*b - 65 = 0, -67 = -4*u + b. Calculate the greatest common factor of h and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)**33\/(j**(-1))**37)\/((j**(2\/9)*j\/j**(-2\/15))\/(j*j**(1\/2)\/j)**(6\/7)) assuming j is positive.\nAnswer: j**(21758\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64426386*t - 125434695*t - 7396085*t.\nAnswer: -197257166*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4946 + 4949. Solve i*m - s = 4*s - 2, 2*s = -5*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1462\/13 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -11692*t + 11585*t + 13 - 21 + 9 in the form u + w*t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6322 minus 2?\nAnswer: 6320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -28*y + 3. Let o(q) = -28*q + 4. Let t(c) = 5*g(c) - 4*o(c). What is the remainder when t(-1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-315)\/(195\/13))\/6)\/((-91)\/1612)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15200, 30458, 45760, 61112, 76520, 91990?\nAnswer: 107528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 189*q - 3901. Calculate the remainder when 260*((-2)\/4)\/(-1) is divided by r(112).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151793287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 1. Let u be (-3)\/(-4) - 13\/12. What is the biggest value in u, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -80*l + 1282. Let i be q(16). Solve -i = 2*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -5*z**4\/36 + 2083*z**3\/18 + 139*z**2 + 542*z + 3. Solve a(d) = 0 for d.\nAnswer: -2\/5, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 5*d - 2*d - 4*d + 0*d + 5*d + (5*d - d - 2*d)*(4 + 1 - 3) + 3 + 2*d - 3 + (3*d + d - 5*d)*(20 - 7 + 6) in the form l + v*d and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15871637.23 + -70.013.\nAnswer: -15871707.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764633451.\nAnswer: 3, 59, 4319963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13632\/5964*63\/(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 2*d**2 + 0*d**2 + (-3*d - 1 + 1)*(d + 3*d + 3*d).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Suppose -n - 4*b = -3*n + 2, 5*n + 4*b - 19 = d. Suppose -5*r = n*u - 93, -135 = -5*r + u - 26. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3164, 2824, 2258, 1466?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -143. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -22*x + 602. Which is bigger: x or 608\/7?\nAnswer: 608\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131742733\/12 - 10985673. Let p = g + 7107. Find the common denominator of p and 206\/28 - 1 - -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 87*q = -611586. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92 and 0.3?\nAnswer: 92.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108232 + 42*q**3 - 108240 + 216470.\nAnswer: 42*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*(-126)\/28*-12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 4 = 0. Let c be ((-1)\/z)\/(1\/(-4)). Let h be 1 - ((-2)\/(-1) + c). What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 207825261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/451312 and 43\/394898?\nAnswer: 3159184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734305 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100 + -100010011?\nAnswer: 110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40378807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -39*j + 40. What is the highest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 + 1 + 11*g - 1 wrt g?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p + 50 = 0. Let a be 2\/(-4)*-2 + (-11249975)\/p. What is a rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (0 - -15)) + -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 - 18*r - 42. Let h(b) = 7*b**2 - 20*b - 50. Let v(i) = -5*h(i) + 6*w(i). Let d(a) = -12*a**2 + 7*a + 2. Calculate 7*d(k) + 6*v(k).\nAnswer: -6*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2785, 1, -99 in descending order.\nAnswer: 2785, 1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**7\/2520 - a**6\/144 + 23*a**4\/4 + 6*a + 3. Let i(k) be the third derivative of q(k). Determine i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5094417.\nAnswer: 3, 1698139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269377751.\nAnswer: 47, 1319, 36607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210 - 11?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/155*(-2)\/12*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200 - 1999\/10. Let l = -10.9 + 11. Which is the nearest to l? (a) i (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -k. Let d(o) = -o + 9. Let w be d(k). Put 4, w, 0.3 in increasing order.\nAnswer: 0.3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 5*o = 7*s - 21, 15 = -5*o for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 810119 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:08 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 2 - (5 - (3 + 7 + -5 + -13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2, -2\/3, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122221231 (base 4) to base 3.\nAnswer: 12112202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*a - 12, 15 - 7 = -a - 2*k. Suppose -2*t + a - 4 = -2*b, 3*t = 4*b - 10. Solve -t*x - 4*x = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -5, 3681\/5 in descending order.\nAnswer: 3681\/5, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2950 divided by -590.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 135505 (base 11) to base 15\nAnswer: 42d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 214 - 14 = 0. Suppose 3 = -p*i + 51. Solve 0 = -i*a + 21 + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3303*i**4 + 38*i**3 - 519753*i**2 wrt i?\nAnswer: 79272*i + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3712*z**2 - 854*z - 40. Let u(c) = -3*c**2 - 3. Let f(g) = -6*u(g) - 2*y(g). Solve f(m) = 0.\nAnswer: -7\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 107. Suppose -11 = -6*u - g. Solve 2*c + u = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, 4\/7, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4273, 8673, 13201, 17857, 22641, 27553, 32593?\n\"Answer: 64*h**2 + 4208*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-4)\/((sqrt(55) + sqrt(110)\/sqrt(2))\/sqrt(5)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16985 is divided by 92?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7780 in -5, 5, 0.1, 1.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 10*g + 2*i + 2*i = 2*g, -12*i + 24 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/15633 and 73\/135.\nAnswer: 78165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 23*v - 30 = 0. Let g(k) = -k**2 - 9*k + 4. Let q be g(-8). What is the highest common divisor of v and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 11. Let r be t(-3). Suppose -3*d = 5*w - 12, -7*d - r*w = -2*d - 20. What is the remainder when 33 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52, 130, 196, 244, 268, 262, 220, 136?\n\"Answer: -i**3 + 85*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 0, 3*r = -2*a + 9 + 15. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 524?\nAnswer: 11\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 3. Suppose 2*u + x*u - 20 = l, -5*u - 2*l + 5 = 0. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/42 + (-46)\/(-14). Suppose 2*m + 15 = b. What is the remainder when (-53)\/(-1) - (9 + m) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008726 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {s: 1, o: 4, j: 1, i: 3, q: 2, c: 7}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Suppose -f = 3*f - 4. Let y(d) = 2*d. Let t(z) = f*y(z) - 5*p(z). Let w(n) = -2*n. Determine t(w(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - a + 2. Let x(f) = f**3 - 8*f**2 - 3. Let z be x(8). Let n be (1\/3)\/(z\/(-18)). Give v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1150*f**2 - 24*f**2 - 2119*f**2 - 6*f + 469*f**2 - f.\nAnswer: -2824*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495542 is divided by 165044?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 3*h**5\/20 - h**3\/2 - 5*h - 6. Let k(o) be the first derivative of a(o). Factor k(x).\nAnswer: 3*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 + 4*t - 4. Let y(u) = -4*u**2 - 3*u + 3. Let v(j) = 3*x(j) + 4*y(j). Let d(p) = 8*p. Determine v(d(a)).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**5 + 128*q**3 - 2*q**2 + 247*q + 3?\nAnswer: 240*q**2 + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 2. Let w(j) = 5*j - 3. Let d(f) = -4*o(f) + 3*w(f). Let h(n) = -n. Determine d(h(a)).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -158. Suppose -903 + w = -35*c. Calculate the remainder when 236 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2708 at most -0.0299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) - 7\/((-35)\/(-2)). Which is the biggest value? (a) 2 (b) -0.03 (c) m (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67\/182 + -12\/91. Put l, 0.2, 0.6, -0.4 in descending order.\nAnswer: 0.6, 0.2, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 + m**3\/3 + m**2\/2 + m + 139. Let f(c) = 26*c**3 - 39*c**2 - 39*c - 39. Calculate 39*b(a) + f(a).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -119?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(126)\/sqrt(7))\/((2*sqrt(72))\/sqrt(12)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -20. Solve -4*k = -c + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898*t + 89 + 82 - 171.\nAnswer: -898*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (-17)\/(-3)*(-144)\/(-132). What is the nearest to -1 in -1, -0.4, c, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1386125*k**3 + 29*k**2 - 37770900*k wrt k?\nAnswer: 8316750*k + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/10)*r*r))\/(r*r**(-6\/11)))\/((r**9*r)\/r*r\/(r**4\/r)) assuming r is positive.\nAnswer: r**(-941\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2, 91.6, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4542 by -6.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*z = -86 + 31, 37 = 5*b - z. Suppose -2*h + 9 = n - 2*n, 0 = 5*h + 2*n. Suppose g - 2*g = -h. What is the greatest common divisor of g and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 17 + 11. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395379549?\nAnswer: 3, 31, 101, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 286879333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) - 2\/(-4). Suppose -k*d + 14 = -5*w, 5*d - 2*w - 54 = w. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/24 and -155\/122976?\nAnswer: 122976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 106775 = 3*i. Suppose -2*a = -i + 5755. What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006934493 to four dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 39*k + 241. Calculate c(-11).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-96 + 0)\/3 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d - 231 = 1251. What is the remainder when 360 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13840 divided by -5.\nAnswer: 2768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 575635549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176250?\nAnswer: 2, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*i**3 - 547*i**3 + 156*i**2 - 78*i**2 - 78*i**2.\nAnswer: -1020*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 115147\/4, -0.04, -5, -169?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13215098 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.91333067 - 0.91443. What is m rounded to five decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211 - 1022*n**2 + 1211 + 52*n**2.\nAnswer: -970*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*o - 41 = 0, -3*l - 64*o + 69*o - 47 = 0. Sort -56, 0, l in decreasing order.\nAnswer: 0, l, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, a: 7, o: 3, b: 4, x: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:08 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891148703 divided by -2.\nAnswer: -891148703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v)**(-24)\/(v**(2\/3)*v**7))**(-11) assuming v is positive.\nAnswer: v**(-539\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251161\/210 - 1196. Let o(b) be the third derivative of 0*b**5 + 0 + 1\/2*b**3 + a*b**7 + 0*b**6 - 2*b**2 + 0*b**4 + 0*b. Differentiate o(i) wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1680, -0.4, -4, 0.2, -79 in descending order.\nAnswer: 0.2, -0.4, -4, -79, -1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9*u = 286. What is the remainder when 178 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 0. Suppose -2*p + 0*p = i. Suppose 0 = 11*j - 5*j + 18. Sort j, p, 3 in decreasing order.\nAnswer: 3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n - 7. Let y be h(-5). Suppose 0 = s + 2 - 0, 0 = y*c - 5*s - 436. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20393 = 5*w, -16008 = 4*n + w - 97580. List the prime factors of n.\nAnswer: 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 30 = 5*s, -l + 120 = 2*l + 5*s. Let b = -27 + l. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b = 3101 - 221. Calculate the least common multiple of 300 and b.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t - 4. Let q be u(1). Suppose -q*n = -n. Suppose n = -3*x - 6*x + 1881. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-36)*b**11 assuming b is positive.\nAnswer: b**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -191, -388, -585?\n\"Answer: -197*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8820 by 7.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 5 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 412002 * -65.\nAnswer: -26780130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 623209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 4 = 0. Suppose 7*f - 57 + o = 0. Suppose f*g + 36 = 10*g. Calculate the highest common factor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 + 7*g + 2. Let t be l(6). Let h be (-2 + -6)*(-4)\/t. Suppose -211 = -h*r - d, -3*d + 155 = 3*r + d. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 2 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5596057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - ((14 - 24) + 17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 2339142*y**2 - 455970119595*y + 1823843052300.\nAnswer: -3*(y - 389855)**2*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-4))**(-2\/45))**(5\/12) assuming t is positive.\nAnswer: t**(-5\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 3*g. Suppose r = -g*l - r, 28 = 4*l - 5*r. Suppose -38 = -0*z - l*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 12408.\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 - f**2*t**2 + 4*f*t**3 - 3*t**3 - 19*t**2 wrt f.\nAnswer: 3*f**2 - 2*f*t**2 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/11 and 9\/1892.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3526, 3523, 3520, 3517, 3514, 3511?\n\"Answer: -3*z + 3529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 58*p**2 + 23*p + 130. Does 46 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**5 - 11*v**3 - 357*v**2 + 11495*v - 9. Let d(r) = r**3 + 3*r**2 - 3*r + 1. Let l(p) = -b(p) - 9*d(p). Find the second derivative of l(x) wrt x.\nAnswer: 60*x**3 + 12*x + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 266*l**2 - 77*l + 77. Suppose -4*u - 50 + 58 = 0. Let j(t) = 2 + 3*t**2 + t**u + 31*t + 3*t**2 - 33*t. Determine 77*j(c) - 2*o(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(1300))**2 + -5*-1*sqrt(13)) + 4.\nAnswer: -7802 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 9*h. Let c(s) = -3*s - s**2 + h*s**2 + s**2 + 0*s**2. Let o(i) = 3*i**2 - 5*i. Determine 5*c(j) - 3*o(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*t**5\/17 - 60*t**4\/17 + 152*t**3\/17 + 48*t**2\/17 = 0. What is t?\nAnswer: -6, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {x: 8, r: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2. Let b be 2*6\/8*(-72)\/(-27). Let f(r) = -10*r**2 + 2. Let k(x) = -x**2 + 1. Let y(j) = b*k(j) - 2*f(j). What is y(o(v))?\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*n + 8, 2*q = 5*q - n - 6. Solve -b + q + 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025002699 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*u - 8, 5*y - 28 = u - 2*u. Suppose -1 = f - 2*n, -3*f - 3*n = -y*f. Suppose f*q + 5*o - 63 = 0, -2*q + 84 = 2*q - 4*o. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u + 937 = -713 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 149 = 3*u - 2*k, -4*u + 4*k + 204 = 0. Let j(d) = d**2 - 3*d - 126. What is the remainder when j(18) is divided by u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 70\/56 - 6\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 33*a - a**2 + 21*a + 55*a to the form x*a**2 + r + p*a**3 + v*a and give v.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*((-315)\/162)\/7\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-22))\/(-5) - 3195206\/(-77). Let q = u + -2157687\/52. What is the common denominator of q and -93\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7028*l**3 - 4*l**2 - 12716*l wrt l?\nAnswer: 42168*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 18434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 - -2092\/9. Let a = 16 - 18. What is the closest to 0.1 in a, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 - 82976495?\nAnswer: -82976495.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22074431 to the power of 1\/2, to the nearest integer?\nAnswer: 4698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2391, 9193, 20415, 36057?\n\"Answer: 2210*t**2 + 172*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7063? (a) -5 (b) -16 (c) 2.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1120, 1165?\nAnswer: 1165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.02, 5, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -83, -188, -359, -614?\n\"Answer: -3*x**3 - 6*x**2 - 18*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 - 19512*d + 116928 = 0. What is d?\nAnswer: 6, 4872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, -0.2, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29019*y + y**3 - 58011*y + 29024*y.\nAnswer: y**3 + 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.604941 - 76.61. Round v to 4 dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74.1 - -79. Let b = 3295 - 3299.774. Let x = b + z. What is x rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 45 - (-23 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41906 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 3:14 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8913 + -489386507\nAnswer: -489377594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 2*v - 8. Let w(o) = 2*o**2 - o - 6. What is 3*w(n) - 2*z(n)?\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -227. Suppose 135*t**4 - 53 + 203*t**5 - 63*t**5 + 63 - 145*t**2 - r*t**3 + 15*t = 0. What is t?\nAnswer: -1, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p - 2. Let v = -5 - -8. Let q be w(v). Let o = q - 16. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*a**4 + 1989*a**3 + 60*a**2 - 39534060*a wrt a.\nAnswer: 312*a**2 + 11934*a + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380096709.\nAnswer: 3, 11, 307, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 131389.98 months?\nAnswer: 1094.9165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7921?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194785.\nAnswer: 5, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 3*p**3 - 20 - 9*p**3.\nAnswer: -2*p**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 t when four letters picked without replacement from {o: 2, t: 3, y: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -600 + 800. Calculate the highest common factor of q and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - -10 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2600 and 41\/21580.\nAnswer: 215800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -384 divided by -12\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from xeiiieiy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 + 6 = 0. Let g be (-18)\/24 - (-11)\/4. Let c be 1 + g + (-70)\/22. Is c smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*y + 89 = -96, 4*x - 131 = -5*y. Suppose -a - 2 = 3*d, d - x + 13 = 5*a. Solve s + 4 = -d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoooeiieoooidib. Give prob of sequence oe.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3278\/(-1788) + (148\/(-24) - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 113387*j**2 + 4*j - 6878731?\nAnswer: 226774*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*n - 39 + 3, -3*n = -2*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 - m - 13. Calculate p(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n - 2*n**2 + 7 + 2*n + 3*n**2. Let s be g(6). Calculate the common denominator of (-79)\/18 - s\/3 and 79\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7293128 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3688 divided by -922?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = z - 11, -5*a + 3*z = -4551. Is 57 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 120. Suppose p = 5*u + 4*y - 684, u - 3*y = 150. Suppose 4*a = 6*a - u. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*o + 3*t, -2*o = -0*o - 4*t - 80. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + -2 - -3) + 34 + -25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 321 + 56. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-6))\/5*8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 4:09 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let z(v) = -19*v**2 - 106629*v. What is z(d(y))?\nAnswer: -76*y**2 - 213258*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*b - 268 + 291 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1313, 1736, 2157, 2576, 2993?\nAnswer: 3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4791.\nAnswer: 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 - 6*x + 5. Let i be z(4). Which is the second biggest value? (a) -2 (b) 5 (c) i (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y**4 + 0*y**4 - 4*y**4 + 0*y**4 + 5*y**4 + (-2 + 2 + y**2)*(y**2 - 2*y + 2*y) + 0*y**4 + 3*y**4 - 2*y**4 - 23*y + 23*y - 4*y**4.\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 1. Let q be p(4). Let s be (3\/q)\/((-12)\/(-8)). Factor -4\/7*l + 2\/7*l**2 + s.\nAnswer: 2*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1761 - -1662.63. Round g to 0 decimal places.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.027 + 0.373. Which is the third smallest value? (a) 1\/7 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 1915 + 4457 = 0. What is the remainder when o is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 1. Let d(m) be the second derivative of m**6\/360 + m**4\/12 - 19*m**3\/3 + 12*m. Let i(j) be the second derivative of d(j). Give 2*h(t) + i(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-k**3 + 2*k**3 - 3*k**3) - 2*k**3 + 2*k**3 + 2*k**3 + (-2*k - k + k)*(2*k**2 + 0*k**2 + 0*k**2) + (k**2 + k**2 - 5*k**2)*(0*k + 2*k + k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/45 (b) -2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 1339.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 293004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 336*o - 4883. Calculate m(18).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:51 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -80*p**5 - 160036440*p**4 - 80035924028885*p**3 + 520239777634560*p**2 - 245113143059585*p + 30013861600830 = 0.\nAnswer: -1000231, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3873.24126 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 324 - 159975054\nAnswer: -159974730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 380259860 divided by 982?\nAnswer: 387230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 4*t + t**2 + 3*t - 55 + 6*t. Is x(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 25*y - 6852. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -6 - (-101 + 117) - 33\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 613 = 67. Suppose 0 = 2*r + 4*r - p. Let t(s) = -3*s - 2. Let v(g) = 4*g + 3. Calculate r*t(a) + 5*v(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = 5*q, -5*b + q + 4*q + 85 = 0. Suppose -3*w - b = -4*s + 4, -5*w - 23 = 2*s. Solve -s = -o + i - 2, 0 = -o + 2*i + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270108*a**2 + 56164*a + 1.\nAnswer: 540216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 40*c**2 - 39*c + 29. Calculate j(-21).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -6 + 22 + 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -18. Let o be (1 + 0)\/(p\/84). Which is smaller: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*173\/173\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -152*f - 3. Let q be w(-2). Let x = q + -446. Let u = x + 392. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.91 + 0.09. Which is the nearest to -0.2? (a) h (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + ((-2 - 6) + 7 - -16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-7 - -5 - 0) + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/54)\/(4\/(-15)). Is 1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*d - 187*d + 64 = 173*d. Suppose -x + 2 = -0. Suppose -h + 0*h = -x. Solve 3*b - 4 = -4*p, 4*p + 3*b = -h*b + d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 2:01 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-14))\/((-6)\/21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 1065 - 3687 = -6*u. Solve u = -2*x + 788 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**3 + z**2 + 3*z - 3. Determine n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4 + 3 + 0*t**2 - 2*t**3 - t + t**2. Let n be (2\/4)\/(2\/(-4)). Let c(y) = -3 + 23*y + y**2 + 4 + y**3 - 23*y. Calculate n*p(k) - c(k).\nAnswer: k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 1875183\nAnswer: -3\/625061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13912 and 2664.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-60984)\/(-22869)*(-21)\/(-16)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -644369 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + (4 + sqrt(3888))**2 + -3)*-3 + (3 + -3*sqrt(3888))*5.\nAnswer: -11688 - 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 556773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890797 a multiple of 971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*a - 24*a**2 + 32*a**4 + 21*a**4 + 22*a**2 - 2 - 47*a**4 as m*a**2 + t + y*a**4 + w*a**3 + r*a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3 + 9 = 0. Put -1, w, -2 in increasing order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/4)*g*g))**(-2\/35)*g*g**(-1)*g**(-7) assuming g is positive.\nAnswer: g**(-487\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 686 = 3*x - 6*c, 3*x = 5*c + 706. Calculate the remainder when x is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f**(1\/6))\/(f\/(f\/f**(-2\/25))*f**(1\/3)) assuming f is positive.\nAnswer: f**(-471\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 31*r - 2. Let w = -8967 + 8969. Let a(m) = -63*m + 5. Calculate w*a(t) + 5*q(t).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5 = -0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 171769 and 0.2?\nAnswer: 171768.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpr when three letters picked without replacement from {p: 11, r: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a - 3*b, -6 + 3 = -2*a - b. Let u be a*-2*1\/4. Suppose -2 = -2*m - u*m. Solve -z + m = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/3*(29952\/(-182))\/(-64)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1501730293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13822 is divided by 13807.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-140)\/(-11410))\/((-2)\/(-3)). Suppose -2*n = -5*n. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*f = -38*f - 4334. List the prime factors of f.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3 (c) 1.862 (d) -6 (e) -2.3 (f) 1\/4 (g) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240 - 14?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*j = -3*j + 16388 - 2612. Solve j*s + 6 = 166*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92017565 to the nearest 100000.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3650 + 653 = 258*v + 73*v. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/7888 and -5\/498916?\nAnswer: 1995664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50939 divided by -31.\nAnswer: 50939\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 1\/120*b**5 + 0 - 1\/480*b**6 + 0*b**4 + 4*b**2 + 0*b**3 + 0*b. Factor r(h).\nAnswer: -h**2*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*f)*(-4 + 4 - 1) + 2*f + 5 - 5 + 0*f - 3*f + f + 3*f + 0*f - 2*f)*(386*f - 343*f + 770*f).\nAnswer: 2439*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -t, 0 = -3*w - t + 13. Let l(u) = u**2 - 4*u. Suppose -2*z = -2 - 8. Let p be l(z). Solve -3*y + 10 = p*f, w*f + 4 = -f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479185 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.0509 (c) -305258\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 11 = v. Suppose -19*p - 84 = -v*p. Calculate the highest common divisor of 42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 563*z**3 + 2*z**2 - 8*z + 11. Let o = 165 - 163. Is j(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1*sqrt(245) + sqrt(245) + sqrt(20)\/(sqrt(36) + sqrt(4)).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 2. Let g(z) = -56*z - 22. Let l(b) = 6*g(b) - 68*o(b). Let t(k) = -12*k - 9. Let y(n) = 8*l(n) + 3*t(n). Let u(s) = -3*s. Determine y(u(c)).\nAnswer: 12*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 y when three letters picked without replacement from {r: 1, o: 1, x: 1, y: 1, k: 1, u: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 43*w - 122. Let g be k(46). Suppose 17*t - g*t = 3787. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -122, -179, -234, -287?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*n + 18, 5*n = 2*b + b - 6. Let h = -28.72 + 4.73. Let m = 24 + h. What is the third biggest value in b, 4\/5, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1420.407 tonnes?\nAnswer: 1420407000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 761529047 divided by -3?\nAnswer: -761529047\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 2*n**2 - 2 + 4*n**2 - 3. Let d be x(5). Suppose 8*f - d = 5*f. What is the lowest common multiple of f and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 10*d + 220 + 26 - 3*d - 53 to t*d + i and give i.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.129 and 26194?\nAnswer: -3379.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6.57.\nAnswer: 1.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + (-6)\/(-8). Let y = 28\/9 - 169\/63. What is the closest to y in 0, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2352*n = 2312*n - 280 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332652929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 94. Let m = 76 + w. Calculate the remainder when (-21206)\/(-230) - (-7)\/(-35) is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103013323000 (base 4) to base 13\nAnswer: -1066aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)\/q)\/(q*q**11)*(q\/(q*q\/(q*q\/(q*q**(2\/5)))*q))**(2\/175))**(-15\/2) assuming q is positive.\nAnswer: q**(3378\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 - -4.3. Let y = -2 - -1. Which is the nearest to n? (a) y (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-480)\/(-140)*35\/5. Solve -3*t - 5*s + 2 = w, -t - 4*s = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5078703?\nAnswer: 3, 7, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/510 + o**4\/68 + 13*o**2\/2 - 10*o. Let x(z) be the first derivative of k(z). Solve x(p) = 0 for p.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-6) - 2)\/((-4)\/112). Suppose 0 = 2*o - 2*d - 10, r*o - 17*o = 2*d. Solve 0 = -b + 3*b + o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 555, 565, 573, 579, 583?\n\"Answer: -w**2 + 13*w + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5.6. Let v = 0.5 + r. Let p = 616.1 - 616. Which is the nearest to v? (a) -1 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2988\/(-2490))\/((-12)\/(-900))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -3\/7 in decreasing order.\nAnswer: -3\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 671993214*u + 112893719915512449.\nAnswer: (u + 335996607)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 d when four letters picked without replacement from {l: 2, w: 3, d: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/135 + 56\/(-105)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -111, -262, -495, -822, -1255, -1806?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -2 (c) -5 (d) -0.0726 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 15*x**2 + 252*x - 109. Calculate w(9).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t*t\/(t**2*t))\/((t**4*t)\/(t\/t**(2\/31))) assuming t is positive.\nAnswer: t**(-1161\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2105 + -308869.\nAnswer: -306764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -1, -76555, 0.\nAnswer: -76555, -1, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 25*j - 30*j + 9*r, 1 = -r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -5 + (17 - (14 - 9)) - 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74674 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*c**5 + 910*c**4 + 9285*c**3 + 18020*c**2 + 5780*c = 0. What is c?\nAnswer: -17, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**4\/24 + t**3\/3 - 3*t**2. Let z be 3\/6*(2 - 2). Suppose j = -n - 7 - z, n = -2*j - 9. What is i(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**2 + 1 + 21250\/3*a**3 + 0*a. Let t be b(4). Round t to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-20)\/16 + 1). Solve -3*u + 7*l - 3*l = -14, 4*u + 2*l - q = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -23924313?\nAnswer: 119621565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*v - 229 = 113*v + 3326 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905502, 905498, 905494?\nAnswer: 905490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -6*b + 11*b + 330, 5*y + 4*b - 348 = 0. What is the greatest common factor of 272 and y?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, c: 6}. What is prob of sequence uuu?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/14)\/((-3)\/(-7)). Let w = 16\/3 - 77\/15. What is the closest to w in y, 2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30778 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 1878190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x. Let z(h) = -22*h - 9. Suppose 2*i + 2*n + 8 = 0, 5*i - n + 3*n + 14 = 0. Let u be z(i). Let w(q) = -119*q. Calculate u*p(l) - 3*w(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659 a factor of 694094206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(78*v - 1955 + 1955)*(v + 3*v - 2*v).\nAnswer: 312*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0369 times 2?\nAnswer: 0.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348 - 8. Calculate the highest common divisor of o and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 9*c**2 - 9*c - 2. Let g be v(-8). Let z be 3 + g\/(-2) - 6088. Is z\/(-48) - (-1)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755666807 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10295 + -5753. What are the prime factors of r?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*r = -0*q + 71, -q - 2*r + 57 = 0. Let c be (1 - (117 - -2))\/(-2). Suppose 4*y + q = 3*s, s = -s - y + c. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139 in 68, -5\/3, 4, -1\/6?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62941 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3732 - 3720. Solve 0 = 3*n - 5*d + x, 14 - 2 = -3*n + 2*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 88 + 42 + 46 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -57*f. Let i(a) = -29*a. Determine i(n(z)).\nAnswer: 1653*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12)*5088\/(-1484))\/((-5)\/((-140)\/664)).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57\/2 of a second?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122329667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(3\/11)*i)\/i)\/i)\/i**(2\/3))\/(i**(2\/3)\/i**(-1)) assuming i is positive.\nAnswer: i**(-68\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 789.7 and 54.\nAnswer: 843.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 - 0.5. Let o = -0.06 - q. Let a be 2\/6 - 0\/(-1). Is o less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12002 (base 3) to base 16\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103460437404.7241389 + -97067902575.724125. Let b = v + -6392534526. Let i = 303 - b. What is i rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - -6. Suppose -2*m + 350 - 118 = -3*i, 5*i = 5*m - 560. Calculate the greatest common factor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/12 - v**3\/6 + 12*v**2 - 7*v. Is 22 a factor of i(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(-1 + sqrt(13)) + -3.\nAnswer: -11 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.1. Let n = -3.2 - -4.18. Let s = n - 0.88. Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36299998\/(-10) - 11\/55. What is a rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -5*x + 4*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -997 (b) -2 (c) 5.4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/17 - 164*a**2\/17 + 2802*a\/17 - 10476\/17.\nAnswer: -2*(a - 9)*(a - 6)*(a + 97)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1557 divided by 43643.\nAnswer: -1557\/43643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 5:58 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o + 452*o = 99*o + 18400 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*v - 10 = 0, -t + 2*v + 1 = 3. Suppose 0 = t*x + 3*x - 5. Suppose x = d - 10. What is the highest common divisor of d and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -581 - -627. Which is smaller: 53 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u + 6646 = -89*u + 32*u + 9948 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from dnldnlllnlnndnnnd.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1175\/(-470))\/(75\/(-27)))\/((-6)\/(-25))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = -4*l. Suppose l*z - 4 = s + 30, -z - 14 = 5*s. Sort 1, z, -5 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikh when three letters picked without replacement from {k: 1, b: 2, o: 5, h: 1, i: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 15 = y - 124, 2*y = -5*s - 177. Let t be (-462)\/s - (-2)\/(-10). Calculate the common denominator of 125\/6 and t\/60 + (-10)\/(-12) + -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -112*d - 5. Let f(o) = 20*o**2 + 12*o + 2. Calculate z(f(m)).\nAnswer: -2240*m**2 - 1344*m - 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 3. Let a(q) = -q - 15. Let d be a(0). What is the remainder when ((-114)\/d)\/(2\/10) is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*k + 63, -82*k + 52 = 2*l - 85*k. Suppose 0*i + 387 = 3*i. What is the remainder when i is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 5 (b) -3 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 241?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3072)*-2*-4 + 2.\nAnswer: 2 + 256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -36. Let f be 4 - -5*l\/(-10). Solve 15 = 5*t, 5*s - f*t - 6 = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p*t**5 + 324337*p*t**2 - 6316*t**5 - t**2 wrt t?\nAnswer: 600*p*t**2 - 378960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8454784 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 36 (b) 0.5 (c) 1\/17 (d) 20 (e) 1 (f) 2 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2901.9*-3866.\nAnswer: -11218745.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -380. Suppose 0 = -5*p - y + 401. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 207.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 + 1.4. What is the second biggest value in -1\/2, k, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4955 and 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*d - 209*d + 5*c = -45, 3*d - c - 15 = 0. What is the remainder when 1823 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57416393 at least 57416388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83.41926cm?\nAnswer: 0.0008341926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 6:48 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 14301*b - 89*b**2 + 14291*b - 38 - 28594*b in the form f*b**2 + k*b + h and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041237 to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (4 + 31)\/(-5). Let 56*w**2 + 6 + 12*w**3 - p*w + 61*w**2 - 123*w**2 - 3*w**5 = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7))\/(l**(-8\/5)*l)*l**(-1\/3)*l**12 assuming l is positive.\nAnswer: l**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 2*x. Let a(u) = -20*u**2 - 26*u - 14. Let p(f) = -7*f**2 - 9*f - 5. Let j(c) = 6*a(c) - 17*p(c). Calculate j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 + 10 = -3*n, -5*n - 10 = 2*w. Let k = -7625 + 7579. Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12.3. Let h = -303\/5 + 61. Sort h, g, -0.3.\nAnswer: -0.3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 80. What is the remainder when 6246 is divided by m(62)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.043 > 2\/26677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**4\/24 + 31*d**2. Let n(r) = -1646*r**2 + r. Give o(n(z)).\nAnswer: -1646*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide (1044\/(-27))\/((1\/(-84))\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 134112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3850)\/315 + ((-4)\/(-10) - (-43)\/5))*9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635683 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -1037, -1560, -2085, -2612?\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 305\/4. Let v = 207 - 14281\/69. Let m = v - -19\/138. What is the common denominator of m and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1316273\/4 - 329068. Factor 9\/8*l**2 + l**3 - n - 15\/8*l.\nAnswer: (l - 1)*(l + 2)*(8*l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 12*x - 21. Determine f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.8 to zero decimal places.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:29 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**7\/840 - t**6\/90 - t**5\/60 + t**4\/24 - t**3\/3 + t**2. Let a(b) be the first derivative of u(b). Calculate a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101020221 (base 3) to base 11.\nAnswer: -5688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6788738 is divided by 1131455.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52321? (a) -6 (b) 3 (c) 0.1 (d) -2\/5 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 4) to base 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)\/i))\/i*i**11 assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225510*s**2 - 1127556*s**2 + 225509*s**2 + 225510*s**2 + 225513*s**2 + 225510*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*1221\/396 - 10\/(-45)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and 335.243?\nAnswer: 335.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(z**3 + 0*z + 0*z) + (10*z**2 + 59 - 59)*(-z - z + z) - 2072 + 73*z**3 + 2072.\nAnswer: 64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 19*c + 18*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2148 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:34 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.7. Let w be 8\/12*((-108)\/(-20) - 6). Which is the closest to -2\/5? (a) t (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1924.788 and -0.13.\nAnswer: 250.22244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 0 - (20 - 14)) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -147. Let n = -47 + u. Let w be n\/(-7)*3 + 2223\/91. Is w equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 2. Suppose x*m - 380 = -2*t, -m - 1 + 3 = 0. What is the remainder when t is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 360993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, -22, -12, -5, 0.\nAnswer: -293, -22, -12, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 34 = 4*t, -f + 3*t + 18 = 0. Suppose 15 = f*n - 12*n. Let u = n + 10. Solve 0 = -7*r + 4*r + u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192977371 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 9*o**2 + 5*o + 24. Give h(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*6*(3 + sqrt(1331)*2 + 5)*-1 + -4)**2.\nAnswer: 7273728*sqrt(11) + 111716368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/(-15) + (1\/4)\/(219\/(-7008))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/27 + 424\/36. Suppose -k - 4*k + 6 = -4*d, 2*d + 5*k = v. What is the lowest common multiple of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325260 (base 7) in base 8?\nAnswer: 157366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/4 - 2*z**3\/3 + 3*z**2\/2 + 10*z + 2. Suppose 0 = -62*o + 149 + 161. Does 20 divide y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/15)\/5*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23485008, 46970012, 70455014, 93940014, 117425012, 140910008?\n\"Answer: -v**2 + 23485007*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2499 + -691. Let a = t + 12663\/4. Calculate the common denominator of a and -23\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -706*j**2 + 305*j - 2. Let p(t) = 2117*t**2 - 864*t + 6. Give -17*f(n) - 6*p(n).\nAnswer: -700*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dd141 - -a?\nAnswer: -1dd137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101053973577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1383028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.659 - 10.659. Are f and 5.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*t = 5*t + 8, 2*v - 3*t = 4. Let z be v\/4 + 15\/(-12). Suppose 0 = -o - 1 - 0. Is z bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wiiiiiiiiwwiwiiwii?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9092 is divided by 3009.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54333 and 0.37?\nAnswer: 54332.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 28*x - 16. Calculate d(-10).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h + 6. Give s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let x = -26363 - -26365. Let m(k) be the first derivative of 12 + 0*k + 7\/2*k**x. What is m(i(u))?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, l: 4, s: 1}. Give prob of sequence slli.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 2 (c) 5 (d) -13 (e) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 + 143 - w**3 - 8*w - 362 to the form v + t*w**2 + r*w + s*w**3 and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 5) in base 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1171216*d. Let c(p) = 13*p**2 - 3. Calculate f(c(a)).\nAnswer: -15225808*a**2 + 3513648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 8. Let a = 843 + -847. Give d(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 48 = -l + 38, 0 = -5*a - 3*l + 150. Calculate the smallest common multiple of a and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 391483615525.\nAnswer: -391483615525.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6636*a = 56120 + 123052 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*sqrt(245)*-3 - (sqrt(5) - (-4*sqrt(40)\/sqrt(8) + sqrt(5)) - (sqrt(50)*-1)\/sqrt(10))**2.\nAnswer: -63*sqrt(5) - 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19092 and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2192 + 3676. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 1269, 2633, 4477, 6795, 9581, 12829, 16533?\nAnswer: 20687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 262 = -280, d - 5*l - 1058 = 0. What is the smallest common multiple of 187 and d?\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 268. Is (-10)\/(4 + 858\/r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 13 - 82 = 0. Suppose -2*n + 48 = s*a, 3*n - 5 + 1 = a. Let x(z) be the first derivative of -z**4\/4 + 3*z**3 - 4*z**2 + 5*z - 6. Give x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817341657 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 27. Suppose r + 0*i - v = i, 0 = -r - 2*i + 25. Suppose 2 = -2*s + m + r, 2*m = -3*s + 29. What is the remainder when 17 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 434*h. Let c(z) = -19*z. Determine c(i(l)).\nAnswer: -8246*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d - 8*d = 0. Solve 0 = -d*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:01 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.139, 4, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a factor of 5887360028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1523712 (base 8) to base 15.\nAnswer: 89380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:00 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -27. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-18)\/q)**(1\/53))**(-12) assuming q is positive.\nAnswer: q**(228\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 329335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1820697102 - -1820697108.112087752. Let v = 41.112087042 - h. Let r = 35 - v. What is r rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458689.\nAnswer: 43, 33923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18101?\nAnswer: 23, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 + 2. Let r(h) = h**3 + 1. Let j(x) = m(x) - 2*r(x). Find the third derivative of j(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y + 172. Suppose 3*d + 5*h = 143, -2*d + 5*h + 62 = -0*d. Let i = d - 26. What is the remainder when y is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*n = 324, 128*f - 130*f = 4*n - 120. Suppose 0*j + 2*j - 86 = 0. Let z = 60 - j. What is the remainder when f is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001272017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 5*m**2 - 4*m + 4. Let x be i(4). Let p = 4 - x. Do p and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 25 - 14*q**2 + 6*q**2 + 5*q**2 + 4*q. Give j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 4, -1 in descending order.\nAnswer: 163, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 377, 841, 1457, 2207, 3073, 4037, 5081?\n\"Answer: -3*t**3 + 103*t**2 + 6*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j**4 + 611868*j**3 - 2599980097*j**2 + 866609044*j - 72216004 = 0. Calculate j.\nAnswer: 1\/6, 8498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1769601006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5030 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87306430522 less than 342?\nAnswer: -87306430180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 3. Let v(d) = -2*d - 21. Let x be v(-13). Let c be z(x). Suppose -c*m - 877 = -19*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4601143 to 2 decimal places.\nAnswer: 3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591962372 divided by -28186.\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdldo. Give prob of sequence oq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26350637 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u + 472. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1154329770 by -932415.\nAnswer: -1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -16, 7*q - 4*q = -4*m + 20. Let v = 55 - 56. Sort v, 4, m in decreasing order.\nAnswer: 4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -92*l + 127*l. Let k(w) = -w + 1. Let s(y) = 8*y**2 - 2*y + 2. Calculate l*s(f) - 4*k(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = -y, -2*y - 2*y - m = -118. Suppose 4*r - 4 = -0. Let s be 2 + (3 - (r + -71)). What is the highest common factor of s and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:24 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5175 - -5402.9. What is u rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16 + (-9 - (-15)\/160*-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, 39, 9, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1fffe3 (base 16) to base 5\nAnswer: 1014101443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 509156 and 1456.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-14) - 2\/4. Suppose u*s + 48 = 2*s. Suppose 5*t - s = 3*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*l + 9045, 9042 = 2*a + 7*l - 9*l. Let f = a - 3169. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 5*l - 48. Let k = 27 + l. Find the third derivative of 9*y**2 + k*y**6 - y**2 - 11*y**6 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1520, 48 in increasing order.\nAnswer: 25, 48, 1520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1049336, 1049495, 1049654, 1049813, 1049972?\nAnswer: 1050131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 13*l**2 + 22*l - 110. What is i(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/209 less than or equal to -882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.41, 10.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**8)\/p**(-3\/8)*(p*p\/(p\/(p**2\/p*p))*p)**(-16))\/((p**2)**(-2\/93)\/(p**(-2\/11))**(-14\/11)) assuming p is positive.\nAnswer: p**(-6243217\/90024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 0.55. Let r be 0 - -8*(1 + 0). Let w = r - 12. What is the biggest value in -5, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84531 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 + a**5\/5 + a**4\/4 - a**3\/6 + 3*a**2. What is the tens digit of p(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/9)\/u)\/(u**1\/u*u))\/(u**(-1))**(11\/6))**(-32\/7) assuming u is positive.\nAnswer: u**(80\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194*g**6 + g**2 - 31 wrt g.\nAnswer: -23280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13767, -12743, -11719, -10695, -9671, -8647?\nAnswer: -7623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, c: 4, w: 4}. Give prob of picking 1 c, 1 w, and 1 u.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -406*y - 1604. Calculate f(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84693988142 from 0.28.\nAnswer: 84693988142.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 4*m**3 - 3*m**4)*(-22861 - 19935 + 14306 + 9726 - 29701 - 7213).\nAnswer: 167034*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(14\/56). Let p(f) = -3*f**2 - 2*f**2 + 8*f**d. Let q(s) be the second derivative of s**3 + 2*s. What is p(q(j))?\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/795755752 and -121\/18.\nAnswer: 7161801768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*n - n + 377.\nAnswer: n + 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.9 - -3.1. Is 0.22 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 3*z**2 - 4*z**2 + (4 - 2*z - 4)*(-4*z - z + 2*z))*(-6 + 48 + 4).\nAnswer: 368*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 491227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/20 - 51*m**4\/8 - 94*m**3 - 741*m**2. Factor x(b).\nAnswer: -3*(b + 4)*(b + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598 divided by -20.\nAnswer: -299\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 634*y**3 + 314*y**3 + 296*y**3 - 10.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181887 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 124972*r - 374843. Give m(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*o - 9*o - m, 5*o + 4*m = 46. Suppose -o*c + 2*c + 704 = 0. Let v be (4 + -54)*c\/2. Round v to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {n: 9, o: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/(-9) + -2 + 6. Which is the smallest value? (a) -4 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 279*q**2 + 5*q - 29. Is m(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/1299 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000357 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5861 + 5849 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:39 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-3 - -2*2)\/(-1)). Which is the third biggest value? (a) z (b) 1 (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*m**2 - 743789*k**3*m - k**2*m**2 + 220*k*m**2 - 2*m**2 + 7*m wrt m?\nAnswer: -2*k**3 - 2*k**2 + 440*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13604.24 - 13604. Which is the nearest to f? (a) 0 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k = -43*k - 9*s - 10, 4*s = -0*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 30 = -168. Suppose -41 = -3*t + 4*o, 3*t = 5*o - 0 + r. Let w(y) = 8*y**2 - 160*y + 33. Calculate the remainder when w(20) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2556 is divided by 374.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 14*s**2 + 16*s. Let v be f(15). Suppose -2*n - 3*n = -v, 5*n = b + 17. Let l(z) = 2*z. What is l(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/6 - 7) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3866360 divided by -23.\nAnswer: -3866360\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 548*k**2. Let w(c) = -2*c - 43. Determine p(w(l)).\nAnswer: 2192*l**2 + 94256*l + 1013252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 14. Let z be n(-7). Suppose -m + 3 = -1. Differentiate -3 - 10*r + 5*r - m + z*r with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 20*b - 21. Suppose 0 = 11*n - 153 - 56. Let j be s(n). Let o be 84\/15 - 16\/j. Solve -h - h = -o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n*n\/n**(-1\/9)))\/n**(8\/11) assuming n is positive.\nAnswer: n**(16\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:13 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 + 26*u\/3 + 77 = 0.\nAnswer: -7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i\/i**(-1\/3)))**18 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + 7\/2. Suppose -y + s*y = 8. Factor -y*p**3 + 0*p**3 - 3*p**4 + p + p**2 + 2*p**4 + 3*p**3.\nAnswer: -p*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**3 + 3*t**2 + t - 21*t**3 + 0*t - 3 + 13*t**3 in the form d + a*t**3 + r*t**2 + x*t and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -1182495?\nAnswer: -1182489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/15 + g**4\/12 + g**3\/6 + 2*g**2. Let k be o(-1). Let z = -0.01 - -0.11. What is the biggest value in z, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3858 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 4*i - 24. Determine m so that -2\/7*m**i + 4\/7*m - 4\/7*m**3 + 2\/7 + 0*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 5*u**2 - u + 7. Let m be g(-5). Suppose m = y - 6. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 585?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 + (-138)\/(-4). Suppose -2*p - 2*k = -n, -17 = -5*p - k + 56. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836125.\nAnswer: 5, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 122149*x - 14920378201\/2.\nAnswer: -(x + 122149)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*34\/(-4692)*1716\/91.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/3 - 235739*h**4 + 3536133*h**3 - 57285607*h**2\/3 + 43612590*h - 35361600 = 0.\nAnswer: -707232, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*v + 26832 = -16*v. Let b(y) = 12*y + 8. Let t be b(8). Are v and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2593371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261988866*j + 317435225.\nAnswer: -261988866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6466 - -21.9\nAnswer: 6487.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 25. Let m be i(-44). What is the greatest common divisor of 217 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-14)*1*-2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 15*m - 13. Suppose 18*d + 117 = 27*d. Give l(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6167 * 4.04\nAnswer: -24914.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135\/952 + 2\/119. Let p be (2 - 2)*6\/12. Is p bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 2 (c) 4 (d) 0.3 (e) -99\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112021 - 9128. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*r**2*x + 169*i*r*x - 66*i*x - 6082*r**2*x + 4*r wrt r.\nAnswer: 2*i*x - 12164*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 75*g**2 - 1105*g**2 - 4*g + 14*g. Let i be v(-5). What is i rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414149?\nAnswer: 3, 11, 42853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*z = -1664, 5*b - 6*z - 1658 = -2*z. Is b a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139639403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*d**3 + 94*d**3 + 63*d**3 - 10*d**2 - 2 - 3*d + 22*d**3 + 111*d**3 to the form t + x*d**3 + f*d + j*d**2 and give x.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 - n**4 - 11*n - 2 - n**3 + 6*n to q*n + c + m*n**4 + j*n**2 + k*n**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6115)\/(-4) + (3 - 2\/40*35) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33898907*o + 65062208?\nAnswer: -33898907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 2*w. Let m(f) = 4*f**3 + 7*f. Let h(p) = 21*i(p) + 6*m(p). Let j(d) = d**2 + 3*d + 3. Let g be j(-2). List the prime factors of h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5 = 0, y + 19 = -2*o - 4*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16165 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -228, -1697, -5664, -13377, -26084, -45033, -71472, -106649?\n\"Answer: -208*r**3 - r**2 - 10*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 19. Let d(x) = -3 + 11*x + x**2 + x - 18*x. Calculate d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + 218. Suppose 822 - k = a. Suppose a = 3*i - 0*i. Round i to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/24 + 0 + -3. Let m = 108 - 112. Which is the closest to -1? (a) g (b) 10 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) - (0 + sqrt(68))) - (sqrt(68) + sqrt(68)*1)*1)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 911736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 195.55 and 3.36?\nAnswer: 192.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389429313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 820 - 825. Suppose 3*o + 3*d - 12 = 9, o = d + 7. Put j, 2, o in decreasing order.\nAnswer: o, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 14*i - 660. Let w be 11\/4 - (-15)\/i. Suppose w*a + 87 = k, a - 293 = -4*k + 2*a. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, f: 1, r: 5, i: 1, t: 2, p: 5}. Give prob of sequence rif.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3137725 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 3*p - 3. Let t be h(5). Suppose r - 4 = t. Suppose 3*u + 12 = 78. Calculate the highest common factor of u and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -34. Let y be 2\/v - 66\/(-18) - 0. Solve -4*m = -y + 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.5 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17584 - -17568. Let f = -13 - 6. Sort -1, f, m in decreasing order.\nAnswer: -1, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/8))\/b)**(-5\/18) assuming b is positive.\nAnswer: b**(-5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150042029*w**2 - 495251908.\nAnswer: -300084058*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1897464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16583 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/2))**(-34)\/((j\/j**(-3))\/(j*(j**7\/j)\/j)) assuming j is positive.\nAnswer: j**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/100 - 11*p**5\/150 + 2*p**4\/15 + 4*p**3\/15 - 9*p**2. What is s in l(s) = 0?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 - 8*r + 5. Let d be a(8). Solve -f = 4, -k = 4*k + d*f + 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llr when three letters picked without replacement from {r: 5, b: 5, l: 5, k: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 206, -3, -10, -9, -4 in ascending order.\nAnswer: -10, -9, -4, -3, 2, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -16.2.\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.07 + -30. Let x = -0.17 + s. Which is the closest to 1? (a) 2 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 5. Suppose -b - g*b = -153. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.046 - 0.954. Let o = -59.4 - -74. Let u = -14.5 + o. What is the biggest value in u, h, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 313. Let q(f) = 35*f**2 - 10. Give q(x(y)).\nAnswer: 315*y**2 + 65730*y + 3428905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a - 17 = 5*h, 0 = 3*a - 5*h - 14. Let w be ((-2)\/(-5))\/(a\/1410). Suppose -2*b - 4*j = -64, 5*b = -4*j + j + w. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37050 and 693576.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -55172.854 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.48, -2\/9, 0.4, 5, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 84 = k. Let r = -19 + -7. Let a = k - r. Solve -2*t = -a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*625.\nAnswer: 43.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8630.\nAnswer: 2, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 3*w**3 + 21*w**2 - 51*w - 252. Factor m(r).\nAnswer: 3*(r - 1)*(3*r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/42 + 129\/(-198) + 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.886282 and 16.\nAnswer: 78.180512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 19*p**2 + p + 16. Let a be o(-19). Let q(r) = -r**3 - 3*r**2 + 4*r + 1. Give q(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, -5, 0.051 in descending order.\nAnswer: 0.4, 0.051, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205313934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -670, 2, 5, -3, -30.\nAnswer: -670, -30, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 362819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 17.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 443 + -445. Which is the nearest to 24? (a) 4\/7 (b) 2\/7 (c) 2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-378)\/(-48) - 8) + -1. Which is the second smallest value? (a) 33 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (14 - (-15 + 34)) - -4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 52*c + 29*c**3 - c**2 - 108*c + 54*c - 6 to the form t*c + f*c**3 + b + n*c**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 0)*(4*g - 4*g - 2*g**2) - 6*g**2 + 2 - 2.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 26 = -4*o, v = -4*o + 1 - 3. Solve -5*u + 2*u = v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4997*b - 29875. Calculate v(6).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99329 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 2. Let n(k) = -k + 5. Determine -3*n(v) + 7*u(v).\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (-1 - (-3 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -34, -47, -58, -67, -74, -79?\n\"Answer: x**2 - 18*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (382602\/155)\/34 - 45. Factor -g*x + 1587\/5 + 3\/5*x**2.\nAnswer: 3*(x - 23)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -1\/2 (c) -116 (d) -0.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25138, 50278, 75428, 100594, 125782, 150998, 176248?\n\"Answer: l**3 - l**2 + 25136*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1703531775 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/448*-49*(-30)\/21.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-10)*s**(-5\/2)\/s*s*s)**(-2) assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:01 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5782 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25496, -37009, -48522, -60035, -71548, -83061?\n\"Answer: -11513*b - 13983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**7\/210 + 5627*b**6\/120 - 926*b**5\/15 + b**4\/12 - b**3\/6 + 3*b**2 - 61. Find the third derivative of f(a) wrt a.\nAnswer: 24*a + 33762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8830 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, -23, 18, -0.5 in increasing order.\nAnswer: -23, -5, -0.5, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738972 is divided by 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 5)*9\/(-18). Suppose 3*y - 15 = t - 2*y, -5*t + 3*y - 9 = 0. Let d(x) = -x**2 + 12*x + 8. Let f be d(-1). Put t, f, k, -3 in descending order.\nAnswer: t, k, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330543 divided by 1?\nAnswer: -330543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/418 (b) -2\/3 (c) 2 (d) -4 (e) 2\/97 (f) -4\/5 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by -6222\nAnswer: -45\/1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33487*b + 33643*b - 685 + 3493 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**5\/7 - 46*r**4\/7 - 12*r**3\/7 + 116*r**2\/7 + 18*r\/7 - 10 = 0.\nAnswer: -7, -5\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -647\/2 - -325. Which is the closest to 0.3? (a) -1\/4 (b) -4\/3 (c) 17 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w + 7. Let t(k) = 7*k - 8. Let z(l) = 6*i(l) + 5*t(l). List the prime factors of z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 60416?\nAnswer: 60416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53298 and 36255?\nAnswer: 644106330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -18151, -6\/11, 1\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -418, -5?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(4*d - 2*d + d) + (-5*d + 5*d + 2*d)*(-6 + 2 + 2) + 0*d + d - 2*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -60. Let i = -4511\/4 + 1121. Let u = -193\/28 - i. Which is the second biggest value? (a) 11\/3 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s - 3. Let h be r(4). Let u = h + -62\/3. Which is the biggest value? (a) -5 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222471 divided by -19.\nAnswer: -11709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a factor of 13325205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16730639 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 8*p - 63. Let l = p - 14. Let s(g) = g**2 - 7*g + 3. Calculate the remainder when 7 is divided by s(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*q = 45, -3*c = 2*c + 4*q + 75. Let k(o) = o + 19. Let s be k(c). Suppose 0 = -3*j + 2*r + s, -4 = -3*r + 2*r. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*129\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2708, -2552, -2132, -1316, 28, 2032, 4828?\nAnswer: 8548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -142\/3?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z - 4*z)*(536 - 70 + 290).\nAnswer: -4536*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 12\/17 (b) -0.4 (c) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/60 - g**4\/24 + g**3\/3 + 3*g**2. Let c be y(0). Suppose 15 = 7*s - c*s. Solve -p = s*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(48))**2 + sqrt(7) + -3*sqrt(112).\nAnswer: -11*sqrt(7) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 37 = 21*z, 2*a + 11*z = 8*z - 2*z + 9 + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (46 - 52) + 0 + 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 - 8*o**2 + 19*o**2 + 28 in the form k*o + j + l*o**2 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 298149477, 298149478, 298149479?\n\"Answer: h + 298149476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66135 is divided by 302?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/43 - 75\/344. Let c = 3126 - 3124. Let m = 0.4 + -0.2. What is the nearest to m in 0, c, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-4)\/((-16)\/(-4))*-2. Let b(t) = -k*t + 110 - 58 - 57. Give b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 88. Is ((-787)\/(-5))\/((-8)\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 2110582.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 41*v - 104*v + 2*v**2)*(-v + v**2 + v).\nAnswer: 2*v**4 - 147*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1357 + 43aa?\nAnswer: 5756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*j - 4*s - 64, 49 = 4*j - 3*s. Suppose -2*z + j + 13 = 0. Calculate the lowest common multiple of 3 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4652167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0.5, 3, -2, 1320 in descending order.\nAnswer: 1320, 5, 3, 0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309*n**3 - 10263*n**2 - 31411*n + 37 wrt n.\nAnswer: -1854*n - 20526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvhtllvhbtbk. What is prob of sequence hbt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 12*d - 61. Let m be w(16). Let n(a) = 98*a**2 - a + 11. What are the prime factors of n(m)?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from hcacuacchhacacccuca?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 - 9*g - 2*g + 2*g + 2*g + (-1 + 3 - 3)*(6*g - 4*g - g))*(4 - 2 - 1) - 2*g + 2*g + 3*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b - 781 = -2*j, -4*j + 2*b = 89 - 55 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22054239.999464 - 22054107. Let q = -728.7 + 861.7. Let t = q - s. What is t rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -102?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:27 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 273615779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6))\/o**6*(o*o**(-1)\/o*o)**(-6) assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czz when three letters picked without replacement from {z: 13, x: 2, c: 3, a: 1}?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2 + (-4)\/16*-2). Suppose -b*q = -j - 42, -2*j + 0*j + 21 = q. What is the first derivative of 6*a**2 + q*a**2 - 2 - 6*a**2 + 0 wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**4\/6 - 2*o**3 + 3*o**2 - 4*o - 4. What is p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693956733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 881241? (a) 0.3 (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/774 and -77\/55040?\nAnswer: 495360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 4 (b) 2\/5 (c) 154006 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by 8\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*j - 135. Suppose j = 3*p - 180. Determine k so that -122*k**3 + 6*k + 197*k**3 + 204*k**3 + 456*k**4 + p*k**2 + 240*k**5 = 0.\nAnswer: -1, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -88. Suppose -2*x + n*m = 20, -x - 4*x - 5*m + 25 = 0. Solve -3*i + x*f + 5*f - 11 = 0, 4*f = -i + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 10*a + 8. Let r be h(10). Solve y = -3*y + r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 13. Suppose 0*c - 5*c + 45 = 0. Does 11 divide k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 2. Suppose -d*v = -6*v. Let o(p) = p**2 + 3*p + 4. Let n(k) = k. Let r(f) = -2*n(f) + o(f). Determine r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 0 = -n. Let y = n + -1. What is the greatest common divisor of y and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 > 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109012.\nAnswer: 2, 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let r be 255\/v + (-2 - 0). Suppose -r = 4*j - 197. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + f**2 - 4)*(f + 0*f - 3*f)*(27*f + 7*f - 9*f) to p + w*f**3 + x*f**2 + q*f**4 + t*f and give x.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3553.\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 14) + (-4 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*f - 63 = 598*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 61641?\nAnswer: 678051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138294411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10633547 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0 + 0*p + 13*p**2 - 5\/3*p**3 + 1\/12*p**4. What is the derivative of a(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(84) + (sqrt(84) - -3*(sqrt(84) + -4*sqrt(84))) + sqrt(84) - sqrt(84) - sqrt(84))\/(sqrt(7) + sqrt(175)*1 + sqrt(7)) + -3).\nAnswer: -6 + 48*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -50\/91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 1741*c - 1748*c + 3484*c)*(2 - 6 + 1).\nAnswer: 15*c - 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 16*a**2 + 14*a + 16. Let q be b(15). Is 3 + 2\/(q*(-4)\/(-108)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -133*z**3 - 11*z**2\/2 + 13*z - 2. Is y(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342400*k - 15004 = 342521*k for k.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -61*p**2 - 248*p - 35. List the prime factors of c(-8).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2 - 4. Suppose h = x + 1. Does 8 divide ((-1)\/2)\/(x\/(-76))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3\/8 - 74307*a**2\/4 - 297237*a\/8 - 37155\/2 = 0.\nAnswer: -1, 49540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1 - sqrt(70))\/sqrt(7) - (-2*sqrt(160) + sqrt(160)))\/((sqrt(110)\/sqrt(5))\/sqrt(11)*3).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/57645 and -121\/540?\nAnswer: 230580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/62163 and -29\/18.\nAnswer: 124326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1604, -1335, -1066, -797, -528, -259?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 + 4*z + 5. Let t be p(-4). Suppose -3*m = -m - 3*w - 2, t*w = 4*m - 8. Suppose -b - 2*l = 4, -5*l - m = 8. Solve y - b*y = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -11, 27, 5 in decreasing order.\nAnswer: 27, 10, 5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r + 5*j, -5*r + 11*j - 9*j + 19 = 0. Solve 3*g = -r*x, -2*g - 3*x = -7*x - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*q*s**3 - 4*n**2*s + 250*n*q*s + 6518*q*s**2 wrt s.\nAnswer: 6*n**2*q*s + 13036*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*n**3 + 15641*n - 688501 wrt n.\nAnswer: 54*n**2 + 15641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1843a (base 16) to base 2.\nAnswer: 11000010000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*b**6 + 28*b**2 - b wrt b.\nAnswer: -2760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*c + 346*c + 54 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 at least -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6768.19+-8\nAnswer: 6760.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -964 and 0.05129.\nAnswer: -49.44356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6017*l**2 - 30*l - 24. Let z(p) = -6023015*p**2 + 30025*p + 24020. Let o(h) = 6005*f(h) + 6*z(h). Let w(i) = -i**2. Give o(w(x)).\nAnswer: -6005*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.20789 and -0.13?\nAnswer: 0.0270257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -9859278\nAnswer: 2\/1643213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - i**3 + 9*i**3 - 30*i + 28*i as h + p*i**3 + y*i + s*i**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -406, -0.5, 1, -0.2 in descending order.\nAnswer: 1, 1\/2, -0.2, -0.5, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9515 and -36\/12419.\nAnswer: 10742435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = 5*y, -t - 24 = 5*y - 4. Let s(h) = -4*h**2 - 19*h + 9. Let p be s(t). Solve 2*o - i + 14 = -2*i, p*o + i = -24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2156040919 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 + 14*p - 14*p)*(-3 + 3 + 2*p)*(6 - 11 - 12 - 4) to the form h + s*p**2 + v*p**3 + k*p and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = t - 302, 5*y - 42 = 2*t - 602. Let f(s) = -s**3 + 19*s**2 - 66*s + 38. Let a be f(5). What is the highest common factor of t and a?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.24 + 61.72. Let m = -4.34 - v. What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47816 is divided by 5960.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttlttcctltcctctlcc. What is prob of sequence lc?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*p**2 - 581 - 70*p**2 - 46*p**2 - 102*p**2.\nAnswer: 2*p**2 - 581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1238b016?\nAnswer: -1238b012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2 + 6. Solve b = -4*i + 20, -5*p - 2*i - 17 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 37*u**4 + 12*u**2 - 1 + u + u - u + 43*u**4 as g*u**3 + j*u**2 + o*u**4 + c*u + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**5\/5 + 4807*z**4\/4 - z**3 - 403*z**2\/2 + 2*z + 6426. Find the third derivative of r(b) wrt b.\nAnswer: 24*b + 28842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/15 + 244772*r\/15 - 7489166498\/15 = 0. What is r?\nAnswer: 61193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 77 = 4*b + 24, f = -4*b + 43. Suppose 3*h = 7*h + 168. Let m = -9 - h. Calculate the remainder when m is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 1728.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 23*c - 38. Let g = -822 + 805. Let p(h) = -2*h**2 - 8*h + 13. Give g*p(s) - 6*u(s).\nAnswer: -2*s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36761 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -156567.\nAnswer: 156566.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17*a**2 - 4*a - 1. Let f be (-1)\/(-2 - (-5)\/3). Let k be l(f). Suppose -3*h = h - k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1250*m**5 + 601850*m**4 + 16891328*m**3 - 25991768*m**2 + 9523968*m - 1024128 = 0.\nAnswer: -28, 6\/25, 1, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*o + 6*o. Suppose o*a - 68 = 6*a. Suppose -4*k + a = 2*n, 3*k + 2*k = -n + 32. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -7\/9056?\nAnswer: -7\/9056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-9))\/((-3)\/2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741461 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2356 and 36841361?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3880, 7465, 11050?\n\"Answer: 3585*b + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -73, 2 in increasing order.\nAnswer: -73, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 53*g**5\/60 - g**4\/24 + 2*g**3\/3 - 2*g**2 + 2*g. What is the second derivative of z(b) wrt b?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 10*c + 13. Let b(w) = -w**3 - 8*w**2 - 5*w + 1. Calculate the common denominator of k(7) and b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5\/k*k**5*(k\/(k*k\/(k**(-1\/2)*k)*k))**17)\/((k\/k**(-2\/7))**(2\/7)*k**(-1\/10)\/(k\/(k**4\/k))) assuming k is positive.\nAnswer: k**(-4353\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (-22)\/77. Suppose w*a = a. Does 27 divide -1 + (a - -58 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00147495 to 5 decimal places.\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2, 11, 5341 in increasing order.\nAnswer: -2, 0, 4, 11, 5341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -515. Calculate the remainder when z is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107476694 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2094595 and 83\/330.\nAnswer: 138243270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 275696.007 to the nearest ten.\nAnswer: 275700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4552*v + 4*t = 4551*v + 158, 5*v + 3*t = 110 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:55 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 8*v - 8*v)*(4 + 1 + 8) in the form l + i*v and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let r be 4*((-3)\/(-6))\/1. Let x(k) = -2*k**3 + 2*k**2 + 2. Let a be x(r). Let d be (-9)\/6*4\/a. Give t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 111?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qllf when four letters picked without replacement from {l: 5, f: 3, q: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j**4 + 93999*j**3 + 6920088*j**2.\nAnswer: -192*j + 563994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30421 take away 101125467?\nAnswer: -101155888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*c**2 + 2 - 5*c**3 + c**3 + 3*c**3 - 8*c**2 to v*c**3 + l*c + w*c**2 + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 22. Suppose m - 2 = -s. Let l be (-10)\/55 - s\/22. Solve -l = n + n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44160425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - 8) + 5 + (-17 - -1) + 1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182055 divided by 12137\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 39, 38, 21, -18, -85?\n\"Answer: -o**3 + o**2 + 13*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1026*k - 74904. Calculate b(73).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10 - (-5)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 1, z: 2, g: 1, p: 1}. Give prob of picking 1 p and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -1059, -1569, -2067, -2553, -3027?\nAnswer: -3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 12*z**2 + 38*z. Determine b(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 18*f**2 - 173*f + 43. What is x(10)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 23. Let g be ((-12)\/(-5))\/(n\/(-120)). Suppose -2*y = -g - 32. What is the least common multiple of 4 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 1445*l**2\/6 - 48450*l + 2436750 = 0.\nAnswer: 1710\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2467205 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -2484.\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 3*t + 5\/6*t**3 + 5\/12*t**4 + 0*t**2. Find the second derivative of a(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3602 and 142425?\nAnswer: 513014850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 - 363 = 181*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170598917?\nAnswer: 239, 691, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2. Let b(h) = h**2. Let t(r) = -3*b(r) + k(r). Let x(y) be the third derivative of y**5\/6 - y**2. Calculate x(t(v)).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - -10c?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/11 - 256*x**4\/11 - 4438*x**3\/11 - 24108*x**2\/11 - 53280*x\/11 - 41472\/11 = 0.\nAnswer: -8, -3, -2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 0.5164603.\nAnswer: -4.4835397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*s - 113, 5*m - 6*m + 5 = 5*s. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 180 = 0. Solve -u + 6*u = 5*q - j, -3*q - 2*u = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 708 and 708 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/(n*n**0\/n))\/(((n\/((n\/(n\/((n*n**2)\/n)))\/n*n))\/n)\/n)**(-1\/39) assuming n is positive.\nAnswer: n**(35\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18975332 + -0.036?\nAnswer: -18975332.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -8 + -26 + 18 + 75\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6 + 4 = 0. Let m(k) = k**2 + 3*k - 3. Let b be m(-5). Let v = h + b. Put v, -3, 4 in descending order.\nAnswer: v, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 1 - ((-5 - -22) + -23 + 20)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3*3*-2. Let x(b) = -b + 2 + p*b**2 + 0*b - b. Let i(o) = -o**3 - o**2 + o - 1. Determine 2*i(h) + x(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-3)\/27)\/((-2)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 455281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-28)\/8 - -4). What is the first derivative of 11 + 0*w**3 - 54 - 48*w + 39*w + v*w**3 wrt w?\nAnswer: 6*w**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, d: 3, e: 5, t: 2, l: 5}. What is prob of sequence yle?\nAnswer: 25\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 33*a**2 - 8068*a**3 + 16140*a**3 - 8074*a**3.\nAnswer: -2*a**3 - 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -141*d**6\/10 + d**5\/20 + 21*d**4 - 1669*d. Find the third derivative of h(q) wrt q.\nAnswer: -10152*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i + 26 = -964 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85488796 + -2?\nAnswer: -85488798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15947 is divided by 857?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 + (-1 + -8 - -22)) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, 1088\/19, 4, -0.002?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57173\/92 - 2495\/4. Let h = 18\/5 + -103\/30. Find the common denominator of h and d.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -71*z + 39. Let a(f) = -73*f + 46. What is -5*a(h) + 6*o(h)?\nAnswer: -61*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w + 16143 = 0. Let x = 86045\/16 + w. What is the common denominator of 15\/2 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 3. Let q be i(-3). Let m be (9\/2)\/(1\/2 - 1). Let v be m + 11 + (-28)\/13. Which is the closest to -1? (a) v (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*u + 2*o - 6, 0 = 3*u - 3*o - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - 80\/(-30). Suppose 15 = -m*w - 129. Let q = w - -119. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 14*t. Let s be -1*(-1)\/(1\/2). Put -2, t, s in increasing order.\nAnswer: -2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.024657.\nAnswer: -0.0073971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113651, 227682, 341715, 455750, 569787, 683826, 797867?\n\"Answer: x**2 + 114028*x - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 129*u - 4018. Determine s(52).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from bpllbbmllpmbmlbpllbb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -95743 + 349*k + 191489 - 95746 as j + x*k and give x.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Suppose -3*l - 12 = -4*a - g*a, -16 = 5*a + 4*l. Suppose a = 2*r - 17 - 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -16 + 16 - -2) + 1 + 34 + 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**5\/c*(c\/(c**(-10)*c))\/c*(c\/(c**(2\/5)\/c))\/((c\/((((c\/c**(-2\/9))\/c)\/c)\/c))\/c*c) assuming c is positive.\nAnswer: c**(577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 + 7*d**2 + 3*d + 4. Let j(f) = f**3. Let n(r) = -a(r) + 5*j(r). Let g be n(-8). What is the highest common factor of g and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10000 at least as big as -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 x when four letters picked without replacement from xrrtgxgrrttrt?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 790080 divided by 120\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 16*y - 58*y)*(2*y + y - 4*y) + (-2*y**2 + 2*y**2 - y**2)*(-4 + 0 + 3) - 3*y**2 + 0*y + 0*y + (2*y - y - 2*y)*(2*y + y - y).\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7993 is divided by 470.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5*-954.67041\nAnswer: 4773.35205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166691340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*t = 35, 5*t = c - 19 - 9. Let p = 7 + c. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -342*j + 122771. What is x(359)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**7)\/k**(-2) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 p when three letters picked without replacement from lmxmpl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 48. Let k be d(0). Let v = -50 + k. Which is the closest to 1? (a) -0.06 (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 64.6. Let i = -14 - g. Suppose -2*n + 3 = t - 11, -3*t + 12 = n. Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118\/531)\/((-24)\/(-27)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1223103 - 13?\nAnswer: -1223122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32330 and 204045.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-5*2\/(-80)). Let x be (-1)\/((-4)\/r) - 3. Solve 0*c = c - s + 6, -x*s + 29 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0442268 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/60 + 3*a**2\/2 + 2*a. Let x(i) be the first derivative of s(i). Let h(v) = -2*v**2. Give x(h(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164142125 (base 7) to base 4.\nAnswer: 222233103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -6552.\nAnswer: 6551.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 113 + (-9 - (-89 + 99 + (3 - 13))) + -1\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 558120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 1\/2 (c) -4\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323 - -322.99621. Round j to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 48507\/6766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d**(1\/4)*d))\/d*d)\/(d**(-22)*d))\/(d**(-2\/7))**(-2\/15))**11 assuming d is positive.\nAnswer: d**(100309\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*d + 4 = 0, 3*y - 3*d - 6 = 6. Determine l so that 3*l**2 - 2*l**y + 1 + 2*l + 0*l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (39\/(-195))\/(2\/(-2870))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 42. Sort -5, -2\/5, j in descending order.\nAnswer: j, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 11:36 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 396*k\/5 + 19602\/5.\nAnswer: 2*(k + 99)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-27)\/4 + (-62)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 5272 = -699. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 12*n**2 + 15*n - 26. Let q be s(13). Let k(f) = -12*f + 3. Calculate the smallest common multiple of 18 and k(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2948*h + 2944*h + 222*h**3 - 5892*h - 231*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 36 = -21*b + 34*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16712\/79382 + (-426)\/38\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46621411 is divided by 1602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 72 = 5*b. Suppose -k - 3*k = -3*f - 23, -2*k + b = -4*f. Let z = f + 16. What is the remainder when 12 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130834900 rounded to the nearest one hundred thousand?\nAnswer: -130800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(-8))**(13\/4)\/((c\/(c\/c**(2\/3)))**(8\/11)*(c\/(c**(-2\/11)*c))\/c*c**(1\/5)) assuming c is positive.\nAnswer: c**(-193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-12.7.\nAnswer: -11.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60270\/3731 - 16*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 39*r + 46563 = 0. Let c = r + 25459\/6. What is the common denominator of 59\/406 and c?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8112 - 30*g**3 + 8108 - 16220.\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*sqrt(15)\/(sqrt(21)\/(-1*sqrt(7))) + sqrt(100)\/sqrt(45)*4).\nAnswer: 115*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-15))\/(1\/3)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x - 5*x)*(-2 + 3 - 2)*(3*x - 3*x - x) to the form w*x + n*x**2 + u and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 584*x**3 + 3*x + 5. Let g be o(-2). Let p = g - -2633. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -18*b - 1142*b**2 + 1311 + b**4 + 270*b + 17*b**4 - 1311 + 32*b**3 = 0.\nAnswer: -9, 0, 2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 15) + (175 - 170) - (1 + -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105.46 - 20.56. Let u = f + -85. What is the smallest value in -1\/4, 3, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is k in -1458*k**2 - 167033232*k - 4783967865632 = 0?\nAnswer: -1546604\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - 2121?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -12. Let g = -239 - -240. What are the prime factors of i\/((g*-2)\/(6 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -323103666 divided by -6?\nAnswer: 53850611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190001499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -687\nAnswer: 29\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-42)\/140)\/(18\/(-30)))\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + 2 + -23 - 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (2 - -5) - (3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose -5*q = -321 + 316, m - 2 = q. Solve 5*d + 7 = -3*n + m*d, 5*d + 4 = -o*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**3 - 114*z**2 + 48*z.\nAnswer: -3*z*(z + 8)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*a**2*g + a**2 + 184*g with respect to a.\nAnswer: -46*a*g + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -125\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/180 - a**5\/60 - a**3\/3 - 2*a**2. Let g(u) be the first derivative of w(u). Find the second derivative of g(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2048 and -95\/1824768.\nAnswer: 1824768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470658 and 12550880.\nAnswer: 37652640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -0.09 (c) -0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5348729 is divided by 486247?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25.98864 millennia?\nAnswer: 259.8864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:43 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 220*p**3 + 6*p**2 + 5*p + 5. Let j(z) = 219*z**3 + 5*z**2 + 4*z + 4. Give -5*j(h) + 4*v(h).\nAnswer: -215*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1331 + 2637 - 1306 + 2347*x in the form q*x + u and give q.\nAnswer: 2347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 - 0.1. Let k = 3924\/13783 + 2\/1969. Which is the third biggest value? (a) k (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38361.6304+-403\nAnswer: 37958.6304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*f = g + 8, -5*f + 32 = -g. Let s be (-4)\/g*(-13 + -2). Let b(u) = -u - 1. What is b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 4913*t**8\/1680 + 289*t**7\/175 + 17*t**6\/50 + 2*t**5\/75 + t**2 - 25. What is m in g(m) = 0?\nAnswer: -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(175)*3*-2.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*(-2)\/22. Let z = -36 - -35.93. Let c = 0.93 - z. What is the closest to n in -5, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 59*n - 101*n. What is the smallest value in -0.7, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 4 - 1)*(3*m**3 + 4*m**3 + 11*m**3) - m**3 - 4*m**2 + 4*m**2 + (-1 + 2*m + 1)*(m**2 - 4*m**2 + 5*m**2) + 2*m**3 + m**2 - m**2.\nAnswer: 293*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 44085211285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(18) - (0 + sqrt(18)*-2))**2*-1.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(11) + 1 - (5 + sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11))) + sqrt(275) + 2 + -5*sqrt(11)*-1)**2 + -5.\nAnswer: -20*sqrt(11) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.59939 nanoseconds to seconds.\nAnswer: 0.00000007159939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-2\/7)*a*a*a)**27)**(9\/10) assuming a is positive.\nAnswer: a**(972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 3*a = a - 27, 68 - 60 = 2*q - 2*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -28. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -107 and -4024?\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:28 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 364130401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.48 + -0.98. What is the third biggest value in -0.3, 1\/16, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 5. Let b be k(4). Let j = -20.917 + 25.917. Sort 1\/5, b, j, -0.1 in increasing order.\nAnswer: b, -0.1, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -813*f**4 - 523 with respect to f.\nAnswer: -3252*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:09 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/5)\/(k**(-6\/31)*k)*k**41*k**41*k*k assuming k is positive.\nAnswer: k**(12802\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + -1.2. Let d = k - 0.9. Let m = 2.7 + d. Sort m, 0.2, -3\/7 in increasing order.\nAnswer: -3\/7, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 256.4281 decades?\nAnswer: 30771.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*((-198)\/(-858))\/(6\/13).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 2*l + 1. Let b be o(-1). Suppose b = 5*n - 4*n. Let j = -5.08 - -0.08. What is the closest to n in -2\/7, -3, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -895 + 910. Let c = -41\/10 + 18\/5. What is the second smallest value in j, -0.3, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/12 + 7*t**3\/6 + t**2\/2 - 31*t. Determine f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.83 (c) -1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 16, -15, -66, -143, -252, -399, -590?\n\"Answer: -k**3 - k**2 - 7*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1789*k - 1717*k - 1008 = 0. What is the greatest common divisor of k and 47012?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(15\/(-24))*2. Suppose 2*j = -2*j - 4*g - 16, j - 3*g - y = 0. Let u be j\/2*(-16)\/22. Is 0 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -117\/703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1473, -3, -1, -5, -2 in descending order.\nAnswer: 1473, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 5*r - 40 = 13*h, 0 = -r + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*j = -6, -4*g - 19 + 13 = -3*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Suppose -4*s - j = -27, -2*j = 5*s + 18 - 54. Suppose 0 = y + a*n - 5*n - s, -5*y + 54 = n. Solve -2*v = -4*v + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 8. Let d(h) be the first derivative of 4*h**2 - 7*h + 30. What is -7*d(v) + 6*i(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1726674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.1. Let w = 126 - 129. Let f be 36\/54*w\/(-5). Which is the closest to f? (a) l (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(312)\/(-2*sqrt(6)) - sqrt(52)) + (sqrt(520) + -2*sqrt(520))\/sqrt(10))\/((-1*sqrt(2304))\/((sqrt(64) - sqrt(4))*4)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xrxrrxrxrrxx?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92536*c - 92378?\nAnswer: -92536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*s = 8, 2*t - 16*s - 16 = -14*s. Factor 3 + 6*q**4 + 4*q**t - 11*q**4 - 3 - 11*q**3 - 10*q**2.\nAnswer: -q**2*(q + 1)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -696*t**2 + 11*t + 16. Let h(c) = -138*c**2 + 2*c + 3. What is 2*g(f) - 11*h(f)?\nAnswer: 126*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 4, -3, -1, 2 in descending order.\nAnswer: 4, 2, -1, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*j**4 - 19*j**3 - 3181*j**2 wrt j.\nAnswer: 984*j - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.401091 rounded to 1 decimal place?\nAnswer: 208.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11675\/8 + -1453. Suppose 3*c + 1 - 22 = 0. Calculate the common denominator of u and 3\/(-4)*c\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32728061 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41895614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 651533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1 - 6 - 1 - 3*g**2 - 7*g + 4*g**2. Let a be q(8). Let u(k) be the second derivative of k**3\/6 + 2*k**2 - k. Determine u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/8835?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -26536843?\nAnswer: -4\/26536843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4064*y**2 + 7564*y**2 - 5860*y**2 - 8778*y**2 - 8838*y**2.\nAnswer: -19976*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2381678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 17246*t + 362153. Give q(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 10*x**2 - 11*x + 2. Let f be y(-11). Let m = -1 + 2. Which is the second smallest value? (a) 0.5 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/1041121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18374 or 46\/13?\nAnswer: 46\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -138, -141, -144, -147?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20633 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38845845.\nAnswer: 3, 5, 287747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -11 (c) -2.5 (d) -75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*4\/32?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 247.7731m?\nAnswer: 247773100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 114*z = -57*z. Let s = -36 - -55. Suppose -4*k - s = -3*m + 5, z = -3*m - 2*k + 6. Solve -p = -m*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222144023 (base 5) to base 16\nAnswer: ee028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246 by 3.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -101, -117, -111, -77, -9, 99?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7655 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*18\/(-576))\/(1\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1618049 (base 10) to base 5.\nAnswer: -403234144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/13)\/(43257\/2624258)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 3*y + 3. Let x(j) = 4*j**2 + 3*j - 4. Let i(m) = 5*f(m) + 4*x(m). List the prime factors of i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 173013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.4 + -8. Let r = -7217.7 - -7218. Which is the closest to 2? (a) h (b) -0.06 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335821330 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20696 divided by 1.\nAnswer: 20696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 + 11*r + 5. Let v be x(-7). Suppose 0 = -5*g + 4 + v. Solve -9 = -3*l, 5*h + 3*l - g = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/13 (b) 0.3 (c) -1.4 (d) -0.154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, v: 3, i: 2}. What is prob of sequence vv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 3*x**2 + x**3)*((-1 + 0 - 1)*(-3 + 5 - 1) + 3 + 0 - 4 + 2 + 4 - 4).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-15*6\/(-120))\/(15\/(-312)*-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((570\/12)\/(-5))\/(2\/(-40)). Let a = g - 4. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 5*d - 9. Let w(j) = 2*j**2 - 2*j - 4. Give 6*l(x) - 14*w(x).\nAnswer: -16*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 32. Let m be (z\/24)\/((-2)\/6618). Let j = m + 1593. What is j rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 3:26 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -125*z**6\/24 - 15*z**5 + 195*z**4\/16 + 575*z**3\/6 + 285*z**2\/2 + 90*z - 638. What is t in n(t) = 0?\nAnswer: -6\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t + 104*t + 176*t - 44*t)*(-2*t - 3*t + 2*t).\nAnswer: -660*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -63, 42, -4, -2, -1, 5.\nAnswer: -63, -4, -2, -1, 5, 9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -89. What is the biggest value in 1, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**15*(f*f**(1\/4))**(-1))**(-2\/21) assuming f is positive.\nAnswer: f**(-55\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 716 in decreasing order.\nAnswer: 716, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1082 and 8.\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = d - 8, -3*d + 2*q + 13 = -7. Suppose -5*r - d = -6*r. Suppose r*s = s + 50. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*o + 71 + 681. Suppose 0*x - 8 = x. Let y = x + 3. Sort y, -4, o in decreasing order.\nAnswer: -4, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18907.\nAnswer: 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1031 rounded to two dps?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2. Let a(u) = -53*u**2 - 10*u - 2. Let r(t) = 2*t. Let c(y) = a(y) + 5*r(y). Calculate c(x(n)).\nAnswer: -477*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 205*k + 105*k - 241*k - 1 + 1 + k + (-3*k + 0*k + 4*k)*(1 + 2 - 1).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*-2*(sqrt(30)*-2 - sqrt(30)))\/((sqrt(90) + -3*-2*sqrt(90) - sqrt(90))\/(sqrt(99)\/(sqrt(11)*-2))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18960 + -18961. Which is bigger: c or 1\/53134?\nAnswer: 1\/53134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1224108984 divided by 4\nAnswer: 306027246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 558\/168 + -3. Is v not equal to 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 = -6. Let s(q) = -q + 3*q**n + q. Let j(u) = -3*u + 2. Let v(l) = -l + 1. Let f(h) = -j(h) + 2*v(h). Calculate s(f(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151029518 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-13)*(-2678)\/(-618).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1962 - 522. Suppose 0 = 2*l - 0*l + d. Round l to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1090658345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1458*j - 29 = 3*c + 1454*j, 4*j - 15 = c. What is the fourth smallest value in c, -2, -27, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4350 is divided by 340.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 182 - 917*w**3 + 916*w**3 - 92.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-65) + (-25 - (-130487)\/5096))\/(3\/20)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -59. Let v be 23 + -1 - (d - -23). Suppose 29 + v = b. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 809*f**3\/3 + 4*f + 149. Let h(n) = -n**2. Calculate j(h(a)).\nAnswer: -1618*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 224 - 3256 = 0. What is the remainder when 377 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 2, t: 3, c: 1, x: 4}. Give prob of picking 1 w and 2 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -881 + 1268. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.024 + 4.624. Let y = -1.6 + v. What is the biggest value in -7, -3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37570308.7 to the nearest 10000.\nAnswer: 37570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*u + 6*l - 10*l, -4*u = -4*l + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + f + 2)*(-65 - 65 + 16 + (0 + 1 + 0)*(2 + 1 - 1))*(-2*f - 1 + 1) to the form s*f**2 + k + q*f and give s.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 2*p + 3 + p**4 + 8*p - 496*p**2 - 3*p**3 + 494*p**2 to d*p + q + u*p**4 + g*p**2 + i*p**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l - 4. Suppose -2*p - 3 = m + 3, -4*m + p + 12 = 0. Let f(c) = c**2 - c + 1. Calculate m*f(b) + q(b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 4*m - 3*m)*(-21*m - 9*m - 11*m) + 3*m**2 - 2*m**2 - 3*m**2.\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -311583489.16\nAnswer: -311583451.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -1771\/9. Suppose -5 = s - u + 33, s - 2*u + 35 = 0. Which is bigger: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuxxpxtppxuuuxppxx. Give prob of picking 1 p and 1 t.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 21 = -5*v, -v + 2 + 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8104 divided by -4.\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l\/((l**(1\/4)*l)\/l*l)*l*l)))**(-31\/3))**(3\/10)\/((l*(l\/(l**(-1\/5)*l))\/l*l)\/l*l*l*l**(-1\/3))**(5\/7) assuming l is positive.\nAnswer: l**(-1183\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58840.495 + 0.023322?\nAnswer: -58840.471678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(66)\/(sqrt(96) - sqrt(6)))*-4.\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690300 rounded to the nearest 1000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose -3*u - 12 = -4*y + 2*u, -3 = -y + 3*u. Let c(v) = 14*v**3 - 6*v**2 + v - 6. List the prime factors of c(y).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 15*c**2 - 18*c - 19. Is 10 a factor of z(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejpeltvvppllje. Give prob of sequence ltve.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + -85. Is 10\/r - 800\/(-19) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/(-2)*70\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12629, -25405, -38181, -50957, -63733?\nAnswer: -76509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 1\/2 (c) 2 (d) -9293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = 5*h, 0*h - h + 5 = 3*t. Let r = 0.4 - -0.6. Suppose 0*z = -z + 2*y + 4, z + 5*y = 4. Which is the closest to t? (a) -2\/9 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*s - 5)*(-12 + 9 - 3).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 19*s + 3. Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -7.915?\nAnswer: -142.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1062195 by 34.\nAnswer: -1062195\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 25*d**2 - 49*d - 71. Give m(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -115. What are the prime factors of q\/(9\/(-1896)) - 12\/(-36)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1307 - -38?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1b?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -46. Let c = 42 + b. Solve -4*w + 20 = 2*i, -c*i + 10 = 2*w - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10311 (base 4) to base 13\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492 and 1312?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g = -66*g + 3*y - 1096, 0 = 4*y + 12. What is the greatest common factor of g and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -45. Let h = o + 120. What is the third derivative of -h*b + 4*b - 129*b**3 + 76*b**3 + 45*b**2 wrt b?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5567607 - 47523604.\nAnswer: -41955997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 1076 + 1054 - 1989 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 164880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*r**3 + 26*r**2 - 604*r + 80.\nAnswer: 2*(r - 4)*(r + 5)*(15*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h - 2*h)*(-h**3 - h**2 + h**2)*(-2*h + 44 - 44).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*y = 1902570012, 33*y - 2536760012 = 4*v + 30*y. Round v to the nearest 1000000.\nAnswer: -634000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3778723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 453 + -899. Let t = -433 - p. What is the remainder when 674 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - ((-56)\/35 - 2). Suppose -13*w - n*w = -238. Solve -13*d + w*d + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 162*k - 77*k - 83*k. Let u(f) = f**2 + 9*f**2 + 10*f**2. Give u(o(s)).\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2555598 + 5\nAnswer: 5.2555598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4884.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**3 + 4*c**3 - 1301*c**6 - 304*c**2 - c**3 - 7*c**3 + 302*c**2 + 356 wrt c.\nAnswer: -156120*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b23509 (base 14) to base 3.\nAnswer: 102021221100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnntnnttnnn. What is prob of picking 1 n and 3 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1300 - -770. Is ((11 + -2)\/18)\/((-1)\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, b: 6}. Give prob of sequence bb.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/(-12)*6\/(-2). Let h = w - 6. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2299) + -3 + sqrt(2299) + -2 - ((sqrt(304) - sqrt(304)*2) + -2 + sqrt(38)\/sqrt(2))))**2.\nAnswer: -2400*sqrt(19) + 190144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-8)*-18*((-64)\/2016)\/((-15)\/270).\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsii. Give prob of picking 1 b and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 + 6 - (138 + -265)) + 34?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 40898*g**3 + 82940*g**2 + 2296*g + 16 = 0. What is g?\nAnswer: -2, -2\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -2.5, -4, 7.66.\nAnswer: -4, -2.5, 3, 7.66, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-10)))**(-29)*l**(-3\/11)*l**(-4\/11) assuming l is positive.\nAnswer: l**(2864\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1713419571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 6}. What is prob of sequence oll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 8. Let l be r(-10). Suppose -8*y + 6*y + l = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/3 + 122*y - 186.\nAnswer: 2*(y + 93)*(2*y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-366 - 8*s + 366)*(0*s + 4*s**3 + 0*s) + (1 - s - 1)*(-5*s**3 - 2*s**3 + 6*s**3) + 0 + 0 + s**4.\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-120) - 1\/4. Let r = 31\/120 + z. Is r > 0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.01035 and 213.\nAnswer: 214.01035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.94 - 12.06. What is the smallest value in p, -0.4, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 3 - 2*r**2 + 9*r - 3*r + 0*r**2 - 7*r. Let z(x) = 2*x**2 + 4*x - 2. Let i = 7 + -5. What is i*l(w) + 3*z(w)?\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7749)\/1435 - 344\/(-60). Factor -9 - 3*j**2 - 9*j - a*j**3.\nAnswer: -(j + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201083 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700) + -1 - (4 + sqrt(700) + 0)) + ((sqrt(4536) + (1*sqrt(4536) - sqrt(4536)))\/sqrt(8) - -2*((sqrt(14)\/sqrt(2))**2 + 2)).\nAnswer: 13 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.025087718 and 0.4?\nAnswer: 0.0100350872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126653*k*r**3*u + k*r**3 - 5*k*r**2*u + 3*k*r + 3*r**2 + 2697*u wrt r.\nAnswer: 759918*k*u + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbeqqjjqjpjq. Give prob of sequence ebpq.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*j - 29, -13 = 3*j + j - 5*a. Suppose 20 = -5*y + 2*h - 7*h, 0 = j*y + 2*h + 13. What is the smallest value in -1, y, -19, -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 1297 - 650 + 0*s - 397 in the form x*s + a and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, 56, -2\/11, 7, 86?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-695)\/(-17) - 2) + 1228\/10438. Solve -w*f - 86 = 226 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/5 + 536*g\/5 = 0?\nAnswer: -536, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-9))\/n*n**(3\/7))**(-2\/7)*n**(2\/9)*n\/((n\/(n\/n**(-6)))\/n)*n*n*n**7*n*n*n**7 assuming n is positive.\nAnswer: n**(10376\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -365, -535, -705?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48, 100, 142, 168, 172, 148?\n\"Answer: -p**3 + p**2 + 56*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - (3 + -5). Solve t = 3*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m\/(m**(-4\/5)\/m)*m**(-1\/3)*m*m*m\/m**(-1\/8)*m assuming m is positive.\nAnswer: m**(551\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 5*w - 4. Let j be b(-6). Let l = j - 0. Let t = -1 + 5\/7. What is the smallest value in -2, l, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-14))\/(-2) - (-1323)\/2058. Let f(p) be the first derivative of -1\/3*p - 1\/3*p**3 + 15 + 1\/12*p**4 + r*p**2. Factor f(i).\nAnswer: (i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14610747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 11*d + 2. Let x be c(11). Suppose 0 = -x*r - q - 5 + 16, -q = -2*r + 17. Calculate the lowest common multiple of r and (-3)\/(-1)*(-1)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -58 + 15 - -37.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/6 - c**3 + 21*c + 12. Let q(g) = 8*g. Determine v(q(s)).\nAnswer: -128*s**2 - 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 20, 0 = 7*n - 2*n + s - 706. Let p = -83 + n. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 19. Let c = 617.9 - 618. Suppose 0 = 6*k - k. What is the closest to c in v, k, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 - 157. Find the second derivative of 39*l + c - 15*l**3 + 0*l**3 + 2*l**4 - 112 wrt l.\nAnswer: 24*l**2 - 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 53*i = -246 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12200 (base 3) to base 13.\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 469875 divided by -93975?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/15828 and 149\/641034.\nAnswer: 1282068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -67 + (1 - 0) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 20*m - 24. Let q be l(18). Suppose 509*t - 510*t = -q. Calculate the highest common factor of 294 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-14 - -10) + 6 - 40.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)*x*(x*(x*(x\/(x**(1\/6)*x))\/x)\/x)\/x*x*(x**(-4\/9)\/x)\/(x**(-2)\/x) assuming x is positive.\nAnswer: x**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 1. Let b be y(2). Suppose u = b + 10. Let o = 0 - -4. Solve -o*x = -x + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**3 - 2*d**2 + d + 1. Let l be m(-1). Let y(b) = b - 9. Let n be y(l). Suppose n*x - 2*w + 659 = 5*x, -2*x + 438 = w. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1015986*w**3 + 262424*w**2 wrt w.\nAnswer: 6095916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10179 is divided by 298?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3) + -3 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-28)\/10*245\/245.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -11) + (9 - (-240)\/(-130)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5793 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68725*f**2 - 15670?\nAnswer: 137450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 125 = 8*v. Let f be 3\/5 + 10\/v. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(2*5\/11). Let k(b) = 2*b**3 + 85*b**2 + 36*b - 228. Let g be k(-42). Is g greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxxx. What is prob of picking 3 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4105790 = -2*f - 10474210. Round f to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3462 - -3456.7. Which is the closest to n? (a) -2 (b) 0.1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73728953761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 350*v**2 - 38*v + 3. Is c(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13455 (base 6) to base 11\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + 2\/4*0. Let j = 9 - 6. Suppose -j*w = -3*f - 9, w = -4*w - 3*f - d. Is 1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 + 3114008*c**3 - 606099617124*c**2 + 13333061213120*c - 73329764358400 = 0. Calculate c.\nAnswer: 11, 389240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 211*b**2\/2 + 16*b - 1. Let d be m(9). Let f = -812 + d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885 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: Add together -0.3 and 11393.\nAnswer: 11392.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Let g = d - -17. Suppose 5 = -3*q + g. Solve -q*b = -4*p - 4*b - 12, -2*p + b - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511253462 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(3 + 2*r**3 - 3 + (4*r + 0*r - 5*r)*(-2*r**2 + 0*r + 0*r))*(-50614*r - 60 - 50609*r + 101274*r).\nAnswer: 408*r**4 - 480*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 6172 and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3586 * -21.339.\nAnswer: 7.6521654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:07 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-425 - 62 - 205 + 237)*(0*n + 2*n + 7*n) to h*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -684, -6562, -23326, -56676, -112312, -195934?\n\"Answer: -950*b**3 + 257*b**2 + b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28298, -28297, -28296, -28295?\nAnswer: -28294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = -11*y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/8 and 79\/36713781?\nAnswer: 293710248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547455 is divided by 136862.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*g + 93. Let w = -620 + 424. Let z = 253 + w. What is the highest common factor of g and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 - -65 - -51 - (1 - -85)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6373.\nAnswer: 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlpppppplpppqp. What is prob of sequence qp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -524.5 * 15325.\nAnswer: -8037962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15986124*m**2 - 52998*m - 158994. Let j(u) = -2413*u**2 + 8*u + 24. Let y(x) = -4*c(x) - 26499*j(x). Let l(w) = w. What is l(y(d))?\nAnswer: -2409*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2. Let x(m) = m**2 + 0*m**2 + 0*m**2 + 2*m**2. Give x(o(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2762, -8, 5, 0, 10, -4 in increasing order.\nAnswer: -2762, -8, -4, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21741.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 5. Let w be o(0). Suppose -3*t + 2*t + 4 = -y, 0 = -2*t - w*y + 15. Suppose -150 = -127*r + 97*r. What is the remainder when r is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -262\/3*i + 2\/3*i**2 + 260\/3.\nAnswer: 2*(i - 130)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Suppose 2*t = -2*i + 2, -3*i - 2 = 2*t - x. Let n = t + 30. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - t - 5 + 1)*(-43*t**2 + 6*t**2 - 4*t**2 + (-2 + 1 + 2)*(88*t + 27*t - 43*t)*(-2 + 2*t + 2)) to the form u*t**2 + y*t + b*t**3 + k and give u.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 230945\/38 - 1\/(-3). Let l = o - 6056. Calculate the common denominator of 184\/(-20) + (-2 - -1) and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-1 + sqrt(5) + -5)) + -1 + (sqrt(45) - sqrt(45)*2)*5)**2.\nAnswer: -150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976 (base 12) to base 10.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/114)\/(-4*4\/24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyyyyvyyyyyvv. Give prob of sequence yyyv.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j + 6441. Is z(82) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62913341*a + 15387271 wrt a.\nAnswer: 62913341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482472?\nAnswer: 2, 227, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or 9?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:57 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450359?\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from {j: 2, l: 13, n: 3}?\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 30 = 33*v. Solve 2*q - 7*q + v = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210866 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2. Let h be ((-18)\/12)\/(1\/2). Let y(c) = 7 - 3*c - 22 + 18 + 2*c. Give h*y(k) + 5*s(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 26*n = 30*n - 44, 3*n = g + 19. Let c(v) = -v + 8 - 18 - 5*v - v**2 - 5*v. What is the tens digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095104 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020011011 (base 4) to base 8.\nAnswer: -1100505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -373, -827, -1415, -2137?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 + 2. Let p = 30.24 + -30. Let l = p - -0.16. What is the biggest value in s, l, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/160 and (2 - (-3 - -1)) + 9761\/(-3440).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245055.\nAnswer: 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**2 + c**2 + 4*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872016518.\nAnswer: 2, 37, 11784007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + y - 32. Let p be j(0). Let g = -12 - p. Find the first derivative of 2 - 5 + g*s**3 - 19*s**3 wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26663163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443a (base 12) in base 14?\nAnswer: 2a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o - 5. Let s(x) = 8*x - 1. Let k = -79 + 80. Let y(m) = k*h(m) - s(m). Let z be (-1 - 0)*(-10)\/2. Determine y(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -28*(2\/11 - (-45)\/(-66)). Solve -4*n + 5*y = -3 - w, 0 = -4*y - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34760387 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/120 + 2*i**5\/15 - 3*i**4\/8 + 5*i**3\/6 + 6*i**2 - 2. Let r be z(-9). Solve -r*u - 1 = x, -2*x + 2*u - 2 = -u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 5) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -112*x - 225. Let l be h(-2). Let j = 0.4 + -0.3. Which is the nearest to j? (a) l (b) -0.2 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -213476, 0.1, -6\/79?\nAnswer: -213476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12432 = -3801*d + 3505*d for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -5\/6*h**6 + 0*h**3 + 4\/5*h**5 + 0*h**4 + 2*h + 17\/2*h**2 - 21. What is the second derivative of n(i) wrt i?\nAnswer: -100*i**3 + 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*p**3 + 12*p**4 + p - 4*p**3 - 11*p**4 + 3*p**3 to y*p**3 + r*p + x*p**4 + w + f*p**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49177\/30 + 1639. Let i = 1\/6 - r. Factor 2\/5*m**4 + 0 + 0*m**2 + i*m**3 + 0*m.\nAnswer: 2*m**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + g + g + (4 - 3 + 1)*(2*g - 1 + 1) - 2 + 9 - 5 + 63*g to j + v*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {n: 9, o: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = -6. Let v be -165*(h + (-4 - 27\/(-5))). Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12780.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2673 - -0.508282556.\nAnswer: -2672.491717444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 349 - 339 + 688.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -452802 + 5882082\/13. Let b = 334 + w. Suppose 0 = 2*r + 3*r + 5. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -580427*d - 329969 wrt d?\nAnswer: -580427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2 = -5*c - 1, 0 = -4*q - c + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390344 by -4.\nAnswer: 97586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:00 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.32804um in millimeters?\nAnswer: 0.06532804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 125*u**2 - 8*u + 5. Let p(l) = -374*l**2 + 23*l - 14. Let b(n) = 6*p(n) + 17*v(n). Let w be b(-1). Is 15 a factor of ((w\/28)\/1)\/(3\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371627?\nAnswer: 371627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -20?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**7\/35 + 7*o**3\/3 - 10*o**2. Differentiate y(z) wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15086067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3313*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -191043, -191109, -191175, -191241?\n\"Answer: -66*k - 190977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -29. Solve -5*n = -a - 12, g*n + n - 10 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-5)\/7 - (-309)\/(-21). Let b be ((-2)\/6)\/(1\/g). Suppose 0 = 3*o + 12, -19 - 1 = -3*y + b*o. Solve y = -4*u + 2 - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/30)\/(1\/((-3)\/(18\/30)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:39 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1180464 or 1180461?\nAnswer: 1180464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:43 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 12, -11, 1, -1, -3.\nAnswer: -11, -3, -1, 1, 12, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {s: 7, y: 2, o: 7}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273089664790*r + 273089664790*r + 12*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33202, 33200, 33188, 33160, 33110, 33032, 32920?\n\"Answer: -g**3 + g**2 + 2*g + 33200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -11, -26?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f + 4. Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1018 in 0.2, -3, 1\/4, 1.35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f**2 + 5*f**2 + (-4 + 4 - 2*f)*(-3*f + 2*f + 0*f) + 2*f**2 - 3 + 3 - 150*f**2 + 439*f**2 + 231*f**2)*(1 - 1 + 2).\nAnswer: 1050*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7027007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 106967*i + 213930. What is a(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63130, -124911, -186692, -248473, -310254, -372035?\n\"Answer: -61781*f - 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 112790095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/3 - -2)*3. Let w(b) = -b**3 - 4*b**2 - 4*b + 1. Let q be w(-3). Let h = q + g. Solve 12 = -3*f - c + 5*c, 3*f + h*c + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 6*o = -156. Suppose 0 = 3*h - 7*h + 40. What is the remainder when o is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57516, -114799, -172082?\n\"Answer: -57283*n - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.02 (b) 491068 (c) -5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyycyyrycccyyyyycy. What is prob of sequence yrc?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 13734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11142 and 384.\nAnswer: -10758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 99. Solve 0 = -3*a - a - 8, -x + c*a = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183305 + 183305.111591. Let i = -0.1109 + u. What is i rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -997*c**2 - 20*c. Let n(l) = -4*l**2. What is o(n(u))?\nAnswer: -15952*u**4 + 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280051161 + -11763703199\/42. Let f = j + 37007. Let n = f + 10\/3. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/50 and 79\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bopb when four letters picked without replacement from {o: 5, p: 2, d: 2, b: 9}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 24 + 94 + 104 - 345 + 83 + 88.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 + 1 + 7 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 470747 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1769841 not equal to -1769080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*s)*(-s**2 - 3*s**2 - s**2) - 2*s**3 - s**3 + 2*s**3 + (2*s + s**3 - 2*s)*(2 + 2 - 5) to m*s + i*s**2 + u*s**3 + v and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -288*h**2 + 558*h**2 - 299*h**2 + 1 in the form a*h**2 + q + u*h and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -497 - -1641. Let b = 1669 - l. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-244)\/12*(12 - 15). Let a be -3 - (5 + 0 - z\/8). Let s = 3 - -1. What is the second smallest value in a, s, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4144, 9165, 17564, 29341?\nAnswer: 44496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*1*4 - sqrt(76))\/sqrt(4).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -4 (c) 4\/7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -473*o**6\/6 - o**3\/3 + 83*o**2 + 503. What is the third derivative of m(j) wrt j?\nAnswer: -28380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*k - 17385, 9*z - 34746 = 7*z + 2*k. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b\/(b*b*b**(3\/2)*b*b*b)))**(3\/19) assuming b is positive.\nAnswer: b**(51\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 385\/6 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = -6, 5*d - 7 = -k. What is the nearest to 3\/7 in 1, d, -0.3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqkyvdky. What is prob of sequence eqke?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/7 + 4*6\/(-84).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10941, 0.04, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*r = 218*r + 378*r + 1876 + 3370 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392 - 302. Calculate the lowest common multiple of 90 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2413 + 2411. Let w = 1 - 0. Sort u, w, 4, 2 in ascending order.\nAnswer: u, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77720.442 rounded to the nearest one hundred?\nAnswer: -77700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2\/5*v**5 + 0*v**3 - v**4 - 2*v - 2 + 2*v**2. Let m(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 65*o**2 - 77*o - 77. What is the tens digit of n(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*m + 14*m**3 - 214*m.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 + 35*a**2 - 34*a**2 - 170 - 168.\nAnswer: a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 78295*r**3 - 18502800*r**2 = 0.\nAnswer: 0, 240, 15419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012*v - 8196 - 14698 + 83254 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -15. Let f = 81 + b. Suppose 3*r = -f + 77. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.29 - 7.4\nAnswer: -8.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.059765 kilometers in centimeters?\nAnswer: 705976.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 4*l. Suppose b - 1 - 28 = 0. Let v = b - l. What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 31*h - 9 = 0. What is the closest to -2 in h, -0.5, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 61*z + 23828 = 0. Let v be z\/(-140) + 30\/100. Solve 4\/5*o**2 - 2\/5*o**3 + 0 - 2\/5*o**v + 0*o = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrhr when four letters picked without replacement from hrrhhrh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23570553821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(56\/14)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 8*u**4 + 384*u**3 + 4460*u**2 + 18050*u + 25500 = 0 for u.\nAnswer: -6, -5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 1085*l**2 + 58120*l + 57040.\nAnswer: 5*(l + 1)*(l + 92)*(l + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47202644?\nAnswer: 2, 41, 287821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**7\/1050 - 21*o**6\/100 - 61*o**5\/25 - 181*o**4\/15 - 32*o**3 - 5*o**2 - 1384. Factor v(s).\nAnswer: -(s + 2)**3*(s + 120)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 30*r + 28*r - 90*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1463590974 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a17 (base 11) in base 7?\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n**2 + n)*(n - 5*n + 3*n) + 13*n**3 - 3*n**3 + 5*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62122 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - c1a?\nAnswer: -c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 3*s**2 + 0*s**2 + (9*s - 9*s + 7*s**2)*(1 - 3 + 1).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -14, 1\/7, -10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-4)*c*c)**(9\/10)\/((c*(c\/(c**(4\/5)\/c))\/c)\/(c*c*c*c\/c**(-3\/4)*c)) assuming c is positive.\nAnswer: c**(91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = k. Let s(v) = v - 5. Let w(x) = -6. Let z(c) = k*w(c) + 5*s(c). What is the derivative of z(u) wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.067, -1\/2, 4, -31.9, -1, 5 in decreasing order.\nAnswer: 5, 4, 0.067, -1\/2, -1, -31.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 2726500?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 5)*(-9*a - 31 + 31)*(-4 + 1 + 4)*(5*a - 2*a - 2*a).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, -7, 3, -5, -101, 26 in ascending order.\nAnswer: -101, -7, -5, -4, 3, 21, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31131815 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f + 74*f + 20 = -15*o, -10 = o - 2*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 80\/((-20)\/5)*5*(-8)\/(-20)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3016491504 less than 5?\nAnswer: 3016491509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 161703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764884 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0)\/(2\/(-1)). Suppose -q = 5*t - 16. What is the tens digit of t + (-1 - 3) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/135 - (-12)\/30. Let x = -0.5 - -0.8. Which is the closest to -2\/5? (a) 0.2 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -53*c. Let g(r) = -4*r**2 - 18*r - 6. Let w(x) = x**2 + 3*x + 1. Let j(p) = 5*g(p) + 30*w(p). Give n(j(t)).\nAnswer: -530*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 15 + -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*m + 14. Let a(c) = c + 75. Let b be a(0). Suppose -d + 78 = 5*o - 118, -b = -2*o + 3*d. What is the greatest common divisor of m and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693448974?\nAnswer: 2, 3, 3191, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/(-4))\/(9\/(-240)*-2). Let v be b\/(-60)*(-5 - -1). Let t(a) be the second derivative of -a**5\/20 + 5*a**4\/12 + a**3 + a**2\/2 + a. Give t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -949*n**2*x**3 - 6*n**2*x**2 + n*x**3 - 151*n*x**2 - 4*n - 2*x**3 wrt x?\nAnswer: -5694*n**2 + 6*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -5*s + 36, -2*m - 22 = -3*s. Suppose -1 = -3*k + s. Suppose u = -k*u. Solve u = -3*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394318*y + 1 - 11*y**3 - 394318*y + 1 - 4 + 2.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01048 + -0.0096. Round p to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -105 - (41 - (45 + -63 - -50))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/202 (b) -4 (c) 0 (d) 21\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/56 + 64\/7. Let q = 14 - l. Let i be (-1 - (-7)\/2)\/q. Is i equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9683 and -1.599.\nAnswer: 9681.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 8*c + 54 = 0. Suppose 4*l - 2*h = 3224, c*l + 2*l - 3224 = 5*h. List the prime factors of l.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35756535?\nAnswer: 3, 5, 619, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 4*w, 3*w + 2 = -4*d + 4*w. Let v(q) be the third derivative of 13*q**4\/24 + 1314*q**2. What is v(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from lqibillitiqilblibi?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/121 and -13\/11.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4 - 1 + 2 - 2*f + f**2. Let d be p(3). Let t = d - -2. Solve t = n + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*c - 3*c + 12 = 0, -6 = -2*m + c. Let l be 4\/m*(-3 + (-54)\/12). Is l*((10 - 11) + 209\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2\/3*u**4 - 4\/3*u**3 + 2 + 4\/3*u - 8\/3*u**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121537 at most 121537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 812 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1879699303 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.3006 nanometers to meters.\nAnswer: 0.0000000863006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -828\/7. Let s = -1.4 - -4.9. Let x = 3 - s. What is the closest to j in -1\/7, -2, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2117, 5, -13, 4 in increasing order.\nAnswer: -13, 4, 5, 2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 128586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 207*k**6\/2 - 167*k**3 + 1426. Find the third derivative of m(u) wrt u.\nAnswer: 37260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.036622035 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 916, 8837, 22024, 40465, 64148, 93061, 127192, 166529?\nAnswer: 211060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l + 272. Let r be s(31). Let d(k) = -3*k + 73. Let m be d(r). Solve -m = 6*g + 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178987349 divided by -1306477?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 + 2*y + 6. Let j be x(-4). Let r = j + 4. Let w = 17 - 8. Solve -1 = r*l - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -40.7. Let b = -3 + j. Let v = 9.6 + -10. What is the second smallest value in 0.2, v, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - (9 - -3) - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 68. Let h be 44\/6*(w + -26). Find the common denominator of (3\/h)\/((-4)\/20) and 7\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1525409.\nAnswer: 610163.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5\/90 + o**4\/36 - 2*o**2 + 4. Let j(t) be the second derivative of m(t). Suppose j(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1650*f**2 - 48*f - 8. Let w(p) = p**2 - 6*p - 1. Determine m(g) - 8*w(g).\nAnswer: -1658*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33 - 32) + (-75)\/9 + 8. Put h, -4, 0.2, 109\/4 in descending order.\nAnswer: 109\/4, h, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m - 6. Let z be s(-4). Let v be -1 + 3 + z + -3. What is the nearest to 3 in v, 1\/3, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621521*129.\nAnswer: 80176209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 40124856.\nAnswer: 280873992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (0 - (-13 - -6)) - (-4 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1003 - -1006. Solve -m*t + 4*t = -n, 0 = -t - 4*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r*y**2 + 1717*r*y - 43*r + y**2 - 12*y + 107 wrt y?\nAnswer: 2*r*y + 1717*r + 2*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxxnxxngxxxxx. Give prob of sequence xxx.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6203319054 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*h**3 + 18 + 24*h**3 - 5*h**3 wrt h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -29*l. Let s(c) = 1409*c**2 - c - 15. Calculate s(u(k)).\nAnswer: 1184969*k**2 + 29*k - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 451127791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59782\/423 - 6632\/47. Let s*o**5 - 2\/3*o**4 + 2\/9 + 4\/9*o**2 + 4\/9*o**3 - 2\/3*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-54)*((-4)\/(-18))\/(448\/28224).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*34.99.\nAnswer: -13.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.489 - 0.349. Which is the closest to u? (a) -0.14 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/7108 and -69\/30742100.\nAnswer: 30742100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 + 71. Let r = 135 + i. What is the highest common factor of r and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260) + ((sqrt(260) - (sqrt(260) - 1*sqrt(260))) + sqrt(260))*-3)\/((sqrt(180)\/sqrt(6))\/sqrt(6)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 2*j = 202, -5*n + 1023 = 3*j. Suppose -3*p = -2*z - 153, 3*z = -4*p + 6*p - 102. Calculate the highest common divisor of p and n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -356.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) -879\/11 (d) 16\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/10656 and -53\/32.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 280\/(-231)*39\/26 and -49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-10))\/(7\/35). Let j be (1\/((-11)\/(-2)))\/t. Let u = -235 - -235. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -43. Let p = l + -20. What is the nearest to -0.2 in p, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19794259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34501 is divided by 11245.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2539*n - 49 = 2532*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -0.32.\nAnswer: 24.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3785\/9 + -421. Is 1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 - a**2 - a - 1. Let o(p) = 5*p**3 - 2*p - 1. Let j(r) = r**3 + 3*r**2 + r + 1. Let f be j(-2). Let w(u) = f*o(u) - 4*m(u). Calculate w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 14. Let q be j(5). Is (q*565)\/((-7)\/(7 - 14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000464984515 rounded to five decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)\/v)**(-26)*v**(1\/8)\/v*v*v*v*v*v*v*(v**(-6)\/v*v)\/v assuming v is positive.\nAnswer: v**(-223\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Suppose l + w = -2*w + 51, p*l = -3*w + 105. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -45*w**3 + w**2 - 4*w - 4. Let k = -29 + 26. Let n be i(k). Suppose -13*h + n = -2*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by 2.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68969894 and 854.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/807455 and -41\/4256105?\nAnswer: 2481309215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + 92 + -99?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779*z**3 - 90*z**3 - 631*z**3.\nAnswer: 58*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1654?\nAnswer: -8270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12111 (base 5) to base 12\nAnswer: -636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**9*i\/(i\/(i**2*i)))\/(i**(-3)*i*i**(-5)))\/((((i\/((i**(2\/5)\/i)\/i*i))\/i)\/i*i*i)**(-36)\/(i**(-1\/2))**(-1)) assuming i is positive.\nAnswer: i**(781\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let z = 2 + x. Find the second derivative of -6*w**2 + z*w**2 - 3*w**3 - w + 4*w**2 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -581469.\nAnswer: -5\/581469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76817 and 1235.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 20*z + 16.\nAnswer: 4*(z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**3 - 58*q**2 - 6. Let g(r) = -4*r**3 + 59*r**2 + 5. What is 6*g(t) + 5*z(t)?\nAnswer: -4*t**3 + 64*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -20*q**4 - 85*q**3 - 115*q**2 - 50*q = 0.\nAnswer: -2, -5\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 5. Suppose 89*q = 87*q + 4. What is the second derivative of -z**y - 13*z**q - 4*z + 13*z**2 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 100 = -24*p. Let r = -12 - p. Let u = r - -115. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 7 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 25 - 10 = 0. Let n = c + 0. Let r be n\/6*-46 - 3. Solve -w + p - 7 = 0, -p + r = -2*w + 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 12113185 + 12113185.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 24*u**2 - 8*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172 and 0.0518378.\nAnswer: 8.9161016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n = -29*n - 155 - 70 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 + 7.96449.\nAnswer: -107.03551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20011140 less than -20011171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.1359 less than 519185?\nAnswer: 518808.8641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 20. Let j be i(-9). What is j rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 37 (b) -0.3 (c) 7 (d) 4\/3 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_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: Convert 89025.09 kilograms to tonnes.\nAnswer: 89.02509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/21 and ((-5)\/(-6))\/(((-10650)\/87)\/25)?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 54 + 845 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 5*h**3 - 2*h + 0 - 4 + 4*h**3. Suppose 0 = 6*a - 7 - 11. Let v be y(a). Solve -19 - v = 5*d + x, 2*x + 9 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21)*((-60)\/(-27) + -3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 8*m**2 - 3*m - 27. Determine d(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**4\/12 + 78*c**2 + 1. Let h(w) = 427*w**2. What is p(h(b))?\nAnswer: 854*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 1 - 119*s**3 + 114*s**3 wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020508 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-77)\/(-3) + 1\/3.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 94. Let t(h) = -15*h + 9. Let z be t(m). Let b be 3 + 6*3\/z*7. Is 27 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 2. Let w be v(-2). Let p = w - -6. Suppose -p*t + 5*t - 69 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -312033?\nAnswer: -311232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/7)*n**(-7\/4)*n assuming n is positive.\nAnswer: n**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (847820\/3)\/(146\/219)*1\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-72) - 10711\/(-8)?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/8)\/(-6*24\/576).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 61*l**2 - 28*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3884, 3878, 3868, 3854, 3836?\n\"Answer: -2*y**2 + 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2380 + -2376. Solve 2*h + m*f = f + 4, -3*f = -3*h - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 0, -5, 2.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 11:58 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-24)*(-56)\/49\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48585, 48599, 48615, 48633, 48653, 48675?\n\"Answer: y**2 + 11*y + 48573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79896 divided by -26632\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/10)\/(((-36)\/(-14))\/(720\/(-1260))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + d = 8964 + 11430, 3*v + 5*d - 12254 = 0. Let y = 6838 - v. Round y to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20532 = 4*t, 4*w + 1309 = -t + 6453. List the prime factors of t.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7371 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4)*4\/3. Solve -a + q = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, 2\/57, -3, 2\/21 in increasing order.\nAnswer: -3, -0.18, 2\/57, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120257, -120269, -120295, -120341, -120413, -120517, -120659?\n\"Answer: -x**3 - x**2 - 2*x - 120253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1736 and -89\/2483472.\nAnswer: 17384304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**3 + 64*k**2 + 318*k + 47. Calculate f(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14244 - 384659\/27. Calculate the common denominator of -29\/27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 2*u**3 + u + 0*u + 3*u**2 - u**2 to g*u + x*u**2 + o + i*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 75 = 3*m - 5*c, 3*m - 2*c - 48 = 0. Is (-4)\/m - 3962\/(-9) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224769.\nAnswer: 7, 13, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.5 - -19. Let t = 0.1 - -0.1. Which is the closest to 3? (a) 2 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164823583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*o**2*t**4 - 1725*o**2 + 18*o*t**4 + 2*o wrt t.\nAnswer: -184*o**2*t**3 + 72*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 22. Let c be v(7). Let a = c - -19. What is the remainder when 34 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g - 14. Let u be j(-10). Is (-7405)\/(-11) + (-12)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372) + 1*sqrt(1372) + sqrt(1372) - sqrt(28))\/(sqrt(400)*-1) + 4.\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - ((2 - 5) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 712197 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 5*c + 12. Let q(z) = -z**2 + z - 2. Let b(o) = -i(o) - 4*q(o). Give b(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w**3. Let m be 3\/((-6)\/2) - -4. Suppose -2 = 5*q + m. What is l(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/260817 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 16, i: 2}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from byjbbocojbo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*h = -3184 + 157 + 206 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, 10, 50, 126, 250, 434?\n\"Answer: 2*x**3 + 2*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -585609282 divided by 6?\nAnswer: -97601547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.063 - 260.\nAnswer: -260.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-2)\/(-4) + 300\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*((1 - 1 + 2)*(0 + 2 - 8*q + 6*q) + (36 - 7 + 15)*(-q - 3*q + q)) to the form w*q + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318401 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 + 271. Let v(y) = -y**2 + 6*y + 1. Give v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(48\/(-88)*(-11)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u + 0*u + 0*u)*(3 - 4 + 2) + 2*u**3 - 2*u**3 + 9*u**3.\nAnswer: 8*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (0 + 19 + (-11 - -17) + -2)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 79413, 4, -0.3, 0, -5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41141, 40603, 40063, 39521, 38977, 38431, 37883?\n\"Answer: -v**2 - 535*v + 41677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y - 76. Let i be a(7). Suppose -15 - 10 = 5*n. Let l = n - i. Is l a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41309.\nAnswer: 101, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (4*(0 + sqrt(1700)) + sqrt(1700) + sqrt(1700) + 3*(sqrt(1700) + 0))*4)*6)**2*2.\nAnswer: 259200*sqrt(17) + 158632200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 22.5?\nAnswer: -157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -555.\nAnswer: 24\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2\/7, 0, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 3*x = 340. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 63*i + 997. Determine x(28).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**4 + 1126*i**2 + 14*i + 485444 wrt i.\nAnswer: -20*i**3 + 2252*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-48)\/45 + 1). Let p = 102 + -105. What is the third biggest value in p, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2826160 and 690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131692772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 minus 5584?\nAnswer: -5682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 49*y**4 + 5*y**3 + 10*y + 433. Let g(h) = 24*h**4 + 3*h**3 + 6*h + 217. Let l(m) = -5*g(m) + 3*n(m). Differentiate l(o) with respect to o.\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 9554109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -10*g + 8. Let o be (2 - (-1 - 2)) + -2. Suppose y - 5*u = 22 + 3, 0 = 5*y - u - 29. Put g, y, o in ascending order.\nAnswer: o, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46400.377 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*d - 11920 = -183*d. Is 599 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 337, 341, 349, 361, 377, 397, 421?\n\"Answer: 2*b**2 - 2*b + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1.5547?\nAnswer: -1.5547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 29. Let g(j) be the second derivative of -1\/21*j**3 + 0*j**i - 1\/84*j**4 + 0 + 2*j + 1\/140*j**5. Determine o, given that g(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21158110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*k + 36, 0 = -10*x - k + 33 - 171. Sort 0, -1, x, -4 in ascending order.\nAnswer: x, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(((-20)\/4)\/125)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1155656?\nAnswer: -1155662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/455688 and -67\/5088.\nAnswer: 96605856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.06 - -0.16. Let w = 2.7 + i. Put w, 0, -1 in increasing order.\nAnswer: -1, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2575\/4 + 643. Which is greater: -158 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266 - 140. Suppose 2*n + 42 = t, -3*t + u = n - 4*n. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - k + 2*k - 2 + 2 + 0*k - 5*k + 3*k + (1 - 3 + 3)*(2 - k - 2) - 3*k + 2*k + 0*k + 8 - 8 + 9*k)*(-4*k**2 + 5 - 5).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {d: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/12 - -3 - (0 + 63\/9) and -26\/1799?\nAnswer: 7196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 60. Let j = -40.5 - o. Which is the second smallest value? (a) -3\/4 (b) j (c) -2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*k**5\/5 - 20*k**4 + 74*k**3\/5 - 12*k**2\/5 = 0. Calculate k.\nAnswer: -3, 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12490 - 109167 = -h, 5*a - 120843 = 2*h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 2. Let u(p) be the third derivative of p**6\/120 + p**5\/6 - p**4\/2 + 7*p**3\/6 + 6*p**2. What is the remainder when u(-11) is divided by d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310 by -5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.6259 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 191672470 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*o + 6 - 6.\nAnswer: 142*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l, -13*c - 5*l + 5 = -10*c. Suppose -c*q = q. Solve 3*k + q*k + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 - 11*l + 4. Calculate u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8427142 = 8427140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1306 = -9*m - 1. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12327503*j**2 + 1659019*j wrt j?\nAnswer: -24655006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5709, -5734, -5759?\n\"Answer: -25*t - 5684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/25)\/(o**1*o) assuming o is positive.\nAnswer: o**(-48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/13, -290?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1749 - -0.0227. What is t rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(5) - (sqrt(10)\/sqrt(2)*6)**2.\nAnswer: -180 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 + 21*y**2 + 9. Let i(b) = -3*b**3 - 15*b**2 - 1. Let v(o) = -2*o**3 - 10*o**2 - 1. Let c(h) = -3*i(h) + 5*v(h). What is -9*c(n) - 2*m(n)?\nAnswer: n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 181313.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, 301, 0.046 in increasing order.\nAnswer: -3, -1\/2, 0.046, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213233120 (base 4) to base 11.\nAnswer: 101329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*z = 2117573, -19*x + 20*x - 5*z - 705832 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(-3 + 9). Let z be (t + 0)*1*-1. Find the second derivative of -2 + 2*w + 2 - 2*w**z - 5*w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u**2 + 17*u - 29. Let a be m(3). Let w = 33 - 19. Suppose 7*p + w = a. Solve 2*h + 8 = z, -z - p = h - 4*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:15 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 6769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340 - 304. What is the remainder when 1\/3 + 2328\/q is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2. Let i be n(1). Let m = -150 - -146. Let c(g) = 2*g**3 - 2*g + 4. Let t(r) = 4*r**3 - 4*r + 7. Calculate i*c(v) + m*t(v).\nAnswer: -2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15569 from 0.2.\nAnswer: 15569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.081 in -2, 2, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 122328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44173 (base 10) in base 11?\nAnswer: -30208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1015?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 4344220021?\nAnswer: -4344220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*a + 180*a + 189*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 236*o**2 - 20*o + 103. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22201001001012 (base 3) in base 5?\nAnswer: -2141020031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 3. Let b(n) = -14*n + 12. Let q(u) = b(u) - 4*d(u). Let m(x) = -3*x**2. What is m(q(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 668950?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -599*i - 503. What is the remainder when z(-2) is divided by 72?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 35*r**2 - 338*r + 14. Let m be v(10). Is 135 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - -3. Suppose m*b + 88 = 32*b. Suppose 5*v - 119 = -o, -v + b = -0*v + 2*o. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 110?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = -30. Suppose 5*j - b*j + 20 = 0. Suppose -r + 25727 = -3*l + 5712, 5*r - 100020 = j*l. Round r to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471 + -470.6. What is the fourth biggest value in -0.2, 1, -79, w?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.210114 - -3\nAnswer: 2.789886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2\/2*(1 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 7. Let z be v(-4). Suppose 2*q - 3*r - 11 = 12, -3*q - 3*r - z = 0. Solve n + q*n = -25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 594170*a**5 + 35*a**4 + 2*a**3 + 331668081*a**2 wrt a.\nAnswer: 35650200*a**2 + 840*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11100 divided by 4\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 25 = 0, 2*q + 2*x + 14 - 26 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78527 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/2*1)\/(-2). Suppose 28*y = 84 + 56. Sort y, u, 3.\nAnswer: u, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:33 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, p: 2, l: 2, t: 1}. What is prob of sequence otr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 d when three letters picked without replacement from bhbboddodobbb.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -21*j + 66. Let x(q) = -4*q - 3. What is -c(h) + 6*x(h)?\nAnswer: -3*h - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18642 divided by -18642\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*45\/150)\/(21\/6)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -158*l + 8061. Let a be r(51). Let n = 0 + 0.1. What is the nearest to n in -0.04, 2\/7, a, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319.6 - -169.9. Let f = 158 + n. Let z = 8 - f. What is the nearest to 2 in z, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*y**3 + y**4 - 5238*y + 3*y**2 - 5248*y - 1 + 10487*y in the form g*y**4 + n*y**2 + v*y**3 + q*y + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/48 - 17\/48. Which is the closest to o? (a) 0.2 (b) 3\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 7*n + 8. Let h be q(-2). Suppose h*l + 5*i = 9, -3*i - 20 = i. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162649124 and 12.\nAnswer: 487947372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2. Let c(b) = 4*b**3 + 15*b - 3. Let o(u) = u**3 - 1. Let n(w) = c(w) - 3*o(w). Let k(r) be the second derivative of n(r). Calculate i(k(q)).\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 8*j + 3. Let k be l(7). What is the remainder when 40 is divided by (-42)\/k*(1 - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 - 2*q - 2. Let r be (-4 - (-48)\/9)*-3. Let y be t(r). Solve -m - m - 5*c = 17, -2*c - y = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3423.23um to centimeters.\nAnswer: 0.342323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 425 = -67*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(15\/(-990)*6)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1697*g + 1045330. Give m(-616).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66893.\nAnswer: 151, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:28 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 11\/44 - (-1589)\/28?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15613\/16 - -976. What is the third smallest value in 0.2, -2\/13, 1, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - 6*10\/(-15). Suppose -x - 19 = 5*w + 6, 0 = -x + 3*w + t. What is the tens digit of x + 100\/(3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4215, -2, -8, 15 in descending order.\nAnswer: 15, -2, -8, -4215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -218174016.\nAnswer: -218173952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + (3 + 2 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10395707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2603 or 3\/8?\nAnswer: 2603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*r + 2*r. Let o be -2 + 3\/(-3) + r. Suppose 2*g - o = g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76902619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*t = 53, 0 = -8*r + 3*r + 4*t + 90. Let w be (-1)\/(-1) - r\/18. Let y = 703 + -704. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*f + 10, f - 16 = x + 2*f. Let u be (42\/8)\/(14\/(-11 - -67)). Let v = u + x. Solve 0 = 2*n + v*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-2)\/3. Calculate the remainder when 1*2 + (-252)\/(-4) is divided by (r + (2 - 0))*17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 78*c - 103. Give d(39).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 5\/24*l**4 - 1\/30*l**7 + 0*l - 30*l**2 + 1\/2*l**3 + 0*l**6 - 1 + 0*l**5. What is the second derivative of d(o) wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.022 and 5836449 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 444\/(-962)*(40\/(-32) - 165\/36*-1)?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 988\/39*(-234)\/(-4). Suppose -7*d + 4328 = -k. Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -239*n**2 - 1 - 338*n**2 + 176*n**2 in the form q*n + t + w*n**2 and give w.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**2 - 18*d + 1\/70*d**5 + 0 - 1\/42*d**4 + 0*d**3. Factor c(k).\nAnswer: 2*k**2*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96676184?\nAnswer: 2, 11, 1098593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:10 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7*p + 2*p - 60 - 4*p**2 - 4*p to i*p + a*p**2 + v and give v.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12103 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + v = 10*m - 29, -5*m + 2*v = -154. Let r(t) = 11*t + 4. Let d be r(4). What are the prime factors of (m*1)\/(d\/20 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60968 (base 12) in base 14?\nAnswer: 33bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Suppose 3*t + 2*f - 20 = 0, 2*t + 55 = u*t - 3*f. Solve -2*w + 2*y - 4*y = 2, t = 4*w - 3*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27355560?\nAnswer: 2, 3, 5, 311, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*(773 - 903).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-108)*-9*9*(-12)\/(-756)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + (-120)\/(-32). Suppose 384 = -3*o + 8*o - 2*k, 0 = 4*o - s*k - 300. Let j = 114 - o. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 5. Let g be b(-6). Let z = -4 - -8. What are the prime factors of g\/z + 57\/4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1993\/2 = -0.206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 20. Let n = v + 138. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009410107 to five dps.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 31*t**2 - 103*t + 1654. What are the prime factors of y(36)?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r - 177 + 109 = 176 + 266 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(175) - (sqrt(17) - (1 + sqrt(68))).\nAnswer: 1 + 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7 - 10766*606\/(-311080).\nAnswer: -3\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*p - 22*p**2 + 24*p**2 + 17*p**2 + p**3 - 18*p**2 - 5704 wrt p.\nAnswer: 3*p**2 + 2*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1.4823, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/78)\/((-272)\/(-104))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 9*x**2 - 14*x**2 + 5*x**2. Is 36 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -296, -294, -290, -284, -276, -266, -254?\n\"Answer: t**2 - t - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5. What are the prime factors of y\/6 + 1532\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j + 17. Suppose 69*o = 44*o + 425. Let b(t) = 3*t + 6. Calculate o*b(c) - 6*s(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:23 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a + 4*k - 4 = 0, -k - 19 = 3*a. Let z(p) = -6*p**3 - 2*p**2 - 2*p - 19. Is z(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3232 + 5978 = 3*k. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -340ac + 5a?\nAnswer: -34052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/1)\/(5\/1425). Let f = a - -640. Let w = -2915\/6 - f. What is the common denominator of w and 151\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -123*b**5\/2 + 3237*b**4\/4 - 4599*b**3\/2 - 9555*b**2\/4 - 1029*b\/2 = 0.\nAnswer: -1\/2, -14\/41, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*j + 238*j + 315*j)*(6*j**2 + 15*j - 15*j).\nAnswer: 3108*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 0, 2*o + 46 = -2*o + o - 4*f - 42 + 58 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/16)\/(108\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389142.\nAnswer: 2, 3, 13, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -16*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/6 + ((-42)\/9)\/(-7). Find the common denominator of 37\/18 and c\/8 - ((-458)\/72)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1929 + -1935.88. What is i rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, -214, 5, -3 in increasing order.\nAnswer: -214, -3, -1, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374 divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -2. Suppose m - 22 = 4*r, 2*m - 1 = -5*r - 9. Let h(u) = u**2 - 5*u - 6. Let t be h(m). Solve t = -2*y - 0*y + 5*p + 4, p - l = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575622 is divided by 2626?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -143 = -5*b + 177. Suppose 4*g = -12*g + b. What is the second biggest value in 2\/13, 1\/36, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*i*k + 2*i*z - 30*i - 41*k*z + 3*z + 3 wrt k.\nAnswer: -11*i - 41*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99909 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*a + 4, -8*v = -4*v + 3*a - 25. Suppose b + 24 = v*b. Let l(c) = -c + 12. Let z be l(0). What is the greatest common factor of z and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - 4*r)*(12 + 10 + 22).\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28147*a**3 + 7*a**2 - 564.\nAnswer: 168882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2969077*l + 4855723*l - 6313173*l - 5651399*l.\nAnswer: -10077926*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((15\/(-5))\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-32 - -55) - (-4 + 1 + -59)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/2 - (-5 + 10). Suppose 49 = -4*h + 141. What is the derivative of -h*q**2 + 14 - 23 + l*q**2 wrt q?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**3 + 7*c**2 - 5*c - 4. Let z be n(4). Suppose -5*x + 15*j = 4*j - 50, 2*j = -2*j. What is the greatest common factor of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.741 to the nearest integer.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -41 - (130 + -149)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 2\/92975, 0.5?\nAnswer: 2\/92975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2 + -1 + 0). Let u be (2\/6)\/((-5)\/w). Let x = 0.1 - 0.5. Which is the biggest value? (a) u (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 - 5*r**2 + 27*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3910 and 1840?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 17*p - 83 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 5. Suppose -5*u = -4*b + 3, -2*u - 18 = -3*b - b. Let h be g(b). Factor -m**2 - 4 + 2*m - m**2 + m - h*m.\nAnswer: -2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1659209260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(3\/5))**(2\/59)\/(h**(-32)\/(((h**26\/h)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(16534\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -134.4 bigger than -9.5159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2993, 0.028, 5, -0.14 in decreasing order.\nAnswer: 5, 0.028, -0.14, -2993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173793 is divided by 1176?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/z)\/z*z**(-5))\/((z\/(z**(2\/13)*z))\/z**8) assuming z is positive.\nAnswer: z**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8774 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/737802 and -38\/33?\nAnswer: 8115822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522732276?\nAnswer: 2, 13, 19, 31, 83, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*z + 479*z = -5*k - 0*k - 31, k = -9*z - 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhshssssshss. Give prob of sequence ssh.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**3 - 8*c**2 - 10*c + 5. Let z(n) = 6*n**3 - 6*n**2 - 9*n + 4. Give -4*a(h) + 5*z(h).\nAnswer: 2*h**3 + 2*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:06 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -47*b - 83*b + 82. Solve g + b - 12 = 4*m, 3 = 5*g - m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84051.2751 + 84047. Let y = -0.0949 + z. Let v = 4.6 + y. Are -1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1795\/(-30) + 31 - -30?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b7 - 1c?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 70b349?\nAnswer: -70b349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Suppose 4*a + 5 = -3*i, -a - z = 3*a + 4*i. Let n be (4\/110)\/((-26)\/(-65)). What is the smallest value in n, a, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 88 = -49, -3*h + 3 = x - 2*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107464*q*t**3 - q*t**2 - 712*q - 4 wrt t.\nAnswer: -322392*q*t**2 - 2*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*t = -17, 0 = -5*h - 2*t - 0*t - 139. Sort -1, h, 0 in decreasing order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7274 is divided by 3493.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48464 and 3961.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-6)*(-1 - -25) is divided by ((-22)\/6)\/(3*(-8)\/72)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 4:52 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*n - 110*n = 2775. Factor -7*w**2 + 82 + 73 - n*w - 44 - 2*w**2 + 75.\nAnswer: -3*(w + 62)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1235122303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.07, 5, -4, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1) + 0 + 139. Suppose -3*d + l = -0*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023344 take away -0.6?\nAnswer: 0.623344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {q: 3, s: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -33. Suppose s = -n + 37. What is the highest common factor of s and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -59. Let g be (-2 - w) + 1 + 0 + 5. Let b(q) = 14*q - 22. Is b(g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**35\/u*u**(16\/3) assuming u is positive.\nAnswer: u**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 + 4*s + 4. Let a be n(5). Let b = -82 + a. Calculate the least common multiple of -7*(-5)\/140 - 22\/b and 167.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -179, -407, -727, -1139, -1643, -2239?\nAnswer: -2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/8 + -2*(-161)\/252. Which is the third smallest value? (a) -1\/5 (b) t (c) 4 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 285 and -0.4.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29022 - (11 + 10\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-220)\/(-6)))\/(2\/(-4))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 5 - 3*1. Let j(z) = -z**3 - z + 2. Let o be j(h). Suppose -2*t + c + 12 = -0*t, 3*t + o*c - 11 = 0. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65750.8382 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378339372 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (2 - 1) - (-19 + -22 + 24 + -8).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*r**3 - 27*a*r**2 - 31*a*r - 1064747*r**3 + r**2 - 91*r wrt r.\nAnswer: -18*a - 6388482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4669*u + 2038*u = -358714 - 36999 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b6 (base 12) in base 14?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502184.5 rounded to the nearest 100?\nAnswer: -1502200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433.3 - 433. Let c = 0 + -3. What is the third biggest value in 3, -4, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306 + 6247?\nAnswer: 6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:18 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/11 + 4\/440*-2. Let z be 1*(-2 - -1)*(11 - 5). Let s be (((-4)\/(-6))\/(-2))\/(z\/(-12)). What is the fourth biggest value in 1\/4, s, -0.4, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q + 6*q = -5*q + 120. Let y be -1*(0 - 1)*1. Solve 4*z + y = -q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/5 - 8*k**4\/5 + 9*k**3\/5 + 58*k**2\/5 - 164*k\/5 + 24.\nAnswer: (k - 5)*(k - 2)**3*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -275 (base 9) to base 15\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2680? (a) -15\/2 (b) 2 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01396, 2, 6\/17 in decreasing order.\nAnswer: 2, 6\/17, 0.01396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3006 = -11*x. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-276)\/230)\/(4\/((-80)\/28)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 0 + sqrt(2299) - sqrt(1900)*3)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*a*i*v**3 - a*i*v**2 + 8*a*i*v + 2*a*v + 57*i - v**3 - 2*v wrt v.\nAnswer: -366*a*i*v - 2*a*i - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8065, 16122, 24177, 32230, 40281?\n\"Answer: -w**2 + 8060*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*c = -132*c + 3*h + 6, -h - 2 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24756641 divided by 146489?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/28 and -73\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 827.229 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/((-3680)\/30))\/((-6)\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.94 + -6. Let n = -6.94 + z. Let g = n + 7.5. Which is the closest to 1? (a) 2 (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f + 46. Let i be n(19). Let w = i + -136. Solve -w*r = 3 - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-33182.3\nAnswer: -33182.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - 1\/(-3). Let c(b) = -b**3 + 3*b**2 - 1. Let p be c(2). Let d(r) = p + g*r - 2*r - 6. Determine d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -14*g + 16*g - 18, 3*g + 3*x - 21 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -48*i + 11. Is 14 a factor of u(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 40*f + 245. Let w be b(-6). Solve -w*n + 2*z = -3*z + 20, -28 = -3*n - 5*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/873 and -5\/5570904.\nAnswer: 16712712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 992718 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dmmmdddmmddd?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 - -0.24. What is the nearest to f in 6, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15688613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 66.35. Let h = o - -9.95. Let g = 9.7 - h. Do -0.2 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/56)\/(3\/(-1)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 3*v**2 + 3. Let s be n(-3). Suppose -c + 242 + 49 = -2*a, 0 = -s*c + a + 873. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-7) + (-1 - -3 - 1). Determine j, given that -18 + 61*j**2 - 10*j - j - j - 63*j**s = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1145320 - -2?\nAnswer: -1145314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w + 10. Let k = 0.377 - 1.377. Which is the second smallest value? (a) 1\/9 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55291\/3 - 18429. Sort c, -0.34, 24, 0.3 in ascending order.\nAnswer: -0.34, 0.3, c, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 47. What is the tens digit of (-2)\/((f\/32)\/((-154)\/(-28)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 796064, 796066, 796068, 796070, 796072, 796074?\nAnswer: 796076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 2*t - 4*t)*(3*t - 3*t + 2*t) - 27 - 29 + 55 - 20*t**2 as j + p*t + q*t**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + l**2 + 0*l - 3*l**2 + 2*l**2 + 0*l**2 + (-3 + 3 - 2)*(l - l - l**2) - 2*l**2 - 2*l**2 + 5*l**2 + (5*l - 4*l - 2*l)*(-2*l + 3*l - 4*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5952 + 5992. Let m = -8.06 - -8. Let d = m - -0.16. Are l and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1881, -1630, -949, 378, 2567, 5834, 10395?\nAnswer: 16466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/7 - 9477*f**2\/7 + 1121151*f\/7 + 834615 = 0. What is f?\nAnswer: -3273, -5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85857.940391 - 85858. What is u rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 16. Suppose 0*l - 5*u = l + d, -3*l = 4*u. Suppose 0 = -l*j + j + 222. Calculate the remainder when j is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0.3486, -0.1, 0.3, 5\/9?\nAnswer: 0.3486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.6712835 - -59.3287073. Let i = 104 - m. What is i rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 3*b + 3. Let o be u(-3). Suppose o = -2*c + 30. Suppose -31 = -3*r - 4. Calculate the least common multiple of r and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -171999, -343996, -515993, -687990?\n\"Answer: -171997*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-5 - (-3)\/(-3). Let n = w + 8. Suppose l - n = -l. Which is the nearest to 1? (a) l (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26908 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2654784 = 2*f - 4*a, -2*f - 1222806 = 5*a - 3877626. What is f rounded to the nearest 10000?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204589, 204531, 204477, 204433, 204405, 204399?\nAnswer: 204421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:32 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 308\/60 + 6\/(-45). Suppose 3*i = n*i. Solve i*a = 5*f - a, -4*a + 18 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -0.052, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*r + 24, -245*r + 35 = -250*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 10:56 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 + 22895 + 2*d**2 - 22895.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-120000)\/(-3))\/((-2)\/53). Round y to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-64)*-4*(-2 - 102). Let k = q - -156. Solve 4*g - 4*b - 12 = k, -3*g = 2*b + 17 - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udduotouood. Give prob of picking 2 u and 1 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.2954, 2\/9 in descending order.\nAnswer: 1\/2, 2\/9, -0.2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t + 0*t + 0*t)*(0*t + 5*t - 2*t).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 848900 to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.765221 + 6.\nAnswer: -104.765221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19) + 4 + (sqrt(684) - (sqrt(684) + 0)**2) - (sqrt(57) + (sqrt(399)*1)\/sqrt(7))\/sqrt(3).\nAnswer: -680 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 687 and 13597791?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 - 105*j**4 - 85*j**3 + 1965*j**2 - 3880*j + 2100 = 0. Calculate j.\nAnswer: -5, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 7585.\nAnswer: 7585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022267 to seven dps.\nAnswer: -0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 85\/(-21) + 3 + (-4)\/14. Let n be (-1 - 2\/(-7)) + 1. What is the closest to n in 5, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 12*a**2 + 3*a - 14. Let x(w) = w**2 + 1. Let f(j) = -5*x(j) - z(j). Is f(4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwnruun. Give prob of sequence nu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*q**3 - 21*q**2 - 9498*q - 56539957 wrt q.\nAnswer: 90*q**2 - 42*q - 9498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5824.3 + -5544. Let d = -354 + k. Let t = -70 - d. What is t rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. What is the nearest to s in -4, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Let w be 2*(1 - 0\/1). Suppose -w*y = -0*y - 6. Solve -i*r + 7 = 2*d, d + 10 = y*r - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y. Let n(j) = 6*j. Let a = -19 + 11. Give a*n(l) - 5*p(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z - 3 + 3. Let a(s) = 31591*s**2 + 31695*s**2 - 63162*s**2. Give t(a(b)).\nAnswer: -372*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2. Let k(g) = -1143*g**2 - 19*g + 114. Let c(i) = 381*i**2 + 6*i - 36. Let f(v) = 19*c(v) + 6*k(v). Determine f(l(w)).\nAnswer: 18669*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let o(i) = -3*i + 54. Let m(q) = 3*q - 53. Let y(t) = -4*m(t) - 3*o(t). Let l be y(16). Let j(f) = 3 + 7*f**l - 5*f**2 - 3. Determine d(j(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 - 4 + 0 - v**3 + 7*v + 1 - v**2. Let y(a) = a - 1. Let s(o) = -j(o) + 6*y(o). Is s(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5077 is divided by 1238?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 13. Suppose 3*i - y + 0 = 0. Solve 2*n = n - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a**2 + 26*a - 3. Let h(o) = -72*o**2 - 78*o + 8. Let x(n) = 3*h(n) + 8*z(n). Find the second derivative of x(f) wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 81\/(-12))*4. Let l = w + -9. Suppose -2*p - l = -j + 25, j + p - 30 = 0. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjdjjjdddomd. What is prob of sequence jom?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a59d (base 15) in base 8?\nAnswer: 104317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*37\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 32 = 14. Let n be (4\/6)\/(12\/d). Let i(p) = p + 1. Let j(c) = -6*c**2 - 4*c - 3. Let q(f) = n*j(f) - 3*i(f). What is q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4313*y + y**4 + 0*y**3 + 3 + 4311*y + 0*y**3 - 7*y**2 to the form i*y + n*y**4 + t + r*y**3 + g*y**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.301595 - -73.3. Round i to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2769, -2598, -2323, -1926, -1389, -694?\n\"Answer: 3*o**3 + 34*o**2 + 48*o - 2854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21101330 + -21?\nAnswer: 21101303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1961004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 21 = -2*d, -2*b + 2 - 7 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 4, w: 3}. What is prob of sequence qd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:22 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*d**(-1\/3)*d*(d\/(d\/(d**0*d)))**(-11\/3))**(2\/13) assuming d is positive.\nAnswer: d**(-74\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*sqrt(19)*3 - -1*(sqrt(228)*-3)\/sqrt(12).\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163068823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/6 + (-7)\/(-12)*(6886\/(-154) - -45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p. Let o(q) = 2*q. Give -10*o(b) + 2*v(b).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 2925*u\/2 + 42525.\nAnswer: 3*(u + 30)*(u + 945)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 352*k**3*p + 135*k**3 - 2*k**2 wrt p.\nAnswer: 352*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4 + 65*y**3 - 1364*y**2 + 9412*y - 8112 = 0?\nAnswer: 1, 12, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:05 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 12*z**2 + 86*z + 936. Give s(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -6\/53, -1, -2\/43, -464?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620015899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36896, -73706, -110516, -147326, -184136?\n\"Answer: -36810*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + p - 3597 = 0, -4*k = k - p + 4495. Is 2*(-4)\/16*k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1584607754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -411 + 406.544. Let d = 0.495 - b. Let u = -0.049 - d. Put u, -1\/3, -0.5, -2 in ascending order.\nAnswer: u, -2, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.94 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236\/7 - -34. Sort -0.2, -5, i, -1 in decreasing order.\nAnswer: i, -0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720))**2.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152371985.\nAnswer: 5, 30474397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1147*z + 2*z**2 + 382*z + 376*z + 389*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 58.44056 milligrams?\nAnswer: 58440560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -139, -318, -569, -892, -1287?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g - 1. Let y(m) be the second derivative of -7\/2*m**2 + 3 + 5\/12*m**4 - 7\/6*m**3 + 4*m. Calculate 14*i(b) - 2*y(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a - 16. Let s be o(11). Suppose -4*b + s = -b. Solve -3*t + 7 = b*d, -17 = -2*d - t - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:39 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 344*h**2 + 167. Let k(d) = -86*d**2 - 40. Let s(b) = 25*k(b) + 6*x(b). Let r(f) = 10*f + 10*f + 2*f - 21*f. Give s(r(g)).\nAnswer: -86*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 413*x - 141*x - 1360. Solve -5*r + x*f = 0, 3*r - 3*f - 8 = 8*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b813125 - 1?\nAnswer: -1b813126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.3, -29, -6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -201 - 915. Calculate the smallest common multiple of 243 and g.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*t = -3*t + 12, -21 = -4*n + t. Let q = -91 - -254. Suppose -3*y - q = -n*b, 47 = 7*b - 6*b + 3*y. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 15 = -5*x - 0, 3*x + 3*b = 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 87.7.\nAnswer: -6.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 28 - 8. Let m = v - -10. Suppose w = -3*d + m*w + 14, -d - 3*w - 4 = 0. Do d and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:33 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjzj when four letters picked without replacement from zjjjzjjfjj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.104 - -5.004. Let l = i + 0.1. What is the biggest value in 4, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.39829933 and 5.\nAnswer: -1.99149665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*x + 123*x + 421*x.\nAnswer: 607*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10275072 and 22?\nAnswer: 113025792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*b + 54, -3*f + 7*b - 3*b = 162. Let n = f + 26. Let c = -24 - n. Sort -2, -3, c in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from {g: 1, l: 2, q: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*w - 11, 7*w = 2*f + 11*w + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrw when four letters picked without replacement from wwwrwrw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116700 = 73*s - 98212. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + -6927)*(2 + 9\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.93656kg in micrograms?\nAnswer: 36936560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5240 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62285 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/26 + -3\/13. Let p = -1 + 0. Let l = -4144\/3 + 1382. What is the nearest to 1 in y, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-3) - (-2)\/(-6). Let r = 207 - 312. Let g = r + 103. Put l, g, 0 in descending order.\nAnswer: l, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/3 + 18092*u\/3 + 54330 = 0. What is u?\nAnswer: -9, 9055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 15*o + 35. Let i(u) = 7*u + 17. Let j(w) = -6*b(w) + 13*i(w). Let y be 66\/(-16) - 23\/(-184) - 3. Let a be j(y). Solve -a*t + 8 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966675823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 - 18996052*k**3 + 3*k**2 + 11*k**2 + 4*k**2 + 18996058*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19584, 39167, 58752, 78339?\nAnswer: 97928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4136 and 4048?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*v = 21, -4*v = -5 - 15. Let o be -3 + q + 2 + 1. Solve 0*g = -g - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 7*r**2 - 6*r - 108. Calculate the smallest common multiple of v(-11) and 12.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1177.\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7596\/1688)\/((3\/18)\/((-4)\/4)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 501200 and 1378300.\nAnswer: 5513200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 162\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**5 - 330*u**4 + 3350*u**3 - 5520*u**2 - 22435*u - 13230 = 0.\nAnswer: -1, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 50 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11029 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2328\nAnswer: 2327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282422 or -1\/5?\nAnswer: -282422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*g - 4156 - 5240 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.57 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 99. Suppose -4*z - b + 24 = 0, -w*z - 3*b + 37 = -0*b. Solve 0 = -z*q + q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((5 - 3) + -6)\/((-2)\/(-13)). Let x = s - -27. Put -4, 9, x in increasing order.\nAnswer: -4, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15794594396077 + 0.1.\nAnswer: -15794594396076.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 d, and 1 o when four letters picked without replacement from {u: 1, o: 7, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/18107495 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*p + 396 = -s, 0 = -4*p - 8. Calculate the common denominator of (-52)\/s + 3\/15 and -1\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**3\/7 - 18702*b**2\/7 + 263469*b\/7 + 6579144\/7 = 0?\nAnswer: -6248, -13, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2098*n + 10. Let b(m) = -4195*m + 19. Let z(p) = 3*b(p) - 5*j(p). Let x be z(-2). Suppose 3*o - 3*q - x = 0, 0 = -3*q - 0*q - 6. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 5. Let c(y) = 3*y - 15. Let n(s) = 4*c(s) - 11*q(s). Let a be n(8). Suppose 3 = 3*m - 2*u, -1 = 4*u - 13. Solve 2*d + a = -m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32149 and 37752?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22996801 to the power of 1\/2, to the nearest integer?\nAnswer: 4795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 - t**5 - 4*t**5 + (7*t**4 - 4*t**4 - 4*t**4)*(-1 + 1 + 2*t) - 3 + 3 + t**5 + t**5 - 21*t**3 - 3*t**5 + 5*t**4 - 7*t**4.\nAnswer: -4*t**5 - 2*t**4 - 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 839034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 9) to base 14.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 820290 (base 11) in base 6?\nAnswer: 44125555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -199a88?\nAnswer: 199a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 285450.48ns in days?\nAnswer: 0.000000003303825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19765, 19687, 19609?\nAnswer: 19531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - u = 22, -5*i + 0*i + u = 41. Let l be i\/27*(-246)\/2. Let a = 108 + l. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + (4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8)*(-9)\/((-324)\/264). Solve -x*b - 75 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-27)\/(-1458)*120.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/11))**(-45)*(l\/(l\/l**25))\/(l*l**(-40)))**(-34) assuming l is positive.\nAnswer: l**(-20876\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011001011 - 101000?\nAnswer: 101011010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757 - 1727 + 2*n - 984.\nAnswer: 2*n - 1954","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 271849 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -672465.\nAnswer: 2\/672465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + s. Let l be y(-2). Let a be 4\/l - (316\/(-5))\/2. Suppose -4*b - 16 = -a. What is the third smallest value in -14, b, 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/((-4)\/(-6)). Let g = n + -1. Suppose -u + 50 = 3*u - 2*v, 4*v = -u + 17. Solve -u = -3*j - g*x - 32, j + 3*x + 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = -3*w - 14, -2*l + 5*w - 17 = 0. Let r(i) = -i**2 - 5*i + 6. Let v be r(l). Suppose v*f = -6*f. Sort f, 4\/9, 0.08, -0.3.\nAnswer: -0.3, f, 0.08, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-32))\/(5\/((-90)\/(-81))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 2:21 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from yiiyyyyryvyvygyvyggi?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/6*v**3 + 0 - 9*v + 7\/2*v**2. What is p(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*d - 2*m + 11, -d + 5*m - 3 = 0. Suppose n = 5*n + d, -21 = -l + n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30418 or 30419?\nAnswer: 30419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 6*f)*(0 - 4 + 3).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7858 - 363 - 4*2\/4.\nAnswer: 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:27 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1075\/15 + 0)\/((-1)\/(-3)). Calculate the greatest common divisor of 43 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12459977 and 216308?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 72*y**2. Let z(a) = 8*a**2. Determine k(z(t)).\nAnswer: 4608*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3630, 7259, 10888, 14517?\n\"Answer: 3629*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 22*x**2 + 13*x - 5. Let b(k) = -11*k**2 - 6*k + 2. Let i(a) = 5*b(a) + 2*f(a). What is the second derivative of i(r) wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**6\/6 - 77*y**4\/2 + 83*y**3\/3 + y**2 - 539. Find the third derivative of p(t) wrt t.\nAnswer: -60*t**2 - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*c - 21, -l - c = 3 + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 290791252 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35471721, 35471716, 35471709, 35471700, 35471689?\n\"Answer: -l**2 - 2*l + 35471724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319612717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1488*q**3 - 8157*q**2 - 4*q - 1132537?\nAnswer: 8928*q - 16314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -271.4211, 5, -5, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -52278442.\nAnswer: 29\/52278442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*k + 90601 - 291133. Let j(c) = -7010*c**3 + c**2 - c - 1. Let w be j(-1). Let l = w - k. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352\/151 - 259324\/110985. Let s be 0\/1 - (-792)\/(-1470). Let t = s - h. Calculate the common denominator of -55\/24 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141 times -0.09?\nAnswer: 0.01269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t + 15 = 0. Suppose 2*d = -2*m - m + 8, -4*d = t*m - 16. Suppose m = -4*g + 2*g + 28. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4547.94 and -3977.\nAnswer: -8524.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/10 + (-1)\/(-2). Let o be (-3)\/m - (2 - -6). List the prime factors of (o\/10)\/(2\/(-84)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 2*r = 300. Calculate the remainder when 81 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttooqrrorotootot. Give prob of picking 3 r.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103374 (base 9) to base 11.\nAnswer: -42271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1229, 2482, 3713, 4922, 6109, 7274, 8417?\nAnswer: 9538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(14\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2077\/4 + 2079\/4. Let n = 13.1 - 13. What is the closest to i in -4\/7, 0.2, 0, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 298*x**2 + 563 - 797 - 715 - 296*x**2 + 6*x.\nAnswer: 2*x**2 + 4*x - 949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4 - 6. Let n = m + 3.6. Let f = -11 - -9. Which is the nearest to -1\/2? (a) n (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 65*w**2 + 189*w - 11. What is the tens digit of f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -8. Let c(v) = -3*v - 45 + 11 + r - v**2 + 17. Give c(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13208 + -13206. Solve -2*c + v = -3, 5*c - a*v = -30 + 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-3003)*147)\/(12\/13)*18\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) 18 (b) 4 (c) -2\/13 (d) -16 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35275 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-1 + 8 + 5*s - 4)*(-28 + 2*s - 35 + 65 - 2*s**3) + 3*s**4 + 4*s - 4*s to r + o*s**4 + x*s**3 + b*s + i*s**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 3:46 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x)\/((x**2\/x*x)\/x*x)*(x*(x*x*x**1*x)\/x)**22)**(3\/28) assuming x is positive.\nAnswer: x**(1047\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9954 - -3?\nAnswer: -9951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 - 8*y**2 + 5*y**3 + 14*y**2 - 6*y**2.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 602229 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(11) + (-1*sqrt(11)*2)**2) + ((sqrt(308) + -2*sqrt(308))\/sqrt(7))\/((sqrt(96)\/sqrt(2))\/sqrt(12)).\nAnswer: 14*sqrt(11) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = 45. Let g = n + 13. Calculate the remainder when -1 + 12*2\/3 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*b - 3*b - 3007914. What is b rounded to the nearest 100?\nAnswer: -38600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -39, 5, 119, 327, 653?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, 107, 563, 1187, 1907, 2651?\nAnswer: 3347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -10, 5*q - 4*i = -0*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*o = 2*o + 83, o + 53 = -2*w. Let n = w + 30. Solve -4*v = -4*y, 3*v + 3 + n = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101770348 divided by -2.\nAnswer: 50885174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 131*h - 44 = -134*h, -5*h - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486070.\nAnswer: 2, 5, 173, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:21 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**6\/j))\/j*j**(-3))**(2\/23) assuming j is positive.\nAnswer: j**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 48 (b) 0.6 (c) 11.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f. Let d be a(1). Suppose -4*p + 16 = d, g - 4 = -3*p + 2. Is (-82)\/g - (-2)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/20*(-4 - 257871). What is y rounded to the nearest one thousand?\nAnswer: -206000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -2\/23, -0.2, -0.5, 9.4, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1183, -1165, -1125, -1051, -931, -753, -505, -175?\n\"Answer: 2*u**3 - u**2 + 7*u - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*((-84)\/(-135) + (-4)\/18). Suppose 2*m + 94 = u, -i*m - u = 9 + 185. Let a = m + 82. What is the remainder when 135 is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:45 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12660258 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/22 (b) 1 (c) 3 (d) 2\/46591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 3) to base 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/3 - 413*w**4\/4 - w**3\/3 + 1142*w**2 + 2*w - 1370. What is the second derivative of o(u) wrt u?\nAnswer: 40*u**3 - 2478*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 999 - 392. Let f = t - -1373. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 21*l + 15. Suppose -15 = -l*t - 63. Let h = 100 + t. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + sqrt(20))**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m + 4*m**2)*(2 - 2*m - 2)*(0 + 1 + 4) - m**3 + m**3 - m**3 + (3 - 3 - m)*(m**2 - 4*m**2 + m**2).\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.380189 + -4.\nAnswer: -3.619811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h\/(h*h\/(h*h*h**(2\/5)\/h*h*h)))\/h))\/(h\/(h*h\/(h\/(h**4*h)))))\/(h**3\/(h**(-2)*h)) assuming h is positive.\nAnswer: h**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(187\/(-22)) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -59, -122, -207, -320, -467, -654?\n\"Answer: -u**3 - 2*u**2 - 34*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h. Let i(o) = 19*o. Let t(z) = -9*z. Let b(x) = -6*i(x) - 13*t(x). Give b(a(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 15\/9)*-3. Suppose f*l - 3*i + 2 = l, -4*l - 4*i = 8. Calculate the remainder when -1 - (l + (-42 - -1)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.05 (b) 1\/3 (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, -2\/23, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:59 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -2\/17, 2, -118 in decreasing order.\nAnswer: 2, 0.4, -2\/17, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 1000?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116904 = 1855*u + 11169 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k - 2*z, -4*k = -z - 0*z - 13. Suppose k*j = 2*j - 2*c - 2, -4*j = 5*c. Let i be ((-4)\/(-10))\/(j\/(-100)). Solve -i*v = -4*v - 2*m, v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1*14\/4. Sort 9, -2, -3, h in decreasing order.\nAnswer: 9, h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/418347 and -64\/621.\nAnswer: 1255041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 935 + -926. Sort -0.5, s, 0.3, 4 in ascending order.\nAnswer: -0.5, 0.3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.1 + 2.1. Let i = s - -5. What is the second smallest value in -2, i, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 13*m**2 + 7*m - 11. Determine q(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3089518*k**3 - 7086365*k?\nAnswer: -18537108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0249 - 1.9751. What is the nearest to 2\/7 in -0.06, 3\/2, 4\/9, h?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/25731836 and -109\/26.\nAnswer: 25731836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 - 77. What is the common denominator of 16\/9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - w**3 + 3*w**2 - w**4 - 2*w**4 + 5*w**4 + 3*w as t*w + a*w**4 + m*w**3 + n*w**2 + g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*b = -50*b + 33*b + 2280 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a = 0. Suppose 2*x - x = a. Suppose -r - 1 + 5 = x. Solve -10 - 10 = -r*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 15 = 3*w. Solve -5*r + 30 = 5*l, 2*r - 3*r = -w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 256\/36 + (-248)\/(-279). Solve w*v - 17*v = -45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - 6*d**4 - 20524*d**3 - 5*d**2 + 1940792*d - 1.\nAnswer: 60*d**2 - 144*d - 123144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*j*s**3 + 17*g*s**3 + 2*g + 13*j*s + 35*s**2 wrt s.\nAnswer: -6*g*j + 102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 130\/(-20)) + (-4)\/36*-3. What is the second smallest value in f, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*((sqrt(22)\/(sqrt(99) - sqrt(11)))**2 + (sqrt(50)*-1)**2)*3.\nAnswer: 4545\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2)**2 - -5*sqrt(272) - ((sqrt(68)\/sqrt(2)*-6)\/(-2*sqrt(162)))**2.\nAnswer: 20*sqrt(17) + 2431\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.208 + -0.108. Which is the third biggest value? (a) 2\/7 (b) f (c) 31 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -32*r**2 - 5. Let x(b) = 2*b**2 + 1. Give u(l) + 6*x(l).\nAnswer: -20*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 10*g**2 + 26*g - 4. Let x be t(4). Solve 26 = -x*d + 46 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21029, -21028, -21025, -21020?\nAnswer: -21013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 6.6.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7\/2)*c\/(c**(2\/19)\/c*c) assuming c is positive.\nAnswer: c**(-99\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -859 - -270015?\nAnswer: 26a267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**2. Let k(g) = -32870257*g. Determine v(k(z)).\nAnswer: 15126353133444686*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365308163?\nAnswer: 11, 2713, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13a10 + 12?\nAnswer: 13a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 21691674.\nAnswer: 21691674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107967?\nAnswer: 3, 17, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.927 * 0.3.\nAnswer: -3.5781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**36\/(u\/u**42))\/(u*u**9*u)**(-19\/2) assuming u is positive.\nAnswer: u**(363\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558 and 406596.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -61*d + 10. Let u be z(-1). Differentiate -14 - 15 - u*o + 3 - 20 with respect to o.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 9\/(-2))*(0 + 8). Suppose -3*b - 3 = 0, -w*i + b - 3*b = -26. Let l be 1\/((-3)\/9) + (i - 0). Solve 0 = l*m - 20 + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 + 9 - 5)*(0*q + 6*q - 2*q) + q + 2*q + 4*q)*(6 + 3*q**2 - 6) + 2 - 2 + q**3 to the form k + v*q**3 + l*q + h*q**2 and give v.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -37.01, 3\/2, 0 in decreasing order.\nAnswer: 3\/2, 0, -37.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b15 - d?\nAnswer: 4b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y - 3 = 3*g, 2*y + 5*g = -5. What is the units digit of (10 - 0) + -2 - y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 - 3*a**2 + 3*a + 3. Let m(h) = -28*h**3 + 13*h**2 - 13*h - 13. What is 6*m(x) + 26*s(x)?\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - s**2 + 2 - 13*s - 3*s**2 + 13*s + 32 - 14*s**2 - 32 + (-4 + s + 4)*(s - 3*s + s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2600)\/(-60)*(-6)\/(-20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyrnnqydyy. Give prob of picking 1 n, 1 d, and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**7\/1155 + 7*y**6\/330 + 31*y**5\/330 + 4*y**4\/33 + 99*y**2\/2 + 28. Let g(r) be the second derivative of h(r). Factor g(w).\nAnswer: -2*w*(w - 16)*(w + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Suppose g*x - 6 = -3*h + 6, 15 = 5*x - 4*h. Suppose 686 = x*u - 217. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b49a1 + -2?\nAnswer: -2b49a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -14*c. Suppose c = -k + 4*o + 28, -14 = 5*o + 11. Suppose k = -2*a - 6. Put a, 0, -5 in descending order.\nAnswer: 0, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2. Let i(u) = -4*u**3 + 8*u**2 - 3*u. Let t(l) = i(l) - 5*m(l). What is the units digit of t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263592471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 9:27 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 507 and (585\/(-4))\/((-243)\/324).\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2290, -2291, -2292, -2293?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1081 and 115\/6.\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 998*j - 4317*j + 122803 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -67, 5, -1, 3 in descending order.\nAnswer: 5, 3, -1, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - (-15 + 12)) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 8, v: 2}. Give prob of picking 1 r and 1 y.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*b + 90 = 18, b = -3*v - 58. Let p = 9 + v. Let z(w) = w**2 + 11*w + 9. Let q be z(p). Is 6 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 0 (c) 4 (d) 38 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 566, 608, 666, 740?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 less than 0.674?\nAnswer: 78.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24058 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 48259 and 3991 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.15 + 0.15. What is the nearest to 1\/4 in 4, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15939, -30848, -45757, -60666, -75575?\n\"Answer: -14909*j - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p + 11. Let x(y) be the first derivative of -y**2\/2 + y + 2. Let q(z) = -3*n(z) + 24*x(z). Does 6 divide q(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 3. Let h(p) = -8*p - 2540. Give -h(t) - 2*j(t).\nAnswer: -2*t + 2546","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1210.3597 to the nearest 10.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*p = 31131, 5*v + 9*p - 51901 = 6*p. Is 58 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (4 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*u - 6131 - 43405 = 13806 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -392709 and 200?\nAnswer: -78541800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 - 146283*s + s**2 + 146283*s - 75 to the form x*s**2 + p*s + f and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*j - 20 = -62, j + 20 = d. Let o be 2 - (-1 + (0 - -42)). What is the smallest common multiple of (-1)\/(o\/(-42) + -1) and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*3)\/sqrt(11) - (sqrt(20) + (sqrt(720) - (2*sqrt(720) - sqrt(720)))))\/((6*(sqrt(100) + sqrt(100)*2))\/(sqrt(80)\/sqrt(2))).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/22)\/(28\/24)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 1)*6 - 2*sqrt(300)*2)*-1)**2 + (-3 + 2 + 1*sqrt(300)*-5)**2.\nAnswer: 340*sqrt(3) + 8737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -12*i + 11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 200 - 30. Let h = i + 4. What is the highest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1143 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.45944688 rounded to 2 decimal places?\nAnswer: -87.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -152807162.\nAnswer: -152807166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 3*p - 2. Suppose -7*t = -2*t - 20. Suppose 0 = -g - g + t. Let z(q) = -q**2 - 4*q - 1. Let y(j) = g*s(j) - 3*z(j). Calculate y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-4)*96\/(-18). Suppose 0 = r + g*r - 520. Suppose -l = -x - 32, 3*l + 0*x - r = x. Calculate the greatest common factor of 324 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x - 6*x - 364 = 130*x. What is the biggest value in 5, x, 1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b - 4. Suppose b*u = 7*u. Solve -5*s - 2*j - 20 = 0, -s - 3*j - 17 = -u*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m - m**2 + m - 7*m + 3*m**3 + 1 - 10*m. What is j(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txbz when four letters picked without replacement from {b: 1, n: 1, t: 1, d: 3, z: 1, x: 5}.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*r = 0, g - 50 = -4*g - 5*r. Solve 5*l + 3*d = -23, 4*l + g*d = -l - 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.2 (c) 12538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2557 and 25570.\nAnswer: 25570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 2 - 2)*(-q - 2*q + 0*q)*(-76*q - 5 + 5)*(3 + q - 3) in the form g*q**2 + i*q**3 + r + d*q and give i.\nAnswer: -2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 - 8*r - 7. Let y be l(-7). Suppose -4*x - 3*g + 248 = -133, y = 2*x - 5*g - 171. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(246*i - 114*i + 434*i) + (-2 + 2 + 2)*(2*i - 4*i + 0*i)*(2 + 1 - 1).\nAnswer: -574*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 - l**3 + l**3 + 4*l**3 + 7*l**3 + 6.\nAnswer: 2*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose -5*s - 1 - 5 = 4*k, 4*k - 14 = 5*s. Put b, -3, k in decreasing order.\nAnswer: b, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 - 86 - u**2 + 18*u**3 - 20*u**3 + 2*u**2 - 59*u + 2*u**2 + 83 as f + t*u**3 + x*u**2 + j*u + v*u**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/21 and -59\/254051.\nAnswer: 762153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 22 = -31 - 30 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*a = 190*a + z + 13, -5*a - z = -23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from azayljzaaazawaaaaza?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g**3 + 9*g**2 - g + 5. Let o(k) = 6*k**3 + 4*k**2 - k + 3. Determine -3*b(p) + 5*o(p).\nAnswer: -3*p**3 - 7*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24508500 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -103. Solve -k - j = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-1512) + 4\/(-28))*(-11 + 173)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*l - 5 + 19, -c + 6 = -2*l. Let i = 0 - -1. Let n = c - i. What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*i + 318 - 64 = -212. Sort -7, 1, 3, i, -84.\nAnswer: -84, -7, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Let u(c) = -2*c - 3*c**3 + 2*c**3 + 6*c. Let j(z) = 2*z**3 - 9*z. Suppose 300*x + 126 = 314*x. What is o*j(i) + x*u(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -148 + 74 + -4 + 1.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10088, 26700, 49828, 79466, 115608, 158248, 207380, 262998?\nAnswer: 325096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*z**4 - 676603*z**3 + 97744410*z**2.\nAnswer: -552*z - 4059618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + ((-2)\/2)\/(-1). Let f(c) = 3*c + 0*c**2 - 7*c + 0*c**x - c**2 - 3. Let w(q) = -q - 1. Let l(v) = 2*v + 2. Let u be l(-4). What is u*w(d) + 2*f(d)?\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/4 (b) -10\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:53 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20300147 minus -3?\nAnswer: -20300144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 135 = -5*g, -102 = 4*m - 0*g - g. Do m and -25 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*b = -f + 72, 5*f - 4*b - 84 = 0. Suppose -3*a + 127 = -f. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 4*x - 19*x - 3722*x**3 + 2*x.\nAnswer: -3722*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - (-378)\/56 - (-13)\/20. Let v = -1229\/5 + 245. What is the closest to 3 in 2\/9, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*z + 83812 = 89312 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -585 and -1.1.\nAnswer: 643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307378 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2399.71 - -2400. What is the third biggest value in -4, x, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/12)\/(-7 - ((-64)\/12 + -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.60685 milliseconds to days.\nAnswer: 0.000003467671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -156*g + 161*g + o - 23, -9*g + 4*o - 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2*4 + sqrt(66) + (sqrt(66) - 1*sqrt(66)*6))\/(-2*sqrt(30)\/(sqrt(5) - sqrt(125)))*5 + -1)**2.\nAnswer: -80*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11970\/(-3420))\/(1\/(-2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 + 0*u**2 + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6422 is divided by 1292?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:21 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1720528 rounded to one decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/7 - 51810*r\/7 + 223689675\/7 = 0. What is r?\nAnswer: 8635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 5. Let x be (-9)\/2*2\/(-3). Suppose -f = 2*k + x*f - 8, 3*f = -3*k + 9. Let p(u) = -u + 2. What is k*z(d) - 5*p(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5172*i**4 + 711.\nAnswer: -20688*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -322\/17.\nAnswer: -322\/17, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/6 + 1\/(-3). Suppose -2*v + 15 = 1. Suppose 3*b - h*b - 1 = 3*n, 3*b - v = -4*n. Let p(f) = -3*f + 1. Let u(c) = c - 1. Calculate n*u(r) - p(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= -41\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31140 and 3666735.\nAnswer: 14666940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.87455 minutes in nanoseconds?\nAnswer: 3592473000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/360 - f**5\/60 - 5*f**4\/24 + f**3\/6 + 2*f**2. Let d(t) be the first derivative of u(t). List the prime factors of d(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p - 37*p = 52 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21372*c**2 - 117. Let a(b) = 737*b**2 + 4. Calculate -117*a(v) - 4*s(v).\nAnswer: -741*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/48 + 7*w. Factor z(a).\nAnswer: a**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 2\/13, -5, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 39*w - n = 20, -n = 4*w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.10147 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.896049 meters?\nAnswer: 289.6049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 - 0.06. Let b = -1.8 + f. What is b rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 2264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.12 - -33.88. Put j, -0.4, -4\/3 in decreasing order.\nAnswer: j, -0.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1756 or -114.8?\nAnswer: -114.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*p + 25 = 0, 5*g = g - p - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2*c + 1. Let b be k(5). Let v = 83 + -80. Let i(a) = -2*a**2 - 5*a - 3. Let f(q) = -10*q**2 - 24*q - 14. Calculate b*i(j) + v*f(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -419*h**4 - 4*h - 2183?\nAnswer: -1676*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3487a5 (base 11) to base 4\nAnswer: -2013011233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 345*f + 8827 - 892 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 3756002?\nAnswer: -3756002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (135\/(-12) + 11)\/((-2)\/(-2)). Let l = -0.3 + 0.1. Suppose 0 = x + y - 3, 0*x = 5*x - 3*y - 31. Which is the nearest to d? (a) -0.4 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4 - 33*b**3 + 78*b**2 - 48*b = 0. What is b?\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**2\/2 + 13*s - 59. Suppose 5*t = -4*l + 4, 2*t = 4*l + 1 - 5. What is h(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 6796 in increasing order.\nAnswer: -5, -3, 6796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22564383 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 19*g**2 + 48*g + 5. Suppose 28*v + 270 = -178. Let d be k(v). Which is the third biggest value? (a) -0.9 (b) -0.06 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*b - 8, -5*b = 4*w - 14 - 6. Solve 4 = -w*h + 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5568 is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -665, -1328, -1991, -2654, -3317?\n\"Answer: -663*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444514022*p - 2*p**2 + 444514033*p - 889028055*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310 - 309. What is the closest to 0.1 in -3, h, -0.09, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (3 + 0 - 41). Let z be (j\/6)\/((-2)\/4). Suppose -3*i + z = 61. Round i to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 2206310?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 98*u - 4. Let y be i(2). Suppose q = 5*q - y. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.322276 millilitres in litres?\nAnswer: 0.000322276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -15973 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (62\/(-21) + 3)*-2. Put -5, u, -13 in ascending order.\nAnswer: -13, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 + n. Let z be s(3). Let j be (-8)\/(-12)*z\/4. Let i = 29 + -28. Which is the biggest value? (a) j (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 118349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 32 - 7*q**2 - 7*q + 2*q**2 + 5*q. Let i be s(-13). What is i rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 142*a - 141*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106*h**2 - 2062*h**2 + 13*h**2 - 647*h**2 - 1276*h**2.\nAnswer: -5078*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 52 = 4*f, 0 = 15*f - 7*f + 6*p + 72 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -146*l - 14. Let i be s(-4). Suppose -2*m - i = -3*m + 3*u, -u = -3. Let n = -366 + m. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 17. Determine y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -10. Which is the second biggest value? (a) -4 (b) 1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -3\/7, 6, 4\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y + 1. Let p(w) = -255*w**2 + 503*w**2 - 253*w**2. Give n(p(x)).\nAnswer: 45*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -13. Which is the nearest to r? (a) -2 (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvcvoovocc. Give prob of sequence ovov.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g\/g**(-1\/29)))\/g**4*(g**(-2\/5)\/g)\/g*g*(g\/(g**(-15)*g*g*g))\/g assuming g is positive.\nAnswer: g**(662\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 13*p + 53. Let y(d) = -3*d**2 - 12*d + 54. Let b(f) = 6*h(f) - 5*y(f). Determine w, given that b(w) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b - 2*q + 7, 5*b - 25 = -5*q. Let i be (1 + -4)\/(b\/(-10)). Suppose 41 = g + i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 4. Let g(w) = w. Determine -5*g(p) + q(p).\nAnswer: -7*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.52 - 27.72. Put 3, i, -5, 163 in increasing order.\nAnswer: -5, i, 3, 163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(275)\/sqrt(5))\/(sqrt(320)*-3 + sqrt(5)).\nAnswer: -5*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.7*-86\nAnswer: -232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/7193, 2\/9, 1, 5\/6, 0.5?\nAnswer: -6\/7193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/60 and 95\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*(-3 + sqrt(448) - sqrt(448)) - sqrt(448) - sqrt(448) - sqrt(448)) + sqrt(448))**2.\nAnswer: 96*sqrt(7) + 1799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 782, 783, 784, 785, 786, 787?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16472 - -23729. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 + 2 = 0. Suppose -d - j = b + 1, 2*b + 10 = d. Let a be 3\/b - (-95)\/20. Solve -a*l = 2 + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/58)\/(6034\/437465).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 158*t**3 + 6*t + 4101 wrt t?\nAnswer: 474*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3*(sqrt(832) + 1))**2 + 0)*-6.\nAnswer: -44982 - 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 10*l**2 + 3*l - 1. Let o be i(-9). Let j = 184 + o. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 t, and 1 x when four letters picked without replacement from {x: 12, t: 1, q: 6}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5841281, 5841280, 5841279, 5841278?\nAnswer: 5841277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192305118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.99999837 + -37. What is b rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - 6 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744013 is divided by 148759.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 12, -0.09, 4, 6\/5, 1, 7\/45 in decreasing order.\nAnswer: 12, 4, 6\/5, 1, 7\/45, -0.09, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5875875.\nAnswer: 3, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*j - 9*j + 29*j + 6*j.\nAnswer: -49*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/44*-28*(-5)\/(-80)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3426*517.\nAnswer: -177.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 6 - (-5 + 6 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(8) + sqrt(32)\/sqrt(4) - sqrt(8)) + sqrt(8) + sqrt(8) - sqrt(8))\/sqrt(4) - sqrt(22)\/sqrt(11)*-1).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 - -3*58\/(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:59 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:02 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 22*t - 36. Let j be u(25). Solve 5*c = -j + 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 36137176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -21392 and -21393 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5 + 5. Let r be 1\/(-2)*(g + 6). Solve 2*k - k = r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + f - 426. What is h(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -7. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2570 and 7615681.\nAnswer: 76156810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*q - 83 - 49*q + 23*q)*(-1 + 1 + 2).\nAnswer: 2*q - 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/(p*p**(1\/17)))\/p)\/p**(-13)*p**(6\/17)*p*p**(-1\/2) assuming p is positive.\nAnswer: p**(503\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 8\/199, 2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-4))\/(2\/4). Let v = j + 47. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*-1*2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q = 24 + 231. Suppose 0 = -35*k + 40*k + q, m + k = 2. Factor 0 - 1\/4*w**4 - 3\/4*w**m + w**2 + 0*w.\nAnswer: -w**2*(w - 1)*(w + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 4*r**7\/105 + 23*r**4\/24 + 16*r**2. Find the second derivative of t(y) wrt y.\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.4. Let z = 11.11 + -11. Let x = z - 0.01. Which is the second smallest value? (a) n (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 - o + 2. Let s(u) = -3*u**2 + 7*u - 3. Determine 3*j(q) + s(q).\nAnswer: 3*q**3 + 4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p + 108 - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 615853559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 2, y: 3, f: 2, v: 7, q: 1}. Give prob of sequence vf.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*l. Suppose 2*f + l*i - 52 = 0, 0 = i - 0 - 5. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 499.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Suppose 0*y - 40 = -4*y. Suppose 4 = f, -f - 4*f = 2*q + y. Let b be (4\/(-3))\/(10\/q). Calculate n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 6, z: 13}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247 + -489\/2. Let w(b) be the second derivative of -5*b + 0 + 0*b**3 + n*b**2 + 3\/20*b**5 + 0*b**4. What is the first derivative of w(x) wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 338 = 460. What is the least common multiple of 175 and l?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302132 (base 4) in base 2?\nAnswer: -10110010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-5 - 949\/13). Solve -20 = 63*i - k*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:08 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*t + 160*t + 110*t = 3770 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2, 30, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 218. Let p be 12\/24 - 10\/(-4). Which is the third biggest value? (a) 1\/6 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410 - 1113128*z**2 - 1410.\nAnswer: -1113128*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(2\/195)*m**(-2\/15)*m**(-2\/19)\/m assuming m is positive.\nAnswer: m**(-7623\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16927 = 855*l - 24312 - 32800 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 19*m**2 + 77*m + 33. What is the smallest common multiple of 9 and o(-13)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 3, 2\/15, 5, -3 in decreasing order.\nAnswer: 5, 3, 2\/15, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 64 = -3*d, 5*d = -4*k + 3*d + 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131243433 + -322?\nAnswer: 1131243111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12023 divided by 8129.\nAnswer: 1093\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, 5 in increasing order.\nAnswer: -13, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2286*k - 279119. Calculate r(-122).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 34. Let y = 5 + -23.8. Let r = y + m. Which is the third biggest value? (a) -2 (b) 3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 318, 1083, 2138, 3303, 4398?\n\"Answer: -30*l**3 + 325*l**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o. Let t(r) be the first derivative of -29*r**3\/3 - 296. Calculate t(c(h)).\nAnswer: -5684*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*i = 663 - 633, -5*p - 7*i = -61 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 34 = 8. Suppose -2*b = 4 + j. Let l = b - -17. Solve -5*k + h = -3*h + 8, h = -l*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 + 120*f**2 + 7200*f + 80000 = 0?\nAnswer: -20, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 103 (b) -1 (c) 0.4 (d) -5\/6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 52001?\nAnswer: 52003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 173. Let v be w(26). Suppose -v*x - 47 + 6932 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 6.\nAnswer: -19, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)*-6)\/((1*sqrt(100)\/sqrt(10) - sqrt(10)) + sqrt(10)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-17)\/(918\/(-396)))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 4*u**2 + 22858*u - 15921*u - 6937*u.\nAnswer: 3*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from jkjsjjojk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 1226 = -d. Let p = 2269 + d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from pvpmvggygggggmmgg?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 6*w + 17. What is the smallest common multiple of w and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoeaeaoeaeee. What is prob of picking 1 a and 3 e?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/5? (a) 2\/7 (b) 691 (c) 6 (d) -2.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2075704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -247*b - 2278. What is h(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -7594 (c) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149109315?\nAnswer: 3, 5, 61, 107, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 x(a) = -4102351*a. Let q(m) = 57*m. Calculate x(q(b)).\nAnswer: -233834007*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-12)\/(-480)*-28)\/((-186)\/310)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -29*m**3 - 7*m**2 - 11*m - 5. What is r(-2)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1d285c (base 14) to base 5\nAnswer: -231404440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Let o = 0.0251 - -0.0249. Sort -0.1, o, -6, b.\nAnswer: -6, -0.1, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28001559 and 24?\nAnswer: 224012472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-9) - ((-185)\/3 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1401 = -3*o + 225, 2*o - 1087 = -p. List the prime factors of o.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 45*i - 18*i + (1 - 2*i - 1)*(-3 + 6 - 2) - i + 3*i - 4*i to the form t + p*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)*c)**13)**(-21\/5)*(c**(2\/3)\/((c**(-1\/2)*c)\/c*c*c))\/(c\/c**(-1\/2)*c**(-1\/8)) assuming c is positive.\nAnswer: c**(-40637\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(45\/(-336)*-70)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5489 = -22931. Suppose 0 = -9*r + y + 2948. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1948606 to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281 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: Two letters picked without replacement from {q: 5, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 8*x + 14. Let o = -60 - -70. Suppose -2*g = 0, -3*b = -4*g - 8 - o. Calculate n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -301, 4, -31, -1, -2 in descending order.\nAnswer: 4, -1, -2, -10, -31, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**6)\/g**(-27) assuming g is positive.\nAnswer: g**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9361*p - 7580*p + 19026*p as d + y*p and give y.\nAnswer: 2085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 + 2695*z**4 - 364475*z**3 + 351025*z**2 + 1457980*z - 1447220 = 0 for z.\nAnswer: -2, 1, 2, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - d**3 + d**3 - 6*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 5. Let y be b(-2). Suppose 4*t + 50 = -3*a, -33 = -a + y*a + 3*t. Let h = -7 - a. Calculate the highest common factor of h and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 28*g**2 + 134*g - 15. Let m be h(-5). Suppose -3*u + 9 = 4*r, -2*r = -4*r + 2*u - 6. Solve r = -0*p - 5*p - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 1. Let r be ((1\/(-3))\/(-1))\/((-305)\/549). Let n be (-2)\/21 - (-108)\/(-567). Which is the nearest to l? (a) 2\/17 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3872998 is divided by 286.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16820 and 120.\nAnswer: 100920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 32 - 32 + s**2 - 2*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111111110 (base 2) to base 5.\nAnswer: -302401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -573 - -655 - (-2 - (2 - 0)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 45*c + 74*c - 585. Solve -92*z = -91*z, 2*x + c*z - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*u - 3*u - 271, 688 = 5*s - u. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143383 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-24))\/((-3)\/(-9)). Let f be i\/(105\/(-98) + 1). Solve -4*d - d + 5 = 4*t, -d = -5*t + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 113739510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*i**4 - i**2 + 13*i**3 + 1 - 57*i**4 + 132*i**4 - 2*i**3 to k + l*i + f*i**3 + w*i**2 + u*i**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 454109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + sqrt(189) + -1*(sqrt(189) - sqrt(189)*-2))\/sqrt(3))**2 - (sqrt(252)\/sqrt(16)*6)**2.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - c64e?\nAnswer: -c651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9795 + -9791. Let z = 49.4 + -49. Which is the second smallest value? (a) 1 (b) z (c) 14 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-316*w - 14685 - 14703 + 29403).\nAnswer: 316*w - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, 0, 5, 4, -5 in descending order.\nAnswer: 306, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262 - -383. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:49 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 1\/10 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152312105 (base 7) in base 5?\nAnswer: 10100441001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -2*l - 16*l. Let w(s) = -s**2 - 1. Let h(t) = 4*t**2 + 2*t + 6. Determine l*w(p) - h(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l*z**2 - 5483*l + 53*z**3 wrt z?\nAnswer: 6*l*z + 159*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1)\/sqrt(4) - (sqrt(1216)*-2 - sqrt(1216)).\nAnswer: 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2 - 1933668*y + 311589327852 = 0.\nAnswer: 322278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 103*d**2 + d - 2. Suppose -q - 5*p + 12 = -4*q, 0 = -4*p + 12. What are the prime factors of t(q)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 3*c = -16, -c + 2*c - 24 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-12))\/((-6)\/(-9)). Suppose -1133188 = -d*w - 3333188. 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: Let c(h) be the third derivative of h**7\/840 + h**4\/12 + 3*h**2. Let j(p) be the second derivative of c(p). Let m(s) = 2*s**2. Calculate j(m(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21913 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-3))\/(141\/(-846))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let d(m) = -15*m + 15. Give -d(r) - 15*l(r).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from qeesw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2529?\nAnswer: -2\/2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -3\/7, 0.03, 2.\nAnswer: -3\/7, 0.03, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2621 = 5*a, -7*a + 6*a = -4*q - 517. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 2, y: 9, r: 1, u: 1, g: 3}. Give prob of picking 4 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(2 + 1 - 11 + (1 + 3 - 5)*(-1 + 1 - 2) + 2 + 2 - 5)*(4 - 1 - 2)*(2*j + 0 + 0)*(j + 12 - 12).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 507 in descending order.\nAnswer: 507, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 20*d - 14. Let l(r) = 7*r - 5. Suppose -5*n + 2 = 17, 5*n = 5*b - 45. Suppose -x = b + 11. Determine x*l(o) + 6*z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 5015772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11202727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/4)*w**(-8))**(14\/3)\/((w**0*w**(2\/9))\/((w**(2\/11)*w*w*w)\/(w**0*w))) assuming w is positive.\nAnswer: w**(-6773\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 9*o + 1. Let l be (6\/2)\/((-9)\/(-12)). Suppose 0 = -l*n - 7 - 9. Is c(n) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = 2*l. Let p = 18 - 17.97. Let t = p + -0.03. What is the biggest value in l, t, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 351 = -8479. List the prime factors of w.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*n - 823*n = -v + 95, 0 = -2*v for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3 + 1 - 6)*((1 + 3 - 2)*(-1 + 3 + 0) - 3 - 1 - 4 + 3 - 7 - 4)*(-4*s**2 + 4*s**2 + s**2).\nAnswer: 24*s**3 + 96*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 3 + (-5 - (-5 + 5)). Let t = 83\/14 - 10\/7. Find m such that -m - t*m**2 + 0 - 7\/2*m**k = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -18 + (-3 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 = -3*z + 561, -5*v + 5*z = -925. Calculate the smallest common multiple of v and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723 (base 8) in base 7?\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -147829 times 0.93?\nAnswer: -137480.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-24 + (-445)\/(-25)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/(-20) - 21\/10*2. What is the fourth biggest value in 4\/7, 2\/9, -0.1, 22\/7, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2533480.\nAnswer: 2, 5, 63337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/278 and -52\/119637?\nAnswer: 33259086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 13}. What is prob of picking 2 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55208 is divided by 55165.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 10 - 3*v**2 - 3*v**2 - 15 + 3*v**3 in the form a + y*v**2 + d*v + m*v**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -358\/923?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-564)\/44 + (-64)\/231?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6080563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1 + 1)*4. Let p(j) = -j**2 + 9*j - 6. Let c be p(h). Let w be ((-30)\/21)\/c + 1. Is w at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436.964 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g**3 - 2*g**2 + 1. Let k(x) = x**2 + 3*x - 5. Let a be k(-4). Let c be q(a). Let w = c + 12. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6163.3 - -6163. What is the nearest to -1 in 12, x, 1, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419458923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -25. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - -89094?\nAnswer: 890d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*r - 157, -5*k - 197 = -2*r + 632. Let f = -113 - k. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76677696 is divided by 2669?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*f - 4 - 8, -3*y = 2*f - 17. Suppose -6*c = -c + 5*l, 0 = -c - y*l - 4. Let d be (-1 - -1)\/c - 0. Solve d = -r + 2*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159194076, 159194076, 159194074, 159194070, 159194064?\nAnswer: 159194056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 2*i. Suppose -4*q + 20 = u - i*u, 5*q - 25 = -3*u. Suppose 4*p - f - 444 = 0, f = q*f + 16. What is the greatest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - y**2 - 3*y**2 + 4*y**2 - 3*y**2 - 3*y**2 + (2 - 2 - 3*y)*(-2 + 2 + y))*(-3 - 5*y + 3) as g*y**2 + s*y + w*y**3 + t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.147653 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose p*z + 9 = 5*z. Let r(q) = -q**3 + 5*q**2 - 2*q + 1. Let c be r(z). What is the greatest common divisor of c and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-35)\/(-147)*108\/(-120)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from dqqtb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809*-11.2.\nAnswer: 9060.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 2. Suppose -3*q - 3 = -9. Which is the third smallest value? (a) q (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (1 + 0)*1. Let r = p + 11. Suppose -2*a = -r*a + 85. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91469984*x + 50612990 wrt x.\nAnswer: 91469984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 797505763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436801, 873557, 1310313, 1747069?\nAnswer: 2183825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = 0, -3*r - c + 0*c = -21. Let h(o) = -o**2 - 5*o + 8. What is the remainder when r is divided by h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6485 - 6485 - 3727*d**3 - 2*d to the form q*d + l*d**3 + w*d**2 + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - t - 6 = 0, 0 = -11*c + 13*c - 3*t - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 530155082 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-888)\/(-10))\/4 + (-3)\/15 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 12*d - 14. Let r be u(11). Let p be (-20)\/(-6)*(-30)\/r. Let f be 2\/(-24) - 1\/p. What is the closest to f in -1, -1\/8, 1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060882 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.724 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((360\/50)\/6)\/((-1)\/(-300)). Calculate the highest common factor of 500 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h - 3*h**2 + 34*h + 3*h**2 + 6 - h**2. Suppose -7 = -x - 1. Calculate the smallest common multiple of s(23) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 4.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501188 to the power of 1\/2, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*u**2 - 39*u**2 - 14*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 4. Let u be a(5). Calculate the remainder when 20\/2 + u + -1 is divided by -1*(-4)\/(-4)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1968 and 1715124?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(-1)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 924?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-0.005\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875111 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45850836503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/6 + 54*y. Let p(b) = -b - 1. Calculate p(i) - 5*x(i).\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/3 + 17\/((-2448)\/(-992))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.083 (b) 3 (c) -2\/37 (d) 0.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89665 or -89663?\nAnswer: -89663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 5*b)*((-5 + 3 + 3)*(-40*b**2 - 27*b**2 + 33*b**2) - 3*b**2 + 5*b**2 + 0*b**2).\nAnswer: -128*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3643, -7283, -10925, -14569, -18215, -21863?\nAnswer: -25513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139885*g**3*m**4 - 5*g**3*m**2 + 44*g**3*m + 1147*g - 2*m wrt m.\nAnswer: -1678620*g**3*m**2 - 10*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) -0.2 (c) 39 (d) 2\/693\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 3, 8, 5 in decreasing order.\nAnswer: 8, 6, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 1\/6*z**3 - 4*z**2 + 0 - 18*z - 1\/12*z**4. Give v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 31*p - 28. Determine l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**9\/d)*d)**(-8)\/(d**9)**(-48) assuming d is positive.\nAnswer: d**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137\/814 - 1\/74. Let f = -2.6 - 8.1. Let x = -11 - f. What is the nearest to 0 in x, t, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69809164 to the power of 1\/2, to the nearest integer?\nAnswer: 8355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 3) + (2*-3356)\/4. Let y = -807 - p. Suppose -y = -47*c + 42*c. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + l = 2*l + 2762, -l = -3. Let y = -551 + i. Which is smaller: y or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/2)*v\/v**29*v)\/(v*v\/(v\/v**(2\/119)*v)*v*v**41) assuming v is positive.\nAnswer: v**(-15831\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, -869?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549374 smaller than 1549368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 42002?\nAnswer: -42001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 850783890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (7 - 332\/28)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**3 - 5*h**3 + 5*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.53 and 21039 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/3 - 250310888*o\/3 - 15663885162837136\/3 = 0. Calculate o.\nAnswer: -125155444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w, -3*w = 2*z + 2*z - 37. Suppose 68 = -11*r + z*r. What is the smallest common multiple of 2 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 + -58.26.\nAnswer: -39.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/171000*10)\/((-9)\/(-10))?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3 and 25\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.8 and 14210.\nAnswer: 14202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.91 - -34.81. Is -831\/10 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 2*b**3 - b**3)*(-b + b + b) + 28*b**4 + 544695*b**3 - 52 - 272346*b**3 - 272350*b**3.\nAnswer: 26*b**4 - b**3 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42490 and 420?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -a7?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + w**2 + 5)*(0 - 4*w + 0) + 0*w**3 + 0*w**3 - 3*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*((-2024)\/33)\/(-23). What is the nearest to o in 2, 0.3, -2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - (-4 + 6)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1147*-218.1\nAnswer: -250160.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 4*k**2 - 13*k + 21. Let c(g) = 4*g**3 - 5*g**2 - 12*g + 19. Let x(m) = 3*c(m) - 2*r(m). What is the least common multiple of 3 and x(6)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337365179 to the power of 1\/3, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68931 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568 = -253*c + 319 - 4570 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 2 + 5 - 2173*w**2 + 34*w + 2168*w**2 in the form f*w**4 + h*w**2 + k*w**3 + d + x*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50, -457, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1617, 5, 192\/101?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5\/9 + 472*j**4\/9 + 926*j**3\/3 + 4148*j**2\/9 + 1840*j\/9 = 0.\nAnswer: -230, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 3*h - 6. Let f(u) = -u**3 + 10*u**2 + 11*u + 5. Let c be f(11). Suppose -44 + 9 = -c*l. Is r(l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 79.918.\nAnswer: -319.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 106, 1912, -3\/2, -4?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1713*p**3*s + 1268*p**3 wrt s?\nAnswer: -1713*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c**2 + 68*c**2 - 135*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/((-3)\/(-18)). Let d(x) = x**3 + 6*x**2 - 7*x + 2. Let n be d(-7). What is the third derivative of -n*y**4 - y**2 - y**2 + g*y**2 + 3*y**2 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 16*w**2 - 54*w - 19. Let l be k(19). Suppose -35*o = -l*o + 2061. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67603, -67437, -67273, -67111, -66951, -66793?\nAnswer: -66637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 + 205*b - 66)*(-b**2 - 2*b**2 + b**2) to i*b**3 + y + a*b + t*b**2 and give i.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3416 - 641413?\nAnswer: -645132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(500) + sqrt(500))*-3 + sqrt(60)\/((sqrt(96)*4)\/sqrt(8)))**2.\nAnswer: 717*sqrt(5)\/2 + 285749\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1129, 1156, 1203, 1270, 1357, 1464?\n\"Answer: 10*w**2 - 3*w + 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 615463 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2141 + 2?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(2*x - x + 2*x - 2*x**2).\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4920818 divided by 3794\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 154\/(-33)*3*-1. Which is bigger: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538104709 a multiple of 2918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*i. Suppose -a + 3*y + 7 = 5*y, -a + i = y. Calculate the least common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23023118669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2279 = 13*t - 3298. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 31. Let b(q) = q + 1. Let l be b(f). Suppose 5*j + 20 = -l*h + 3, 5*j + 16 = -4*h. Calculate the greatest common divisor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 11) to base 13.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -298*p - 1117. Give c(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/225*1)\/(224\/(-350)).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((20\/6)\/5). Let t be (-6)\/u - (-701)\/3. What is t rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*p**2 - 6 - 4*p.\nAnswer: -2*(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 - -159. Suppose 0 = -a*l + 2*w - 10, 3*l + l - 25 = -5*w. Solve l = -14*r + 17*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 29340 = -5*l, -210*l + 213*l - 18 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298\/17 >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 234 = 9*v. Let f be -1 + (4 - v\/(-15)). Factor -f*w**2 + 4\/5 + 2\/5*w.\nAnswer: -2*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/7)\/(2314522\/154301 + -15).\nAnswer: 2, 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -83, -252, -487?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + y = 22395, -5*r + 31*y + 28005 = 36*y. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28)\/sqrt(4) + 3)*-6 - -6*(sqrt(448) + -4))*2)**2.\nAnswer: -14112*sqrt(7) + 56448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94511374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 475*n**5 - 490*n**3 - 13410*n**2 - 11*n + 1.\nAnswer: 28500*n**2 - 2940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 184275111 or 184275103?\nAnswer: 184275111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:53 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 43 + 43)*(32 + 28 + 84) + (-1 - 4 + 2)*(2*i + 1 - 1).\nAnswer: 426*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44176, 172\/7, 1\/3.\nAnswer: -44176, 1\/3, 172\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16929\/(-54) + 19)\/((-2)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368365 by -73673.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i + 18. Let b be a(-9). Let z(y) = -y**2 - 2*y + 1. Let t be z(-2). Solve -j + t = -b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*z - 13, u + 101 = -6*z + 2*z + 101 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**13\/c**20*c*c**(2\/17)*c\/c**(2\/3) assuming c is positive.\nAnswer: c**(-283\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3796616.7 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -179071\/162 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 159\/2*p - 169\/6*p**3 - 182*p**2.\nAnswer: -(p + 6)*(13*p + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 30 = 14*s. Solve 0 = s*i - 9 - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11083649 to 3 decimal places.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -5*j**4\/12 - 449*j**2. Let q(a) = 3*a**2 + 3*a**2 - 3*a**2. What is l(q(b))?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -8319616.5791.\nAnswer: -8319616.6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -40, -95, 0, -2\/3 in ascending order.\nAnswer: -95, -40, -2\/3, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5123 by -3.\nAnswer: 5123\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/2 + 1708257*w**2 - 61498710*w + 553492764 = 0.\nAnswer: -1138874, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**4\/12 + 16*i**3\/3 + 346*i**2. What is s(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 169947623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -4\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -2*y**3\/15 - 6*y**2\/5 - 18*y\/5 + 51. Factor l(i).\nAnswer: -2*(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -56. Let z be (-382)\/(-14) + 6\/(-21). Let s = g + z. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - -4.4. Suppose -4*j + 2*n + 58 = 0, 4*j + 2*n - 231 = -161. Put -5, -4, f, j in increasing order.\nAnswer: -5, -4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33a5 - -5?\nAnswer: -33a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 355495466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/3)\/f*f))**(-4\/5))**44 assuming f is positive.\nAnswer: f**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 34*d**2 + 6*d - 13. List the prime factors of v(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -2\/19, 5\/82, -5?\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmddmmfmlbmdd. What is prob of picking 2 d and 1 m?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46 and -220.\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/14*8\/(-3). Let v be 15 + (0 - (0 - 1)). Solve -d*g + 0*g = -v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186\/7 - 11471\/462. What is the common denominator of (56\/(-9))\/(5*4\/(-60)) and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:02 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = u - 1, 28 = -4*h - 4*u. Let o(f) = -f**3 - 3*f**2 + 3*f + 7. Let l be o(h). Put l, 7, 5 in decreasing order.\nAnswer: 7, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 142, 160, 202, 280, 406, 592, 850, 1192?\n\"Answer: 2*j**3 + 4*j + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 3*j**2 + 2*j + 1. Let m = 3 + 0. Let c(o) = 4*o**3 + 5*o**2 - 3*o - 2. Calculate m*c(a) + 5*h(a).\nAnswer: 2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 19\/4, 1, 10, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -103*o**2. Let l(s) = -10*s + 72. Determine l(h(g)).\nAnswer: 1030*g**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -2053*z + 2048*z. What is the greatest common factor of 35 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002639 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.2822 or -11\/177?\nAnswer: -11\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 226562057 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4174342.\nAnswer: 2, 269, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*a, -4*n - 3*a - a = -24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-18)\/648*1350\/100.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -48*d**2 - 6199*d - 969. Calculate i(-129).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 32, 48, 62, 74?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*14919742.\nAnswer: 10443819.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2115 - -14809\/7. Sort 0.2, o, 596.\nAnswer: 0.2, o, 596","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7598 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*h**5 + 3915*h**4 - 12039*h**3 - 97854*h**2 - 123588*h - 13944 = 0. What is h?\nAnswer: -166, -2, -1\/8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117864.942673 - -0.057327. Let c = 117866.08858 - y. Let w = c - 1.09. Round w to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -548 in descending order.\nAnswer: 9, 2, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 + 2*d**2 + 4*d - 5. Let s be r(-2). Solve -4*k + y + s = 4*y, -2*y = -4*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 10*n**2 + 9*n - 8. What is the lowest common multiple of o(-6) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/27756)\/(1*(-31)\/(-558)).\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - x - 138000. Suppose 0 = -g - g. Let m be o(g). What is m rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (911 - 212 + 728)*(l**2 - 2*l**2 + 2*l**2) as y + q*l**2 + u*l and give q.\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/(16\/(-360)). Let o(d) = 3*d - d + t - 18. Let v(f) = 2*f. What is v(o(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51131.\nAnswer: 51131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*k + 781, 201*d - 199*d = -k - 262. Which is greater: -254 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:07 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f - 12. Let h = 27 - f. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.7. Let y be (-3)\/(3*1\/(-3)). What is the nearest to -2\/5 in y, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 8. Let n be q(-12). Suppose n*j + 4 = -8. Suppose 8*m - 4*m + 8 = 0. Are m and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1549, 3108, 4665, 6220, 7773?\nAnswer: 9324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-1)\/5)\/((-114)\/(-190)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 2:48 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**4 - 1361*a**3 - 2*a**2 + 10*a - 353?\nAnswer: 120*a - 8166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2207043.1+-25\nAnswer: 2207018.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - 629. Let p = -663 - c. Put p, 1\/6, -5 in decreasing order.\nAnswer: p, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + (sqrt(832) + 1)**2 + (sqrt(832)*-1 + 2)**2)*5.\nAnswer: -80*sqrt(13) + 8330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**5 - 384812*a**4 + 18506570658*a**3 + 333236419568*a**2 + 314729464096*a = 0.\nAnswer: -17, -1, 0, 96212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -82. Suppose 5*b - 3*o - r = -5*o, 4*o - 26 = -2*b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4928 + 4914.979. Let w = 31 - 18. Let u = w + k. Round u to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/2741 and -1\/419373.\nAnswer: 419373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -155. Let n = -99.99999953 - u. What is n rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 10) in base 9?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + 272*u**2 - 464*u - 8819. Determine v(-92).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - 17. Let f be i\/(-65) - (1 + (-14)\/10). Suppose 5*c + 51 = f. Is -7 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 7:36 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 16760*k + 114481*k + 46140*k + 0.\nAnswer: 177381*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4015 by 11.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20)\/i**(-5)*(i**(3\/2))**(-48) assuming i is positive.\nAnswer: i**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1274\/(-98)*(-6)\/((-30)\/(-5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 682639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 2*z**2 - 2006 + 2006.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 10. What is f(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -134332?\nAnswer: 5\/134332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 8 + 2*s - 4*s - 22.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 6. Suppose 0 = -2*s - 3*h - 66, -4*s - 112 = -4*h - 0. Let r be ((-2)\/5)\/((-3)\/s). Let b be c(r). Let u(y) = 3*y - 2. What is u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 + 24*b - 4*b - 11*b - 5*b. Suppose -3 = 3*a - 9. Is s(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 22 - 7. Suppose -308 = -w*l - l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.253874 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 4*(0 + sqrt(1584) + -1)*-1 + -4))**2.\nAnswer: 384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuyz. Give prob of picking 2 y and 1 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 18*s**2 + 5. Let u(j) = -7*j**2. What is u(k(c))?\nAnswer: -2268*c**4 - 1260*c**2 - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -3*c - 25, -2*c = 5*g - 11. Is 55 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8366 is divided by 117?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14760 divided by -2460.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(490))\/((-1*sqrt(72) - sqrt(72) - sqrt(72)) + (sqrt(20) + sqrt(320))\/sqrt(10)).\nAnswer: 21*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 315*i = -311*i, 0 = -2*m + i + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 25 + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 6. Let p(g) = -23*g**2. Give d(p(k)).\nAnswer: -529*k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l + 4331. Let s(q) = -3*q + 2165. What is -5*b(r) + 11*s(r)?\nAnswer: 2*r + 2160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 78 (c) -4\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) - (-18)\/12. Let w(r) = -107*r + 7596. Let f be w(71). Let a = 11 - 15. Sort a, f, i in ascending order.\nAnswer: a, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*h + 46 = 0, 6*i - 38 = 4*i + 3*h. Solve 5*c = i - 33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1968 by 328.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y**2 + 9*y**2 - 40*y**3 - 160*y + 8*y**4 + 64 - 4*y**4 + 19*y**2 = 0 for y.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 55, 19, 301 in ascending order.\nAnswer: -6, 19, 55, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -248*33\/(2904\/11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434313 (base 5) in base 8?\nAnswer: -73567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m - 5. Suppose 5*t - 40 = 25. Suppose -18*z = -t*z + 25. Give v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/14 and 35\/1812316.\nAnswer: 12686212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 102 - (-30 + -8).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4592)\/(-984)*30\/(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Suppose -64 = 27*n - 11*n. Let d be n - -2 - (200\/35)\/(-4). Which is the smallest value? (a) -2 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25929999 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrss when four letters picked without replacement from {s: 9, r: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 8 + -2 + (-29 - 13).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37120 is divided by 9033?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1446.94045 * 5.\nAnswer: 7234.70225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2811*p = y + 2810*p - 71, -4*p - 216 = -3*y. Let q(j) = -j**3 - 5*j**2 - 5*j - 6. What is the remainder when y is divided by q(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:21 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.18 - -0.18. Let n be (1*(0 - -2))\/13. What is the third biggest value in n, 1\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 10*p**2 - 8*p + 13. Let f be s(-9). Suppose 3*u = -u + f. Let c be (-201 + u)\/((-1)\/(-410)). What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/6 + 6*f**2 - 6*f - 12. Determine u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, and 1 j when three letters picked without replacement from dddddqjdddddddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-40))\/((-2)\/(-5)). Let v = 0.334 - -0.066. Which is the second smallest value? (a) l (b) 5 (c) -4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343 is divided by 739.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f**4 + 32*f**3 + 24*f**2 + 28*f - 4. Let o(w) = -w**4 - w**3 + w**2 + 1. Let t(s) = -k(s) - 12*o(s). Factor t(j).\nAnswer: -4*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.481 and 0.071?\nAnswer: 1.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by -2.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, m: 5, k: 3, z: 1, r: 1}. Give prob of sequence my.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4267 and 55018698.\nAnswer: 4267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.5466 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10)*55\/(-3))\/((-1955)\/(-1173))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*i + 232*i + 238*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.5 (c) 0.2 (d) 1\/6 (e) 1.59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (957\/(-66))\/(((-47)\/(-282))\/(1\/(-3)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(2\/51). Suppose -3*o - d = 16. Let z(t) = 4*t + 6. Let i(y) = -6*y - 11. Let w(m) = m. Let r(p) = -i(p) + w(p). What is o*z(v) + 6*r(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 1127?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/1 + (-4)\/2. Solve 0 = t*g + 2*w - 6, 5*g + 2*w - 2 = 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*l = -0*g - 20, 5*g = -3*l - 50. Let z(t) = 4*t + 56. Let s be z(g). Suppose -42463 = -s*v - 7167. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 8*p**2 - 10*p - 16. Give d(20).\nAnswer: 4584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -3 - (-1024)\/316. Let a = -2752\/711 - z. Calculate the common denominator of a and -59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 2*f + 273. Let m(l) = 2*l**2 - l. What is j(t) - 2*m(t)?\nAnswer: -t**2 + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -106489852483 - -171\nAnswer: -106489852312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 5*u + 3*x, -2*u - 845*x - 6 = -847*x for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -27*u**5 - 3906*u**4 + 21336*u**3 - 39408*u**2 + 28752*u - 7200 = 0?\nAnswer: -150, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 5*b - 228 = 0. Let 4*x**2 - b*x**3 + 66*x + 9*x**3 - 15 - 57 + 5*x**2 = 0. Calculate x.\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 115\/10 - (-6)\/(-4). Suppose 4*g = -2*v, -3*g = -2*v - k - 4. Calculate the lowest common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 37 = 4*p, -4*p + 7*p = -2*g - 45 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 123*m + 861. Let v be r(-7). Let h be -1 + (-29)\/(-15) - (-19)\/(-57). Factor 24\/5*f + v*f**3 - h*f**4 + 9\/5 + 18\/5*f**2.\nAnswer: -3*(f - 3)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 8 = -2*k + r, r = 2. Let y be 0\/(6\/(k + -2)). Let t(v) = -v**3 + 6. Calculate t(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -21*p**3 + p**2 - p - 2. Let q(o) = -o**3 - o**2 - o + 1. Let y(r) = q(r) + w(r). Calculate the remainder when y(-1) is divided by 70\/(-140)*2*-9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 5:27 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1862) - sqrt(38))*2)\/(sqrt(72)*-4).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4\/3 - 348*u**3 + 2228*u**2 + 73076*u\/3 - 54824 = 0?\nAnswer: -267, -7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87\/2 + 43. Is -5 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 14708 = -14596 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-26 + 25 + 56) - 27\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from nptnntbnn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.408066ng to tonnes.\nAnswer: 0.000000000000001408066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630505 + 173?\nAnswer: 1630678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -53.75966 > 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 12\/5*d - 6\/5*d**2.\nAnswer: -6*d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1965 + -1280. What are the prime factors of x?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221012013 - -133321?\nAnswer: -220212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1320)\/(-18))\/(3\/(-9)). Let u = 474 + r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006938 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970635 is divided by 719.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + 3*x**2 - 3*x**4 - x**4 + x**3 + 6*x**4 - 2 to a*x**3 + w*x**4 + h*x**2 + k*x + s and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159704421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.1 + 38. Let n = 2.6 + h. Let v = -2\/83 - -97\/581. What is the third smallest value in n, v, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -676998 at least -676413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -107, -133, -129, -83, 17, 183, 427?\n\"Answer: 2*k**3 - 3*k**2 - 49*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.3 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1054 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3402296 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1240*x**3 - 7*x - 5. Is a(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25605261*o**2 - 43*o**3 - 25605261*o**2.\nAnswer: -43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 122532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 5*h - 3. Let i be o(-5). Let t = -186.95 - -185. Let k = 6.95 + t. Which is the closest to -0.1? (a) k (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 4*y + 25. Let s be i(-5). Suppose -s = 3*r - 8*r. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 8*i**2 + 2*i - 12. Let y be h(8). Suppose g + 0 = -2*r - 1, 0 = 3*r + y*g + 4. Let o = 3 - 2. Is o bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/3 + 401281*h = 0 for h.\nAnswer: 0, 1203843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/171, -0.2, 128 in decreasing order.\nAnswer: 128, 22\/171, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**3 + 78*y**2 - 60*y - 24.\nAnswer: -3*(y - 2)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408 - 378. Let m(a) = 11*a - 12. Calculate the lowest common multiple of k and m(3).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 29 - (1 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -3*l. Let d be ((-3)\/6)\/(l\/(-6)). Let q(x) = x**2 - 3*x - 3. Give q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*15\/(-36)*-2*2. Suppose 0 = 2*t - 4*q + 10, t + t + q = -s. Is 3\/9 - (t + 6999\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4, 7\/4, 8?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1 - 18) + (-1)\/(-1). Suppose -5*j - 31 = 19. Let p be -4 + 1 + j + -4. Is p != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, e: 3}. Give prob of sequence ee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 25. Suppose -5*p = -3*k + 3 + 72, 117 = 4*k - p. Let r = k - y. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90295897507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 6*t + 4. Suppose -3287 = 26*h + 12*h - 3211. Calculate n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4137169331 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1994 (b) 2\/3 (c) -1\/3 (d) 2\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g + 68*g + 9849 = 315*g for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4 - 106*l**3 - 57*l**2 wrt l?\nAnswer: 24*l - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853016 is divided by 853009.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/120 - 29*i**5\/60 - 31*i**4\/12 - 8*i**2. Let d be p(31). Solve d = 8*r - 3*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -149 + 443 + 3*v**2 + 0*v + v - 25 - 147 in the form j + i*v + b*v**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k - 87. Give p(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 0*x - 56*x + x - 12*x.\nAnswer: -62*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 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: Suppose 0 = 7*o - 0*o - 133. Suppose 4*i - n - 368 = -i, -2*i = 2*n - 152. Calculate the remainder when i is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.7 + -53.6. Let y = -39 - -22. Let k = z - y. Round k to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 - 128.2. Suppose 7 + 11 = -6*c. Let m = 0.4 - 0.9. Sort r, c, m, 0.4 in descending order.\nAnswer: 0.4, r, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2387395 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*j**2 - 3*j + 54*j**2 + 646*j**2 to t*j**2 + m*j + z and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z**2 - 11*z + 13*z**2 - 19*z as v + c*z + m*z**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 85249885 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 310013*h**2 - 310013*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10920)\/(-4095)*6\/(-928)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1278260 by 5.\nAnswer: -255652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34425 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33506857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 0*x)*(3*x + 1 - 1)*(2 - 2 - 1)*(-4 - 3 + 5).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((102\/(-4))\/17)\/(2 + 57\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110010110100 (base 2) in base 11?\nAnswer: 36410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 - -4159\/14. Suppose 2 = 4*n + 18. What is the biggest value in n, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4. Let b(x) = 3. Let k(f) = 5*b(f) + 4*m(f). Let p be ((-8)\/24)\/(1\/(-15)). Let i(r) = -p + 0*r + 7 - r - 5. Determine i(s) - 5*k(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.3, 0.2, 209 in descending order.\nAnswer: 209, 0.3, 0.2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 4233.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38860496.\nAnswer: 2, 2428781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/49 - 162\/(-21). Solve -3*i = -b*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*v + 2, 6*a - a - 2*v + 5 = 0. Sort a, 2, 12, 1 in descending order.\nAnswer: 12, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22028473.14 rounded to the nearest one hundred thousand?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236346 (base 8) in base 10?\nAnswer: -605414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1689 + -824. Let c = b - 503. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k**3 - 2*k**2 + 2*k. Let n(g) = 3960*g**3 - 33*g - 2001*g**3 + 33*g**2 - 2088*g**3. Determine -4*n(w) - 66*r(w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 178 = 2*y - q, 0 = -5*q + 20. Let r = 114 + y. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s + 1 - 1 + 5 - 13*s**2 + 6*s**2 + s**3. Let v be x(5). Solve -c = 2*o - v, 2*c = -o - 2*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**3\/6 - 3*i**2\/2 + i - 43. What is n(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 0)*(-4*o**2 + 0*o**2 + o**2 + (0 - o + 0)*(22*o - 32*o + 33*o)) to w*o + k + f*o**2 and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 350 + 292 - 5*w - 567. Let g be b(14). Solve 2*l - 21 = -5*z, 0 = -g*z - 2 + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 + u + 1. Let w be r(-1). Let f(n) be the first derivative of w*n**2 - 3*n + n + 3 - 4*n**2 - 5*n. What is f(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.05? (a) 0 (b) 4 (c) 0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 15 - 5. Let s(m) = m**v + 6*m**2 - 5*m**2. Let z(u) be the first derivative of 11*u**3\/3 - 257. Determine z(s(g)).\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 294163 and 293678 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 45*d + 161. Give n(6).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3 - 8. Which is the closest to 0? (a) k (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/((-20)\/(-6)) - (-10 + (9 - 5)). Let z(t) be the first derivative of 0*t**y + 6*t**4 - 64*t**2 - 33 - 4\/5*t**5 + 0*t. Factor z(n).\nAnswer: -4*n*(n - 4)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/((-486)\/(-60) + -8). What is the highest common divisor of 496 and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7.4. Let x = 3 + -3.2. Which is the closest to -2\/3? (a) x (b) k (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*r\/r**1*r)\/r*r)\/r))**(-16)\/(r**(2\/7))**(-1\/31))\/((r*r**5)\/r**(2\/9))**(-3\/8) assuming r is positive.\nAnswer: r**(2833\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let h(x) be the first derivative of 11*x**5\/60 - 9*x**2\/2 - 16. Let v(d) be the second derivative of h(d). Calculate v(l(z)).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 950098 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.203*-4.\nAnswer: -0.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10467 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/22*2761\/(-1506)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 779296 by 111328.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 4*u = -q - 28, -96 = 3*q + 3*u. Let o = q + 135\/4. Which is the smallest value? (a) o (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582113 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 38*l**2 + 193*l - 21. Let k be q(32). Let t(a) = 4*a - 15. Give t(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000642 rounded to six dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 276979?\nAnswer: -11\/276979","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -128. Let k(n) = 3*n**2 + 2*n. Let a be k(-2). Let o = 16 - a. Calculate the least common multiple of o and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2027006 to 4 dps.\nAnswer: -0.2027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 0*b + b**2 + 1\/8*b**4 + 0 + 0*b**3. Let r(o) = 2*o**2. What is r(k(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-14))\/(8\/(-14)). Suppose 0 = -h - q, -5*h + 3*q - 21 = -h. Which is the nearest to 1? (a) h (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4343*i**3 - 2*i**2 + 5*i - 3. List the prime factors of a(1).\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i\/(i**(-5)*i))\/(i**1\/i))**(-26)\/((i\/i**(1\/3))**(-1)*(i\/(i\/(i\/i**1)))**(-3\/2)) assuming i is positive.\nAnswer: i**(-700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/120*9*2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -3*c + 12, 51*c = -z + 53*c - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 - -2. Let y = -3501 - -7001\/2. What is the third biggest value in c, 107, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 1. Let x(t) = 5*t**2 + 5*t - 1. Let i = -2558 - -2557. Calculate i*x(y) + 3*r(y).\nAnswer: -2*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/5))**(-41)\/(f**(-4\/3)\/f**(-1\/4)))**10 assuming f is positive.\nAnswer: f**(557\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3016735377.\nAnswer: 3, 163, 6169193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 1287\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -15. Let v = g + 8. Suppose 2*x + z = -2*z + 292, -v*z - 137 = -x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p - 2. Give c(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:57 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4\/4 + 10*h**3\/3 + 5*h**2 + 10*h + 1. Let t be n(-9). Solve t = -q - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -464*o. Let p(w) be the second derivative of w**4\/12 + 7*w + 19. Give x(p(i)).\nAnswer: -464*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3435 is divided by 153?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66680 and 280?\nAnswer: 466760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 + 4*g + 2. Let k(z) = z**2 + z. Let v(b) = 2*k(b) - t(b). Let y = 4 + -14. What is the tens digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/(-195) + (-44)\/5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:33 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 4826, -5, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 6 (c) -15.568 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -1, 3, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*k + 108, -4*x + 22 = -k - 110. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:48 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(63)\/(sqrt(9) - sqrt(9)*-1))**2 + -4.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 51 - 51. Let o(l) be the second derivative of 0*l**3 + 1\/6*l**4 + 0 + 30*l + 0*l**2. Calculate v(o(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwo when three letters picked without replacement from lcfow?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(1 - 104\/120). What is the closest to y in -77, 5, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**28\/a**19)**33)**(-14\/5) assuming a is positive.\nAnswer: a**(-4158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382105 + 0*k + 382105 - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -114, -2273 in descending order.\nAnswer: 3, -114, -2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -21*w**4\/2 + 16*w**3 - 32. Find the third derivative of f(g) wrt g.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 870, 873, 876, 879, 882?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 43846.\nAnswer: -4384.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362594 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5779034939 - 109553?\nAnswer: 5778925386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.57099 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**3 - 2 - 2*j**3 + 1)*(-5 - 5*j + 5) to the form f*j**2 + a*j + m + z*j**3 + r*j**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 11. Let s be g(9). Let b(q) = q - 5*q + 2 - s. Let m(h) = -h**2. Calculate b(m(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -13860.\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.8 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43536*l - 3213 = -43347*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3\/7 - 47136*n**2\/7 + 941820*n\/7 - 4707600\/7 = 0. Calculate n.\nAnswer: 10, 15692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 13*g + 7*g - g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -21921 and -21901 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p - 8. Let x be b(11). Suppose 2*o - x = 3*w, 0*o + 5*w = o - 35. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 4*b. Let q(i) be the first derivative of -5*i - 3 + 3 + i**2 - b - 6. What is the derivative of q(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2722 + -2453. List the prime factors of f.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -2 (c) -1.8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 278*u - 137080. What is z(-201)?\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991646.4 years to months.\nAnswer: 11899756.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13 - 14 - 1261*g + 1255*g. Let c be v(-5). Solve 2*y + 2*w - 3*w - 1 = 0, 5 = 4*y - c*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 7 + 7 + -12. Suppose -5*n = r*h + 36 - 6, -5*h + 2*n - 2 = 0. Which is the second smallest value? (a) -3\/5 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -6680.4653?\nAnswer: 6678.4653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5404986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.11? (a) 0.5 (b) 9.3 (c) 2\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7110 not equal to 4157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*d**2*s**3 - 205*d**2*s**2 - 10*d*s**3 wrt s?\nAnswer: -84*d**2 - 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*p + 415, -2*n + 2*p + 160 = 7*p. Suppose -6*v + n = -23. Let i be (-2 + 29)\/(1\/1). Calculate the highest common factor of i and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1421, 2370, 3949, 6158, 8997?\n\"Answer: 315*u**2 + 4*u + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.99. Let m = 0.41 - n. Let r = m + 0.08. Which is the nearest to 0.2? (a) -0.2 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8555 and 21653.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Suppose -158 = -11*n - 70. Suppose -6*j = -4*j. Solve -i*t - 2*t + n = j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 39. Let d be 36724*-58 - (6 - k). Let s be d + (3 - (0 - -7)). Round s to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*k + 8278891, 0 = -4*u + 1198 - 1226. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o - 4 - o**3 + 42*o**2 - 45*o**2 - 3*o. Calculate u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1666, -3137, -4418, -5509, -6410?\n\"Answer: 95*d**2 - 1756*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12*(y*y**(-9)*y)\/y assuming y is positive.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 67980.\nAnswer: 1019700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from {q: 10, p: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q*s*t**3*u**3 + q*s*t**3*u**2 - 7*q*s*t**2*u**2 - 1044817*s*t**3*u**3 + 482157*s*u**2 wrt u?\nAnswer: 6*q*s*t**3 - 6268902*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*h**2*s**3 + 4*h**2*s**2 + 32*h**2*s + 48*h**2 + 340*h*s - 3*h - 24*s**3 - 8 wrt h?\nAnswer: 36*s**3 + 8*s**2 + 64*s + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 - 3.10000158. Round j to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:01 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 5*u - 14. What is g(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**3 + 4*o**3 + 4*o**3 + 26*o**2 + 9*o**3 wrt o?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (31 + -27)*6\/8. Solve 3*k = p - 7, g*p + 4*k = -0*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 18*r**3 - 71*r**3 + 20*r**3.\nAnswer: -33*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 276901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**7\/v*v))\/v*((v\/v**(2\/33))\/v)\/v)\/(v\/v**1*v)**14)\/((v*v**(3\/2))\/v**10)**(1\/4) assuming v is positive.\nAnswer: v**(-5065\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g**2 + 9*g - 5. Let t be n(6). Let s = 15 - t. What is the third derivative of 3*j**4 - 11*j**4 - 28*j**3 + 28*j**3 + 6*j**s wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {w: 2, v: 4, u: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + x. Let h(r) = -4*r**2. Let w(a) = 3*a**2. Let u(p) = -2*h(p) - 3*w(p). Let n(v) = -10*v + 32. Let g be n(3). Calculate g*t(z) - 9*u(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -41*t + 10. Let p(d) = 18*d - 5. What is -5*p(j) - 2*r(j)?\nAnswer: -8*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 15. Let q be t(8). Which is smaller: q or 16\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 1026336?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11627499, -11627498, -11627497?\n\"Answer: f - 11627500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.327 to two dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {z: 7, n: 2, i: 1}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 6. Let k be l(3). Suppose 0 = -2*q + 13*q - 4576. Suppose -2*u + 0*u = 0, 0 = -4*y + k*u + q. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1710, -3507, -5304, -7101?\nAnswer: -8898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(160)*2)\/(sqrt(200) + sqrt(200) + 6*-2*sqrt(200) + sqrt(200) + sqrt(200)) + 5.\nAnswer: 3*sqrt(5)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*i + 46 = 0, -2*i = -8 - 0. Is 0.07 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 1, o: 2, x: 1, y: 1, s: 6}. What is prob of sequence xe?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44375, 13, 5, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let x(z) = -7*z**2. Calculate x(b(i)).\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 1023*l**2 - 654*l + 1339. Find the first derivative of p(c) wrt c.\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-343)\/(-28) - 1\/4. Solve -i = -d - 7, 2*i - q = -d - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1042568\/3747 + -16578595529\/239808. Let g = 68853 + h. Calculate the common denominator of -97\/28 and g.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 101*t - 27. Let u be s(20). Is -10 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(3 + -4 + 7)\/2. Suppose -5*x - i = -10*x. Calculate the smallest common multiple of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 604, -57, 4, -4, -28, 3 in ascending order.\nAnswer: -57, -28, -5, -4, 3, 4, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-7 - -3*25\/15). Suppose r*q = -q + 15. Solve -q = -7*p + 32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/16 + (-2)\/8. Suppose 2*x - 17 - 3 = y. Let s(k) = -679*k + 679*k + x*k**2. Let r(v) = v. Determine s(r(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76a68 (base 11) in base 8?\nAnswer: 332215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 382853118?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 696970 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 d when three letters picked without replacement from {l: 1, x: 1, p: 1, h: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10969146 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 802328167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 4:18 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -53, -25, 23, 97?\n\"Answer: n**3 + n**2 + 4*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-12 - -3) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*n = -85*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9882 = -3*v, o + 2318 = v - 976. List the prime factors of v.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1448.5 + -1451.5. Suppose -67 + 7 = -4*w. Let p be (3\/14)\/(w\/10). Which is the closest to 0.2? (a) -1\/5 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2 - 2 + 1)*(-13*x**3 - 8*x**4 - 1023*x**2 + 1023*x**2).\nAnswer: 16*x**4 + 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 4398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21423382 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23452 - 401?\nAnswer: -24153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4381347*m**3 - 4715620*m**2.\nAnswer: 26288082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -4)\/(3\/(9\/6)). Suppose f = -2*x - 4*q + 12, -9*q + 1 = -x - 4*q. Suppose x*z = -5*t + 172 + 184, -4*z - 2*t + 368 = 0. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -0*n - d, 0 = -2*n - 8*n + 8*n + d - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218689.\nAnswer: 29, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1917 is divided by 1695.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -37*b**2 + 5*b + 17. Let c be r(-5). Let d = -259 - c. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/3 + 1368*c. Let u(n) = 114*n + 1. Give u(q(j)).\nAnswer: -456*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001606 to 5 dps.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 + -413. Let a = 706 - g. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s*s**(2\/5))))**(1\/5)\/((s*s*s\/(s**(-2\/25)*s)*s*s)\/((s**(1\/6)*s)\/s)) assuming s is positive.\nAnswer: s**(-97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -79. Let n be (-75)\/h - 8\/(-3). What is the closest to -2\/9 in -2, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {n: 3, e: 2, x: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.1195.\nAnswer: 0.0478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 13 (c) -1 (d) 2 (e) -1109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 4*m**2 + 2*m - 1. Let p be g(3). Let x = p - 13. What is the greatest common factor of 90 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*g**2 - 901297*g*x + 4946970*x wrt g.\nAnswer: 88*g - 901297*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 940448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.047 - -3.953. Sort o, 2\/37, -3\/10 in decreasing order.\nAnswer: o, 2\/37, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -37.96.\nAnswer: -38.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -32*u - 77. Let b(w) = -15*w - 42. Let n(t) = 9*b(t) - 5*y(t). Let m(x) = 76*x + 22. Give 5*m(i) - 16*n(i).\nAnswer: -20*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + i + 2)*(-426*i + 423*i + 609*i)*(3 - 6 - 1)*(4 + 4 - 3) to the form c*i + n + u*i**2 and give u.\nAnswer: -12120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62, 152, 270, 416, 590, 792, 1022?\n\"Answer: 14*v**2 + 48*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/11 - 12198*f**2\/11 + 6898084*f\/11 + 13844976\/11 = 0. What is f?\nAnswer: -2, 633, 5468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 150677.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose 4*c - 2 = z*c. Let i(n) = 3*n - 1. Let d be i(c). Solve -12 = d*k + a, k - a = -0*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**3 + 172*o**2 - 646*o + 20. Let i(q) = -3*q**3 - 86*q**2 + 324*q - 8. Let h(f) = -2*g(f) - 5*i(f). Determine r, given that h(r) = 0.\nAnswer: 0, 4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/21 + 10662292*z**3\/21 = 0.\nAnswer: 0, 5331146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, y: 1, l: 2}. Give prob of sequence yld.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25000 is divided by 3566.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -22, -36?\n\"Answer: -14*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113546860 divided by -5012?\nAnswer: 22655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t*t)\/t)**(1\/4) assuming t is positive.\nAnswer: t**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) + 5*(sqrt(2448) + 0))**2 + 5.\nAnswer: 88138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53.8, -1.2297, 0, -0.3 in descending order.\nAnswer: 0, -0.3, -1.2297, -53.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*o = 12, 4*f + 2*o - 18 = 4*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -6.8, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or 154?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52613082 and 9136?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-6)\/(c*(c*c**(-1\/11)*c)\/c*c*c*c**5))\/((c**1\/c)**42\/(c**(-2))**(2\/13)) assuming c is positive.\nAnswer: c**(-4874\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:22 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 980 = a, -t + 68 = 2*a - 117. Let x = 503 - t. Does 44 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/(-2))\/(4\/(-8)). Suppose 2*p - 2*w = 3*p - z, -5*p - 4*w + 117 = 0. Suppose -3*a = 2*a - p. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + s = 33, 5*a - 15 = 5*s - 0. Suppose -5*u + c = -4*u - 6, -3*u - a = 3*c. Factor 2\/3*p**3 - 2\/3*p**4 + 0 - 2\/3*p**5 + 0*p + 2\/3*p**u.\nAnswer: -2*p**2*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16 + 7*k**2 - 11*k - 18*k**2 + 13*k**3 - 34*k**3. Let s be ((-11)\/(-1))\/(4*(-3)\/(-12)). Let g(v) = 4*v**3 + 2*v**2 + 2*v - 3. Give s*g(q) + 2*b(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -994, -2310, -3626, -4942, -6258?\n\"Answer: -1316*f + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 19*g**4 + 112*g**3 + 188*g**2 - 64*g - 256.\nAnswer: (g - 1)*(g + 2)**2*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -7?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253\/670 + 3\/134. Which is the second smallest value? (a) p (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 6 + 85*v + 5 as o + d*v and give d.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*s + 3 = 0, 1 = 4*r - 2*s - 3. Let n = -379 + 377. Which is the second smallest value? (a) 5 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1129073 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -476.35403 to 1 dp.\nAnswer: -476.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11003011 (base 4) to base 12\nAnswer: bb71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from bnizrrrrrrrdirnrrr.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13182500 to the nearest 100000.\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3. Let w = -10 - -18. Suppose 4 = -2*d + w. Let p be c(d). Solve 4*q + 0*q - p = -4*k, 0 = 2*q + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 - 261*x**2 - 2*x**4 - 9*x - 36*x**5 + 265*x**2 wrt x.\nAnswer: -2160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/(-6) + (-2)\/4. Let t = 6 + g. What is the units digit of 0 + (t - (-1 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*x - 11448. Let b = 3847 - x. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.6, -0.019717, -3 in decreasing order.\nAnswer: 0.6, 1\/2, -0.019717, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1122232 + -44331?\nAnswer: -1222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7498302 less than -7498303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/11, -27523, 1.3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 297*y**2 - 203 + 120 - 50*y + 84 wrt y?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 422*g - 1. Calculate v(88).\nAnswer: -1585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 - 4*p**2 + 2*p + 3. Suppose 0 = -4*h - 16, l + 5*h = 2*l - 17. Is 11 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:46 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2809215 + 7.\nAnswer: -2809208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 56343.\nAnswer: -169029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.0815948 to two decimal places.\nAnswer: 28.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.41, 4, 2\/35?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18389231 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 2*s**2 + 8 + s**2 + s**2 + 4*s - 4*s**2. Let m be u(4). Calculate the highest common factor of 84 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/4 - 213*u**4\/8 + 1233*u**3\/4 - 8877*u**2\/8 - 2541*u\/4 = 0.\nAnswer: -1\/2, 0, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -31*i**4\/6 + 185*i. Let m(c) be the third derivative of c**4\/8 + 36*c**2 + 1. Determine x(m(b)).\nAnswer: -558*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 - 13*y**3\/6 - 26*y. What is the tens digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 899609053 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*g - 131, 0 = -6*f + f - 5*g + 290. Let c = 56 - f. Suppose x - 3 + 15 = c*o, 5*x - 8 = -2*o. Put -4, 1\/4, o in decreasing order.\nAnswer: o, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 200. Suppose 0*h = 2*h + 4*d - 140, -3*h - 4*d = -f. Suppose 3*o = -0*o + h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqfqzudzfqqquz. What is prob of sequence uuf?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2 (c) -2\/77 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35708383 is divided by 509.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -218. Let p = 13 - 19. Let a = 4 - p. Calculate the highest common factor of u and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 2*m + 6*m - 14 - 136, -3*d - 23 = 10*m + m for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 30 = -4*u. Let c(q) be the first derivative of 0*q**2 - 1 + 2\/3*q**u + 0*q - 1\/5*q**5 + 0*q**4. Find the third derivative of c(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 17*r**2 + 247*r + 129. Give b(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-338)\/(-91))*864\/(-252)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2303*f**3 - 735*f**3 - 830*f**3 - 739*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*c + (4 - 3 + 1)*(40*c + 61*c - 30*c))*(c**3 + 2*c**3 - 2*c**3) in the form z*c**4 + d*c + b*c**2 + m + h*c**3 and give z.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 101*t - 206. Let m be d(31). Suppose 0 = 2*n - q - 210, -4*n - 3*q + 262 = -158. What is the greatest common divisor of n and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (480 + -474 - (1 - 12)) + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*t + 1 + (3 - 2 - 4)*(-7 - 6 - 6)*(-t + t - t).\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/3 + 9059*r**2 + 80158320*r + 228777566400 = 0.\nAnswer: -10440, -6297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 438203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -184, 6\/11, -4, 16, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*g - 2*g, -40 = -5*g - 5*x. Find the third derivative of 5*y**2 - 12*y**4 + 4*y - 19*y**4 - 2*y**5 - 17*y**4 + 19*y**g wrt y.\nAnswer: -120*y**2 - 696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 9. Let g(i) = -i + 1. Let c(m) = 2*g(m) + z(m). Let u be c(-7). Let h(t) = -t**2 + t + 3. Calculate h(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 130 = 2*x, -2*l + 62 = x - 3*l. What is the highest common factor of 96 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 686*0.16\nAnswer: 109.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -30\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 1)\/(10\/(-32))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f - 453*f = 21*f - 43946 for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4134 + -66?\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 - -500. Suppose 0 = -2*w + 12*w - 3640. Let t = w - q. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30173 and 1475734.\nAnswer: 16233074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13051.0379895 - -13051. Let l = 0.47 + -0.508. Let g = l - r. Round g to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.1, 2, 1, 811 in descending order.\nAnswer: 811, 2, 1, 0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 109840 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 10. Let d = l - 3. Sort d, -1, -5 in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-105) - (10 + (-58)\/15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 14*l - 6298. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + c + 1)*(-7 - 2*c + 7) + 2*c - 2*c**2 - 2*c in the form r + t*c**2 + n*c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*i**5 + 74*i**2 - 3*i**5 - 3460*i**4 + 3460*i**4 wrt i?\nAnswer: 1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/2, 1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2 + 3*p - 8. Let o be l(-8). Let r be (-4)\/5 + (-96)\/o. Let d = -0.33 + 0.22. Which is the closest to r? (a) d (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1719 - -1718) + -21 + 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45 - 0\/3) + -2. Suppose 4*h - 55 = -t. Suppose 5*u - 77 + 322 = 5*v, h*u = -6. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 + 2*j - 4. Let m(y) = 25*y**2 + 11*y - 21. Let a be 7\/(-49) - ((-18)\/126 - 2). Calculate a*m(u) - 11*x(u).\nAnswer: -5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13*((q\/(q\/(q\/((q*q*q\/(q\/(q*q**8))*q*q)\/q))))\/q)\/q assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12222 (base 4) to base 10.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413053867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14883*z + 197 - 14793*z - 49 wrt z.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8 + (-876)\/(-14))*7 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -2.018571?\nAnswer: 1.818571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*z**3 + 33\/8*z**2 + 135\/8 - 117\/8*z.\nAnswer: -3*(z - 5)*(z - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 0.1 (c) 0 (d) 368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/17))\/c*((c**(-5)\/c)\/c)\/c*c*c\/c**1*c*c*c\/c**(-2\/5)*c assuming c is positive.\nAnswer: c**(-231\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngguunngnnngngggggn. What is prob of picking 4 g?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 3*i**5 - 2*i**5 + (-2*i**3 - i + i)*(i**2 - 2 + 2) + (-55*i**3 + 22*i**4 + 55*i**3)*(8 - 4*i - 8).\nAnswer: -91*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 75 = -3*o. Suppose 239 = 62*t + 53. Calculate the remainder when o is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 1. Let l be (-66)\/(-15) + 15\/25. Suppose 10*a + 10 = l*a. What is c(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 11. Let l(q) = q + 12. Let b(r) = 7*d(r) - 6*l(r). Calculate b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -4.6. Let x = 3.8 + -2.8. What is the closest to 1 in g, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1 = 4. Let t be 1*((-9)\/(-4) - 2). Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3877474148 + 0.\nAnswer: 3877474148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 12 - 4. Calculate the common denominator of (s\/(-18))\/((-20)\/6) and (14\/6*-39)\/(3 + -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 129192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 7*m**2 + 7*m - 1. Let n be p(5). List the prime factors of n\/((-3161)\/522 + (6 - 0)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/26415 and 76\/8805?\nAnswer: 26415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*o**4*s**2 - j*o**2*s**2 - 9*j*o*s + 159*o**4*s**2 + 12*s**2 wrt o?\nAnswer: 48*j*o*s**2 + 3816*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 928 and 20.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317\/2 - -160. Which is the closest to -0.01? (a) -3 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**29)\/f)\/((f\/f**(-4\/23)*f)\/f*f) assuming f is positive.\nAnswer: f**(-717\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -1695 (c) -0.2 (d) 0.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*u - 20892 = 7*u + 43006 + 24036 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j + 10*p = 45*j + 65, 20 = -5*j + p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g - 5. Suppose 0*s + 4*s + 11 = d, -2*d = s - 22. Let a = d + -9. What are the prime factors of l(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Let q = s + 9. What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1427 (b) 2 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 265834906*x**4 - 89*x**2 + 2238010*x.\nAnswer: 6380037744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 20. Let g = 11 - m. Which is the closest to 0.1? (a) 0.2 (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 9 = 3*u - d, 4*u + d = 4*d + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1895132 and -4?\nAnswer: -7580528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 5}. What is prob of picking 4 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2066 and -0.5461.\nAnswer: -0.3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -156, -216?\n\"Answer: -60*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/5)\/n)*n)\/(n*n**(-1\/6)\/n))\/(n\/(n**0*n)*n)**(-2\/17) assuming n is positive.\nAnswer: n**(1573\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1475, 5753, 12883, 22865, 35699, 51385, 69923?\n\"Answer: 1426*i**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 107. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 23*b + 32. Let j(z) = 10*z**2 - 25*z + 34. Determine -6*a(u) + 5*j(u).\nAnswer: 2*u**2 + 13*u - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 62. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:44 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4639\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:03 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/384 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/199174261 and -19\/9012410?\nAnswer: 1991742610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*(-120)\/16. Suppose u*h - 103 = 2*m, -5*h = -h + 5*m - 122. Calculate the highest common factor of 99 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + -14 - (17 + -2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2367*q = 2368*q - 3*f + 7, -3*q - 13 = -5*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 + 4*l**2 + 4. Let k = -45 + 75. Let c = -31 + k. Let o(r) = -r**3 - r**2 - 1. What is c*m(a) - 6*o(a)?\nAnswer: 2*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 176\/12 - 4\/6. Let x be 83999988\/(-28) + (-6)\/t. What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i + 25 = 0, -h - 5 = i. Suppose h = -0*q - 2*q + 2. What is the units digit of -4*2*q\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130839441521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099*y = -139*y - 1129*y - 137192 + 356047 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142722898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266 - 63. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9614, 3\/5, 2\/7, 3, -0.29, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1005132224 + -1?\nAnswer: 1005132223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (123\/(-6) - -3)*-10. Suppose -6*v = -v - s. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u. Let s(j) be the first derivative of -9*j**4\/4 + 2*j**2 - 7. Give -6*p(t) - s(t).\nAnswer: 3*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 24)*((-6)\/3 - 520\/(-174)) + -6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babbifdfafbb. Give prob of picking 1 a and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -7 + (-16 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 67 + 37 - 23*i to the form f*i + h and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -25 - (1 + 6 + 122 + -118)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/4 - 19005*y\/4 + 4752 = 0. Calculate y.\nAnswer: -6336, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.06 - 0.06. Let p = 4 - f. Sort p, 2\/13, -2 in decreasing order.\nAnswer: p, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 14 = -4*f - 4*z, 3*f + 5*z - 7 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b + 4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61523, 122863, 184203?\nAnswer: 245543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556957, 557485, 558013, 558541?\nAnswer: 559069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 1. Let z(q) = 60*q - 66. Let x be z(8). Calculate the remainder when (-2)\/(-3) - x\/(-27) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14094 and 1806?\nAnswer: 4242294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*x - 2 = 0, -3*v + 14 = -4*v + 3*x. Suppose 9*f - 2 = 8*f. Let j(t) = -1 - 563*t**f + 1 - t**3 - 7*t + 557*t**2. Give j(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -10 - (-15 + 10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v**3 + 5*v**2 + 2*v + 6. Let g(i) = 15*i**3 - 9*i**2 - 4*i - 11. Let y(p) = 2*p - 18. Let d be y(6). Determine d*g(t) - 11*l(t).\nAnswer: -2*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekf when three letters picked without replacement from {e: 1, l: 1, k: 1, v: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*b + 0*o = 386*b + 7*o + 27*o + 271, -34 = -2*b + 4*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134454 = -10512*q + 305143 + 107027 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 93.9999947. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from eqeeqqqccec.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -50951.864 to the nearest 10.\nAnswer: -50950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + 14 + -8 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 138*z**2. Let f(s) be the first derivative of s**2\/2 + 1790. Determine f(c(p)).\nAnswer: 138*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -364*r + 10445 + 1091. Which is smaller: 138 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 13*d - 19*d - 7*d)*(2 - 2 + 10*d).\nAnswer: -450*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**7\/3780 + z**6\/180 + z**5\/36 - z**4\/4 - z**2. Let k(x) be the second derivative of p(x). Find h, given that k(h) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2 - 2. Let q(m) = 20*m**3 - 318*m**2 + 34*m + 264. Let f(i) = 6*c(i) - q(i). Find g, given that f(g) = 0.\nAnswer: -6\/7, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160499 times 193?\nAnswer: 802976307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 7. Let j = d + 6. What is the third derivative of 4*f**j - f**2 - 4*f**2 + 3*f**3 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let z(y) = -y - 48. Give z(q(p)).\nAnswer: 2*p**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - 2*g**2 + 3*g**2)*(-4 - 2*g + 4) - 6256*g**2 + 6256*g**2 + 11*g**3 - 3.\nAnswer: 19*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 - 8532655*p**2 - 29*p - 93589.\nAnswer: -6*p - 17065310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2956 smaller than -0.0411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 107, -5, 3, 1 in decreasing order.\nAnswer: 107, 21, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*h = -275*h - 3381 - 1503 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507979 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8056\/17 - 474. Let x be 1\/(6\/(-9))*-2. Let g = 2 + x. What is the third biggest value in -1\/3, g, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1400)\/360)\/(((-220)\/(-154))\/(6\/7)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32362 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 13*l**2 - 6*l + 2. Let d be a(9). Let g = 1614 + -1598. What is the highest common divisor of g and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/((-9)\/(-96)*444\/(-8658))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l = 16*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1511689 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2. Let n(w) = 9075*w**2 + 2*w - 1. Determine n(p(f)).\nAnswer: 36300*f**4 - 4*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 551935931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 74. Let u(q) = 4*q - 1. Let s be u(-1). Sort -2, s, f in descending order.\nAnswer: f, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 0*u**2 + 4*u**2)*(-4 + 5 + 4) - 2*u**2 - 2*u**2 + 5*u**2 + (u + u + 0*u)*(0 - u + 0).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 83*z**2 - 3 + 2 + 8.\nAnswer: 83*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -213, -402, -577, -732, -861, -958?\n\"Answer: c**3 + c**2 - 199*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259829739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m**(2\/15)*m))\/(m\/(m\/(m\/m**(-2\/9)))*m**8*m) assuming m is positive.\nAnswer: m**(-887\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*-4*(33580\/3440 + -9) + 1?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.3, 17, 12, -19, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 15*s + 2. Let v(o) = o**2. Let a(m) = j(m) - 5*v(m). Let u be a(-15). Suppose -4*k = -u*k - 8200. Round k to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2414 (base 6) to base 15\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 36. Suppose i*p - t = 1, -4*t + 2 = 2*p - 4. Let h(y) = -2*y + p + 2 + 0*y**3 + y**2 - 2*y**3. Determine h(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - u**3 - 4*u**3 + 3*u - 3*u - 2*u**3 + (-3*u + 5*u + 0*u)*(-2*u**2 + 4 - 4) - 1 - 7*u**3 + 1.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3983, -1\/8, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1130 = -2*m, -3*j = -5*m + m - 678. Let q = j + -112. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2}. What is prob of sequence vk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215384367 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 449 = -2*y + 489, -2*y + 3*p + 54 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*0.0583.\nAnswer: -0.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - 1.3. Which is the third biggest value? (a) -4 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-267)\/(-5)*(14 - 12). Let v = a - 3977\/40. What is the common denominator of 49\/6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9\/((-3)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vwwwjjvaws.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*t + 4*p, 0 = t + 7*p - 3*p - 23. Solve 0 = -4*x - l - 12, -t = 4*x + 3*l + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*z**3 + 6\/5*z - 3*z**2 + 24\/5 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 16. Suppose 4*b - 12 = 2*v, -5*b + 2*v + 8 = -x. Suppose 126 = 3*w + o, -b*w - o - 3*o + 74 = 0. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 3*l**2 + 2*l - 2. Let d = -914 - -914. Suppose -2 = -2*u + 2. Suppose -3*p - 8 = -u*m, -2*m + 0*m - p - 8 = d. Calculate v(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66682 by 433.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z + 39. Let l(x) = -4*x. Calculate l(w(j)).\nAnswer: -60*j - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -301, 2, -251 in increasing order.\nAnswer: -301, -251, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 7b?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -5639?\nAnswer: 225.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -569665445.8 to the nearest 1000000.\nAnswer: -570000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 1993, 4463, 7897, 12283, 17609, 23863, 31033?\nAnswer: 39107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/6, -2\/3, -0.09, -2.\nAnswer: -2, -2\/3, -0.09, -0.05, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -294 - -190. Let x = 159 + z. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*4\/4 - 0. Let p(w) = 7*w + 53 + 5*w**2 + 0*w**3 - 43 + w**t. Is p(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.8 + 41.0318491\nAnswer: 0.2318491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 9 = 2*c, j + 25 = -4*j - 5*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1749*p - 6. Let o be v(6). What is o rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652 is divided by 161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -3 + (6 - (-4)\/(-1)). Let t be (2\/2)\/((-21)\/(i + 3)). What is the smallest value in -3, -3\/4, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*f + 44*f - 96*f + (0*f + 3*f - 2*f)*(-12 + 17 + 55) as k + y*f and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*k + 386 - 386 to x + o*k and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23733 + 23615.59. Let z = 118 + c. What is z rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0125 times -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*i)*(-3*i - i + 2*i) - 4 + 2*i**2 + 4 - 8*i**2 - 2*i**2 + 2*i**2)*(-24444 + 24444 + 134*i).\nAnswer: -268*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-4)\/(-8)). Let v = t - 0. Let y be (-2)\/((0 - v)*-7). Which is the third biggest value? (a) y (b) -2\/3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.43 or 1\/6?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.1 - -9. Let s = j - -1. Let b = -585 + 581. What is the nearest to 0 in s, -3, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(((c\/((c\/((c\/(c\/c**33)*c)\/c))\/c)*c)\/c)\/c)*(c\/(c**(-23)*c)*c)\/c assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-34136)\/(-68) + (4\/(-1))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23 = -0*l - k, 5*l = -k + 25. Suppose 0 = -l*m + 8*m - 196. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8558 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3470 is divided by 864.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31466 greater than or equal to 31467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 13*v**2 - v + 12. What is z(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 1 - 3. Suppose c*d + 74 = -3*d - 4*a, -3*d - 3*a - 42 = 0. Is 14 a factor of (-7)\/(21\/8)*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*1*sqrt(325) + (5 + 2*sqrt(325) + sqrt(325))**2 + (sqrt(325) - 5*(0 + sqrt(325))).\nAnswer: 170*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7749.8 to the nearest 100.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 + -3. Let l = 0.1 + z. Let h = 412\/9 + -46. What is the nearest to 0 in h, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*l + 98, 5*l - 118 = -y - 0*y. List the prime factors of (-1)\/((3\/l)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 828 and 138?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*o + 469, -5*o + 3*w - 581 = w. Let i be o\/(-9) - (-2)\/9. Suppose i = m + 4*q - 13, 2*m - q - 7 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7880 and 0.003.\nAnswer: -23.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66925 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -41*g + 132*g - 41*g - 38*g - 36*g. Let u(w) = 5*w - w + 0*w - w. Determine u(b(n)).\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 8*k**3\/3 - k**2\/2 + 3. Suppose 6 = -2*n + 5*n. Let v be (0\/(-3))\/n - -6. Let y(f) = -f**2. Determine v*y(t) + i(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qqyyqqcqqcq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1100 divided by 275.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1169.\nAnswer: -233.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*z + 62. Suppose 3*g - 38 = 2*g - 4*t, 0 = -4*g + 2*t + 80. Calculate the greatest common factor of g and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 3*o**3 - 3*o**2 - 10 + 3*o**3 in the form y*o**3 + u*o + n*o**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 261, 339?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -12.5. Let d = 8 - p. Let s = d + 3.2. Which is greater: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 839.77?\nAnswer: 251.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-5)\/60) + -5. Let o(f) = 5*f**2 + 1. Calculate o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.3363677 to zero dps.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 = -3. Let w(a) = 56*a - 2. Let z be w(m). What is the least common multiple of ((-12)\/5)\/((-44)\/z) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 - -167. Let f be -4 + 99\/q + (-10)\/(-25). Solve 3*w - x - 7 = 0, -1 = -f*w + 2*x + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**3 + 4066. Let t(k) = 2*k - 84. Determine t(c(f)).\nAnswer: 6*f**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809802.8 rounded to the nearest one thousand?\nAnswer: 1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 = 13. Let w(i) = -i**2 + 7*i + 8. Let s be w(r). Let h be (-2)\/s + (-24)\/70. Which is the nearest to 0? (a) 4 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b33 (base 15) to base 8\nAnswer: -4733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/(-240)*-4\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434241.\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/88 and 95\/2424.\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-60) + 2582\/19365)\/((-23)\/(-6)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 - 7*c + 1. Let g be s(-2). Suppose 279 = 2*f - g. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/15, -2\/3, 11\/832?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9562233.8 to the nearest 100000.\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + 0)) + 1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, y: 2, l: 3}. What is prob of sequence lx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 2*d = -7*r - 4, 2*r + 5*d = 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 4786*c + 5726449 = 0 for c.\nAnswer: -2393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y\/(y\/y**(-8))*y))**(2\/65)*((((y**(-6\/13)\/y*y)\/y)\/y)\/y)\/(y*y\/(y\/(y\/(y\/y**(-2\/17)))*y)*y)*y\/(y\/(y\/y**(-1)))*y\/(y**(-2)*y) assuming y is positive.\nAnswer: y**(-108\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/w**1)\/w*w)\/w)**(-39))**(2\/13)*w**(7\/3)\/(w**(-2\/7)\/w)*w**(1\/2)\/(w\/(w*w**(-1\/8))) assuming w is positive.\nAnswer: w**(671\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 3*h - 4*h + (-2*h + 6*h - 12*h)*(0 + 2 - 1) + 0*h + 0*h - 2*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.5. Let x = 2 + -11\/5. Which is the third smallest value? (a) s (b) -11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + 3*r**2 + 4*r**2 + (2*r + 0*r + 0*r)*(-1 - 2*r + 1) + 0*r**2 - 2*r**2 + 0*r**2 - 5580896 - 76*r**2 + 5580896.\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 15, -1033, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzg when three letters picked without replacement from gzzzggz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -2.1, -3?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 32*a**2 + 130*a - 26. Let f(h) = -5*h**2 - 20*h + 4. Let d(o) = 26*f(o) + 4*p(o). Let z(j) = 17*j**2 + 2*j + 6. Give z(d(c)).\nAnswer: 68*c**4 - 4*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418322.\nAnswer: 2, 37, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-517)\/(-77) - 4\/(-14). Suppose 0 = -w - x + 15. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860364.\nAnswer: 2, 3, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -229 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (476 - 488) + (29 - 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 34*d - 479. Calculate the lowest common multiple of 2 and o(22).\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:27 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 353716320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90, -674, -2264, -5364, -10478, -18110?\n\"Answer: -84*l**3 + l**2 + l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -193969, -193944, -193917, -193888?\n\"Answer: r**2 + 22*r - 193992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -50*v - 29\/2*v**2 + 0 - 1\/6*v**3. Let u(z) be the third derivative of -z**5\/30 + 9*z**2. Give i(u(r)).\nAnswer: 2*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (230\/24 + 4\/(-16))*27.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztft when four letters picked without replacement from toazatzf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738 is divided by 110?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six ninths of a week?\nAnswer: 51520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 81, 91, 101, 111, 121?\n\"Answer: 10*k + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31630 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*g - 152*g + 24135 = 23143 - 48687 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 924.3153 kilograms?\nAnswer: 0.9243153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24527 + 24527.3. Which is the biggest value? (a) u (b) 1 (c) 2\/37 (d) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276 or 285?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 1 - -35) + 404 + -379.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*t + 18 = 550*t + 6*d, 11*t - 3*d - 2*d = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 1, j: 2}. What is prob of sequence jdj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -116 (b) -3 (c) 5 (d) 2.9 (e) -0.4 (f) -2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.45729 rounded to 2 dps?\nAnswer: 4.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -68.9999928. Round y to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 9 - 63\/(-36)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92681190 by -14.\nAnswer: -6620085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -13 + 0*u**2 + 0*u + 7\/3*u**3. Let k(i) = -3*i. Give g(k(r)).\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5385719 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 283022.5785267 and 6.\nAnswer: 283028.5785267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11682, -11681, -11680, -11679, -11678, -11677?\nAnswer: -11676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.1. Let i = 1817\/216 + -671803\/64584. Let w = 44\/23 + i. Which is the second biggest value? (a) -4 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*((33 - 10 + 30)*(2 + 16 - 2)*(-3*a**4 + 2*a**4 + 2*a**4) - 10*a**4 - 205*a + 205*a).\nAnswer: -1676*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 20 = -4, 2*m = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -2*x + 79. Solve -c = 105 - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, m: 1, f: 6, k: 2, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*w - 2. Let q be (-2 + 3)*2\/w. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2111 = -5*l, 2*n = 3*n - l - 703. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 436 and 3?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*l + 29*l + 20. Suppose t - 1 - 1 = l*c, 0 = -4*c + 3*t + 2. Is 20 a factor of (3\/12 - c)\/(1\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 7:48 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 6. What is the derivative of -2*y**3 - 4 + 9*y - p*y wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 46*s**2 + 18*s - 3. What is the remainder when x(6) is divided by 105?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let v(m) = m**2 + 4*m + 4. Let j(s) = -4*r(s) - v(s). Let f(z) = -10*z. Let n(g) = -3*g. Let c(h) = 3*f(h) - 8*n(h). Give j(c(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2845 - -2819) + (0 - (-2888)\/111)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.0460677.\nAnswer: 0.00921354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1464 (base 7) to base 5.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 4*i + 2*i**3 - i**3 + 3*i**2 + 5. Let y(h) = h**3 - 11*h**2 + 11*h - 14. Let l be y(10). Is f(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108972396 divided by -54486198?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10010 + -70072\/7. Which is the smallest value? (a) d (b) 507 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqud when four letters picked without replacement from ppudyqyqqpy.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 123*i + 1634. Determine f(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589 + 589 + 1371*k**3 - 2*k**3.\nAnswer: 1369*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*a + 13, r - a = -4*a + 1. Suppose 5*y - v = 2*v + 44, -22 = -r*y - 2*v. Let s(n) = -n**2 + 6*n + 8. What is s(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 26 = 4*f, -360*f = 8*d - 364*f - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r*r**(2\/19)))))*r\/(r*r\/(r**(-1\/8)\/r)))**29 assuming r is positive.\nAnswer: r**(-4495\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 4, p: 1, f: 2}. What is prob of sequence cccf?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l + 45 - 153. Let s(m) = m**3 - 7*m**2 + 4*m - 22. Does 23 divide s(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43153.536 less than 0.21011?\nAnswer: -43153.32589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226 + 852215?\nAnswer: 851878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 9*r + 163 = 0. Let a = r + -86. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 940, 864, 790, 718, 648, 580, 514?\n\"Answer: n**2 - 79*n + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89358*j = 94603*j - 31470 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 676*m**2 - m + m - 677*m**2. Let w(f) = -63*f**2. Determine w(l(k)).\nAnswer: -63*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-6)*(2 - -1). Calculate the highest common divisor of 242 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.94404 milligrams to tonnes.\nAnswer: 0.00000007794404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -454*o**5\/5 - 322*o**3\/3 + 317. What is the third derivative of t(a) wrt a?\nAnswer: -10896*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-42)\/(-45))\/((-16)\/3). Let o = 3\/40 - c. Let z be (4\/35)\/((-14)\/35). What is the smallest value in 2\/5, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 1537*h**2 - 1639*h**2 + 6*h**3 + 6*h**3 - 2*h**3 = 0. What is h?\nAnswer: 0, 1\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 34*i + 317. What is p(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 227808840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -277 * 13\nAnswer: -3601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c + 7228 = 1788 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 24. Let u = i - 5. Let -2*q - 2*q**2 - 2*q**3 - 2*q + 8*q**u = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*d + 9 = 0, x + 3*d = 2*d - 3. Let z(q) = -10*q**2 - 2*q - 4*q**2 + 12*q**2 + 1. Give z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47175080531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446903.1 years to centuries.\nAnswer: 4469.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 15, -1, -5 in descending order.\nAnswer: 15, -1, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3*sqrt(605) - sqrt(605)) - sqrt(605)*1*5)*4)**2.\nAnswer: 784080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, -1\/4, -12, 1\/2, -0.1 in decreasing order.\nAnswer: 1\/2, -0.1, -1\/4, -12, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*c - 220*c + 873*c - 222*c - 212*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 6) in base 15?\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 311 in 3, -1.5, 4, -1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55968 and 6360.\nAnswer: 279840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*(1 - -1). Let i(g) = -g**3 + 7*g**2 - 7*g + 7. Let z be i(6). Is o at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 - 4*x**2 + 2*x - 4*x**3 + 22*x + 5*x**3 + 27*x**6 wrt x.\nAnswer: 3480*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2564894119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8732521.9 rounded to the nearest 100000?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - s**2 + 0*s**2 + (-5*s**2 + s**2 + s**2)*(3 + 3 - 5) + (340037*s - 109 - 4*s**2 - 340037*s)*(0 - 4 + 1) as u*s**2 + a + z*s and give a.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 12 = 4*r, -138*r - 1 = -143*r - 5*h + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3595181 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 19*y + 42. Let p(i) = -13*i - 28. Determine 5*o(f) + 7*p(f).\nAnswer: 4*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-9))\/((-8)\/(-12))*(-2)\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6255)\/(-2780))\/(273\/(-56)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -15. Let a = -44 + 52. Calculate the least common multiple of x and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1293.812 nanograms to grams.\nAnswer: 0.000001293812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + -3?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - 2 - 3*d + 7*d**4 + 12*d - 3*d**4 - 6*d**4 to the form v*d**4 + q*d**3 + s*d**2 + y*d + t and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21672\/(-49))\/((-3)\/(-42)). Let j = 10561 + c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6 - -7*(-1)\/(-2). Suppose -4*x - 193 = -3*z, 320 = 4*z + y*x + 72. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2045 is divided by 680.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (17 + -31 + 26)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehqhgerqk. What is prob of picking 1 r, 1 k, 1 q, and 1 e?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/3))*k*k**(1\/4)*k)**(-24\/5))**34 assuming k is positive.\nAnswer: k**(-1292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -17. Let l be (z + -3)\/((-16)\/88). Suppose 2*x - 23 = -5*g, -l = -3*g - 2*x + 2. What is the lowest common multiple of g and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -172*w + 170*w + 33548. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - (-9 + (-343 - -4)). Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5265 to two decimal places.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m)\/(m**0*m*m) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -8\/11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-462)\/28)\/11*1*120\/(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(36\/8 - 4). Let q be 4\/18 + 370\/(-45). Let l = q - -4. Put h, -2, l in descending order.\nAnswer: h, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 3006.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/35)\/((-2)\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-0.882\nAnswer: -0.03528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-38)*(20\/35 - ((-1292)\/(-56) - 23))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:33 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 53, -76, 5.\nAnswer: -76, -48, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/59591818 and -77\/16?\nAnswer: 476734544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**3\/5 - 144004*w**2\/5 + 144024*w = 0.\nAnswer: -36006, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (57 + -8 + -46)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a - 18 = 52*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.15059 * 1.1\nAnswer: -0.165649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, x: 6, i: 2, g: 1}. What is prob of picking 4 q?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-43 - 1) + (6 - (13 + -8) - -9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 12*x + 26. Let w be g(13). Let m(f) = 4*f + 7. Let k(o) = -5*o - 4*o - 12 - 3. Give w*m(r) + 6*k(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4161 and 145\/105888.\nAnswer: 146866656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + 5. Let y = 0.19 - q. Let r = 30028 - 30025. What is the second biggest value in r, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**4 + y**3 + 39957*y**2 - 9449617*y.\nAnswer: -48*y**2 + 6*y + 79914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 448867*j + 448867. What is u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*u - 6 = 0, -5*u = -5*h - 139 + 154 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28853857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -1.8 (c) -1288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15355424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14927902987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -90*u**2 - 3326*u + 8. Let t(j) = 34*j**2 + 1110*j - 3. Let y(q) = 3*n(q) + 8*t(q). Find o such that y(o) = 0.\nAnswer: 0, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (11 - 5 - -1) - 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116744535*p**4 - 41091576*p.\nAnswer: -1400934420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jooojjj. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a07a3 (base 11) to base 2.\nAnswer: -100001111111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -144. Does 9 divide (-10668)\/(-108) + r\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let z be u(0). Suppose 4*x - 3*x - 3*o + 1 = z, -2*x - 5*o = -9. Solve -2*g = l - x, 2*l - 5*g + 5 = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 3*c. Let r(m) = -m**3 + 3*m**2 + 6*m - 6. Let z be r(4). Let d be n(z). Is 493\/9 - d\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 710 and 980510.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3861 to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 - 12*v - 14. Let i be m(-4). Does 4 divide -1 + i\/5 - 1599\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.98 + 0.02. Let r = -0.9999875 + a. Round r to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*x = 10, -3*x + 8 = 2*t + 17. Solve -t*o + d = -0*o, -5*o = -4*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42561 + 43?\nAnswer: 42624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 62*y**4 - 21930*y**3 + 1779804*y**2 - 39426264*y - 134894160 = 0.\nAnswer: -3, 54, 7710\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 + 1010111001000110?\nAnswer: 1010111000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-3)\/15). Suppose -7*y + 33 = -o. Let g be -4*(-7)\/28 - (-6)\/3. Solve -4*i - y = g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 106. Let x(b) = -q + 1 + b**2 + 2*b + b + 438*b**3. Is x(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.203 - -0.003. Let z = c + -1.3. Let d = z + 6. Sort -5, 1, d in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -437716*d**3 - 103*d - 3374*d + 437712*d**3 to the form b*d**2 + m + u*d + n*d**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1257387827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 5917854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4931*h - 900 = -4881*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (-12 - -82) + -19 + -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4 + 5. Let k be (-2*f)\/(2\/(-5)). Suppose 0 = -k*l + 5*y + 25, -6 = l - 5*y + 5. What is the highest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwywwwwwyww. Give prob of picking 1 y and 3 w.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-12)*4\/1. Let v(z) = -z**2 - 9*z + 9. Does 13 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171305 - 171305 + 2117*x)*(2 + 3 - 7).\nAnswer: -4234*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = -n, -3*n + 12*n - 10*n = 6*h - 30 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81264 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 0, -3*s - k = -2 - 5. Let t(a) = 512*a - 3. List the prime factors of t(s).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -264506 + -216?\nAnswer: -265025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9 - (-23)\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 3100*p - 3104.\nAnswer: 4*(p - 776)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9671.686l to millilitres.\nAnswer: 9671686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 8*d. Let r be o(-6). Solve 0*w + 4*w - r = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09422023 rounded to three dps?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(7*f - 2*f - 4*f) - 13*f - 12*f + 9*f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/(-12))\/(-2))\/(4\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/20)\/(5\/5) + -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -275 + 4?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-119)\/21 + (-18088)\/(-816))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + (sqrt(10)*-1)\/sqrt(2)) - (sqrt(80) + -1 + -3)**2.\nAnswer: -96 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305288513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1580484 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 9*k**2 + 6*k - 4. Let t be i(-8). Suppose -v = 3*v + t. Let a be (-1 - -2) + 1 + v. Is a >= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596*b - 3 + 591*b - 1 - b**2 = 0. Calculate b.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -2\/7, -0.07, -3\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 34490 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*u = 15*u - 11*u + 5454 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 6*p + 7. What is the tens digit of s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 45. Suppose -20 = -4*d - 8. Suppose 5*v = d*s + 113 + 9, 0 = -4*s + 4. Calculate the remainder when v is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from purpk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 878227781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2.8, -1.\nAnswer: -2.8, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -6605, 14, 1, -2 in decreasing order.\nAnswer: 14, 5, 1, -2, -4, -6605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001117 rounded to 5 decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 215 = -0*q + 3*q, -2*r = -2*q - 90. Let n = r + -60. Let w(p) = -p**2 - 12*p - 15. Let c be w(n). Sort 0, 1\/4, 2, c.\nAnswer: 0, 1\/4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 139*y + 2307. Determine c(-8).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}